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GrogVix [38]
3 years ago
12

Calculate the volume and total surface area​

Mathematics
1 answer:
nikdorinn [45]3 years ago
6 0

Answer:

Below.

Step-by-step explanation:

a. Volume =  area of triangular side * length

1/2 * 3 * 4 * 8

= 48 cm^3.

Surface area =  2 * area of the triangle + area of sloping side+ area of the base + area of the back side

= 2 * 1/2 * 3*4 + 5*8 + 3*8 + 4*8

=  12 + 40 + 24 + 32

= 108 cm^2.

b.  Volume = area of the triangular side * length

= 1/2 * 5.0 * 5..0 * 8.2

= 12.5 * 8.2

= 102.5. cm^3.

Surface area = 2 * area of the triangle + 2 * area of a sloping side + area of the basee

=  2 * 1/2 * 5^2 + 2 * 5 * 8.2 +  8.2 * 7.1

= 25 + 82 + 58.22

= 165.22 cm^2.

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A rectangular garden has a length of 5x and a width of 6x + 15. If the perimeter of the garden is 250 m what is the value of X?
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Answer:

10

Step-by-step explanation:

8 0
2 years ago
Why using the order of operations is important.
Otrada [13]

Answer:

Simply: It makes sure you get the correct answer

Step-by-step explanation:

Using order of operations (pemdas) ensures you do the correct operations in the correct order. If not, then everyone could get loads of different answers for the same question. It provides order in the math world.

Hope this helps!

7 0
3 years ago
Nathan and Matt plan to paint a house. If Nathan works alone, it will take
Andreyy89
Nathan= 1/10 of the job per day

Matt= 1/15 of the job per day

3/30 + 2/30. =5/30

1/(5/30) = 30/5. Or 6 days for both working together.
5 0
3 years ago
horace is a professional hair stylist. let ccc represent the number of child haircuts and aaa represent the number of adult hair
Novay_Z [31]

He can give at most 2 adult haircuts with the remaining time

<h3>How many adult haircuts at most can he give with the remaining time? </h3>

The inequality is given as:

0.75C + 1.25A <= 7

Also, we have

C = 5

Substitute C = 5 in 0.75C + 1.25A <= 7

0.75 * 5 + 1.25A <= 7

Evaluate the product

3.75 + 1.25A <= 7

Evaluate the like terms

1.25A <= 3.25

Divide by 1.25

A <= 2.6

Rewrite as

A < 3

Hence, he can give at most 2 adult haircuts with the remaining time

Read more about inequalities at:

brainly.com/question/15010638

#SPJ1

<u>Complete question</u>

Horace is a professional hair stylist. Let C represent the number of child haircuts and A represent the number of adult haircuts that Horace can give within 7 hours. 0.75C + 1.25A <= 7

Horace gave 5 child haircuts.

How many adult haircuts at most can he give with the remaining time?

8 0
2 years ago
What is the equation of the circle with center (0, 0) that passes through the point (–4, –6)?
Vadim26 [7]

If the center is in point P(a,b) and has a radius r then circle equation is:

(x-a)²+(y-b)²=r².

In your task we've got P(0,0) so the circle equation is x²+y²=r².

We have to find r. Radius start at (0,0) and end at (-4,-6) therefore

r=√((-4)²+(-6)²) and

r²=(-4)²+(-6)²=16+36=52.

So answer is x²+y²=52.

4 0
2 years ago
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