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Sergeeva-Olga [200]
3 years ago
12

6. a semicircle has as its diameter the hypotenuse of a right triangle shown below. determine the area of the semicircle to the

nearest tenth of a square centimeter. show how you arrived at your answer.
Mathematics
1 answer:
jeyben [28]3 years ago
7 0

Answer:

A = 137.3cm^2

Step-by-step explanation:

Given

See attachment

Required

The area of the semicircle

First, we calculate the hypotenuse (h) of the triangle

Considering only the triangle, we have:

\cos(68) = \frac{7}{h} --- cosine formula

Make h the subject

h = \frac{7}{\cos(68)}

h = \frac{7}{0.3746}

h = 18.7

The area of the semicircle is then calculated as:

A = \frac{\pi h^2}{8}

This gives:

A = \frac{3.14 * 18.7^2}{8}

A = \frac{1098.03}{8}

A = 137.3cm^2

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100.53

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If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?
serg [7]

Answer: 3x-2

Step-by-step explanation:

My explanation is if you were to write this down, i drew "J", "K", "L", and "M" down from left to write on a line w/ points and then i wrote that " J M " = 5 x - 8, and that " L M " = 2 x - 6, and then subtracted ( 5 x - 8 ) by ( 2 x - 6 ) which would look like this:

                           ( 5 x - 8 ) - ( 2 x - 6 )

The reason i subtracted the total length of the entire number line is because the length of " L M " is part of the total length so you would have to subtract in order to find " J L " because then you wouldn't have to have " L M ". The correct answer is "3 x - 2"

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With no air resistance, the time, t, it takes an object to fall h feet, can be determined by the equation t = square root of h/4
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Answer:

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Step-by-step explanation:

We can solve the given relation for h:

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Putting t=25 into this formula, we get ...

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3 years ago
Help I don’t get it ???????
Fittoniya [83]
Answer ∠DEG: 54°
Answer ∠GEF: 36°


Step 1: Write your equation

This question is asking you to determine the measurement of two angles. To begin, you must first solve for x. By looking at ∠DEH, you can see that these angles should equal 90°, since ∠DEF is equal to ∠DEH. Let’s solve for x by writing an equation using the information above. Add the two given angles and equal them to 90 degrees.

6x+4x=90

Step 2: Solve for x

To find the degrees we must first solve our created equation. We need to combine like terms then divide to get x alone.

6x+4x=90
10x=90
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Step 3: Substitute x to find the degree of each angle

The last step will be the most simple. Substitute x into each angle to solve.

6x= 6(9) = 54°
∠DEG= 54°

4x= 4(9)= 36°
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These are your answers! You can check that they are right by adding them, and ensuring that they equal 90°.

Hope this helps! Comment below for more questions.
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