A trapezoid is shown. The length of one base is 10 and the length of the other base is 6. The height of the altitude is 5. A small rectangle with height 2 and length 3 is cut out of the bottom of the trapezoid. What is the area of the composite figure? units2

Answers

Answer 1

                            Friend! your answer would be 34!

   

                           ~Notify me if you have questions~

                          Have a nice day and I hope it helps!

                                                   ^ω^

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Answer 2

The area of the composite figure is 34 square units.

The formula for the area of a trapezoid is:

Area = (1/2) × (sum of bases) × height

Here, the sum of the bases is 10 + 6 = 16, and the height is 5.

Thus, the area of the trapezoid before the rectangle is cut out is:

Area of trapezoid = (1/2) × 16 × 5 = 40 units²

The height of the rectangle is 2, and the length is 3.

Therefore, the area of the rectangle is:

Area of rectangle = length × height

= 3 × 2

= 6 units²

To find the area of the composite figure, we subtract the area of the rectangle from the area of the trapezoid:

Area of composite figure = Area of trapezoid - Area of rectangle

= 40 units² - 6 units²

= 34 units²

Therefore, the area of the composite figure is 34 square units.

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Related Questions

The heights of five-year-olds are Normally distributed with a mean of 42.5 inches and a standard deviation of 2.5 inches. A random sample of 16 five-year-olds is taken and the mean height is recorded. What would be the standard deviation of the sampling distribution of all possible samples of size 16?

0.16
0.63
2.5
2.66

Answers

Answer:

0.63

Step-by-step explanation:

what's the area of the circle

Answers

Answer:

3.14

Step-by-step explanation:

Where should 3V49 be on the number line?

Answers

Answer:

Step-by-step explanation:

Note that 49 is a perfect square:  7² = 49.

Therefore, 3√49 = 3(7) = 21.

Note:  Brainly makes accessible to you a set of special math characters.  Have a friend show you how to find this menu and select the " √ " operator.

Plsss help I’m super stuck on this

Answers

Answer:

its  b

Step-by-step explanation:

took the quiz

Answer:

I would go with D

Step-by-step explanation:

You can look at the graph and answer it

There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores? 79% 82% 87% 92%

Answers

The median of the math scores is = 79%.

You can understand more about calculation of median of a set of numbers below.

Estimation of median scores

The total number of sophomores is = 8

The percentage score of each sophomore = 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%.

To calculate the median of the percentage scores, arrange the scores in ascending order and pick the figure in the middle as the median math score.

72, 74, 76, 78, 80, 82, 92, 92

Here the median is two figures 78, and 80 which are located in the middle. The median is =>78 +80/2

= 158/2 = 79%

Therefore, the median of the math scores is = 79%

Learn more about median calculation here:

https://brainly.com/question/14532771

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A. 79%

edge 2022 :)

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Plss I need this rnnn

Answers

Answer:

25

Step-by-step explanation:

25 is the answer because the sum of angles add up to 90

Pls help I have this homework !! bye I will mark you the best or brainliest!!

Answers

Answer:

90-54w

Step-by-step explanation:

18(5−3w)=  

18*5=90 , 18*3w= 54w =  

so simplified it would be = (90-54w)

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PLEASZE HELP ILL GIVE BRAINLIEST

Answers

PLEASZE HELP ILL GIVE BRAINLIEST

Huilans age is three times Thomas's age. the sun of their ages is 40. what is Thomas's age?

Answers

Answer:

Step-by-step explanation:

Huilan = H

Thomas = T

H = 3T

T+3T = 40(This is the sum)

4T = 40

4T/4=T

40/4=10

T=10

As a result of aerobic respiration, the composition of the air that is breathed in and the air that is breathed out changes

Answers

Answer:

The given statement is true

Step-by-step explanation:

Complete question

As a result of aerobic respiration, the composition of the air that is breathed in and the air that is breathed out changes. Is this true

Solution

Yes the composition of gases inhaled and exhaled are of different composition.

We intake oxygen from atmosphere while breathing in. However, while breathing out we release carbon dioxide (CO2).

Hence the given statement is true.

In a population of adults the proportions of people in various marital status are: Single:35%, Married: 60%, Divorced: 5%. A person is selected at random. If that person is not divorced find the probability that he or she is single.

Answers

Answer:

7/20 0r 0.35

Step-by-step explanation:

Probability of been single = percentage of single adult / sum of percentages

sum of percentages = 35 + 60 + 5 = 100

35/100 = 7/20 or 0.35

PLSSSSS HELP!!!!!!!!!

Answers

Answer:

x=30º

∠CAB=60°

∠ACB=80°

Step-by-step explanation:

Because the angles of every triangle add up to 180º, we know that:

[tex]2x+20+2x=180-40\\ 4x=180-40-20\\ 4x=180-60\\ 4x=120\\ x=\frac{120}{4}[/tex]

x=30º

Plug that in for x on both angles, and you will get

∠CAB=60°

∠ACB=80°

Find the out put, y, when the input, x, is 30.
y= 14 - 0.5x

Answers

Answer:

-1

Step-by-step explanation:

Just substitute 30 for x in y = 14 - 0.5x:

y = 14 - 0.5(30)  =  14 - 15  =  -1

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Answers

Eeeeeeeeeeeeeeeeeeeeeeeeeeee

Please helppp thanksss

Answers

Y-intercept
(0,-2)
x-intercept
(5,0)

En una carrera participaron 7000 personas entre hombres y mujeres y 5000 personas entre mujeres y niños. Si han corrido 3000 mujeres ¿cuantas mujeres participaron en total?

Answers

Answer:

9000 personas en total participaron de la carrera.

Step-by-step explanation:

En este caso, planteo las siguientes variables:

x: cantidad de hombres que participaron de la carrera.y: cantidad de niños que participaron de la carrera.

En una carrera participaron 7000 personas entre hombres y mujeres. Si han corrido 3000 mujeres, entonces se puede interpretar mediante la siguiente expresión:

3000 + x= 7000

Entonces, resolviendo se obtiene que participaron la siguiente cantidad de hombres:

x= 7000 - 3000

x= 4000

En la carrera también participaron 5000 personas entre mujeres y niños. Entonces se puede interpretar mediante la siguiente expresión:

3000 + y= 5000

Resolviendo se obtiene que participaron la siguiente cantidad de niños:

y= 5000 - 3000

y= 2000

Para calcular la cantidad de personas en total que participaron de la carrera, debes sumar la cantidad de hombres, mujeres y niños. Esto es:

4000 hombres + 3000 mujeres + 2000 niños= 9000 participantes

9000 personas en total participaron de la carrera.

Students at a middle school are divided into 6th, 7th, and 8th grades. A random sample of 15 students from each grade is chosen.
Which sampling method best describes this scenario?

A) simple random sample
B) stratified random sample
C) systematic random sample
D) voluntary response sample

Answers

Answer:

B. Stratified random sample is the correct answer

The best sampling method that describes the scenario where students from each grade (6th, 7th, and 8th) are randomly chosen in a sample of 15 students from each grade is B) stratified random sample.

In a stratified random sample, the population is divided into distinct groups or strata based on certain characteristics, and then a random sample is taken from each stratum. In this case, the distinct groups are the different grade levels (6th, 7th, and 8th grades). By randomly selecting 15 students from each grade, we ensure representation from each grade level in the sample.

This method allows for a more accurate representation of each grade level within the sample and can provide valuable insights into the characteristics and experiences of students in each grade.

To know more about sampling method click here :

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Martin has read 70% of a book. He has 27 more pages to finish. How many pages are there in the book?​

Answers

Answer:

90 pages

Step-by-step explanation:

Given: 70% of a book, 27 more pages

To find: How many pages there are in the book

Solution: If 70% is 27,

27 to the 20 it stands for is 20

70 + 20 = 90

Thus, there are 90 pages left in the book

please help me !!!!!!!!!!!!

Answers

Answer:

The answer is D

Step-by-step explanation:

A 180 rotation on 1,1 which is the center will rotate it onto itself.

the answer is d!!!!

What is the slope of the linear equation: y=-5x+6

Answer Choices:
A. -5
B. -5x
C. 1/5
D. 6

Answers

it is -5.............

The Diaz family bought 7 bags of cookies. Each bag had 14 cookies. They have since eaten 29 of the cookies. How many cookies do they have left?

Answers

Answer:

They have 69 cookies left.

Step-by-step explanation:

7 x 14 = 98

98 - 29 = 69

The lengths, in cm, of the sides of a triangle are 3x – 5, 2x – 1 and x + 1 (a) Write down an expression, in terms of x, for the perimeter of the triangle.

Answers

Answer: [tex]6x-5[/tex]

Step-by-step explanation:

Given

The side lengths of a triangle are  [tex]3x-5, 2x-1,\text{and}\ x+1[/tex]

Perimeter(P) is the sum of the side length of the triangle i.e.

[tex]\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5[/tex]

Therefore, the perimeter of the triangle is [tex]6x-5[/tex]

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Answers

Answer: C

Step-by-step explanation:

divide 342 by 7 and round to the nearest whole number

9y - 2x = 0 in slope intercept form.

Answers

Answer:

y=2/9x

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

9y-2x=0

9y=2x

y=(2/9)x

Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded
quarterly. Sophie invested $6,200 in an account paying an interest rate of 7 7/8%
compounded monthly. To the nearest dollar, how much money would Sophie have in
her account when Caleb's money has doubled in value?

Answers

Oh this is a hard one I will get back to you whenever I get it

Which statement is true about rectangular prisms?
A. All rectangular prisms have five faces.
B. The bases are always congruent.
C. The lateral faces are always congruent.
D. All rectangular prisms have three lateral faces.

Answers

Answer:

it b

Step-by-step explanation:

I'll give you brainiest if you help me.

Answers

Answer:

88 degrees.

Step-by-step explanation:

Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)

I NEED ASAP DUE TODAY!!!! WILL GIVE THE BRAINLEST
solution to
y=0.50x+1
and
y=0.25+5

Explain step by step plz

Answers

it is 3.75

step by step: 0.50x+1=0.25x+5
subtract 0.25-0.50 and 5-1 then add -0.25+4 and that equals 3.75

Whats the slope using rise/run?
thank you

Answers

Answer:

answer is 7

Step-by-step explanation:

one point is at (1,3) and the other at (0,-4)

to get slope y2-y1 / x2-x1

so -4-3 / 0-1

-7/-1

so answer is 7

determine the missing length in your right triangle using the Pythagorean theorem. round your answer to the nearest 10th if necessary

Answers

Answer:

21.4

Step-by-step explanation:

13^2 + 17^2 = c^2

169 + 289 = c^2

458 = c^2

The square root of 458 is 21.4.

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