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3 years ago

In the 1980s, Earth had about five months of very hot weather. In the 1990s, Earth had about

Mathematics

1 answer:

otez555 [7]3 years ago

5 0

Answer:

340%

Step-by-step explanation:

1980s = 5 months of very hot weather

1990s = 22 months of very hot weather

What is the percent increase in hot weather months from the

1980s to the 1990s?

Percent increase = (22 months - 5 months) / 5 months × 100

= 17 / 5 × 100

= 3.4 × 100

= 340%

Percent increase in hot weather months from the 1980s to the 1990s is 340%

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A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism

sdas [7]

Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

$5^2+12^2=13^2$

$25+144=169$

$169=169$

So, the base of the prism is a right triangle.

Area of a triangle is

$Area=\dfrac{1}{2}\times base \times height$

$A_1=\dfrac{1}{2}\times 5\times 12$

$A_1=30$

The area of the base is equal to the area of the top, i.e., $A_2=30$ sq units.

Perimeter of the base is

$P=5+12+13$

$P=30$

The curved surface area of the prism is

$CSA=\text{Perimeter of the base}\times \text{Height of the prism}$

$CSA=30\times 7.5$

$CSA=225$

Now, the total area of the prism is

$A=A_1+A_2+CSA$

$A=30+30+225$

$A=285$

Therefore, the total surface area of the triangular prism is 285 square units.

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3 years ago

Simplify by combining like terms: 9x - 3y -5x + 2y -x + 2

UNO [17]

Answer:

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Step-by-step explanation:

9x-5x-x-3y+2y=-2

3x-y=-2

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Mila [183]

Answer:

Step-by-step explanation:

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