PLEASE HELP!!!!!

Find the radius of a circle using the Pythagorean theorem, given that the center is at (1, 5) and the point (5, 1) lies on the c

Assoli18 [71]

Given :

Center of circle, C = ( 1 , 5 )

Point on circle, P = ( 5 , 1 )

To Find :

The radius of a circle.

Solution :

We know, radius of circle is the distance between center and point of circle.

Distance between two points A(p,q) and B(r,s) is given by :

$D = \sqrt{(p-r)^2+(q-s)^2}$

So, distance between the points (1, 5) and (5, 1) is :

$D = \sqrt{(1-5)^2+(5-1)^2}\\\\D = 5.66 \ units$

Therefore, radius of circle is 5.66 units.

Hence, this is the required solution.

4 0

3 years ago

Spiral Review Hayden is attending a craft show. The cost of an admission ticket is $8. The cost of a raffle ticket for a handmad

LekaFEV [45]

Answer:

7

Step-by-step explanation:

$45- $8 = 37 (aka his raffle ticket spending money)

37÷5= 7, so the max # of raffle tickets he can buy is 7.

7 0

3 years ago

Can you check my answers and help with number 3?

mamaluj [8]

Answer: Question 1 :B,D.

Question 2:option B,

Question 3:Degree=5.

Question 4:option D.

Question 5: option c.

Step-by-step explanation:

1) A polynomial can not have any exponent as a variable or a fraction.

Options B and D are polynomials.

2) The polynomial is having 3 terms and is of degree 3.so it is a cubic trinomial Option B.

3) Degree is the highest power of the variables in the terms .The term $6x^{3} y^{2}$ has the power=3+2=5

So degree =5.

4) $(5x-2+3x^{2} )+(4x+3)=3x^{2} +5x+4x-2+3=3x^{2}+9x+1.$

Option D

5) $(5x^{2} +2x-5)-(3x^{2}+3x+1)= 5x^{2}+2x-5-3 x^{2}-3x-1$

Simplifying like terms,

= $2x^{2}-x-6.$

Option c.

6 0

3 years ago

A water tank is built in the form of a right rectangular prism, with dimensions that measure 13.4 ft by 8.7 ft by 7.5 ft. How ma

Alex17521 [72]

The volume of water that the rectangular prism will hold when it is full is: 874.35 ft³.

<h3>What is the Volume of Rectangular Prism?</h3>

Volume = length × width × height

Given:

Length = 13.4 ft
Width = 8.7 ft
Height = 7.5 ft

Thus:

Volume of water = 13.4 × 8.7 × 7.5

Volume of water = 874.35 ft³

Thus, the volume of water that the rectangular prism will hold when it is full is: 874.35 ft³.

Learn more about volume of rectangular prism on:

brainly.com/question/12917973

7 0

2 years ago

A radio talk show host asks listeners to call the radio station and give their opinions on a proposed new city ordinance. He use

vladimir1956 [14]

I would say that the best answer is actually that people who are not opposed to the new rule are less motivated to call than the people who are opposing it, who feel that they need to do something about it.

But this is not one of the options. Among the options, the best is:
A. The survey is voluntary and includes only listeners of this radio program.

3 0

3 years ago