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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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Find (x³+x²-20x+24) divided by (x-3)​
Rus_ich [418]

Answer:

\frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8

Step-by-step explanation:

Given;

p(x) = x³ + x²- 20x + 24

factor of p(x) = x-3

Apply long division method;

                 x² + 4x - 8

              ------------------------------

x - 3     √ x³ + x²- 20x + 24

             -( x³ - 3x²)

              -------------------------------

                      4x² - 20x + 24

                    -(4x²  -12x )

             -------------------------------

                               -8x  + 24

                             - (-8x  + 24)

              -----------------------------------------

                                       0

thus, \ \frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8

                       

3 0
3 years ago
Suppose that many large samples were taken from population A, which is normally distributed, and population c, which is not norm
OLEGan [10]

Answer:

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Step-by-step explanation:

Think about. If population A already known for normally distribution AND you take large samples. The rest would still be distributed, Which keeps population A a Normal Distribution.

but Population C is nor normally distributed, so if you take away large samples. it will deteriorate its distribution so it won't get any better or in this case, normal. so. it is Population A.

4 0
3 years ago
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Marrrta [24]

Answer:

h = -9

Step-by-step explanation:

Simplifying

5h + 22 + -2h = -5

Reorder the terms:

22 + 5h + -2h = -5

Combine like terms: 5h + -2h = 3h

22 + 3h = -5

Solving

22 + 3h = -5

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + -22 + 3h = -5 + -22

Combine like terms: 22 + -22 = 0

0 + 3h = -5 + -22

3h = -5 + -22

Combine like terms: -5 + -22 = -27

3h = -27

Divide each side by '3'.

h = -9

Simplifying

h = -9

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Question 2 (5 points)<br> The discriminant is zero. There will be 2 solutions.<br> True<br> False
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Answer:

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Step-by-step explanation:

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The slope
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