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Damm [24]
2 years ago
7

A semicircle is inscribed in an isosceles triangle with base 16 and height 15 so that the

Mathematics
1 answer:
ira [324]2 years ago
8 0

Answer:

  7 1/17

Step-by-step explanation:

A figure can be helpful.

The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.

The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...

  BC² = BD² +CD²

  BC² = 8² +15² = 289

  BC = √289 = 17

The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...

  (long side)/(hypotenuse) = DE/BD = CD/BC

  DE = BD·CD/BC = 8·15/17

  DE = 7 1/17 ≈ 7.059

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The table shows how much money Edguardo earns as a golf coach. He charges a flat fee of $38, plus $22 per hour. Complete the tab
Vesnalui [34]
Let's re-read the statement and question, and then break it down.
He charges a flat fee of $38, plus $22 per hour.
A flat fee of $38 is only a one-time pay, and will never be paid for again.
This means if after two hours, we only add $38 once overall, never more.
Every hour that goes by, he earns $22 each hour.
Now that we've broken this down, we can make an equation.
Let's do 1 hour.
1(22) + 38 = 22 + 38, = 60.
For 1 hour he earns $60.
Let's do 2 hours.
2(22) + 38 = 44 + 38, = 82.
For 2 hours he earns $82.
Let's do 3 hours.
3(22) + 38 = 66 + 38, = 104.
For 3 hours he earns $104.
Let's do 4 hours.
4(22) + 38 = 88 + 38, = 126.
For 4 hours he earns $126.
This is a pattern.
Now let's do 8 hours, which is the main question, "How much does he make in 8 hours?".
8(22) + 38 = 176 + 38, = 214.
For 8 hours he earns $214.
I hope this helps!
4 0
3 years ago
Read 2 more answers
What is the first step in describing what figure results when a given plane intersects a given three dimensional figure?
kaheart [24]
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2 years ago
Identify each expression with a sum of x2 + 3x +1.
Yuki888 [10]

Answer:

There are no like terms.

Step-by-step explanation:

5 0
2 years ago
Guys Can you please help me with this math
Likurg_2 [28]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
If Chloe is 22 her sister Bethany is 23 but there mum is 21 how are they her children
gayaneshka [121]

Answer:

3

Step-by-step explanation:

I think it three sometimes it's a trick question  

so its not number one or 2 because how are they her children so the answer is 3

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2 years ago
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