The shortest distance from the center of the inscribed circle to the triangle's sides is the circle's _____.A. Circumference
B. radius
C. Incenter
D. Diameter

Answers

Answer 1
Answer:

Answer:

The shortest  distance from the center of  the  inscribed  circle to the  triangle's  sides is  the  circle's  radius


Step-by-step explanation:

Radius- is  a  line  from any  point  in the  circumference to the  center  of the circle. if they are two they are  known as   radii  and they  have the  equal  distance.

When you divide the   diameter by two you get the   radius.


Answer 2
Answer: Its Radius, so the answer is B. 

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The expected number of heads in 500 tosses of an unbiased coin is:

Can some one help me plz with step by step
x^2 - 12x + 35

Answers

Answer:

(x + 3)(5x + 2)

Step-by-step explanation:

{x}^(2)  - 12x + 35 \n  {x}^(2)  - 7x - 5x + 35 \n  = x(x  - 7) - 5(x - 7) \n  = (x - 7)(x - 5)

How to evaluate this function
F(x+5) using this expression:F(x)=3x-4

Answers

Answer: 3x+11

Step-by-step explanation:

f(x) = 3x - 4

f(x + 5) = 3(x + 5) - 4 = 3x + 15 - 4 = 3x + 11

What is the value of the underlined digit? 56.(1)23

Answers

The value of the underlined digit would be the tens place

How do the mouth and stomach play a role in mechanical digestion

Answers

the mouth breaks down food by chewing it and the saliva mixes it by making the carbohydrates into sugar. the stomach breaks down the food by breaking down bacteria and acids

Which of the following statements is true?

Answers

Answer:

option C is correct.

Step-by-step explanation:

Checking equation A

(9x^3 + 12x) + (16x^3 -4x+1)= 24x^3 +16x-1\n9x^3+16x^3+12x-4x+1=24x^3+16x-1\n25x^3+8x+1\neq 24x^3+16x-1

Checking equation B

(3x+2x^2-4)-(x^2+x-5)=2x+x^2-9\n3x-x+2x^2-x^2-4+5=2x+x^2-9\n2x+x^2+1\neq 2x+x^2-9

Checking equation C

(10x^3+2x^2-11)+(9x^2+2x-2)=10x^3+11x^2+2x-13\n10x^3+2x^2+9x^2+2x-11-2=10x^3+11x^2+2x-13\n10x^3+11x^2+2x-13=10x^3+11x^2+2x-13

Checking equation D

(-7x^2+12)-(5-4x^2)=11x^2-17\n-7x^2+4x^2+12-5=11x^2-17\n-3x^2+7\neq 11x^2-17

Hence, only option C is correct.

For the values a = 2.9 which is a leg of a right triangle, and value c = 4.2, which is the hypotenuse, find the length of the other leg, b, to the nearest tenth.A. 2.9

B. 3.0

C. 2.8

D. 1.3

Answers

Given:
a = 2.9
c = 4.2
b = ?

Right triangle. Use Pythagorean Theorem.
a² + b² = c²
b² = c² - a²
b² = 4.2² - 2.9²
b² = 17.64 - 8.41
b² = 9.23
b = √9.23
b = 3.04  Choice B.

The length of the other leg is 3.0
The right one is B) 3.0, as you know a^(2) + b^(2) = c^2 due to Pythagoras' theorem. So b= √(c^2 - a^2). Put the right numbers into the formula and you get 3.0. That is B.