1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Find the arithmetic of the numbers 109, 113, 56, 87, 39, 68, 116, 79, 111, 91, 78, 121, 56
kvasek [131]
56 would be your answer because it’s the lowest number
8 0
2 years ago
Round 18.194 to the place named tenth hundred ones
Novay_Z [31]

tenth place: 18.2

hundredth place: 18.19

one place: 18

tens place: 20

hundred place: 0

I didn't know which one you needed so I did a bunch

6 0
3 years ago
What is the recursive formula of the arithmetic sequence 0,11,22,33,
ArbitrLikvidat [17]

Answer:

f(1)=0

f(x+1)=f(x)+11

7 0
3 years ago
A shipping company charges based on calculations of the volume of a rectangular box and the sum of the dimensions of the box. A
Allushta [10]

Answer:

A shipping company charges based on calculations of the volume of a rectangular box and the sum of the dimensions of the box. A square rectangular...

Step-by-step explanation:

7 0
3 years ago
A student on a piano stool rotates freely with an angular speed of 2.85 rev/s . The student holds a 1.50 kg mass in each outstre
Vlad1618 [11]

Answer:r'=0.327 m

Step-by-step explanation:

Given

N=2.85 rev/s

angular velocity \omega =2\pi N=17.90 rad/s

mass of objects m=1.5 kg

distance of objects from stool r_1=0.789 m

Combined moment of inertia of stool and student =5.53 kg.m^2

Now student pull off his hands so as to increase its speed to 3.60 rev/s

\omega _2=2\pi N_2

\omega _2=2\pi 3.6=22.62 rad/s

Initial moment of inertia of two masses I_0=2mr_^2

I_0=2\times 1.5\times (0.789)^2=1.867

After Pulling off hands so that r' is the distance of masses from stool

I_0'=2\times 1.5\times (r')^2

Conserving angular momentum

I_1\omega =I_2\omega _2

(5.53+1.867)\cdot 17.90=(5.53+I_o')\cdot 22.62

I_0'=1.397\times 0.791

I_0'=5.851

5.53+2\times 1.5\times (r')^2=5.851

2\times 1.5\times (r')^2=0.321

r'^2=0.107009

r'=0.327 m

7 0
3 years ago
Other questions:
  • Person A knows all the people that live in town Q, amf Person B lives in Town Q. WHICH of the following must be a true statement
    13·1 answer
  • Consider the diagram
    9·2 answers
  • Naomi‘s fish is 40 mL long her guinea pig is 25 cm long how much longer is a guinea pig than her fish
    13·1 answer
  • X+ =4+2y=5 solve this​
    14·2 answers
  • Which expression is equal?
    12·2 answers
  • Marvin wrote down all of the numbers from 1 to 100. How many times did the digit 8 appear in Marvins's list?
    9·1 answer
  • (From workbook MATH 8A)​
    11·1 answer
  • Find 7th term of a sequence if the nth term is given by 3n-11​
    6·1 answer
  • 20 points and I will mark brainlyist to the first right answer.
    14·1 answer
  • Suppose that the functions f and g are defined for all real numbers x as follows. f(x) = 4x-1 g(x) = 3x write the expressions fo
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!