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Murljashka [212]
2 years ago
5

A octagonal pyramid has a base with area of 225 sq in, and a height of 20 in. What is its volume?

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
4 0

Answer:

5,400

Step-by-step explanation:

225 / 2 = 112.5

112.5 x 2 = 225

225 x 20 = 5,400

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Find the area of a trapezium whose parallel sides are 28.7 cm and 22.3 cm and distance between parallel sides is 16 cm.
puteri [66]

Given:

The parallel sides of a trapezium are 28.7 cm and 22.3 cm.

The distance between parallel sides is 16 cm.

To find:

The area of a trapezium.

Solution:

The area of the trapezium is:

A=\dfrac{a+b}{2}h

Where, a,b are parallel sides and h is the vertical distance between the parallel sides.

Putting a=28.7, b=22.3,h=16 in the above formula, we get

A=\dfrac{28.7+22.3}{2}\times(16)

A=\dfrac{51}{2}\times 16

A=51\times 8

A=408

Therefore, the area of the trapezium is 408 square cm.

4 0
3 years ago
Susie has a bag with 8 hair pins, 6 pencils, 3 snacks, and 5 books. What is the ratio of books to pencils?
Tasya [4]

Answer:

D) 5/8

Step-by-step explanation:

Since Susie has 5 books and 8 hair pins, you get 5:8 which can be transferred into a fraction of 5/8.

7 0
3 years ago
7. 60% of 90<br> Find the percent of the quantity
NeTakaya

Answer:

54

Step-by-step explanation:

60% of 90 = 60/100 × 90

= 0.6 × 90

= 54

Therefore, 60% of 90 is 54.

4 0
3 years ago
Simplify the following expression.<br><br><br> A. <br><br> B. <br><br> C. <br><br> D.
Dahasolnce [82]

Answer:

D

Step-by-step explanation:

Let's start by crossing everything out!

12/3 can be crossed out to 4.

a^3/a^2 can be crossed out to a.

b^6/b^4 can be crossed out into b^2.

c^5/c^5 is just 1.

So which the results we got, we can multiply them, so that it is 4ab^2.

4ab^2 is our final answer!

5 0
2 years ago
Brian invests £600 into his bank account. He receives 3.2% per year compound interest. How much will Brian have after 6 years? G
Ivahew [28]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = £600

r = 3.2% = 3.2/100 = 0.32

n = 1 because it was compounded once in a year.

t = 6 years

Therefore,.

A = 600(1 + 0.032/1)^1 × 6

A = 600(1.032)^6

A = £724.82

8 0
3 years ago
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