find the area of this figure​

Find The Area Of This Figure

Answers

Answer 1

Answer:

170 in²

Step-by-step explanation:

This trapezoid is broken up into two shapes: a triangle and a parallelogram.

The formula for area of a triangle is b (base) × h(height) ÷ 2.

The base of the triangle is 4 and the height is 10.

b (base) × h(height) ÷ 2

10 × 14 ÷ 2 = 70

-------------------------------------------------------------------------------------------------------------

The formula for area of a parallelogram is b (base) × h(height).

The base of the parallelogram is 10 and the is 10 as well.

b (base) × h(height)

10 × 10 = 100.

-------------------------------------------------------------------------------------------------------------

Lastly, add both areas.

100 + 70 = 170

Therefore, the area of this figure is 170 in².


Related Questions

Which expression is equivalent to the expression for the perimeter of the larger garden. Select all the apply.

Answers

Answer:

Option A, 4X + 40 expression is equivalent to the expression for the perimeter of the larger garden

Step-by-step explanation:

The complete question is

A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden: (x+15)+(x+5)+(x+15)+(x+5). Which expression is equivalent to the expression for the perimeter of the larger garden? Select all that apply.

4x+40 2(2x+20) 2(x+15)(x+5) 4(x+15)(x+5) 2(x+15)+2(x+5)

Solution

The expression for the perimeter of the larger garden: [tex](x+15)+(x+5)+(x+15)+(x+5)[/tex]

If the given expression is expanded and solved, we get the following

[tex](x+15)+(x+5)+(x+15)+(x+5)\\X+X+X+X + 15+15+5+5\\2X+2X+30+10\\4X +40[/tex]

Hence, option A is correct

Kyle ran 8 miles. One kilometer is approximately 0.62 miles. Which measurement is closest to the number of kilometers Kyle ran?

Answers

Answer:

4.96 Kilometers

Step-by-step explanation:

Answer:

12.9 kilometers

Step-by-step explanation:

Find how many kilometers Kyle ran by dividing 8 by 0.62:

8/0.62

= 12.9

So, Kyle ran approximately 12.9 kilometers

78-[5+3 of (25-20)]
can you please help me solve this?​

Answers

Answer:

38

Step-by-step explanation:

➜78-[5+3×(25-20)]

➜78-[8(5)]

➜78-40

➜38

The square of -4a is

Answers

Answer:

16a²

Step-by-step explanation:

(- 4a)²

= - 4a × - 4a

= 16a²

HELP PLEASE!

In this figure shown, EF is the mid segment of trapezoid ABCD. Find EF.

Answers

Answer:

x = 2

Step-by-step explanation:

EF = ½(BC + AD) => Trapezoid Midsegment theorem

Substitute

5x + 4 = ½((4x + 1) + (7x + 5))

5x + 4 = ½(4x + 1 + 7x + 5)

Multiply both side by 2

2(5x + 4) = 4x + 1 + 7x + 5

10x + 8 = 4x + 1 + 7x + 5

10x + 8 = 11x + 6

Collect like terms

10x - 11x = -8 + 6

-x = -2

Divide both sides by -1

x = 2

Shakira went bowling with her friends. She paid $3 to rent
shoes and then $4.75 for each game of bowling, if she spent a
total of $23, then how many games did Shakira bowl?
Wri
Did you solve using an equation or an inequality?
Explain why using the lines below.

Answers

Answer:

= # of games playing

4.75x + 3 = 42

4.75x = 39

x = 39 /4.75

x = 8.21

answer

Shakira played about 8 games

Step-by-step explanation:

Write an
explicit formula for an, the nth term of the sequence 24, 28, 32, ....

Answers

Answer:

Given the sequence 20, 24, 28, 32, 36, . . . find the 60th term.

------

nth term pattern: a(n) = 20 + (n-1)4

60th term: a(60) = 20 + 59*4 = 256

Step-by-step explanation:

Y/4 =3 how do I answer pls

Answers

Answer:

y = 12

Step-by-step explanation:

John’s Rectangle is _____ units long.

John’s Rectangle is _____ units wide.

The area of John’s rectangle is ____ units^2.

Answers

Answer:

John's rectangle is 4 units long

John's rectangle is [tex]3\frac{1}{2}[/tex] units long

The area of John's rectangle is 14 units^2

Step-by-step explanation:

A rectangle has four sides that comprise of two pairs of equal length sides

The side which is the longest side of a rectangle is known as the length, L, of the rectangle

The side which is the shortest side of a rectangle is known as the width, W of the rectangle

Based on the given measurement, the length of the given rectangle which is the length of longest side of the rectangle, which is the 4 units length side

Therefore;

∴ John's Rectangle is L = 4 units long

the width of the given rectangle which is the length of shortest side of the rectangle, which is the side with lengths 3 units and 1/2 units length side

∴ The length of the shortest side of the rectangle, W = 3 units + 1/2 units = 3 1/2 units

∴ John's rectangle is W = [tex]3\frac{1}{2}[/tex] units wide

The area of John's rectangle, A = L × W

∴ The area of John's rectangle, A = 4 units × [tex]3\frac{1}{2}[/tex] units = 14 units².

Question 1: The sum of two consecutive multiples of 5 is 55. Find these multiples. Question 2: The present age of Sahil's mother is three times the present age of Sahil. After5 years their ages will add to 66 years. Find the present ages. Question 3: The perimeter of a rectangle is 13 cm and its width is 2- cm. Find its length.

Answers

Answer:

1] Two consecutive multiples = 50,55. 2] Sahil , Mother current age = 13,42 3] Length of rectangle = 4.5  

Step-by-step explanation:

1] Let one multiple of 5 be = n. As there are two consecutive multiples, other multiple = n + 1. Given : sum of two consecutive multiples of 5 is 55

So, 5n + 5(n+1) = 55

5n + 5n + 5 = 55 ; 10n + 5 = 55 ; 10n = 50 - 5 = 50 ; n = 50 / 10 ; n = 5

n  {One multiple} = 5 ; Other multiple {n+1} = 5 + 1 = 6

2] Let present age of Sahil be = x. So, present age of Sahil mother = 3x

5 years hence : (x+5) + (3x+5) = 66  {Equation 1}

Solving Eq 1} : x + 5 + 3x + 5 = 66 ; 4x + 10 = 66 ; 4x = 66 - 10 ; 4x = 56

x = 56/4 ; x = 14 {Sahil Current Age}. Mother current age = 3x = 3 x 14 = 42

3] Perimeter of rectangle = 2 (Length + Width). Perimeter = 13 , Width = 2.

So, 13 = 2 (L +2) ; 13 = 2L + 4 ; 2L = 13 - 4 = 9 ; L = 9/2 ; Length = 4.5

A 12 ft ladder leans against the side of a house the bottom of the ladder is 7 fr from the side of the house how high is the top of the ground if neccessary round your answer to the nearest tenth

Answers

Answer:

9.7 ft

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2

7^2+b^2=12^2

49+b^2=144

b^2=95

b=9.74679434 or 9.7 ft

I'LL GIVE BRAINLIEST
If $3500 is invested at an interest rate of 2.9%, compounded quarterly, how much will the investment be worth after 8 years?

(equation to use in picture)

Answers

Answer:

$4,410

Step-by-step explanation:

help can you guys help me ill like eany coment and the answer

Answers

Answer:

The first step is false because the tub was not higher at 10:14 than at 10:01, The second box is true, because it is staying the same. The Third box is most likely true. The forth one is false , as there is a decline at 10:20 and the last one I am pretty sure is true also.

Solve each equation. Show your thinking.

a. 5x-10=30

b. 3x+8=21

Answers

Add ten from both sides and then divide 40 of 5x its 8
B subtract 8 from both sides 13 divide by 3 answer is 13/3

Answer:

A) X = 8

B) X = 4.3 or 13/3

Step-by-step explanation:

A) 5x - 10 = 30

(add ten to both sides)

    5x = 40

(divide by 5 on both sides)

    x = 8

B) 3x + 8 = 21

(subtract 8 to both sides)

    3x = 13

(divide by 3 on both sides)

    x = 4.3 or 13/3

Hope this helped!

need this asapppp pleaseeeeeeeeeeeeeee

Answers

Answer:

D

Step-by-step explanation:

They both share a line/arm, and have the same vertex meaning they are exactly side by side like very close.

the Answer is c (the are opposite and equal) because they are opposite but they are equal

Find the solution set of the inequality 3- x5 > -2

I have been attempting this question for awhile and would like someone to give me an exact answer. Ill give a decent bit of points. Here is the question copy and pasted from the quiz (its glitched a fair bit) Find the solution set of the inequality 3-\frac{x}{5}\geq

-23−

5x​

≥−2.


Answers

Answer:

In <STU, the measure of <U=90°, TS = 73, SU = 55, and UT = 48. What ratio

represents the sine of <S? what would this be?

Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and inches tall. What was the volume of each cup?

Answers

Answer:

47.14 in³

Step-by-step explanation:

Here is the complete question

Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and 5 inches tall. What was the volume of each cup?

Volume of a cone = [tex]\frac{1}{3}[/tex]πr²h

π = 22/7

Radius = diameter / 2 = 6 /2 = 3 inches

(1/3) x (3^2) x (22/7) x 5  = 47.14 in³

Is it possible for the line segments of a triangle to be 6 cm, 7 cm, and 12 cm in length?

Yes or No? And why?

Answers

Answer:

Yes because sum of 2 line segment is greater than the third side

Step-by-step explanation:

State study on labor reported that one-third of full-time teachers in the state also worked part-time at another job. For those teachers, the average number of hours worked per week at the part-time job was 13. After an increase in state teacher salaries, a random sample of 400 teachers who worked part-time at another job was selected. The average number of hours worked per week at the part-time job for the teachers in the sample was 12.5 with a standard deviation of 6.5 hours. Is there convincing statistical evidence, at the level of α=0.05, that the average number of hours worked per week at part-time jobs decreased after the salary increase?
(A) No. The p-value of the appropriate test is greater than 0.05.
(B) No. The p-value of the appropriate test is less than 0.05.
(C) Yes. The p-value of the appropriate test is greater than 0.05.
(D) Yes. The p-value of the appropriate test is less than 0.05.
(E) Not enough information is given to determine whether there is convincing statistical evidence
answer a show work, please

Answers

Answer:

B - No. The p-value of the appropriate test is less than 0.05

Step-by-step explanation:

I found it online in some answer key pdf

From the solution to the question that we have here, the answer is A. There is no convincing evidence that the hours worked decreased after the increase in salary.

The hypothesis formulation

H0: u = 13

H1: u < 13

sample size n = 400

bar x = 12.5

mean = 13

How to solve for the t test statistics

[tex]t = \frac{x-u}{s/\sqrt{n} } \\\\t = \frac{12.5-13}{6.5/\sqrt{400} } \\[/tex]

= -1.5388

degree of freedom: 400 -1 = 399

∝ = 0.05

Find the p value

p(t < -1.5385)

= 0.062

The p value is greater than the level of significance. We therefore fail to reject the null hypothesis.

Read more on statistics here:

https://brainly.com/question/19243813

Solve x + 7.8 = 11.9 for x.

Answers

Answer:

4.1

Step-by-step explanation:

X+ 7.8 = 11.9

X= 11.9 - 7.8

X= 4.1

Answer:

x = 4.1

Step-by-step explanation:

To solve for x, subtract 7.8 from both sides of  x + 7.8 = 11.9:

x + 7.8 - 7.8 = 11.9 - 7.8, or

x = 4.1

Helpp!!

Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotient.

Answers

Answer:

6

Step-by-step explanation:

HELP ME PLEASE DON'T UNDERSTAND THIS AS WELL

Answers

Answer:

angle 78 corresponds with 1 and it also alternate s with 3. they are all equal in the first one

How many solutions does this system have?
y=3/4x-5
-3x+4y=-20
O one
O two
an infinite number
O no solution

Answers

Answer:

Infinite number

Step-by-step explanation:

perpendicular sides mean plz

Answers

Answer:

lines that will never touch

Step-by-step explanation:

these are lines that you could keep drawing and they will never cross or touch

ABCD is a quadrilateral work out angle x

Answers

Answer:

Step-by-step explanation:

BD = 10CM

sin(b) = (sin(29)/10) x 13

X = 39.06cm

Does anyone know what 9x*3x/4 is?

Answers

Answer and Step-by-step explanation:

We are given the expression [tex]\frac{9x * 3x}{4}[/tex].

First, we need to multiply 9x by 3x. This results us with [tex]27x^2[/tex].

[tex]\frac{27x^2}{4}[/tex] -- This is the final expression simplified. There isn't anything else we can do this expression, as it is not factorable and can't be simplified any further.

#teamtrees #PAW (Plant And Water)

If the measurement of angle 3 is 120 degrees, what is the measurement of angle 5?

Answers

I wish I can help but I’m bad at this sorry!

Miss Tillman wanted to cover a box and yellow paper if the box is 5 feet tall 5 feet wide and 4 feet long how much paper does she need

Answers

Answer:10

Step-by-step explanation:

A square has an area of 24 square inches. What is the length of the side of the square to the nearest tenth?​

Answers

Answer:

4.9 sq inches

Step-by-step explanation:

the side of the square = √24 = 4.9 sq. inches

4.9 inches is the answer

help me asap please!!!!!

Answers

Answer:

It's C.

Step-by-step explanation:

The area of a triangle is base times height times 1/2. The base times the height of that triangle is 66. 66 times 1/2 is 33. So, the correct answer is C.

Answer:

66 cm

Step-by-step explanation

11cm x 6 cm= 66cm

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