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kaheart [24]
3 years ago
11

A triangular prism is shown. A cylinder is cut out of the center of the prism. The triangular base has side lengths of 14 and 10

units. The heights of both the cylinder and prism are 8 units. The cylinder has a diameter of 5 units. Which expression represents the volume, in cubic units, of the shaded region of the composite figure?
Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

bogdanovich [222]3 years ago
8 0

Answer:

One-half(14)(10)(8) – π(2.52)(8)

Step-by-step explanation:

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Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 2(m∠Y) − 60°. Find m∠Y.
hodyreva [135]

Answer:

m∠Y=50°

Step-by-step explanation:

So, we know that ∠S+∠Y=90 and that m∠S=2(m∠Y)-60.

If you plug those things into the equation, you get (2[m∠Y]-60)+m∠Y=90.

Then you multiply 2 and m∠Y: 2m∠Y-60+m∠Y=90.

Combine like terms: 3m∠Y-60=90.

Then you add 60 to both sides: 3m∠Y=150

Divide 3 on both sides: 3∠Y=50

7 0
3 years ago
Multiply............
ZanzabumX [31]
Hey there!

In order to multiply these polynomials together, you will take both terms of the first polynomial and multiply them by each term in the second polynomial. You can then combine any like terms to get your final answer. 

(2x² – 5x)(4x² – 12x + 10)

2x² × 4x² = 8x⁴
2x² × –12x = –24x³
2x² × 10 = 20x²

–5x × 4x² = –20x³
–5x × –12x = 60x²
–5x × 10 = –50x

Write all of these terms together. You can rearrange the similar ones to be next to each other. 

8x⁴ – 24x³ – 20x³ + 20x² + 60x² – 50x

Just add or subtract the terms to simplify, if they can be.

8x⁴ – 44x³ + 80x² – 50x

(8x⁴ – 44x³ + 80x² – 50x) will be your final answer. 

Hope this helped you out! :-)
8 0
3 years ago
Read 2 more answers
At a grocery store, an uncooked beef roast is on sale for $4.99/lb. At the same store, prepared roast beef is at the deli for $2
Mrrafil [7]
For us to find out how many times more expensive is the deli roast compared to the uncooked roast we need to change the units;
cost of 100g=0.221lb is $2.99
cost of 1 lb will therefore be:
1/0.221*2.99
=$13.53/lb
therefore the number of times more expensive the deli roast is compared to uncooked roast is:
[price of 1lb roasted meat]/[price of 1 lb uncooked meat]
=13.53/4.99
=2.7 times
6 0
3 years ago
A teacher wants to build a scale model of the Earth and Pluto to compare their sizes. The Earth has a diameter of approximately
koban [17]

Answer:

B

Step-by-step explanation:

A scale model means that the ratios stay the same.

Therefore, Earth's diameter divided by Pluto's diameter is equal to the ratio of Earth's model's diameter divided by Pluto's model's diameter.

We can write this as

8000 / 1500 = 32/ Pluto's model's diameter. Representing Pluto's model's diameter as P, we can say

8000 / 1500 = 32 / P

multiply both sides by 1500 to remove a denominator

8000 = 32 * 1500 / P

multiply both sides by P to remove the other denominator

8000 * P = 32 * 1500

divide both sides by 8000 to isolate the P

P = 32 * 1500/8000

= 6 inches

3 0
3 years ago
Bank a charges a $35 monthly fee for a checking account debit card with the limited train fashion bank b charges a $15 monthly f
amid [387]

Total charges from bank A exists $15.

Total charges on Bank B spending exists $45.

<h3>How to estimate the Total charges on bank B?</h3>

Given: Bank A charges a $15 monthly fee for a checking account and debit card, with unlimited transactions.

Shade 25 transactions.

Total charges from bank A = $15 monthly

Bank B charged a $35 monthly fee for a checking account and debit card, plus $ 0.70 for each transaction.

She made 25 transactions.

Total charges on bank B = $35 + (0.40)25

Total charges on bank B = $35+10

Total charges on bank B = $45

To learn more about Total charges on the bank refer to:

brainly.com/question/17226704

#SPJ4

4 0
2 years ago
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