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^

-- XxFTSxX

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.

Learn more about the trapezoid here :

brainly.com/question/8643562

#SPJ2


Related Questions

For her science fair project, Emily
conducted an experiment to investigate
the effects of watering on tomato plants.
She varied the amount of water given to
the plants and measured each plant's
height after two weeks. Emily
hypothesized that the more water she
added, the taller her tomato plants would
be.
1. Was Emily's hypothesis correct? Explain
your answer.
2. According to Emily's data, what is the
optimal weekly amount of water for
tomato plant growth? Explain your answer.

Answers

Answer:1 yes it is correct because the more water you give a plant the helter it is

2 about 2 times a day

Step-by-step explanation:

simplify. -4x^2-5(x+3)+x^2​

Answers

-4x^2-5(x+3)+x^2 :

-4x^2-5x-15+x^2

-3x^2- 5x -15

helpppp plss, which ones are growth or decay​

Answers

Answer:

Decay

Decay

Growth

Decay

Decay

Growth

Step-by-step explanation:

Naman purchases 3 vases for an upcoming event for m dollars each. Each vase is charged an addition 5% sales tax. Which expressions can Naman use to express the total cost of the 3 vases? Select each correct answer. 3.05m 3(m+0.05m) 3.15m 3m + 0.05m

Answers

The two that have 0.05 in it

Dog food bad contains 18 cups to fill it up his friend dog eats 1 1/2 each day he says he'll be able to feed his dog for 27 days that true?

Answers

Answer:

It's not true because 18 cups will only last 12 days, not 27 days.

Step-by-step explanation:

1 1/2 = 3/2

3/2(27) = 40.5 cups

18 = 3/2c

c = 12

?/1 A box contains 5 red marbles and 7 green marbles. Find the probability of drawing a green marble and not returning it to the box and then drawing a red marble?

Answers

Answer: 35/132

Step-by-step explanation:

probability of drawing green marble: 7/12

since the green marble drawn won't be returned to the box, the new total amount of marbles in the box is 11.

probability of red marble: 5/11

then multiply the 7/12 and 5/11 together:

35/132 which is abut 26.5%

List in order from least to greatest: 0, |-4|, |12|, -7, 2

Answers

The answer is A bro, easy

Answer:

-7, 0, 2, |-4|, |12|

Step-by-step explanation:

absolute value (| |) means that the sign of the number is always positive

7b^2-63b+140 Factor the polynomial (show your work)

Answers

Answer:

7 (b - 5) (b- 4)

What is the domain in interval notation of the function graphed below? Note: As x is approaching -2, the graph is getting closer and closer to a line but not touching it.

Answers

Answer:

Step-by-step explanation:

x-values approach x = -2, but do not touch the vertical line x = -2.  All other x-values are permitted.  Thus, the domain is (-2, infinity).

What is the slope of the line given by the equation below? y + 2 = -3(x - 5)​

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Part A. Write the equation 5=10x−5y in slope-intercept form.

Part B. Identify the y-intercept.

Answers

Answer:

Part A: y=2x-1

Part B: -1

PART A:

slope intercept form is y=mx + b

5=10x-5y subtract 10 both sides
-10x+5=-5y divide -5 both sides
2x-1=y

slope intercept form is y=2x-1

PART B:

In slope intercept form (y=mx+b), the y intercept is always ‘b’ therefore using the new equation the y intercept= -1




At a team meeting, 80% of the tennis team was there. If there were 12
people at the meeting, how many
people are on the team?

Answers

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

Find the area I will mark the BRAINEST

Answers

Answer:

84 or 90 i say 90

Step-by-step explanation:

thses are the closest ones

Ms. Benson can pay $293.22 for her gym membership upfront, or she can pay the amount over a period of six months. How much would Ms. Benson pay each month for the sixth month period?​

Answers

Answer:

She would have to pay $48.87 a month for six months.

Step-by-step explanation:

293.22 ÷ 6 = 48.87

Answer:

$48.87

Step-by-step explanation:

For example, if it was a backruptcy we would need to get the principal amount using the simple interest formula.

Interest = Principal * interest rate * term

180 = P * 2% * 1

180 / 2% = P

9,000 = Principal

Benson pays an additional interest of  9,000 each year. Monthly payment of 750.

9,000 / 12 months = 750 per month.

But since we are just dividing the answer will be 293.22 ÷ 6 = 48.87

[PLEASE HELP ILL GIVE BRAINLIEST
PLEASE SHOW WORK

Answers

Could be a 16% error but I’m not positive

What's 1.485 times 27.7372862 I know this is easy but I lost my calculator and my assignment is due in 1 minute! If anyone can answer this fast that would really help! :)

Answers

Answer:

41.18987

Step-by-step explanation:

The answer is 41.189870007

my question is the picture​

Answers

Answer:

20 students

Step-by-step explanation:

You first have to add the number of students all up and you get 200.Then you do cross multiplication.

40/200 x s/100=

40x100= 4000=

200xs= 200s=

200s/200=

4000/200=

20=

i need a bit of help with this bc i’m literally not smart. no work needed, just an answer. i’ll give brainliest.

Answers

Answer:

1. y= -2

Step-by-step explanation:

i hope this helps :)

Answer:

option (3)

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, - 5 ) and (- 2, - 4) with x- coordinates - 2 , then

x = - 2 ← equation of line

HELPPPPPPPPPPPP PLEASEEEE

Answers

Answer:

H. 13.5 in²

Step-by-step explanation:

[tex]V=LWH/3[/tex]

[tex]V=(3)(3)(4.5)/3[/tex]

[tex]V=13.5 in^{2}[/tex]

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

hope it helps...

have a great day!!

A rectangle has an area of 30 square meters and a perimeter of 34 meters. What are the dimensions of the rectangle.

Answers

Answer:

15m times 2m

Step-by-step explanation:

I need some heeelp please

Answers

Answer:

Min:  3

Q1:  7

Med:  10

Q3:  13

Max:  16

Step-by-step explanation:

The answer is

Min: 3
Q1: 7
Med: 10
Q3: 13
Max :16

Write the equation of the line that passes throught the points (-1, 6) and (5, -4).

Answers

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!

O que é a forma canónica de uma função?

Answers

Answer:

Qualquer função booleana que é expressa como uma soma de mintermos ou como um produto de maxtermos é considerada em sua forma canônica. Para converter de uma forma canônica para outra, troque os símbolos Σ e Π e liste os números de índice que foram excluídos da forma original.

Step-by-step explanation:

espero que isto ajude

Você pode, por favor, marcar minha mente

 e tenha um ótimo dia:)

La ecuación de la recta que lasa a través de los puntos P1 (2,5) y P2 (4,11) es: a) 3x+y+1=0 b)3x-y-1=0 c) 3x-y+1=0

Answers

Respuesta:

3x-y-1 = 0

Explicación paso a paso:

La forma estándar de ecuación de una línea se expresa como y = mx + b

M es la pendiente

b es la intersección con el eje y

Dada la coordenada P1 (2,5) y P2 (4,11)

Pendiente m = y2-y1 / x2-x1

m = 11-5 / 4-2

m = 6/2

m = 3

Sustituya m = 3 y (2,5) en y = mx + b

5 = 3 (2) + b

5 = 6 + b

b = 5-6

b = -1

Obtén la ecuación

y = 3x-1

Igualar a cero

y - 3x +1 = 0

Multiplicar por -1

3x-y-1 = 0

Esto da la ecuación requerida

Look at the net of square pyramid below l. What is the surface area?

Answers

Answer:

SA = 72 cm²

Step-by-step explanation:

SA = (side x side of square base ) + (0.5BH x 4)

SA = (4 x 4 ) + (0.5 x 4 x 4 x 7) = 16 + 56 = 72 cm²

We need to solve for x and y, help please
3x + 6y = 18

Answers

Answer:

the answer is 2

Step-by-step explanation:

3(2)+6(2)=

6+12=18

The answer is 2, it’s 2 because 3x + 6y is just 6+12 which equals 18.

Which Equation Is equivalent To Log2y =x+7

Answers

Answer:

the second one

Step-by-step explanation:

Does (1, 10) make the inequality y < 8x + 2 true?

Answers

Answer:

This is false.  (1, 10) is not a solution of this inequality

Step-by-step explanation:

Copy down the inequality:

y < 8x + 2

Now substitute 10 for y and 1 for x:

10 < 8(1) + 2  or 10 < 8 + 2

This is false.  (1, 10) is not a solution of this inequality

Answer:

False is the answer.

Step-by-step explanation:

#I hope it help

A grab-bag contains 30 packages worth $.65 each, 10 packages $.60 cents each, and 15 packages worth $.30 each. What is the expected value if you have to pay $.50 to pick one package at random?

Answers

Answer:

Expected value of package = $0.04 (Approx.)

Step-by-step explanation:

Given:

30 packages at $0.65 each

10 packages at $0.60 each

15 packages at 0.30 each

Pick up price for random one = $0.50

Find:

Expected value of package

Computation:

Total cost of 30 package = 30 x 0.65

Total cost of 30 package = $19.5

Total cost of 10 package = 10 x 0.60

Total cost of 10 package = $6

Total cost of 15 package = 15 x 0.30

Total cost of 15 package = $4.5

Total cost = 19.5 + 6 + 4.5

Total cost = $30

Cost of random package = 30 / [30+10+15]

Cost of random package = $0.54

Expected value of package = 0.54 - 0.50

Expected value of package = $0.04 (Approx.)

Drag the dot to plot (-5, -9), and then select its location on the coordinate plane.

Answers

Hope this helps!!!!!!!!
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