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3 years ago

Gabriel owns 27 books and 23 non fiction books. If 8 books fit on each shelf, how many shelves does he need for all his books?

1 answer:

3 0

4 shelves the first three shelves can hold 8 books each and the fourth shelf has 3 books on that shelf so altogether 4 shelves for 27 books

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Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

7 0

2 years ago

Express .32 as a fraction

nikdorinn [45]

Answer: 8/25

Step-by-step explanation: Using the place value chart, we can see that the decimal 0.32 is thirty-two hundredths so we can write 0.32 as 32/100.

Since 32/100 is not in lowest terms, we divide both the numerator and the denominator by 4 and we get the equivalent fraction 8/25.

This means that 0.32 can be written as the fraction 8/25 which is in lowest terms.

4 0

3 years ago

Which is the mode of this data?<br><br> 12, 19, 22, 17, 15, 18, 15, 14, 16

Snezhnost [94]

Answer: 15
REMEMBER: The mode is the value that appears most frequently in a data set.

4 0

3 years ago

#1. WILL REWARD BRAINLIEST

Gemiola [76]

c is the answer for 1'

6 0

3 years ago

Andrea ordered a computer on the internet The computer cost $1500, and the tax was

anastassius [24]

Answer:

1612.5

Step-by-step explanation:

1500 x7.5% = 112.5

112.5 +1500 = 1612.5

4 0

3 years ago

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