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3 years ago

PLEASE HELP ASAP!!!!!

Mathematics

1 answer:

maksim [4K]3 years ago

3 0

Answer:

LM = LO

Explanation: In order to use the HL Theorem the triangles included must be right triangles and in this case they must have a congruent hypotenuse and in order for that, LM must be congruent to LO.

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The total surface area of a hemisphere is 45 <img src="https://tex.z-dn.net/?f=%5Cpi%5Cp" id="TexFormula1" title="\pi\p" alt=

rjkz [21]

Answer:

The volume of the hemisphere

V = 121.33086 cubic centimeter

Step-by-step explanation:

Step(i):-

Given that the total surface area of a hemisphere = 45π cm²

The total surface area of a hemisphere = 3π r²

Equating

3π r² = 45π

$r^{2} = \frac{45}{3} =15$

r = $\sqrt{15} = 3.87$

The radius of the sphere 'r' = 3.87

Step(ii):-

The volume of the hemisphere

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

$V = \frac{2}{3} \pi (3.87)^{3}$

we know that π = 3.14

$V = \frac{2}{3} (3.14) (3.87)^{3}$

V = 121.33086 cubic centimeter

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What is 3/16 of 200 written as a percentage

Georgia [21]

The expression 3/16 of 200 expression as a percentage is; 6.25%.

<h3>What is the value of 3/16 of 200 written as a percentage?</h3>

The value of the expression given in the task content can be evaluated as follows;

3/16 × 200 = 12.5

Hence, the value 12.5 expressed as a percentage of 200 is;

(12.5/200) × 100%.

= 6.25%.