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Damm [24]
3 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]3 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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3 years ago
Plzzzzz help me on this and explain
Galina-37 [17]
The Answers are B and C
Its B because 12 is MORE than twice as much as M. Meaning 140 is larger than 2*m
Its C because again it is MORE than twice as much as M. Meaning that 140 is larger than 2m.

Answers;B,C
Hope this helped!
7 0
3 years ago
Find the additive inverse of 7/10
11111nata11111 [884]

\huge\fbox{Hi~there!}

Remember, a number's additive inverse is simply its opposite.

Let's say we have a number a.

The opposite of a is -a, and the opposite of -a is a.

Thus, the additive inverse of

\displaystyle\frac{7}{10} is

\displaystyle-\frac{7}{10}

Hope it helps.

~Just a felicitous girl

#HaveAnAmazingDay

Feel free to ask if you have any doubts.

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5 0
2 years ago
Root 2+ root 32+ root 64​
Savatey [412]

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's simplify step-by-step.

root^2 + root^{32} + root^{64}

= o^2 rt^2 + o^2 rt^{32} + o^2 rt^{64}

Answer : \boxed{o^2 rt^2 + o^2 rt^{32} + o^2 rt^{64}}

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

6 0
3 years ago
A spider ate 25% more bugs this month then last month the spider ate 8 bugs last month
Ierofanga [76]

In this month spider ate 10 bugs.

Step-by-step explanation:

Given,

The spider ate 25% more bugs than last month.

It ate 8 bugs in last month.

To find the number of bugs it ate this month.

<u>Solution</u>

It ate more bugs = 8×25%

=8×\frac{25}{100} = 2

In this month it ate = 8+2 = 10 bugs.

7 0
3 years ago
Read 2 more answers
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