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1 year ago

Find the volume of the triangular prism.10 cm12 cm8 cmVolume = [?] cm3

Mathematics

1 answer:

kondaur [170]1 year ago

4 0

Hello!

To find the volume of a triangular prism, we have to use the formula below:

$V=\frac{a\cdot b\cdot c}{2}$

• a, = triangle heigth (10 cm)

• b, = triangle base (8 cm)

• c, = prism heigth (12cm)

Knowing it, let's replace these values in the formula:

$V=\frac{10\cdot8\cdot12}{2}=\frac{960}{2}=480\operatorname{cm}^3$

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Match the vocab terms with the correct definition.

Anna007 [38]

7. compound events that that are not affected by other's outcomes

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3 years ago

Read 2 more answers

Jonathan took 33 pictures on the class trip and 67

Semenov [28]

Answer:

JONATHAN WILL NEED 14 PAGES.

Explanation:

33 + 67 = 100

100 - 12 = 88

88 ÷ 6 = 14.6666667

14.6666667 ⇒ 14

(Round 14.6666667 down to 14 because Johnathan does not have .6666667 of a page.)

3 0

3 years ago

A painter has 24 foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet fr

Lina20 [59]

To the nearest foot, it would be 23 feet. I found this using the Pythagorean Theorem of a (squared) + b (squared) = c (squared). If you have 24 as the hypotenuse, you have to square this and subtract 64 (8*8) from it. That will equal 512. So you have to find the square root of that which is 22.62, which will round to 23 feet.

5 0

4 years ago

The price of a fan is $15. This price is 27% lower than last week.

Goshia [24]

The price of fan was 20 Dollars 55 cents last week.

Step-by-step explanation:

Let,

The price last week = x

As the price is 27% lower than last week, therefore

(100%-27%) * Price last week = $15

73% * x = 15

Solving the percentage;

$\frac{73}{100}*x=15\\ Multiplying\ both\ sides\ by\ 100\\100*\frac{73x}{100} = 15*100\\73x=1500\\Dividing\ both\ sides\ by\ 73\\\frac{73x}{73} = \frac{1500}{73} \\x= 20.55$

The price of fan was 20 Dollars 55 cents last week.

Keywords: Percentage, multiplication.

Learn more about percentages at:

#LearnwithBrainly

5 0

3 years ago

Malliki Williams earned a $48,000 from royalties on her cookbook.She paid a 28% income tax on these royalties. The balance wasin

Nikitich [7]

Answer:

$20000 and $14560

Step-by-step explanation:

First, we need to get the total tax paid by Malliki Williams

To get that, we have to multiply her income tax (28%) by total royalties ($48000)

28% of $48000 = $13440

Balance after tax = $48000 - $13440

Balance = $34560

She invested some of the balance ($34560) at the rate of

3.25% ---- First investment

1.75% --- Second investment

Assume her first investment is x dollars

Definitely, her second investment would be $34560 - x

3.25% of x + 1.75% (34560 - x ) = 904.8

0.0325x + 0.0175(34560-x) = 904.8 ----- Open the bracket

0.0325x + 604.8x - 0.0175x = 904.8 ------ Collect like terms

0.0325x -0.0175x =904.8 - 604.8

0.015x = 300 ------ Divide both sides by 0.015

x = 300/0.015

x = 20000

Remember that x represents her first investment

Her second investment is $34560 - $20000 =$14560

4 0

3 years ago