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3 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

<u>Answer:</u>

The correct answer option is D. 58.

<u>Step-by-step explanation:</u>

We are given a right angled triangle with a known side length for perpendicular and base and we are to find the value of x (hypotenuse).

For that, we will use Pythagoras Theorem.

$x ^ 2 = 40 ^ 2 + 42 ^ 2$

$x ^ 2 = 1600 + 1764$

$x ^ 2 = 3364$

Taking square root on both sides to get:

$\sqrt { x ^ 2 } = \sqrt { 3364 }$

x = 58

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Find the domain and range of the relation if it is a

Mandarinka [93]

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3 years ago

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Paladinen [302]

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3 years ago

The lengths of the sides of a triangle are 11.25 inches, 9.25 inches, and 10.25 inches. What is the perimeter of the triangle?

solong [7]

Perimeter of the triangle is 30.75 inches.

Step-by-step explanation:

Step 1: Given sides of the triangle = 11.25 in, 9.25 in, 10.25 in

Step 2: Formula for perimeter of triangle = length of sides of the triangle
Step 3: Substitute in the formula

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3 years ago

A conical tent has a radius of 10.4 ft and a height of 8.4 ft. Doubling which dimensions will quadruple the volume of the tent?

avanturin [10]

Answer: Doubling the radius.

Step-by-step explanation:

The volume of a cone can be found with the following formula:

$V=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height of the cone.

Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.

Identifiying that:

$r=10.4\ ft\\\\h=8.4\ ft$

You get this volume:

$V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3$

If you double the radius, the volume of the conical tent will be:

$V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3$

When you divide both volumes, you get:

$\frac{3,805.70\ ft^3}{951.43\ ft^3}=4$

Therefore, doubling the radius will quadruple the volume of the tent.

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3 years ago

In the Olympics, how many possible ways can 12 biathletes be awarded the gold, silver and bronze medals?

Leya [2.2K]

Well if you look closley

you have: gold sivler bronze metals (thats 3 medals) divide that by 12 and you get 4 so each could get four medals each

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3 years ago