What is the area of the composite figure?

What Is The Area Of The Composite Figure?

Answers

Answer 1

Hello! :)

[tex]\large\boxed{A = 32.5cm^{2}}[/tex]

We can use the following area to solve for the area of the trapezoid pictured:

[tex]A = \frac{1}{2}(b_{1} + b_{2})h[/tex]

Where:

h = height

b1 = bottom base

b2 = top base

Plug in the given values:

[tex]A = \frac{1}{2}(9 + 4)(5)[/tex]

Simplify:

[tex]A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}[/tex]


Related Questions

The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to

Answers

Answer:

10 ; 3.464 ; 2.4 ; (7.6, 12.4)

Step-by-step explanation:

Given the data :

10, 8, 12, 15, 13, 11, 6, 5

Point estimate of population mean :

m = ΣX / n

n = sample size = 8

(10+8+12+15+13+11+6+5) / 8

= 10

Point estimate of population standard deviation :

Sqrt(Σ(X - m)^2 / n-1)

((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7

= sqrt(84/7)

= 3.464

Margin of error at 95%:

Zcritical * sqrt(sd²/n)

Zcritical at 95% = 1.96

1.96 * sqrt(3.464^2 / 8)

Margin of Error = 2.4

Confidence interval :

m ± Z(s/sqrt(n))

10 - 1.96(3.4634/sqrt(8)) = 7.6

10 - 1.96(3.4634/sqrt(8)) = 12.4

Mr. Santor cuts 1/2 of a piece of construction paper. He uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?

Answers

Answer:

1/12

Step-by-step explanation:

1/2 multiplied by 1/6 equals 1/12

Please help me I’m not good with graphs

Answers

Answer:

I'm pretty sure it's 2 and 3

2 and 3

Good luck:)

I need help
are all intergers a closed or open whoel number when subtracting or adding them together

Answers

Answer:

Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D

Step-by-step explanation:

The Picture has the answers and the question.

Answers

Answer:

B

Step-by-step explanation:

Factor the common expression: 2x + 4 =

Answers

Answer:

2(x+2)

Step-by-step explanation:

Hope it helps you

Determine which choice best shows the distributive property of multiplication.

Question 2 options:

1 × 6 = 6


6 × 9 = 9 × 6


6 × (9 + 8) = (6 × 9) + (6 × 8)


6 × (9 × 8) = (6 × 9) × 8

Answers

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

Distributive property of multiplication

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8)  = (6× 9) + (6×8)

Simplify the expression.
- 2.6f +0.2f - 15 - 3
i need help with this, anyone?

Answers

Answer: -2.4f-18

Step-by-step explanation:

Add 0.2f to -2.6f then subtract 3 from -15

apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.

Answers

Answer:

3 times 30 miles and 4 times 40 miles

Step-by-step explanation:

Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Travis is planning to ride at a constant speed during an upcoming bike trip.

This implies that the slope of the graph will be a constant.

So the graph will be a straight line.

We have two points on the graph (1, 10) and (2, 20).

The starting point will be (0, 0).

Slope = (20 - 10) / (2 - 1) = 10

So the equation of the line is y = 10x.

When x = 3 hours, y = 30 miles

When x = 4 hours, y = 40 miles

Hence the points has to be marked at (3, 30) and (4, 40).

Learn more about Speed and Slope here :

https://brainly.com/question/13281781

#SPJ2

The complete question with the graph is given below.

Jane has 6 more than twice the number of pairs of shoes that Mary has.

Write an expression for this. Use s as your variable for the shoes.

Answers

Answer:

im not sure

Step-by-step explanation:

Question need help very hard pls

Answers

Well I think the scale is number 7 because

Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use

Answers

Answer:

The kind of hypothesis testing we can use is z-test for means

Step-by-step explanation:

Given that;

sample mean x" = 500

standard deviation σ = 100

sample size n = 6

What kind of hypothesis testing do we use?

There are two cases where z-test can be use;

first, when we know the population standard deviation or variance

and secondly, when the population size is more than 30.

So from the question, the population standard deviation was given, which is 100.

Since we know the S.D, it meets the first condition.

Therefore, The kind of hypothesis testing we can use is z-test for means

The width of a rectangle is 7 inches less than the length. The perimeter is 62 inches. Find the length and the width.

Answers

Answer: Perimeter = 2(L) + 2(W) Length = 7W - 2 Perimeter = 60 60 = 14W - 4 + 2(W) 60 =16W - 4 64 = 16W Width = 4 Length = 7(4) - 2 Length = 26

I hope this helped!

Step-by-step explanation:

A cliff diver jumps from a height of 58 feet with an initial velocity of 4 feet per second.

Answers

Answer:

The answer is 6 seconds

     

Find the vertex of the parabola defined by the following equation. 3x^2-12x+11

Answers

Answer:

y= 3(x-2)^2-1

Step-by-step explanation:

If the data below were represented by a comparative bar chart, the bar
representing which of these would be the tallest?
A. Left-handed girls
B. Right-handed boys
C. Right-handed girls
D. Left-handed boys

Answers

Answer:

b right handed boys

Step-by-step explanation:

What is the name of the line passing through the vertex that divides
the parabola into two symmetric parts?

Answers

Answer:

symmetry

Step-by-step explanation:

is the line that divides the parabola into two mirror images

Answer:

line of symmetry

Step-by-step explanation:

Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?

Answers

A 10% tip would be $7.50, so a$7 tip is too little

Answer:

a $7 tip is too little

Step-by-step explanation:

a coach on a motorway is travelling at a constant speed . in ten minutes it travels 16 kilometer

work out its travells

20 minutes
please answer

30 minutes

50 minutes

1 hour

Answers

Step-by-step explanation:

10 minutes= 16km

20 minutes= 16x2 = 32km

30 minutes= 16x3 = 48km

50 minutes= 16x5 = 80km

60 minutes = 16x6 = 96km

I hope this helps, have a great day! :) -wilzW

A particle traveled a distance of 9.0×1012 meters at a rate of 1.8×105 meters per second. If distance = rate x time, how many seconds did it take the particle to travel the specified distance?

Answers

Answer:it took  the particle 50,000,000 seconds to travel the specified distance

Step-by-step explanation:

Given that distance = Rate x time

Distance traveled by Particle= 9.0×10^12 meters

and rate= 1.8×105 meters per second

Time taken for particle to travel the specified distance  using our equation that

distance = Rate x time

time = Distance / Rate

=9.0×10^12 meters/ 1.8×105 meters per second

=50,000,000 seconds

What is the Percentage of 23000

Answers

Answer:

2300000%

Step-by-step explanation:

0.01 = 1%

1 = 100%

23000 X 100 = 2300000%

Hope It Helps

10. Find the rate of change in the table below.
Show all work.
х
18
20
22
24
y
4.5
5
5.5
6

Answers

Answer:

it's times 4 every time

Step-by-step explanation:

4.5 times 4 is 18 etc

solve the equation

PLZ I need a good grade

Answers

P ≤ 6, first you divide both sides by 7 so you get p ≤ 6 bc 7/7 is 0 and 42/7 is 6

answer:

p = 6

1. pull out like factors

7p - 42  =   7 • (p - 6)

2. solve it

7=0

this equation can't be solved, therefore has no solution.

Which of the following can a seismograph not show scientists?

Answers

It can’t tell you when exactly in time when the earthquake is going to occur.

PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

55 degrees

Step-by-step explanation:

Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.

How many cupcakes does the supermarket get?

Answers

you do 525/7 to get 1 part
1part =75
75x4 to get supermarket
which then the answer is 300 cupcakes to for the supermarket

Please help don’t understand

Answers

Answer:

first you choose one of the varibles to solve for so im going to start with s you would add them up and subtract them that way there on the other side of the = sighs so you equation would be 8+2d+3=-7s then you add the 8 and the 3 and you would get 11+2d=-7s i dont know what you do after this i think this is the answer.

Answer:

the other guy is right trust him

Explain whether the following statement is true or false. The function notation f-1(x) means 1/f(x)

Answers

Answer:

True

Step-by-step explanation:

f-1(x) otherwise known as the inverse of f(x) is the mathematical equivalent as 1/f(x).

Being inverse simply means that it "reverses" the operation that was applied to it with the original function .

For example: suppose f(x) = x+1, then if x = 1, f(1) = 1+1 =2

Now if we do f-1(x) or 1/f(x), then 1/f(1) = 1/1 +1 = 1/2

So, 2/1 is in fact the inverse of 1/2.

Hence, f-1(x) is the same as 1/f(x)

Which expressions are solutions to the equation 3/4x=15

Answers

Answer:

3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20

Evaluation 6ab when a = 1/2 and b = 7

Answers

Answer:

21

Step-by-step explanation:

6x1/2x7

6 x 1/2=3, 3 x 7=21

I hope this helps and have a nice day!

Other Questions
An 8.00 kg mass moving east at 15.4 m/s on a frictionless horizontal surface collides with a 10.0 kg object that is initially at rest. After the collision, the 8.00 kg object moves south at 3.90 m/s. (a) What is the velocity of the 10.0 kg object after the collision Find the slope of the line from a graph. Will give brainliest!!! Which term describes information an organization or government sends out to promote a policy, idea, or cause? Symbolism Bias Ideology Propaganda 16. Using the average atomic masses given in the inside front cover of this book, calculate the indicated quantities. d. the number of moles of cobalt represented by 5.99 x 1021 cobalt atoms e. the mass of 4.23 mol of cobaltf. the number of cobalt atoms in 4.23 mol of cobaltg. the number of cobalt atoms in 4.23 g of cobalt can someone please help me? it would mean so much to me. thanks a lot! what is (4x - 4) + (2x + 2)? (no direct answer.) how do you figure out what the y=mx+b of a equation list three ways you can reduce the stress related to taking a test The two figures are similar. Identify the similar sides, and then write the similarity statement. Fill in each blank, then complete the sentence by explaining your reasoning. AB is similar to ____ because: AC is similar to ____ because: CB is similar to ____ because: Step 2: Write the similarity statement. COMMUNIST China relied on supplies from this country cell structure and major cell types In a pack of candies, Maria found that for every three blue candies, there were five red ones. Identify the correct list of ratios that compares the red candies to the blue ones. the leader of the Soviet union during world war 2was What did Federalist 51 Argue? Which sequence of transformations on preimage ABC will NOT produce the image A'B'C'?A. reflection across the line y = -x followed by a rotation 180 counterclockwise about the originB. reflection across the y-axis followed by a rotation 90 clockwise about the originC. reflection across the line y = xD. rotation 180 clockwise about the origin followed by a reflection across the line y = -xE. reflection across the x-axis followed by a reflection across the y-axis what is 7.42 divded by 1.75 andrew sold $50 less than sarah did and evan sold $25 more than Sarah. these quantities can be communicated symbolically. if x= the amount that sarah sold, which of these represents the amount sold by the other two people?A. andrew=50-x, Evan= x+25B. Andrew=x-50, Evan=x+25C. andrew=x-50, evan=25xD. andrew=50-x, evan=25x Which system of linear equations appears to have a solution of (3,0)? examine this diagram of the human heart. what is the structure indicated by the arrow?I unfortunately can't post a picture because I am uploading this question from my computer but I will do my best to describe the image. It's a normal picture of a human heart, but there is an artery going down and there is an artery going to the right, I need the name of the artery going to the right because that is what the arrow is pointing at.A. The Pulmonary ArteryB. The Pulmonary VeinC. The Superior Vena CavaD. The Aorta definition of a stakeholder