Answers
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!
Related Questions
The endpoints of CD¯¯¯¯¯¯¯¯ are C(−8,−6) and D(−4, 10). The coordinates of the midpoint M of CD¯¯¯¯¯¯¯¯ are ( , ).
Answers
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).
Learn more about midpoint here:
https://brainly.com/question/5566419
#SPJ2
Evaluate x^1-x^-1+ x^º for x= 2.
Answers
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]
HELP. Analyze the diagram below and complete the instructions that follow. Find the exact value of tan 0.
Answers
Answer:
Using SohCahToa we know it will be opposite over adjacent, opposite being the side across from theta and adjacent being the side next to theta, Using Toa we know it will be opposite over adjacent so the answer will be 6/2sqrt5
If they wants you to simplify more than you cant have a sqrt on the bottom so to fix this you will multiply the top and bottom by sqrt5 leaving you with 6sqrt5/ 2*5 or 6sqrt5/15
hope this helped
Answer:
C. 3^5/5
Step-by-step explanation:
A mother is 30 years older than her son. Fifteen years ago the son was 1/3 of
his mother's age. How old is each now?
Answers
Answer: The son is 30 and the mother is 60
Step-by-step explanation:
Mother's age = m
Son's age = s
m = s + 30
m-15 = 3(s - 15)
m - 15 = 3s - 45
m = 3s - 30
(Substitution)
s + 30 = 3s - 30
2s = 60
s = 30
m = 60
Hope it helps <3
Trick question---
Just kidding I think that 15 years ago his mother was 45
he was 15 and now he is 30 and she is 60.
literally sat here thinking that 30 is ruled out, and 60 would be 20 but then she'd be too old, suddenly it clicked, if you said he'd be half her age now, it'd be to easy, because half her age now would be 30 and it'd give the answer straight away.
You or your teacher has a big percentage of the brain used. I respect.
give your answer as a mixed number
4 3/7 - 2 5/7
get brainliest urgent plz help
Answers
Answer:
[tex]1\frac{5}{7}[/tex]
Step-by-step explanation:
[tex]4\frac{3}{7} -2\frac{5}{7}[/tex]
Step 1. Simplify left side 4*7+3 , Right Side 2*7+5
[tex]=\frac{31}{7} -\frac{19}{7} = \frac{12}{7}[/tex]
Step 2. Re-write 12/7 as mixed number
[tex]\frac{12}{7} = 1\frac{5}{7}[/tex]
FIND THE MISSING LENGTH INDICATED
Answers
Answer:
25 units.
Step-by-step explanation:
The first thing we need to do is find the hypotenuse of the triangle with side lengths 12 and 16. 12^2 + 16^2 = 144 + 256 = 400. sqrt(400) = 20. So, the hypotenuse of that triangle is 20 units.
Because the smaller length of the smaller triangle bisects the largest triangle's right angle, the two triangles are similar, with the side length 12 corresponding to the smaller side length of the larger triangle, the side length 16 corresponding to the 20 unit side, and the 20 unit hypotenuse corresponding to x.
Now that we know the triangles are similar, we can construct a proportion...
[tex]\frac{16}{20} =\frac{20}{x}[/tex]
That means that 4/5 = 20/x
1/5 = 5/x
x = 25
Hope this helps!
20 poinst please help i will mark u brainlestToday when Jeremy saw Mr. Winaki, the teacher said, “The amount of money in my wallet is more than $10, but less than $20. How much do I have?” Jeremy remembers talking about inequalities in math class and thinks that the answer may have something to do with that idea. In the Math Toolbox, we helped Jeremy solve Mr. Winaki ’s riddle. Now, Jeremy needs help in writing a brainteaser to stump Mr. Winaki. Your original riddle needs to be a real world problem that has an answer of more than 19 and less than 41. 1. Brainstorm Think about possible real world situations that might have an answer of more than 19 and less than 41. List three ideas for your original riddle.. Thesaurus Select three important words from the ideas you listed above. Use a thesaurus to look up synonyms of the words. Remember, Mr. Winaki is an English teacher. He will like your use of interesting new words. Record your findings in the chart below. 3. Select an idea From your list of ideas, select one about which to write a riddle. Remember, your riddle should have an answer of more than 19 and less than 41. Use one of the synonyms you found to make your writing more exciting. 4. Provide a possible answer In the Math Toolbox section of our lesson, we chose a possible solution to Mr. Winaki’s riddle. Choose a possible number that answers your riddle. 5. Writing Inequalities a. Write an inequality comparing it to 19. b. Choose the same value as a possible solution and write an inequality comparing it to 41. c. Write an inequality that shows the relationship between all three numbers? d. Represent the inequality algebraically.
Answers
Answer:
Given that “The amount of money in my wallet is more than $10, but less than $20 " can be written in inequality form as
10 < w < 20 where " w" is the amount in the wallet .
1 ) Puzzle : -
Ryan is eating cookies . His mother ask how many cookies did he have .
He said number of cookies he ate is more than 19 and less than 41 .
We can write it in equality form as 19 < x < 41 where ' x ' is number of cookies Ryan have .
2) Puzzle :-
Number of steps a child take in an hour is more than 19 and less than 41 .
Write the situation in inequality form .
19 < p < 41 where " p " is the number of steps a child take in an hour .
3) Puzzle :-
Mother said to his child : " the number of coins in your piggy bank is more than 19 and less than 41 .
19 < c < 41 where " c " is number of coins in piggy bank .
Step-by-step explanation:
which is not an equation of the line going through (3, -6) and (1,2)
Answers
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.
Answers
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
Find the common difference for the sequence shown.
56, 49, 42, 35, ...
0-12
0-7
07
Answers
To find the common difference, subtract all the numbers in order.
56 - 49 = 7
49 - 42 = 7
42 - 35 = 7
Therefore, common difference is 7.
Best of Luck!
Answer:
The answer is -7
(got this answer right on the lesson)
Step-by-step explanation:
Dan must choose a shirt, a pair of pants, and a cap for today's outfit. He has 2 shirts, 2 pairs of pants, and 3 caps to choose from. How many different outfits can he make?
Answers
Answer:
12 different outfits
Step-by-step explanation:
2 x 2 x 3 = 12 outfits.
Answer:
12
Step-by-step explanation:
He has 2 possibilities for a shirt, 2 possibilities for a pant, and 3 possibilities for a cap. You just multiply them together:
2 * 2 * 3 = 12 outfits
Write the functions by the graphs
F(x)=
G(x)=
H(x)=
Answers
Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Step-by-step explanation:
All the functions graphed represent the absolute value functions.
Since function g(x) passes through (0, 0) and (1, 1),
Let the equation of a line passing through these points is,
y = mx + b
Slope of the line passing through these points 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1-0}{1-0}[/tex]
m = 1
y-intercept of the line 'b' = 0
Therefore, equation of the line will be,
y = x
And the function representing the two lines (both are the mirror images) joining at the origin will be,
f(x) = |x|
When the parent function is shifted 3 units up, the new function will be
h(x) = |x| + 3
When the parent function is shifted 2 units down,
g(x) = |x| - 2
Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y - 5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that
represents Angelo's second cut.
Answers
Answer:
The correct option is A
A) y = (1/5)x + 6
Step-by-step explanation:
The equation of the first cut shown in the graph is:
y = (1/5)x - 1
We know that a general form of linear equation is given as:
y = mx + c
Comparing both equations, we get that the slope m = 1/5
As the second cut is parallel to the first cut, it will have the same slope, that is m = 1/5
Substitute it in the general linear equation
y = mx + c
y = (1/5)x + c
We know that this equation passes through the point (0,6), substitute it in the above equation>
6 = (1/5)(0) + c
c = 6
The equation for second cut be found by using m = 1/5 and c = 6
y = mx + c
y = (1/5)x + 6
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)
Answers
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?
In △EKL, m∠K = 90º, m∠E = 25º, EK = 3 cm, KH - altitude. Find EH.
Answers
Answer:
EH = 3.31
Step-by-step explanation:
We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.
Where,
EK = Base = 3
KH = perpendicular altitude
EH = Hypotenuse
m<K = 90
m<E = 25
We know that
cosθ = Base/ Hypotenuse
cos 25 = 3/ EH
EH = 3/cos25
EH = 3.31
Perpendicular alitutude can also be calculated by using the formula for tanθ.
On two investments totaling $13,500, Peter lost 3% on one and earned 5 % on the other. If his net annual receipts were $319, how much was each investment?
Answers
y = amount of 5% gain investment
x + y = 13,500 {the two investments total $13,500}
-0.03x + 0.05y = 319 {3% loss on one and 5% gain on other, receipt is $319}
x = -y + 13,500 {subtracted y from each side of first equation}
-0.03(-y + 13,500) + 0.05y = 319 {substituted (-y + 13,500), in for x, into second equation}
0.03y - 405 + 0.05 = 319 {used distributive property}
0.08y - 405 = 319 {combined like terms}
0.08y = 724 {added 405 to each side}
y = 9050 {divided by 0.08}
x = -y + 13,500 {from equation above}
x = -9050 + 13,500 {substituted 9050 in for y}
x = 4450 {added}
The 3% loss investment was $4450
The 5% gain investment was $9050
Sara wanted to gather data about the cost of local gyms in her area. She plotted the data and determined that the average gym costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 10x + 30. Identify and interpret the y-intercept in this model.
Answers
Answer:
y-intercept is 30
Step-by-step explanation:
Given the model [tex]y = 10x + 30.[/tex] comparing this model to the equation of a straight lines we can get the y- intercept
[tex]y = 10x + 30\\\y= mx+c[/tex]
The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.
The y-intercept in this model for the average gym costs is 30.
What is the y-intercept?In a linear equation, the y-intercept can be interpreted as the constant. It is the value that does not change with the number of months a person goes to the gym. The y-intercept can also be referred to as the fixed cost. In this question, the y-intercept is 30.
To learn more about y-intercept, please check: https://brainly.com/question/14180189
#SPJ9
A parachutist's rate during a free fall reaches 198 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 5 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Answers
Answer:
300 feet
Step-by-step explanation:
If we were using feet the expression would be 198x, where x is feet per second
Since they are asking in meters we need to convert feet to meters
When you do that you get 60
Now the expression is 60x
When you plug 5 into the equation it is 300
plzzzzz answer this question about density mass and volume!!!!!!!!!
Answers
Answer:
13.896 kg
Step-by-step explanation:
You can find the mass of the bar by first finding the volume.
V = BH
where B = area of the base (the trapezium), and
H = height (distance trapezium between bases)
The area of a trapezium is
A = (b1 + b2)h/2
where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and
h = the altitude of the trapezium (distance between the bases of the trapezium)
V = (b1 + b2)h/2 * H
V = (12 cm + 6 cm)(5 cm)/2 * 16 cm
V = 720 cm^3
The volume of the bar is 720 cm^3.
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 19.3 g/cm^3 * 720 cm^3
mass = 13,896 g
Now we convert grams into kilograms.
1 kg = 1000 g
mass = 13,896 g * (1 kg)/(1000 g)
mass = 13.896 kg
Answer: 1.3896 kg
x^2 + 20x + 28 = 9 find the graphing/vertex form
Answers
Answer: [tex](x+10)^2+119=0[/tex]
Step-by-step explanation:
For a quadratic equation, the vertex form is given by : [tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.
The given quadratic equation: [tex]x^2 + 20x + 28 = 9[/tex]
Subtract 9 from both sides
[tex]=x^2+20x+19=0[/tex]
compare this to [tex]x^2+bx=c[/tex], and add [tex](\frac{b}{2})^2[/tex] both sides
b= 20
[tex]x^2+20+100+19=-100[/tex] [(b/2)²=20/2=10]
[tex]\Rightarrow\ x^2+2(x)(10)+10^2+119=0[/tex]
[tex]\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab][/tex]
So, the vertex form : [tex](x+10)^2+119=0[/tex]
During the recent recession, Bob's home value dropped to only $175,000. Since then the economy has turned around and the market is improving at a rate of 4.5% annually. At this rate, how much will Bob's home be worth 12 years after the market started improving? And what equation did you use?
Answers
Answer:
Bob's home will worth $296,779.25 after 12 years.
Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]
Step-by-step explanation:
Current value of Bob's house =[tex]FV = $175,000( 1 + 4.5/100)^12\\FV = $175,000( (100+ 4.5)/100)^12\\FV = $175,000( (104.5)/100)^12\\FV = $296,779.25[/tex]
market is improving at 4.5% annually.
This, means that the value of house gets appreciated by 4.5% each year from its previous year value.
This is a problem of compound interest formula
[tex]FV = PV(1+r/100)^n[/tex]
where PV is the present value of any thing
FV is the future value
r is the annual rate of interest
t is the time in number of year for which rate is applicable.
_____________________________________
Given
PV = $175,000.
r = 4.5%
t = 12 years
Value after 12 year will be given by
[tex]FV = $175,000( 1 + 4.5/100)^(12)\\FV = $175,000( (100+ 4.5)/100)^(12)\\FV = $175,000( (104.5)/100)^(12)\\FV = $296,779.25[/tex]
Thus, Bob's home will worth $296,779.25 after 12 years.
Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]
A recent survey found that 65% of high school students were currently enrolled in a math class,43% were currently enrolled in a science class,and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?
Answers
Answer: 0.20
Step-by-step explanation:
As per given :
P(student enrolled in a math class ) = 65% = 0.65
P( student enrolled in a science class) = 43%= 0.43
P( student enrolled in both ) = 13% = 0.13
Formula of conditional probability :
[tex]P(A|B)=\dfrac{P(A\text{ and }B)}{P(B)}[/tex]
Using the above formula,
The probability that the student is enrolled in a science class given that he is enrolled in maths class :
[tex]P(\text{science}|\text{math})=\dfrac{P(\text{science and maths})}{P(\text{math})}\\\\=\dfrac{0.13}{0.65}\\\\=\dfrac{13}{65}\\\\=\dfrac{1}{5}=0.20[/tex]
Hence, the probability that the student is also enrolled in a science class = 0.20 .
What is the surface area of a sphere with a radius of 11 units?
A. 13317 units2
B. 3637 units2
C. 7267 units2
D. 48470 units2
Answers
Answer:
Step-by-step explanation:
The surface area of a sphere with radius r is given by
S = 4 pi r^2
for a radius of 11 units,
S = 4 pi 11^2 = 484 pi = 1520.5 sq. units
This does not correspond to any of the answers.
Please check question.
Answer:
484[tex]\pi[/tex]
Step-by-step explanation:
Surface Area of Sphere Formula: 4[tex]\pi[/tex]r[tex]r^{2}[/tex]
When you plug it in it is 4[tex]\pi[/tex][tex]11^2[/tex]
Then you would get 484[tex]\pi[/tex]
PLEASE HELP WITH THIS(INORDER FOR ME TO GIVE YOU A BRIANLIST,EXPLAIN HOW U GOT IT)(will give brainlist and thanks)(Find the perimeter)
Answers
Answer:
13x+10
Step-by-step explanation:
Answer:
7x+10 cm
Step-by-step explanation:
To find the perimeter add up all the sides
There are 5 sides
3x+5+2x+2x+5
Combine like terms
3x+2x+2x +5+5
7x+10
The perimeter is 7x+10
The functions f(x) and g(x) are shown on the graph.
Rx) = x²
What is g(x)?
Answers
Therefore f(x) = - x^2 (NOT IN PARENTHESIS that would be a reflection on the y axis)
It’s a shift 4 y values down therefore
g(x) = - x^2 - 4
A hobbyist is making a toy sailboat. For the triangular sail, she wants the height h (in inches)
to be twice the length of the base b (in inches). Can the area of the sail be 10 inº?

Answers
Answer:
xx
Step-by-step explanation:
PLEASE HELP!
What is the distance from Z= (16,−15) to the x-axis?
Answers
Answer:
15 units
Step-by-step explanation:
Distance from the x-axis is measured vertically, so you would look at the second number of the coordinates, the y value. Point Z is 15 units below the x-axis.
Hence, the distance from [tex]Z= (16,-15)[/tex] to the x-axis is [tex]15[/tex] units.
What is the axis?
An axis in mathematics is defined as a line that is used to make or mark measurements.
Here given that,
[tex]Z= (16,-15)[/tex] which is on the x-axis.
So,
The shortest distance between the coordinate [tex](16,-15)[/tex] and [tex](16,15)[/tex].
Now, applying the distance formula
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here,
[tex](x_1,y_1)=(16,0)\\(x_2,y_2)=(16,-15)[/tex]
Substituting these values in the formula
[tex]d=\sqrt{(16-16)^2+(-15-0)^2}\\\\d=\sqrt{(0)^2+(-15)^2}\\\\d=\sqrt{0+225}\\\\d=15[/tex]
Hence, the distance from [tex]Z= (16,-15)[/tex] to the x-axis is [tex]15[/tex] units.
To know more about the axis
https://brainly.com/question/15125047
#SPJ2
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=
Answers
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.
Answer ASAP In the given diagram, ∠4 = 45°, ∠5 = 135° and ∠10 = ∠11 Part A: Solve for the values of the remaining angles. Show all of your work. Part B: Use complete sentences to describe the angle relationship between the following angle pairs: 1. ∠4 and ∠1 2. ∠7 and ∠5 3. ∠9 and ∠10
Answers
Answer:
A) ∠9 = ∠10 = ∠11 = ∠12 = 90°
∠2 = ∠3 = ∠5 = ∠8 = 135°
∠1 = ∠4 = ∠6 = ∠7 = 45°
B) 1. ∠4 and ∠1 -> vertical angles
2. ∠7 and ∠5 -> supplementary
3. ∠9 and ∠10 -> supplementary
Step-by-step explanation:
Data
∠4 = 45°∠5 = 135°∠10 = ∠11The following are vertical angles, so they are congruent:
∠1 ≅ ∠4
∠3 ≅ ∠2
∠11 ≅ ∠9
∠10 ≅ ∠12
∠7 ≅ ∠6
∠5 ≅ ∠8
From here and data, it is deduced that
∠11 ≅ ∠9 ≅ ∠10 ≅ ∠12
From the picture, the addition of them is equal to 360°, then:
∠11 + ∠9 + ∠10 + ∠12 = 360°
4*∠11 = 360°
∠11 = 360°/4
∠11 = 90° = ∠10 = ∠9 = ∠12
∠2 and ∠4 are supplementary, then:
∠2 + ∠4 = 180°
∠2 = 180° - 45°
∠2 = 135°
∠7 and ∠5 are supplementary, then:
∠7 + ∠5 = 180°
∠7 = 180° - 135°
∠7 = 45°
Answer:
Started learning this today and this made a lot easier
Help pleaseeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
The answer is 3 mark as brainliest
Step-by-step explanation:
3 *3-4*4+2*5
9-16+10
9-6=
3
Answer:
Hey there!
3a-4b+2c
3(3)-4(4)+2(5)
9-16+10
3
Your answer would be 3.
Hope this helps :)