This composite figure has been divided into three rectangles. What is the area of this composite figure

This Composite Figure Has Been Divided Into Three Rectangles. What Is The Area Of This Composite Figure

Answers

Answer 1

Given:

A composite shape consisting of three rectangles with different lengths and widths.

To find:

The area of the composite shape.

Solution:

To find the area of the composite shape we must add the areas of all the three rectangles.

The upper rectangle has a length of 8 inches and a width of 4 inches.

The area of a rectangle [tex]= (l)(w).[/tex]

The area of the upper rectangle [tex]=(8)(4)=32[/tex] in².

The middle rectangle has a length of [tex]8-4=4[/tex] inches and a width of [tex]10-4-1.5=4.5[/tex] inches.

The area of the middle rectangle [tex]=(4)(4.5) = 18[/tex] in².

The lower rectangle has a length of 8 inches and a width of 1.5 inches.

The area of the lower rectangle [tex]= (8)(1.5)=12[/tex] in².

The area of the composite shape [tex]= 32+18+12 = 62[/tex] in².

The composite shape has an area of 62 in² which is option 3.

Answer 2

Answer: you have to do 62

Step-by-step explanation:


Related Questions

Use the Pythagorean Theorem to prove that the three sides of the triangle are the three sides of a right triangle. Show all of your work.
2, 4, 2

Answers

Answer:

it’s not a right triangle

Step-by-step explanation:

2^2 + 2^2 = 8 < 4^2

what is a compound inequality that represents all real numbers that are greater than -8 but less than 8

Answers

Answer:

The inequality is "-8 < x < 8" that can also be expressed as x > - 8 and x < 8

Step-by-step explanation:

In this case there are two inequalities. The first one is for all real numbers that are greater than -8. In this case we will represent the real numbers as "x" and this inequality can be represented as:

x > - 8

The second inequality is for all real numbers that are less than 8, this can be represented as:

x < 8

To create the compound inequality we have two use both of the inqualities above:

-8 < x < 8

x > - 8 and x < 8

In this case we use and because the real number must satisfy both inequalities at the same time.

what is (-9x)+(-14x)=?

Answers

Answer:

-23x

Step-by-step explanation:

(-9x)+(-14x)

Combine like terms

Factor out the x

x (-9 + -14)

x (-23)

-23x

Answer:

-23x

Step-by-step explanation:

add -9 and -14

Use the equation to complete the table.
y = 7x + 1
Input Output
X
Y
10

Answers

Answer:

4 / 29

7 / 50

10 / 71

Step-by-step explanation:

7=7x+1

This means that you multiply the input number by 7 then add 1  then that's the output answer. Hope This Helps!

Find the sum -6/3 - (-7/15)

Answers

Answer:

-1 [tex]\frac{8}{15}[/tex]

Step-by-step explanation:

That's the answer I think

Answer:

- 23/15 or - 1 8/15

Step-by-step explanation:

When you want to subtract fractions, you first want to see if they have the same denominator. In this case, there isn't a common denominator so we need to make it so there is. Since 15 is the larger one and a multiple of 3, we can change -6/3 to -30/15 by multiplying the top and bottom by 5. Now the double negatives cancel each other out so instead of -30/15 - (-7/15), it will be -30/15 + 7/15. Add them together and you get -23/15.

what is the value of x?

Answers

Pretty sure it’s 7! You subtract 15 and 8

Does the graph f(x)=-2x^2 -1 have a maximum or a minimum? Explain.

Answers

Answer:

It has a maximum

Step-by-step explanation:

The way I think about it is looking at "a" (the leading variable's coefficient, so __x²), if it's negative, the graph is a frown, but if it's positive, it's a smile. In this case, a is -2, so the graph would have the shape of a frown, which has a maximum.

I hope this helped!

Which statement about population parameters and point estimates is false?​

Answers

Answer: s is the population standard deviation. it is the square of the variance.

Step-by-step explanation:

i just did the quiz

Answer:

B

Step-by-step explanation:

A P E X

Help me! Thank you! :)

Answers

Look at the attached picture

Hope it will help u..

Answer:

14

Step-by-step explanation:

Please help

Find the polynomial M if 2x^2− 1/3 ax+by−M=0.

Find the polynomial B if 3x^2y− 1/3 xy^3+cy+B=0.


The Y for the second equation is not an exponent.

Thank You

Answers

Answer:

M = 2x² - (ax/3) + by

B = - 3x²y + (xy³/3) - cy

Step-by-step explanation:

Equation 1 is

2x² - (1/3)ax + by - M = 0

M = 2x² - (ax/3) + by

Equation 2

3x²y - (1/3)xy³ + cy + B = 0

B = - 3x²y + (xy³/3) - cy

Hope this Helps!!!

Which word best describes the degree of overlap between the two data sets?

low

moderate

none

high

Answers

Answer: In case of data set given with the question, the word that best describes the degree of overlap between the two data set is low

Step-by-step explanation:

2/15, 3/10, 7/30
What is the least common denominator

Answers

Answer:

30

Step-by-step explanation:

to find the least common denominator you can do the GCF of the denominators so 15 10 and 30 so 3*5 2*5 and 2*3*5 so every number is divisible by 30 so its 30

The radius of a circle is 22 kilometers. What is the circle's circumference?
Use 3.14 for ​.

Answers

Answer:

138.16  km

Step-by-step explanation:

Circumference=2*pi*radius

22*3.14=69.08

69.08*2=138.16

Answer:

138.16 kilometeres

Step-by-step explanation:

C= 2 *π * r

C= 2 * 3.14* 22

C = 138.16 kilometers

need help i will be giving brainlest
In the Three-Dimensional Figures and Cross Sections section, what is the difference between a prism and a pyramid? *

Answers

Answer:

prism has two identical bases that are parallel. A pyramid has one base. A prism or pyramid is named for the shape of its base.

Final answer:

The primary difference between a prism and a pyramid is their base shapes, the number of vertices, edges, and faces, with prisms having parallel and congruent bases while pyramids have triangular faces that meet at an apex.

Explanation:

The main difference between a prism and a pyramid lies in the shapes of their bases and the number of faces, edges, and vertices. A prism is a polyhedron that has two parallel and congruent faces called bases that are polygons of the same shape and size, and the other faces, known as lateral faces, are parallelograms resulting from connecting the corresponding vertices of the two bases. In contrast, a pyramid has a polygonal base and triangular faces that connect the base to a single point called the apex. A prism has as many lateral faces as the sides of its base, while a pyramid has as many triangular faces as the sides of the base polygon. Another way to distinguish them is by their vertices and edges; a prism will always have twice as many vertices and edges in the sides of the bases than a pyramid with the same shaped base.

Solve for x. 2+x/9 = 4/6

Answers

Answer:Solve for x. 2+x/9 = 4/6

Step-by-step explanation:

Solve for x. 2+x/9 = 4/6

A population has a standard deviation of 5.5. What is the standard error of
the sampling distribution if the sample size is 49? Round your answer to two
decimal places.​

Answers

Answer:

The standard error of the sampling distribution is [tex]\sigma_x = .79[/tex].

Step-by-step explanation:

We can find the standard error of the sampling distribution using this formula:

[tex]\displaystyle \sigma_x = \frac{\sigma}{\sqrt{n} }[/tex]

The standard deviation of the sampling distribution, also known as the standard error, can be found by taking the population standard deviation and dividing it by the square root of the sample size, both of which we are given in the problem.

[tex]\displaystyle \sigma_x = \frac{5.5}{\sqrt{49 }} = .7857[/tex]

Rounded to two decimal places: [tex]\sigma_x = .79[/tex]

The standard error of the sampling distribution if the sample size n = 49 and the population standard deviation σ = 5.5 is .79.

A group of 100 students were asked if they study French or Spanish in school. The results are shown in this two-way table.

Which statements are correct? Check all that apply.

Answers

Answer: A,C,D

Step-by-step explanation:

Answer:

A,C,D on edg, 2021

Step-by-step explanation:

Liu wants to decorate some cakes with shapes.
She has 140 shapes.
Each shape is a star or a heart.
The ratio of the number of stars : to hearts is 4:3.
She wants to put 5 stars and 4 hearts on each cake.
How many cakes can Liu decorate?
Show full working to support your answer.​

Answers

Answer:

15 cakes can be decorated.

Step-by-step explanation:

Given:

Total number of shapes Liu has = 140

Ratio of shape of stars and hearts = 4 : 3

According to the question:

Each cake have 5 stars and 4 hearts.

Let the number of starts be "4x" and number of hearts be "3x" from the ratio.

Now,

⇒ [tex]4x+3x=140[/tex]

⇒ [tex]7x=140[/tex]

⇒ [tex]x=\frac{140}{7}[/tex]

⇒ [tex]x=20[/tex]

Number of stars = [tex]4x =4(20) =80[/tex]

Number of hearts = [tex]3x=3(20)=60[/tex]

Each cake have 5 stars and 4  hearts .

How many cakes can be decorated with 80 stars.

⇒ No.of cakes = Total number of stars / 5

⇒ [tex]C=\frac{80}{5}[/tex]

⇒ [tex]C=16[/tex]

How many cakes can be decorated with 60 hearts.

⇒ [tex]C=\frac{60}{4}[/tex]

⇒ [tex]C=15[/tex]

But both shapes are in combination so only 15 cakes can be decorated with the combination of 5 stars and 4 hearts.

Liu can decorate 15 cakes and only.

Final answer:

Liu can decorate 15 cakes with the 140 shapes she has, given the ratio of stars to hearts and the number of each she wants to put on each cake.

Explanation:

Liu wants to decorate cakes with a total of 140 shapes, where the ratio of the number of stars to hearts is 4:3. To find out how many shapes there are of each type, we first need to determine how many groups of 4 stars and 3 hearts are in 140 shapes.

Total ratio parts = 4 (stars) + 3 (hearts) = 7 parts.

Total groups of shapes = 140 shapes ÷ 7 parts per group = 20 groups.

So, there are 20 groups of stars and 20 groups of hearts. Now, we need to find out how many of each shape there are:

Stars = 20 groups × 4 stars/group = 80 stars

Hearts = 20 groups × 3 hearts/group = 60 hearts

Liu wants to put 5 stars and 4 hearts on each cake. The number of cakes she can decorate is limited by the shape she has the least of, which is the hearts. Now, let's calculate:

Cakes decorated with hearts = 60 hearts ÷ 4 hearts/cake = 15 cakes

Therefore, Liu can decorate 15 cakes with 5 stars and 4 hearts each, since the hearts will run out after 15 cakes.

What is the inverse of *
y = log, 8

Answers

Answer:

if [tex]log_{10}8[/tex] then no solution, but if [tex]log_{8}[/tex] then the answer is [tex]y=8^x[/tex]

Step-by-step explanation:

it depends if its a common logarithm or of ot a logarithm of  a base of 8. normally, a common logarithm would look like [tex]log_{10}x[/tex] or it will look like [tex]logx[/tex]. the 10 does not need to be visible to be a common logarithm. if the function is  base 8 like i suspect then it will look like[tex]log_{8}[/tex]. the inverse of a logarithmic function is an exponential function. sorry if that made your brain hurt.

Write an expression and solve it with the given values of the letters: b There are x candies in a bag. 4/9 of all the candies are chocolates. How many candies which are not chocolates are in the bag? (x=36)

Answers

Answer:

There are 20 candies which are not chocolates are in the bag.    

Step-by-step explanation:

We are given the following in the question:

Number of candies in bag = [tex]x[/tex]

Number of candies that are chocolate =

[tex]\dfrac{4}{9}\text{ of the total candies}[/tex]

Number of chocolate candies in the bag =

[tex]=\dfrac{4}{9}\times x=\dfrac{4x}{9}[/tex]

We are given that x = 36.

We have to find the number of candies which are not chocolates are in the bag.

Number of chocolate candies in the bag =

[tex]=\dfrac{4}{9}\times 36 = 16[/tex]

There are 16 chocolate candies in the bag.

Number of candies that are not chocolate =

[tex]= 36-16\\=20[/tex]

Thus, there are 20 candies which are not chocolates are in the bag.

Help please!!!!!!!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

they always make some kind of angle usually 90 degress.

3 they always make like a 90 degree

Can you work out this math puzzle?

Answers

Answer

Answer is 20 because the traingle is 10 the circle is 5 and the half of square is 2

The value of the missing puzzle after summing each shape is 17

From the puzzle :

Triangle = 30 ÷ 3 = 10

Circles :(10 + 2x) = 202x = 20 - 10x = 10 ÷ 2 x = 5

Hence, circles = 5

Squares :

5 + 2x = 13 2x = 13 - 5 2x = 8x = 4

Hence, squares = 4

Half of a square = 4 ÷ 2 = 2

For the missing puzzle :

Triangle + circle + half square10 + 5 + 2 = 17

Hence, the value of the puzzle is 17

Learn more : https://brainly.com/question/16104717?referrer=searchResults

Select the option that best describes the relationship between the variables on the scatterplot... PLEASE HELP

Answers

Answer:

Negative, linear

Step-by-step explanation:

If you look at it, it is relatively in a line and the values are going down.

Answer:

Negative, linear association

Step-by-step explanation:

i know because i got it correct

Given
below, is PQ a minor arc, a major arc, or a semicircle?
A. Minor arc
B. Semicircle C. Major arc

Answers

Answer:

B. Semicircle

Step-by-step explanation:

Semicircle means "half of a circle"

A minor arc is when the arc has a degree of less than 180°

A major arc is when the arc has a degree of more than 180°

If the degree is exactly 180°, then it's a semicircle. And it tells you the degree, which is 180°

Answer:

Semicircle

Step-by-step explanation:

Please help solve this question. You are hiking to a ranger station. There is one correct path. You come to a fork and randomly take the path on the left. You come to another fork and randomly take the path on the right. What is the probability you are still on the correct path?

Answers

Answer:

1 out of 3

Step-by-step explanation:

because there is 3 total paths and there is only 1 correct path so it is 1 out of three chances you are on the correct path.

Answer:

1/4

Step-by-step explanation:

P(left) = 1/2

Next,

P(right) = 1/2

1/2 × 1/2

1/4

Please someone help me in this

Answers

Answer:

20 watches were made.

Step-by-step explanation:

385=15n+85

300=15n

20=n

Answer:

20 watches

Step-by-step explanation:

385= 15n+85

-85          -85

300=15n

divide both sides by 15

20=n

solve the equation for x
-2(-4-6x)=-10+3x

Answers

Your answer will be negative 2

Answer:

x= -2

Step-by-step explanation:

[tex]-2(-4-6x)=-10+3x \: [/tex]

[tex]8 + 12x = - 10 + 3x[/tex]

[tex]12x - 3x = - 10 - 8[/tex]

[tex]9x = - 18[/tex]

[tex]x = \frac{ - 18}{9} = - 2[/tex]

Sarina’s dog, Bruno, has to go on a diet! Sarina puts Bruno on a diet plan of daily exercise and a special type of dog food. She estimates Bruno will lose

1 1/2 pounds per week on this plan.

Answer the following questions regarding Bruno's weight loss.


a. How many pounds does Sarina estimate Bruno will lose in 2 weeks?

b.How many pounds does Sarina estimate Bruno will lose in

8 1/2 weeks?

c. Write an equation for this situation. Use w to represent weeks and use p to represent the number of pounds Bruno loses. (Because Bruno is losing weight, the number of pounds he loses will be defined as a negative value.
please help

Answers

In two weeks he will lose 3 pounds

In 8.5 weeks he will lose 12.75 pounds

p= w(-1.5)

The table contains data for five students: hours studied, x, and corresponding test scores, y. Use the regression calculator to make a scatterplot with a trend line.

A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 2, 4, 7, 8. Column 2 is labeled y with entries 76, 81, 89, 87, 91.

Based on the trend line, what score would you expect after studying for 5 hours?
As the number of hours studying increases, the coressponding test score

Answers

Answer:86 tends to increase

Step-by-step explanation:

just did this

After 5 hours of studying, expected score will be 86.

As the number of hours studying increases, the corresponding test scores also tends to increase.

What is Scatterplots?

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Given is a table containing the hours studied, x and the corresponding test scores, y of five students.

x : 1     2     4     7     8

t : 76  81   89   87   91

The trend line is drawn below.

The trend line passes through (2, 81) and (8, 91).

Slope of the line = (91 - 81) / (8 - 2) = 10/6 = 5/3

Equation is of the form y = 5/3 x + c

Substituting the point (2, 81),

81 = 10/3 + c

c = 233/3

Equation of the line is y = 5/3 x + 233/3

When x = 5, y = (5/3 × 5) + 233 / 3 = 86

Hence after 5 hours of studying, there will be a score of 86.

As the number of hours studying increases, the corresponding test scores also tends to increase.

Hence the trend line is given below.

Learn more about Scatterplots here :

https://brainly.com/question/29366075

#SPJ7

The wind speed s (in miles per hour) is related to the distance (in miles) the tornado travels by the equation s = 93log d + 65. On March 18, 1925, a tornado whose wind speed was about 280 miles per hour struck the Midwest. How far did the tornado travel? PLEASE HELPPPP

Answers

Hope this helps you I solved it

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A savings account increased from $500 to $550 in 6 months a. f(x) = 4x3 10x + 7 one to one Which of the following would likely be found in a song in the courtly love tradition?a knight performing heroic deeds in honor of a ladya king pursuing a mistress unbeknownst to his queena recitation of the rules of proper courtshipa lady weeping over a knight that does not love her A Punnett square is used to predict the potential offspring from a cross. true or false Search engines rank Web pages based on which of the following?.The amount of advertising used on the web page.The popularity and credibility of the Web page.The profit margins of the sponsoring company.The ratio of graphics to text on the web page It has long been stated that the mean temperature of humans is 98.6degreesF. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6degreesF. 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