Answer:
[tex]\text{D) }1.5\text{ feet}\\[/tex]
Step-by-step explanation:
We can use proportionality to solve this.
The height of the tree can act as the height of a right angled triangle, where the shadow is the base. The angle between the end of the shadow and the top of the object will be the same as the sun will shine from the same relative angle in the sky.
Therefore :
[tex]\frac{\text{Height of tree}}{\text{Height of person}}=\text{Scale factor}=\frac{\text{Length of tree's shadow}}{\text{Length of person's shadow}}[/tex]
[tex]\frac{40}{5}=8\\\frac{12}{x}=8\\\text{Where x is the length of the person's shadow}\\12=8x\\x=1.5[/tex]
[tex]\frac{12}{x}=8[/tex]
Find the volume of a pyramid with a square base, where the side length of the base is
4.8 cm and the height of the pyramid is 4.6 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Express the radical using the imaginary unit, i
Express your answer in simplified form.
tv-49 =
Answer:
7i.
Step-by-step explanation:
Note : The given expression must be [tex]\sqrt{-49}[/tex].
We have to write this radical value in the imaginary value.
The given value can be rewritten as
[tex]\sqrt{-49}=\sqrt{49\times (-1)}[/tex]
[tex]\sqrt{-49}=\sqrt{49}\times \sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\sqrt{-49}=7\times i[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{-49}=7i[/tex]
Therefore, the required expression is 7i.
[PLEASE ANSWER BOTH QUESTIONS] The following data points represent the number of quesadillas each person at Toby's Tacos ate. Sort the data from least to greatest. Find the interquartile range (IQR) of the data set.
Answer:
Part 1: Already solved.
Part 2: 1 quesadilla.
Step-by-step explanation:
Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.
The data are already sorted from least to greatest.
Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.
There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.
Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.
Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.
Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.
So, your interquartile range is 1 quesadilla.
Hope this helps!
Answer:
1
Step-by-step explanation:
On khan
Jackie exchanges 8 Kappa coins for 3 Gamma coins. Lana wants to exchange
32 Kappa coins. How many Gamma coins will she receive?
O 7
O 11
O12
O 40
Answer:
12
Step-by-step explanation:
8/3=2.66666666667
1 kappa coin=2.66666666667 gamma coins
32/2.66666666667=12
Answer:
12 gamma coins
Step-by-step explanation:
We can use a ratio to solve
8 kappa 32 kappa
------------------ = ----------------
3 gamma x gamma
Using cross products
8x = 3*32
Divide each side by 8
8x/8 = 32 *3/ 8
x = 32/8 *3
x = 12 coins
Which theorem can you use to prove that AEB is congruent to CED?
A. SSS
B. ASA
C. AAS
D. SAS
Answer:
C. AAS
Step-by-step explanation:
Since we are given two angles and one side, that limits our options to B or C. It can't be B, because ASA is only when the side given is in between the two angles, so it must be C.
Answer:
C
Step-by-step explanation:
PLaseeee heeeeelpoppppppppppppppppppppppppppppppp
Answer:
2) b-1
3) 2c
4) d+1
5) e-3
6) f/2
7) 4×g
8) 3×h
9) 3÷i
10) j+4
11) 2k+1
12) 2l-2
13) m/2+3
Sam, John, Matt, and Bob are going to drive to Florida. It is a 8 1/4 hour drive. Sam drove 1 1/3 hours. John drove 1 5/6 hours. Matt drove twice as long as John. How many hours did Bob drive if he drove the remaining time?
Answer:
Step-by-step explanation:?
Step-by-step explanation:
total hours = 8 1/4= 33/4
Sam = 1 1/3 = 4/3
john=1 5/6 =11/6
matt= twice as long as john= 2(1 5/6)= 11/3
Bob= x
4/3+11/6+11/3 + x =33/4
11+22+8/6 + x =33/4
41/6 + x =33/4
x = 33/4 - 41/6
x= 99-82/12
x=17/12
x =1 5/12
therefore Bob drove 1 5/12.
In the sequence 2001, 2002, 2003, ... , each term after the third is found by subtracting the previous term from the sum of the two terms that precede that term. For example, the fourth term is 2001+2002−2003=2000. What is the 2004th term in this sequence?
Answer:
The answer is 0.
Step-by-step explanation:
Let's call the answer a.
We want to find a(2004)
That's an even term. We look at the even terms:
2 2002
4 2000
6 1998
8 1996
10 1994
12 1992
We see that the pattern for the even terms is
"if you add n and a(n), the sum is always 2004."
That is n + a(n) = 2004, or,
a(n) = 2004-n when n is even
So when n = 2004, a(2004) = 2004-2004 = 0
Answer: 0
a simple closed figure formed by three or more segement is called a
Answer:
Step-by-A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. step explanation:
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A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent
Answer:
Polygon
Step-by-step explanation:
a simple closed figure formed by three or more segement is called a Polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent.
Hope this helps!
Please help me find volume of prism
Answer:
216 yds
Step-by-step explanation:
Each are multiplied together by length, width, and height. 6 x 6 x 6 equals 216. So your answer is 216 yards.
Answer:
216 [tex]yd^3[/tex]
Step-by-step explanation:
Recall the formula for the volume of a prism:
[tex]Vol=W\,*\,D\,*\,H[/tex]
where W represents the prism's width, D its depth, and H its height.
In your case the prim is in fact a cube because the three dimensions above are equal (all of them are 6 yards)
Then the volume of this prism is:
[tex]Vol=W\,*\,D\,*\,H\\Vol= 6\,yd\,*\,6\,yd\,\,*\,6\,yd\,\\Vol= 216\,\,yd^3[/tex]
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x solve for g(-2)
When x=-2, g=0
Step-by-step explanation:
(-2)^2=4, then add 2(-2)=-4 to this, getting 0
On February 2nd, Jordan is going on a class trip to Washington D.C. He is saving his weekly allowance to use as
spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week, and he records
the total amount of money he has saved in the table below.
Week
January 4 January 11 January 18 January 25 February 1
Total $ Saved
$86
$94
$102
With only two weeks left before the trip, Jordan wants to predict how much money he will have to bring on the trip. What
is the total amount of money that Jordan will have saved on February 1st?
$106
$110
$116
$118
Answer:
$118
Step-by-step explanation:
The amount Jordan will have on 1st of the February is $118
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given that, On February 2nd, Jordan is going on a class trip to Washington, D.C. He is saving his weekly allowance to use as spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week,
The saving are
In 1st week = $86
In 2nd week = $94
Therefore, we can consider the coordinates as (1, 86) or (2, 94)
We know that, standard equation of a line = y = mx+c
Where, m is the slope,
We have here slope = 8
Finding for c, put x = 1 and y = 86
c = 78
Now finding the amount for 5 weeks, that means x = 5
y = 5x8+78
y = 118
Hence, The amount Jordan will have on 1st of the February is $118
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The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number
Answer:
Step-by-step explanation:
If the smallest number is 'x', then the other number = x +1
x*(x+1)= 420
Use distributive property
x*x + x*1 = 420
x² + x - 420 =0 ------> this is the required quadratic equation.
How should you solve the equation x divided by 15 equals 60? What is the resulting equivalent equation? Choose the correct answer below. A. Divide each side by 15. Then simplify. B. Divide each side by 60. Then simplify. C. Multiply each side by 15. Then simplify. D. Multiply each side by x. Then simplify. E. Divide each side by x. Then simplify. F. Multiply each side by 60. Then simplify. The resulting equivalent equation is x=
Answer:
C; x = 900
Step-by-step explanation:
1. Write out the problem: x/15 = 60
2. Multiply each side by 15 to solve for x. This is because of inverse operations, so if you divide x by 15 you have to multiply 15 to both sides. THis way the 15 cancels out in 15(x/15).
3. Equation then becomes this: x = 15*60
4. Answer: 900
5. Substitute to see if you were right. Ask yourself: Does 900 divided by 15 equal 60. If it does, then you are correct.
Three consecutive odd integers have a sum of 45. Find the integers.
Answer:
13, 15, 17
Step-by-step explanation:
Each digit must be odd, and to get consecutive odd integers, you must add using the multiple of 2:
Let the least number be "x". Set the equation:
(x) + (x + 2) + (x + 4) = 45
Isolate the variable, x. First, combine like terms:
(x + x + x) + (2 + 4) = 45
(3x) + 6 = 45
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 6 from both sides:
3x + 6 (-6) = 45 (-6)
3x = 45 - 6
3x = 39
Divide 3 from both sides:
(3x)/3 = (39)/3
x = 39/3
x = 13
Your first number (x) is 13. Solve for the other 2 numbers:
(x) = 13
(x + 2) = 13 + 2 = 15
(x + 4) = 13 + 4 = 17
13, 15, 17 are your numbers:
Check:
13 + 15 + 17 = (13 + 15) + 17 = 28 + 17 = 45
~
Definition: A set of points that form a line are called a ___ pattern.
Answer:
linear
Step-by-step explanation:
linear pattern
Answer:
a linear pattern
Step-by-step explanation:
Evaluate x^1-x^-1+ x^º for x= 2.
Answer:
5/2
Step-by-step explanation:
Step 1: Plug in x
2¹ - 2^-1 + 2⁰
Step 2: Evaluate
2 - 1/2 + 1
3/2 + 1
5/2
Answer:
[tex]\boxed{\frac{5}{2} }[/tex]
Step-by-step explanation:
=> [tex]x - x^{-1} + x^0[/tex]
Rule of exponents [tex]x^0 = 1[/tex]
For x = 2
=> 2 - [tex](2)^{-1}[/tex] + 1
=> 5 / 2
=> [tex]\frac{5}{2}[/tex]
The endpoints of CD¯¯¯¯¯¯¯¯ are C(−8,−6) and D(−4, 10). The coordinates of the midpoint M of CD¯¯¯¯¯¯¯¯ are ( , ).
Answer:
m(-6,2)
Step-by-step explanation:
m=(-8+-4/2,-6+10/2)
=(-12/2,4/2)
=(-6,2)
The coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).
What is midpoint?For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.
The formula to find the midpoint using the coordinates of the line is,
[tex]m=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Here, (x1,y1) and (x2,y2) are the coordinates of the endpoints of the line.
The endpoints of CD are C(−8,−6) and D(−4, 10). To find the coordinates of the midpoint M, put the values in the above formula as,
[tex]m=\left(\dfrac{-8+(-4)}{2},\dfrac{-6+10}{2}\right)\\m=\left(\dfrac{-12}{2},\dfrac{4}{2}\right)\\m=\left(-6,2)[/tex]
Thus, the coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).
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pls help me with my homework
Answer:
Any number larger than 10 units (in my example, 30 units)
Step-by-step explanation:
A scaled copy of a shape means that all the angles are the same and that it is basically the same shape that has been made bigger or smaller but still with the same proportions.
Note: If the scale factor is greater than 1, it means that Iria's scaled copy will be larger than this triangle.
Step 1.
Choose any number larger than 1 (as we aren't given the actual number she chose). To make things easy, I will choose the number 3 as it's a small number and it's a whole number (not a fraction or decimal).
Step 2.
Take the number you chose before (in my case, 3) and multiply it with the base length of the triangle in the diagram.
10 x 3 = 30 units
Note: Since the scale factor could be any number larger than 1, the base length can be any number larger than 10.
I hope this helps! :)
Bluey
The sum of two numbers is 264. One number ends with a zero. If this zero is erased, you get the second number. Find these numbers.
Answer:
240 is the number with a zero and 24 is the number with no zero
Step-by-step explanation:
240 + 24 equals 264 . 240 has a zero take away the zero and you get the second number
Which sum or difference is modeled by the algebra tiles?
Answer:
option 4
Step-by-step explanation:
(2x - 3) - (-3x + 4)
= 2x - 3 +3x - 4 {remove parenthesis by bringing in th (-) sign}
= 2x + 3x - 3 - 4 {add the like term}
= 5x - 7
An experiment is to be conducted using environmentally safe peppermint oil to study the effectiveness of deterring mice from infesting dwellings. In one
dwelling, the peppermint oil will be dispersed via essential oil diffuser; in the other dwelling it will be placed on areas where mice could enter the dwelling. The
researchers will determine the adverse reactions of the mice to the peppermint oil by counting the number of mice in each dwelling after one week. There are
20 mice available for the experiment, and the researchers will use 10 mice for each dwelling. For this experiment, identify the treatments, experimental unit, and response variable.
Treatments: how the peppermint oil is dispersed
Experimental unit: number of mice in the dwellings
Response variable: mice
Treatments: number of mice in the dwellings
Experimental unit: mice
Response variable: how the peppermint oil is dispersed
Treatments: mice
Experimental unit: how the peppermint oil is dispersed
Response variable: number of mice in the dwellings
Treatments: mice
Experimental unit: number of mice in the dwellings
Response variable: how the peppermint oil is dispersed
Treatments: how the peppermint oil is dispersed
Experimental unit: mice
Response variable: number of mice in the dwellings
Answer:
Option E is correct.
- Treatments: how the peppermint oil is dispersed
- Experimental unit: mice
- Response variable: number of mice in the dwellings
Step-by-step explanation:
The treatments in this type of statistical experiment refers to the part of the experiment that is tweaked, controlled or varied in the cases being studied. In this experiment, the method of essential oil dispersal is what is varied in the two experimental cases of this study.
Experimental Unit refers to the subject matters, who are participants in the experiment. They are the ones that the effect of the treatments is tested upon.
For this study, the experimental units are the mice subjected to either of the two methods of peppermint oil dispersal.
The response variable is how the experimental units (participants) respond to the treatments (experimental tweaks). Or how the tweaks manifest observable results in the participants of the study. For this study, the effect of the tweaks in the mice is shown in the number of mice that remain in each dwelling (where the two methods of peppermint oil dispersal have been implemented). Hence, the response variable is the number of mice in each dwelling.
Hope this Helps!!!
Find the surface area
Answer:
143 yards squared.
Step-by-step explanation:
According to the diagram, there are 6 sides: two trapezoids, and 4 rectangles.
To find the area of a trapezoid, you need to calculate using the formula shown below.
The height of each trapezoid is 3.5 yards. The b1 of each trapezoid is 3 yards. The b2 of each trapezoid is 7 yards.
So, the area of a single trapezoid is [3.5(3 + 7)] / 2 = (3.5 * 10) / 2 = 35 / 2 = 17.5 yards squared.
The area of two trapezoids will be 17.5 * 2 = 35 yards squared.
To find the area of a rectangle, do base times height.
There are, apparently, three types of rectangles in the diagram. All four rectangles have a width of 6 yards. One rectangle has a length of 3 yards, two rectangles have lengths of 4 yards, and one rectangle has a length of 7 yards.
So, the total areas of the rectangles are: (3 * 6) + 2(4 * 6) + (7 * 6) = 18 + 2 * 24 + 42 = 18 + 48 + 42 = 108 yards squared.
So, the total surface area of the figure is 35 + 108 = 143 yards squared.
Hope this helps!
DeShawn and Pranav each improved their yards by planting daylilies and shrubs. They bough
their supplies from the same store. DeShawn spent $143 on 9 daylilies and 4 shrubs. Pranav
spent $198 on 14 daylilies and 4 shrubs. Find the cost of one daylily and the cost of one shrub
Answer:
Daylilies cost $11 and shrubs cost $11
Step-by-step explanation:
Let's call the cost of daylilies as x and the cost of shrubs as y. We can write:
9x + 4y = 143 -- Equation 1
14x + 4y = 198 -- Equation 2
5x = 55 -- Subtract Equation 1 from Equation 2
x = 11 -- Divide by 5
9 * 11 + 4y = 143 -- Substitute x = 11 into Equation 1
4y = 44 -- Subtract 99
y = 11 -- Divide by 4
How many molecules are in4 moles of HCl?
Answer:
8
Step-by-step explanation:
4(HCL)
H=1 mol,CL=1 mol
4(1+1)
4(2)
4x2=8molecules
HELP ASAPPPPP!
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?
18
20
21
37
(p.s if its easy im in 5th grade dont judge)
Answer:
can you please make the question more clear!
Step-by-step explanation:
i am guessing you are asking if 1/ (2·2) (3+(3.4·5))=
1/ 4+17+3
1/24?
Identify the range of the function shown in the graph.
Answer:
C.
Step-by-step explanation:
Range is the y-values. Since our max and min for y-values is 5 and -5, respectively, our answer is C.
Which degrees is the answer
Answer:
75°
Step-by-step explanation:
Since the 2 angles are supplementary and TC is a perpendicular bisector, we know that m∠ATC is 90°
All we need to do is simply subtract 15° from 90° to find m∠ATB:
90 - 15 = 75°
Answer:
75°Solution,
Let m<ATB be X
[tex]x + 15 + 90 = 180[/tex]
(sum of angle in straight line)
[tex]x + 105 = 180[/tex]
subtract 105 on both sides
[tex]x + 105 - 105 = 180 - 105 \\ x = 180 - 105 \\ x = 75[/tex]
Hope this helps ...
Good luck on your assignment..
What is true about the given function?
Answer:
C
f(x) < 0 over the interval - infinity to + 3
Step-by-step explanation
My last answer was wrong
The base of a shipping drum is in the shape of a circle with a diameter of 26 inches. Which of the following is closest to the circumference of the base of the shipping drum? (Use 3.14 for π .)
Answer:
Circumference = 81.64 inches
Please choose the closest out of the provided choices or post them if necessary.
Step-by-step explanation:
Circumference = diameter * pi
= 26 * 3.14
= 81.64