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3 years ago

What is the surface area of the triangular prism?

Mathematics

1 answer:

Anna71 [15]3 years ago

6 0

Answer:

72 ft²

Step-by-step explanation:

Calculate the area of each face and then sum them.

area of base = 4 × 5 = 20 ft²

area of back = 5 × 3 = 15 ft²

area of sloping face = 5 × 5 = 25 ft²

area of 2 triangular faces = 2 × $\frac{1}{2}$ × 4 × 3 = 4 × 3 = 12 ft²

Thus

surface area = 20 + 15 + 25 + 12 = 72 ft²

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3. Jessica is awake 2/3 of the day. She spends 5/8 of this time at home

ruslelena [56]

Answer: a. 5/12 b. 10 hours

Step-by-step explanation:

5/8 x 2/3 = 10/24 = 5/12

she spends 5/12 of the day awake at home

if a day has 24 hours then 5/12 of that is 5/12 x 24 = 10

so she spends 10 hours awake at home

7 0

3 years ago

Factor completely. vwx + wxy - xyz

Elan Coil [88]

<span> vwx + wxy - xyz
=</span> x(vw + wy - yz)

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3 years ago

Read 2 more answers

On a blueprint, the length of a wall is 5 centimeters. If the actual length of the wall is 15 feet, what is the scale of the blu

Yuri [45]

Answer:

1 cm = 3 feet.

Step-by-step explanation:

Divide 15 by 5 to get 3; on the blueprint, every centimeter represents 3 feet.

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3 years ago

To the nearest cent what is $89.95 DVD player 5% discount

KiRa [710]

89.95 x 0.05 (5%)
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8 0

3 years ago

If 4 Maths books are selected from 6 different Maths different English books, how many ways can the seven om Maths books and 3 E

alexgriva [62]

Answer:

Please see the answer below

Step-by-step explanation:

a. Since there’s no restrictions .Therefore , the number of ways = 7!*150 = 756000

b. The number of ways such that the 4 math books remain together

The pattern is as follows: MMMMEEE, EMMMMEE, EEMMMME, and EEEMMMM

Where M = Math’s Book and E= English Book.

Number of ways = 4!*8!*4*150= 86400 ways.

c. The number of ways such that math book is at the beginning of the shelf

The number of ways = 6!*4*150 = 432000

d. The number of ways such that math and English books alternate

The number of ways = 150*4!*3! =2160 ways

e. The number of ways such that math is at the beginning and an English book is in the middle of the shelf. The number of ways = 4*3*5!*150 =216000 ways.

6 0

3 years ago