Answer:
He needs to study for an additional 30 minutes - 12 minutes = 18 minutes before taking a break.
Step-by-step explanation:
To determine how many more minutes Mason needs to study before taking a break, we can calculate the remaining study time.
Mason plans to study for 1 and 1-half hours, which is equivalent to 90 minutes.
He will take a break once he has studied for 1-third of the planned time, which is 1/3 * 90 minutes = 30 minutes.
Mason has already studied for 12 minutes.
Therefore, he needs to study for an additional 30 minutes - 12 minutes = 18 minutes before taking a break.
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which of the following are like radicals? Check all
of the boxes that apply.
3x√√xy
-12x√√xy
-2x√√xj
x-√4x2²
-x√x²y
2√xy
Answer:
the first 2
Step-by-step explanation:
let me know if it is wrong
I need help!! f(x)=-2(x-3)
Answer:
Step-by-step explanation:
Certainly! I'm here to assist you.
The given function is f(x) = -2(x - 3).
To simplify this expression, we can distribute the -2 to the terms inside the parentheses:
f(x) = -2 * x - (-2) * 3
Simplifying further:
f(x) = -2x + 6
Therefore, the simplified form of the function f(x) = -2(x - 3) is f(x) = -2x + 6.
GEOMETRY 100POINTSSS
Find x
Answer:
5.9
Step-by-step explanation:
sin Θ = opp/hyp
sin 36° = x/10
x = 10 × sin 36°
x = 5.88
Answer: 5.9
Which of the following are necessary when proving that the opposite sides of
a parallelogram are congruent? Check all that apply.
A. Opposite sides are parallel.
B. Corresponding parts of congruent triangles are congruent.
C. Opposite sides are perpendicular.
D. Corresponding parts of similar triangles are similar.
SUBMIT
Answer:
It's A and B: Opposite sides are parallel and Corresponding parts of congruent triangles are congruent.
Step-by-step explanation:
Determine the equation of the ellipse with foci... 100points
The equation of the ellipse with foci (7, 17) and (7, -13), and a major axis of length 34 is[tex](x^2/289) + (y^2/225) = 1.[/tex]
To determine the equation of an ellipse given its foci and the length of its major axis, we need to use the standard form equation for an ellipse. The standard form equation for an ellipse centered at the origin is:
[tex](x^2/a^2) + (y^2/b^2) = 1[/tex]
where 'a' represents the semi-major axis and 'b' represents the semi-minor axis.
In this case, we know that the distance between the foci is equal to 2a, which means a = 34/2 = 17. The foci of the ellipse are given as (7, 17) and (7, -13). The foci lie on the major axis of the ellipse, and since their y-coordinates differ by 30 (17 - (-13) = 30), the length of the major axis is equal to 2b, which means b = 30/2 = 15.
Now we have the values of a and b, so we can substitute them into the standard form equation:
[tex](x^2/17^2) + (y^2/15^2) = 1[/tex]
Simplifying further, we have:
[tex](x^2/289) + (y^2/225) = 1[/tex]
Therefore, the equation of the ellipse with foci (7, 17) and (7, -13), and a major axis of length 34 is:
[tex](x^2/289) + (y^2/225) = 1.[/tex]
This equation represents an ellipse centered at the point (0, 0) with a semi-major axis of length 17 and a semi-minor axis of length 15.
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Answer:
The equation of the ellipse with foci (7, 17) and (7, -13), and a major axis of length 34 is
To determine the equation of an ellipse given its foci and the length of its major axis, we need to use the standard form equation for an ellipse. The standard form equation for an ellipse centered at the origin is:
where 'a' represents the semi-major axis and 'b' represents the semi-minor axis.
In this case, we know that the distance between the foci is equal to 2a, which means a = 34/2 = 17. The foci of the ellipse are given as (7, 17) and (7, -13). The foci lie on the major axis of the ellipse, and since their y-coordinates differ by 30 (17 - (-13) = 30), the length of the major axis is equal to 2b, which means b = 30/2 = 15.
Now we have the values of a and b, so we can substitute them into the standard form equation:
Simplifying further, we have:
Therefore, the equation of the ellipse with foci (7, 17) and (7, -13), and a major axis of length 34 is:
This equation represents an ellipse centered at the point (0, 0) with a semi-major axis of length 17 and a semi-minor axis of length 15.
I need help with a question
The function for which f(x) is equal to f⁻¹(x) is: C. [tex]f(x) = \frac{x+1}{x-1}[/tex]
What is an inverse function?In this exercise, you are required to determine the inverse of the function f(x) with an equivalent inverse function f⁻¹(x). This ultimately implies that, we would have to swap (interchange) both the independent value (x-value) and dependent value (y-value) as follows;
[tex]f(x) = y = \frac{x+6}{x-6} \\\\x=\frac{y+6}{y-6}[/tex]
x(y - 6) = y + 6
y = xy - 6x - 6
f⁻¹(x) = (-6x - 6)/(x - 1) ⇒ Not equal.
Option B.
[tex]f(x) = y = \frac{x+2}{x-2} \\\\x=\frac{y+2}{y-2}[/tex]
x(y - 2) = y + 2
y = xy - 2x - 2
f⁻¹(x) = (-2x - 2)/(x - 1) ⇒ Not equal.
Option C.
[tex]f(x) = y = \frac{x+1}{x-1} \\\\x=\frac{y+1}{y-1}[/tex]
x(y - 1) = y + 1
y - xy = x + 1
f⁻¹(x) = (x + 1)/(x - 1) ⇒ equal.
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 Ex is tangent to circle O at point L, and IF is a secant line. If m_FLX = 104°, find
mLKF.
Answer:
arc LKF = 208°
Step-by-step explanation:
the angle FLX between the tangent and the secant is half the measure of the intercepted arc LKF , then intercepted arc is twice angle FLX , so
arc LKF = 2 × 104° = 208°
Solve the missing element . use 3.14 for pi and Area = pi r2 ; C= pi D
We can solve for the missing elements as follows:
1. Radius - 10 inches
Diameter - 20
Circumference - 62.8
Area - 314
2. Radius - 6ft
Diameter - 12
Circumference - 37.68
Area - 113.04
3. Radius - 18
Diameter - 36 yards
Circumference - 113.04
Area - 1017.36
4. Radius 15
Diameter - 30 cm
Circumference 94.2
Area - 706.5
5. Radius - 5 mm
Diameter 10
Circumference 31.4
Area -78.5
6. Radius 20
Diameter - 40 inches
Circumference 125.6
Area -1256
How to solve for the valuesTo solve for the given values, we will use the formulas for area, circumference. Also, we can obtain the radius by dividing the diameter by 2 and the diameter is 2r. So we will solve for the values this way:
1. radius = 10 inches
diameter = 20
circumference = 2pie*r 2 *3.14*10 = 62.8
Area = 314
2. radius = 6ft
diameter = 12
circumference = 37.68
Area = 113.04
3. radius = 18
diameter = 36 yards
circumference = 113.04
Area = 1017.36
4. radius = 15
diameter = 30 cm
circumference = 94.2
Area = 706.5
5. radius = 5 mm
diameter = 10
circumference = 31.4
Area = 78.5
6. radius = 20 inches
diameter = 40 inches
circumference = 125.6
area = 1256
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What is -2.93(b + 12) = -11.72
What is b
(Solve two-step linear equations)
. Julio compró ropa por un costo de $5000, por la cual dejó el 20% de apartado. ¿Con cuánto dinero termina de pagar la ropa?
Julio bought clothes for $5000 with a 20% down payment, which amounts to $1000. Hence, he ends up paying $4000 for the clothes.
Julio's clothing purchase involved a total cost of $5000. To secure the purchase, he made a down payment of 20% of the total cost. To calculate the down payment, we multiply the total cost by the down payment percentage:
Down payment = 20% * $5000
Down payment = 0.20 * $5000
Down payment = $1000
The down payment amount is $1000. To determine the final amount that Julio ends up paying for the clothes, we need to subtract the down payment from the total cost:
Total cost - Down payment = $5000 - $1000
Total cost - Down payment = $4000
Therefore, Julio ends up paying $4000 for the clothes.
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The question probable may be:
Julio bought clothes for a cost of $5000, for which he left a 20% down payment. How much money does he end up paying for the clothes?
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
Which table shows positive correlation? A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 15, 12, 14, 11, 18. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 11, 13, 15, 17, 19. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 18, 16, 14, 12, 11.
The second table with x and y values (1, 2, 3, 4, 5) and (11, 13, 15, 17, 19) shows a positive correlation.
To determine which table shows a positive correlation, we need to examine the relationship between the values in the x and y columns. Positive correlation means that as the values in one column increase, the values in the other column also tend to increase.
Let's analyze each table:
Table 1:
x: 1, 2, 3, 4, 5
y: 15, 12, 14, 11, 18
In this table, as the values in the x column increase, the values in the y column are not consistently increasing or decreasing. For example, when x increases from 1 to 2, y decreases from 15 to 12. Therefore, this table does not show a positive correlation.
Table 2:
x: 1, 2, 3, 4, 5
y: 11, 13, 15, 17, 19
In this table, as the values in the x column increase, the values in the y column also consistently increase. For example, when x increases from 1 to 2, y increases from 11 to 13. This pattern continues for all the rows. Therefore, this table shows a positive correlation.
Table 3:
x: 1, 2, 3, 4, 5
y: 18, 16, 14, 12, 11
In this table, as the values in the x column increase, the values in the y column consistently decrease. For example, when x increases from 1 to 2, y decreases from 18 to 16. This pattern continues for all the rows. Therefore, this table does not show a positive correlation.
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José encontró un álbum de fotos del abuelo cuando tenía nueve años si el álbum tenía 108 páginas cuantas veces se habría es que se habría escrito la cifra nueve para enumerar todo el libro
The total number of times the digit "9" would have been written to number the entire photo album is 12 + 9 = 21 times.
To determine how many times the digit "9" would have been written to number all the pages of the photo album, we need to analyze the numbering pattern.
Since the album has 108 pages, we can observe that the numbers 1 to 9 are repeated 12 times (1-9, 10-19, 20-29, ..., 90-99) to cover the first 99 pages. Each repetition consists of ten numbers, and the digit "9" appears once in each repetition.
So, the digit "9" would have been written 12 times for the numbers 9, 19, 29, ..., 89 and 99.
However, we have an additional 9 pages to consider, which are 100, 101, 102, ..., 108. Each of these pages contains a single "9" in its numbering.
Therefore, the total number of times the digit "9" would have been written to number the entire photo album is 12 + 9 = 21 times.
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Triangle ABC has the following coordinates: A=(5,-5), B=(3,-3), C=(5,-3) What are the coordinates of triangle A'B'C' if it is created by dilating triangle ABC with the origin (0,0) as the center of dilation and with a scale factor of 3?
Answer:A' = (15, -15), B' = (9, -9), and C' = (15, -9)
Step-by-step explanation:
To dilate triangle ABC with a center of dilation at the origin (0,0) and a scale factor of 3, you need to multiply the coordinates of each vertex by the scale factor.
Let's calculate the coordinates of triangle A'B'C':
For point A:
x-coordinate of A' = scale factor * x-coordinate of A = 3 * 5 = 15
y-coordinate of A' = scale factor * y-coordinate of A = 3 * (-5) = -15
Therefore, A' = (15, -15)
For point B:
x-coordinate of B' = scale factor * x-coordinate of B = 3 * 3 = 9
y-coordinate of B' = scale factor * y-coordinate of B = 3 * (-3) = -9
Therefore, B' = (9, -9)
For point C:
x-coordinate of C' = scale factor * x-coordinate of C = 3 * 5 = 15
y-coordinate of C' = scale factor * y-coordinate of C = 3 * (-3) = -9
Therefore, C' = (15, -9)
Hence, the correct coordinates of triangle A'B'C' are A' = (15, -15), B' = (9, -9), and C' = (15, -9).
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
(a) 58 = 2(w + 5 + w)
(b) I. The width of the rectangle is 12 cm.
II. The length of the rectangle is 17 cm.
III. The area of the rectangle is 204 cm².
Let's solve the problem step by step:
(a) To write an equation for the perimeter of the rectangle, we know that the perimeter is the sum of all four sides. Let's denote the width of the rectangle as "w" (in cm). Given that the length is 5 cm more than the width, the length would be "w + 5" (in cm). The formula for the perimeter is:
Perimeter = 2(length + width)
Substituting the values, we have:
58 = 2(w + 5 + w)
Simplifying the equation, we get:
58 = 2(2w + 5)
(b) Now let's solve for the width and length of the rectangle:
I. To find the width, we solve the equation:
58 = 2(2w + 5)
Dividing both sides by 2, we get:
29 = 2w + 5
Subtracting 5 from both sides, we have:
24 = 2w
Dividing both sides by 2, we find:
w = 12 cm
Therefore, the width of the rectangle is 12 cm.
II. To find the length, we substitute the value of the width into the equation:
Length = w + 5 = 12 + 5 = 17 cm
Therefore, the length of the rectangle is 17 cm.
III. The area of the rectangle can be calculated using the formula:
Area = length × width
Substituting the values, we have:
Area = 17 cm × 12 cm = 204 cm²
Therefore, the area of the rectangle is 204 cm².
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Given ABCD, what is the measure of
145
A. 90°
B. 35°
C. 10°
D. 145°
E. 55°
F. 235°
Answer: D. 145°
Step-by-step explanation:
Since it is a parallelogram given by the symbol, then angle B is equal to angle D which is 145°.
which number best represents the slope of the graphed line?
A. -5
B. -1/5
C. 1/5
D. 5
Answer:
The slope of the graphed line is A. -5
Step-by-step explanation:
Since when we move one step in x direction, we move 5 steps downwards in y direction, so, the slope is,
m = y/x
m = -5/1
m = -5
You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 25 by 26 ft brick patio installed.
Answer:
$4929
Step-by-step explanation:
I assume the cost is proportional to the area.
15 ft × 20 ft = 300 ft²
25 ft × 26 ft = 650 ft²
650/300 = x/$2275
300x = 650 × $2275
x = $4929
Answer: $4929
2.
Harry pours 650 cubic centimeters of water into cylindrical glass with a diameter of 10
centimeters. He then pours the water from the first glass to another cylindrical glass with a
diameter of 8 cm. How much higher did the water reach in the second glass than in the first
glass? Round to the nearest tenth of a centimeter.
agures of the
Answer:
113.1 is the answer. I used the arbitory height of 4 so the volume of both are now 314.16 and 201.06
314.16-201.06=113.1
please help ?
I'm not good at this type of stuff(worth 10 points)
1. the linear equation 5(x + 7) - 3(x - 4) = 7x + 2, x = 9
2. In linear equation 4(3x + 5) - 3 = 9x - 7, x = -8
3. the linear equation 1/3(5x - 9) = 2(1/3x + 6), x = 15
What is a linear equation?A linear equation is an equation in only on variable.
1. To solve the linear equation 5(x + 7) - 3(x - 4) = 7x + 2, we proceed as follows
5(x + 7) - 3(x - 4) = 7x + 2
Expanding the brackets, we have
5x + 35 - 3x + 12 = 7x + 2
Collecting like terms in the expression, we have
5x + 35 - 3x + 12 = 7x + 2
5x - 3x - 7x = 2 - 35 - 12
-5x = -45
x = -45/-5
x = 9
2. To solve linear equation 4(3x + 5) - 3 = 9x - 7, we proceed as follows
4(3x + 5) - 3 = 9x - 7
Expanding the brackets, we have
12x + 20 - 3 = 9x - 7
Collecting like terms in the expression, we have
12x - 9x = - 7 + 3 - 20
3x = -24
x = -24/3
x = -8
3. To solve the linear equation 1/3(5x - 9) = 2(1/3x + 6), we proceed as follows
1/3(5x - 9) = 2(1/3x + 6)
Expanding the brackets, we have
5x/3 - 3 = 2/3x + 12
Collecting like terms, we have
5x/3 - 2x/3 = 12 + 3
3x/3 = 15
x = 15
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Jaxon's mother spends more than 2 hours cleaning the house. The inequality x> 2 represents the situation. Which
graph represents the inequality?
Answer:A
Step-by-step explanation:the graph shows the values that are greater than 2
.
At a meat packing plant in Green Bay, the owners want to begin a continuing education program so their 186 employees can get a college education online if they desire. The following table represents an incomplete picture of the results. Use the following two-way frequency table for the questions below:
Men Women Total
No College Credit 28 A B
Some College C D 81
College Graduate 15 22 E
Total 79 F 186
a. Fill in the missing data in the table for values A through F. Explain the strategies you used to get each answer.
b. Describe a few pieces of data in terms of joint relative frequency. Explain why these data are both joint and relative.
c. Explain a few ways we can summarize pieces of this table using conditional relative and marginal relative frequency.
d. Are the data independent or dependent? Why?
Answer:
a. To fill in the missing data in the table, we can use the information given in the table along with the fact that the total number of employees is 186.
For value A: Since the total number of employees with no college credit is 28, and the total number of men is 79, we can subtract the number of men with some college (C) and college graduates (15) from the total number of men to find the missing value A. So A = 79 - C - 15.
For value B: Since the total number of women is 186, we can subtract the number of women with some college (D) and college graduates (22) from the total number of women to find the missing value B. So B = 186 - D - 22.
For value C: Since the total number of employees with some college is 81, and we have already determined the values A and D, we can subtract A and D from the total number of employees with some college to find the missing value C. So C = 81 - A - D.
For value D: Similarly, we can subtract B and E from the total number of women to find the missing value D. So D = 186 - B - E.
For value E: Since the total number of college graduates is 37 (15 men + 22 women), we can subtract the number of college graduates among men (15) from the total to find the missing value E. So E = 37 - 15.
For value F: Since the total number of employees is 186, we can subtract the total number of men (79) from the total to find the missing value F. So F = 186 - 79.
b. Joint relative frequency refers to the proportion of individuals that fall into a particular combination of categories. For example, the joint relative frequency of men with no college credit is the number of men with no college credit divided by the total number of employees (28/186). These data are joint and relative because they represent the proportion of individuals in a specific category combination relative to the total population.
c. To summarize the data using conditional relative frequency, we can calculate the proportion of individuals in each category given a specific condition. For example, we can calculate the conditional relative frequency of women who are college graduates by dividing the number of women who are college graduates (22) by the total number of women (186). Similarly, we can calculate the conditional relative frequency of men with some college by dividing the number of men with some college (C) by the total number of men (79).
To summarize the data using marginal relative frequency, we can calculate the proportion of individuals in each category by dividing the number of individuals in that category by the total number of individuals. For example, we can calculate the marginal relative frequency of men by dividing the total number of men (79) by the total number of employees (186). Similarly, we can calculate the marginal relative frequency of college graduates by dividing the total number of college graduates (37) by the total number of employees (186).
d. The data in the table can be analyzed to determine if there is an association or relationship between the variables. If the values in the table change depending on the categories of the other variable, then the variables are dependent. In this case, the data is dependent because the number of individuals with certain educational levels (no college credit, some college, college graduate) varies based on their gender. For example, there are different proportions of men and women in each educational category, indicating a relationship between gender and education level.
Step-by-step explanation:
The missing values in the two-way frequency table are filled based on the given values and the composition of the table. The table represents joint relative frequency, which is the proportion of specific groups in the total population. We can summarize the data using marginal and conditional relative frequencies, and the data are considered dependent because an employee's education level depends on their gender.
Explanation:To fill in the missing values of the two-way frequency table, we need to use the given numbers and the rules of the two-way frequency table. Here are the strategies used for filling in the values for A through F:
A = Total number of women - Total number of women with some college and college graduate education (in this case A = F - D - 22, because we know the number of total women F and the number of women college graduates 22, but D is still unknown).B = Total number of employees - Total number of men - Total number of women (B = 186 - 79 - F).C = Total number of some college - Number of women with some college (C = 81 - D)D = Total number of some college - Number of men with some college (D = 81 - C).E = Total number of employees - Total of men and women with and without college (E = 186 - B - 81 - 37F = Total number of employees - Total number of men (F = 186 - 79).The table will also represent joint relative frequency because each cell represents the joint occurrence of two categories (gender and education level). For example, the number of male employees with no college credit (28) divided by the total number of employees (186) is a joint relative frequency.
We may summarize the table data using conditional relative frequency and marginal relative frequency. The marginal relative frequency is the total of each row or column divided by the grand total. The conditional relative frequency would be, for example, the proportion of women among those with no college credit.
The data are dependent because the education level depends on whether the employee is a man or a woman.
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GEOMETRY 30POINTS
find x to the nearest degree!
The calculated value of x to the nearest degree is 56
How to calculate x to the nearest degreeFrom the question, we have the following parameters that can be used in our computation:
The triangle
The value of x can be caluclated using the following cosine rule
So, we have
cos(x) = 5/9
Evaluate the quotient
cos(x) = 0.5556
Take the arc cos of both sides
x = 56
Hence, the value of x to the nearest degree is 56
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What is the average rate of change in f(x) on the interval [5,9]?
A)-1.5
B)6/4
C)4
D)-6
Answer:
A) -1.5
Step-by-step explanation:
We can find the average rate of change of a function over an interval using the formula:
(f(x2) - f(x1)) / (x2 - x1), where
(x2, f(x2)) is the rightmost part of the interval. In this problem, 9 is our x2 and f(x2) is 3 since 3 is the y-coordinate when you plug in 9 for f(x))(x1, f(x1)) is the leftmost part of the interval of the interval.In this case, 5 is our x1 and f(x1) is 9 since 9 is the y-coordinate when you plug in 5 for f(x).Thus, we can plug in (9, 3) for (x2, f(x2)) and (5, 9) for (x1, f(x1)) to find the average rate of change in f(x) on the interval [5,9].
(3 - 9) / (9 - 5)
(-6) / (4)
-3/2
is -3/2.
If we convert -3/2 into a normal number, we get -1.5
Thus, the average rate of change in f(x) on the interval [5,9] is -1.5
Answer:
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\boxed{\textsf{Average rate of change}=\dfrac{f(b)-f(a)}{b-a}}[/tex]
In this case, we need to find the average rate of change on the interval [5, 9], so a = 5 and b = 9.
From inspection of the given graph:
f(5) = 9f(9) = 3Substitute the values into the formula:
[tex]\textsf{Average rate of change}=\dfrac{f(9)-f(5)}{9-5}=\dfrac{3-9}{9-5}=\dfrac{-6}{4}=-1.5[/tex]
Therefore, the average rate of change of f(x) over the interval [5, 9] is -1.5.
Help I’m lost somebody please help me
Answer:
l
Step-by-step explanation:
advanced functions
solve 4(8-2x)=256
Answer:x=-28
Step-by-step explanation:
Distribute the 4 on the left side of the equation:
32 - 8x = 256
Move the constant term to the right side of the equation:
-8x = 256 - 32
-8x = 224
Divide both sides of the equation by -8 to isolate x:
x = 224 / -8
x = -28
Corelise has 3 wooden bookcases that contain all of her books. The first bookcase has 3 shelves with 22 books on each shelf. The second bookcase has 4 shelves with 18 books on each shelf. The third bookcase has 5 shelves with 17 books on each shelf.
Part A
Write an expression for how many books she has.
A.
(
3
×
22
)
+
(
4
×
18
)
+
(
5
×
17
)
B.
(
3
+
22
)
×
(
4
+
18
)
×
(
5
+
17
)
C.
(
3
+
22
)
+
(
4
+
18
)
+
(
5
+
17
)
D.
(
3
×
22
)
+
(
4
+
18
)
+
(
5
×
17
)
Part B
Stephan has 230 books. Does Corelise have more than Stephan?
Yes or no
, she has
2,7,13,23
more or fewer
than Stephan.
Answer:
A
Step-by-step explanation:
3x16
+
4x18
+
5x17
PLEASE HELP
4920+56+pi
QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
Learn more about miles-to-yards conversion here:
https://brainly.com/question/1609225
#SPJ1
PLEASE HELP! EXPLAIN THOROUGHLY EACH QUESTION SHOULD BE ANSWERED IN A 2 SENTENCE EXPLINATION AND I WILL MARK IT BRAINLIEST!
7.
This figure shows a quadrilateral made of triangle ABF
and triangle DEC
.
a. What does it mean for triangles to be congruent?
b. Jane is told that angle A
is congruent to angle D
and angle B
is congruent to angle E
She concludes that the triangles are congruent because of AAA. Explain why she thinks this, and whether or not you think she is right.
c. George is told the same thing as Jane, but he concludes that the triangles are congruent because of ASA. Explain why he thinks this, and whether or not you think he is right.
d. Are there any other ways the two triangles could be congruent with the information Jane and George have been given? Explain why you think this.
The required answers of the given questions are answered below.
a), b), c), d)
What is quadrilateral?A quadrilateral is geometric structure enclosed in 4 sides.
A) Because,
1) the angle A = Angle D
2) its has a common side
3) the angle D = Angle B
∵ ΔEAB ≅ EDC
Thus, Both the triangle is congruent by ASA.
B.)
Jane conclusion is also write for AAA
because by angle E is congruent to angle B, implies angle F is congruent to angle C.
So that is why Jane conclude AAA.
C.) George conclusion is also perfect
George thinks the following conditions-
1) the angle A = Angle D
2) its has a common side
3) the angle D = Angle B
∵ ΔEAB ≅ EDC
Thus, Both the triangle is congruent.
Hence, Both the triangles are congruent by SSS.
Learn more about the quadrilateral at:
https://brainly.com/question/29934440