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Goryan [66]
3 years ago
7

Find the length of the hypotenuse of a right triangle whose legs measure 6 and 5

Mathematics
1 answer:
Pavel [41]3 years ago
6 0
A right triangle is a type of triangle which contains a right triangle. To be a right triangle, it should satisfy the Pythagorean Theorem which relates the three sides of the triangle. In this triangle, the longest side is called as the hypotenuse. To determine the hypotenuse, we use the Pythagorean Theorem which is expressed as follows:

c^2 = a^2 + b^2

where c is the hypotenuse

We calculate as follows:

c^2 = a^2 + b^2
c^2 = 6^2 + 5^2
c^2 = 61
c = √61

Therefore, the hypotenuse of the right triangle with sides 6 and 5 would be √61 which, clearly, is longer than the two sides.
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Answer:

The multiplicative inverse of y is - 1/y

Step-by-step explanation:

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3 years ago
Pleaseee someone help me :( Ive been stuck on this for an hour
Whitepunk [10]

Answer:

The number of times organism B's population is larger than organism A's population after 8 days is 32 times

Step-by-step explanation:

The population of organism A doubles every day, geometrically as follows

a, a·r, a·r²

Where;

r = 2

The population after 5 days, is therefore;

Pₐ₅ = = 32·a

The virus cuts the population in half for three days as follows;

The first of ta·2⁵ he three days = 32/2 = 16·a

The second of the three days = 16/2 = 8·a

After the third day, Pₐ = 8/2 = 8·a

The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;

P₈ =  a·2⁸ = 256·a

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Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.

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3 years ago
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3 years ago
Find the volume of this cylinder. Please help
algol13

Answer:

\boxed {\boxed {\sf 384 \ ft^3}}

Step-by-step explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

V= \pi r^2 h

Where:

  • r= radius
  • h= height

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

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Substitute the values into the formula.

V= (3)(4 \ ft)^2 (8 \ ft)

Solve the exponent.

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V= (3)(16 \ ft^2)(8 \ ft)

Multiply the three numbers together.

V= 48 \ ft^2 (8 \ ft)

V= 384 \ ft^3

The volume of the cylinder is approximately <u>384 cubic feet.</u>

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2 years ago
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