The diagram shows a right-angled triangle and a parallelogram.
24 cm side of triangle
30 cm base of parallelogram
7cm base of triangle

The area of the parallelogram is 5 times the area of the triangle.
The perpendicular height of the parallelogram is hcm.
(b) Find the value of h.

The Diagram Shows A Right-angled Triangle And A Parallelogram.24 Cm Side Of Triangle30 Cm Base Of Parallelogram7cm

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

i know this is very late but ..

area of triangle= b*h/2

24*7/2=84

and it said the parallelogram is 5 times the area so we do

84*5=420 which is the total area of the parallelogram

now to find h we need to do

420/30=14

h=14 because 30*14=420

Answer 2

The required value of h is 14 cm for the given parallelogram.

What is Parallelogram?

A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

The area of the triangle is (247)/2 = 84 square cm.

Since the area of the parallelogram is 5 times the area of the triangle, the area of the parallelogram is 845 = 420 square cm.

The area of the parallelogram is equal to the base (30 cm) multiplied by the height (h cm), so we can set up the equation:

30h = 420

To find the value of h, we can divide both sides of the equation by 30:

h = 420/30

h = 14 cm

Thus, the required value of h is 14 cm.

Learn more about parallelograms here:

brainly.com/question/11220936

#SPJ2


Related Questions

Simplify to create an equivalent expression.
2(3y + 6) -3 (-4 - y)​

Answers

Step-by-step explanation:

6y+12+12+3y

=9y+24

=3(3y+8)

will mark brainliest answer for fastest answer given

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Answer:1/8

Step-by-step explanation:

there are 8 slices and its asking for the probability of one number. so its 1 out of 8

Answer: 1/4

Step-by-step explanation:

3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.

2/8 = 1/4

Need help ASAP. WILL MARK BRAINLIEST.

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Answer:

5pi

Step-by-step explanation:

HELP!!!!! due in 5 or 10 minutes!!!



Caleb has a cube with an edge length of
3 inches. Emma has a cube whose volume is
27 times as great as the volume of Caleb's
cube.
What is the length of Emma's cube?

Answers

Answer:

The answer is 9.

Step-by-step explanation:

Caleb's cube has a volume of 27 inches cubed.

27 x 27 = 729

729 has a cube root of 9.

You want to put $8,000 in a simple interest account. It has a 2% annual interest rate. How long must you invest that money to earn $400 in interest? CLEAR CHECK 2.5 years 5 years 10 years 0 years

Answers

Answer:

2.5 years

Step-by-step explanation:

Interest= P×R×T÷100

T= 100I÷P×R

T= 100×400÷8000×2

T= 40000÷16000

T= 5÷2

T= 2.5 years

A spinner with seven equal sized sections was used to play a game It was used 250 times in the first game Of those 250 the arrow landed on section 7 a total of 35 times The same spinner was used 150 times in the second game How many times did the spinner most likely land on section 7 in the second game A. 14 B. 21 C. 30 D. 35

Answers

Answer: 21

Step-by-step explanation:

From the question, a spinner with seven equal sized sections was used in playing a game. The spinner was used 250 times in the first game and the arrow landed on section 7 a total of 35 times. This can be expressed as:

= 35/250

= 0.14

The same spinner was also used 150 times in the second game. The number of times the spinner will most likely land on section 7 in the second game will be:

= 0.14 × 150

= 21

The spinner most likely land on section 7 in the second game for 21 times.

Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 72.2 inches. The length of the frame is 20.3 20.3 inches. Write an equation to find the width of the frame, x

Answers

Answer:

[tex] P = 2x+2y[/tex]   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

[tex] P-2y = 2x[/tex]

[tex] \frac{P-2y}{2} =x[/tex]

And replacing we got:

[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in[/tex]

And the width for this case would be 15.8 in

Step-by-step explanation:

For this case we know that the photo is rectangular. Let's define:

x = the width,  y= the length

And we know that the perimeter is given by:

[tex] P = 2x+2y[/tex]   (1)

And we know that the lenght is y = 20.3. If we solve for x from equation (1) we got:

[tex] P-2y = 2x[/tex]

[tex] \frac{P-2y}{2} =x[/tex]

And replacing we got:

[tex] x = \frac{72.2 in -2*20.3 in}{2}= 15.8 in [/tex]

And the width for this case would be 15.8 in

can net worth be negative?

Answers

Answer:

our net worth can tell you many things. If the figure is negative, it means you owe more than you own. If the number is positive, you own more than you owe. ... Negative net worth does not necessarily indicate that you are financially irresponsible; it just means that – right now – you have more liabilities than assets

Step-by-step explanation:

hope it help

Yes, of course.  A good fraction of the people on earth owe more than they own, so have negative net worth.  

In the USA about 14% of the households have negative net worth.  I would have guessed that credit card debt was the culprit, but it's mostly student loans that drag folks into this category.

If x∥y, m∠1=120°, and m∠7=45°, find the measure of each missing angle.

Answers

Answer:15

Step-by-step explanation:because we will 180-(120+45)

Qasim and Alejandra both earn $15 an hour at their job. This week Alejandra worked three hours more than Qasim. If h represents the number of hours Qasim worked, and in total they earned $195, how many hours did each person work?

Answers

Answer:

Alejandra worked 8 hours and Qasim worked 5

Step-by-step explanation:

195/15 is 13. They worked 13 hours in total. 8 is 3 more than 5 and together they equal 13.

does any of yall know the answer to this shat?

Answers

Answer:

s=2

Step-by-step explanation:

subtract 21 from both sides= -3s=-6

divide by -3 to get s alone

s=2

s = 2

Step-by-step explanation:

subtract 21 to both sides

-3s= -6

then divide by -3 both sides to isolate  s variable

s= 2

3. Nine books are to be bought by a student. Some
cost $6 each and the remainder cost $6.50 each.
If the total amount spent was $56, how many
books at each price are bought?​

Answers

Answer:grjjrd

Step-by-step explanation:fdfgdjj

Anderson's Nursery was choosing between two different greenhouses. 2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters. Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters. Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters. Which statements are true about the greenhouses? Select two options.

Answers

Question:

Anderson’s Nursery was choosing between two different greenhouses.

2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.

Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.

Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.

Which statements are true about the greenhouses? Select two options.

A) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

D) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

E) The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.

Answer:

Options B & C are correct.

Step-by-step explanation:

Given that both greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.

L = 12 m

w = 12 m

h = 10 m

To find the volume of this rectangular prism, let's use the formula:

V = w*h*l

V = 12 * 12 * 10

V = 1440 m³

Then, greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.

b = 12 x 12

h = 8

The volume of a square pyramid formula is:

V = ⅓*a²h

V = ⅓*12²*8

V = 384 m³

To find the total volume of greenhouse 1, let's add the volume of the rectangular prism and the square pyramid.

V = 12*12*10 + ⅓*12²*8

V = 1440 + 384 = 1824m³

Therefore, the space inside greenhouse 1 is 1824m³

Similarly, greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.

b = 12 m

h = 8 m

height of prism = 12 m

To find the volume of a triangular prism, we have:

½*(bh) * h

V = ½(12*8)*12

V = 576 m³

To find the total volume of greenhouse 2, let's add the volume of the rectangular prism and the triangular prism.

V = (12 * 12 * 10) + (½(12*8)*12)

V = 1440 + 576

V = 2016 m³

Therefore, the space inside greenhouse 2 is 2016m³

From the calculations above the correct options would be:

(B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

(C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

Options A, D and E are wrong.

Option E is wrong because the space inside greenhouse 1 is (1824-2016 = -192) 192 meters cubed lesser than the space inside greenhouse 2.

Answer:

THE ANSWERS ARE.... B AND C

B: The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).

C: The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).

Step-by-step explanation:

i just took it on EDGE 2020. I hope it helps :)

what is the y-intercept of the equation y=-x?

Answers

Answer:

0,0

Step-by-step explanation:

a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm

Answers

Answer:

area=250.12. perimeter=3380

Step-by-step explanation:

Heyy anybodyy help me please!

Answers

Answer: They are both tesselate shapes

Step-by-step explanation: The only shapes that can tesselate are the square, the equilateral triangle, and the hexagon. On this problem, it includes the equilateral triangle and the square, so therefore both of them are able to tesselate

Which is the best reason why 4 5/6+2 4/6 not equal to eight

Answers

Answer:

I want brainliest >:)

Step-by-step explanation:

4 5/6 + 2 4/6 = 6 9/6 = 7 3/6 = 7 1/2 or 7.5

not 8!!!

if you can help with any of these two or both that would be great ! :)
thanks

Answers

Answer:

hmmm not sure

Step-by-step explanation:

try mulitply the numbers

Find the midpoint of the segment with the following endpoints (6,3) and (10, – 7)

Answers

Answer:

-5/2

Step-by-step explanation:

-7-3/10-6 = -10/4 which equals -5/2

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

circumference is diameter x pi

radius + radius = diameter

11+11=22

22 x pi = 69.11503837897545

If you just use 3.14

3.14 x 22 = 69.08

Step-by-step explanation:

What is the 14th term in the sequence 6n + 1

Answers

Answer:

85

Step-by-step explanation:

6(14)+1=

84+1=

85

Hope this helps! please mark brainliest :)

Matt wants to purchase 3.5 pounds of Swiss cheese for a party. Each pound costs $4.95. How much will Matt pay for the Swiss cheese, rounded to the nearest whole cent?

Answers

Answer:

$17.33

Step-by-step explanation:

3.5×4.95

=17.325

= $17.33

was da answer people?

Answers

Answer:

39 homes

Step-by-step explanation:

The fraction of people having computers is

13/20

Multiply by the number of homes

13/20 * 60

13 * 60/20

13*3

39

39 homes

Answer:

39 Computers

Step-by-step explanation:

i never really understood how everyone does these types of question so i just do them my own way:

60/20 = 3  

13*3 = 39

ʕ•ᴥ•ʔ  (dats a bear)

Is -20.33 rational or irrational?

Answers

Answer:

No it is irrational (looked at it wrong)

How milliliters will there be?

Answers

Answer: Conver 9.7 liters into milliliters!

Me: Ok

                                                                  Can Yo explain: You

Me: multiply the volume value by 1000

Me: is 9700

                                                                 Wow Thanks! Goodbye! :You

Me: I am smarter!

Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 20% deposit prior to the date of the event. If the deposit has been paid, how much is still owed for Molly's party?

Party Prices
• Food & Drink $300
• Game Tokens $125
• Other $85

Answers

Answer:

408$

Step-by-step explanation:

What are opposite numbers

Answers

Answer:

Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides/opposite directions

Answer:

Opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0, the identity element of addition. The opposite number for n is written as −n. For example, −7 is opposite to 7, because with −7+7=0

You can say that the opposite number of a number, is the negative version of the positive number. This is what the opposite of 7 is or the opposite of -7.

X+2y>10

1.(1,3)
2.(2,0)
3.(1,1)
4.(5,3)

Answers

Answer:

very easy just compensate using the first number for x and the other for y

let's try 5 for x and 3 for y

5+2*3=11>10 so it's the answer

4.(5,3)

What is the circumference of the circle? Use 3.14 for pi r=6.4 cm circle

Answers

So the right answer is of option B.

Look at the attached picture

Hope it will be helpful to you..

Good luck for your test...

Solve for the height (h) of this triangular prism if the volume is 1080. The

volume of a triangular prism is V = (B)(h), where B is the area of the

triangle. Remember the area of a triangle is 1/2(b)(h). BE CAREFUL

BECAUSE THERE ARE TWO HEIGHTS, ONE FOR THE TRIANGLE AND ONE

FOR THE TRIANGULAR PRISM. *

h

15

8

Answers

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

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