In the diagram, point K is a point of tangency, MK = 720, and MN = 648. What is the radius of J

A. 76
B. 70
C. 72
D. 64

Answers

Answer 1
The answer to the question is A.
Answer 2

The radius of J is 76. so option A is correct.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

By applying Pythagoras theorem In right triangle,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(720 + J)² = (648)² + J²

518400+ J² + 1440J = 419904 + J²

1440J = 518400- 419904

J = 76

Therefore, J = 76 units is the answer.

Learn more about Pythagoras theorem;

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Related Questions

Write the word sentence as an inequality.

A number y is less than 6.

Answers

Answer:

y - 6

Step-by-step explanation:

y is the number and  it is less than 6 so 6 has to be negative:

y - 6

Y< 6 because less than represents the less than sign. Hope this helps:)

Identify the measure of the angle indicated.
76
х
The value of 2 that makes lines a and b parallel is

Answers

Answer:

x = 76°

Step-by-step explanation:

76° and x are alternative interior angles, so they are congruent when lines a and b are parallel

What happens to light when it strikes a smooth shiny surface?

Answers

Step-by-step explanation:

Light reflects from a smooth surface at the same angle as it hits the surface. For a smooth surface, reflected light rays travel in the same direction. This is called specular reflection. For a rough surface, reflected light rays scatter in all directions.

Answer:

When light strikes an object, its rays can be either absorbed or reflected. A solid black object absorbs almost all light, while a shiny smooth surface, such as a mirror, reflects almost all light back. When reflected off a flat mirror, light bounces off at an angle equal to the angle it struck the object.

Step-by-step explanation:

40
in.
in?
What is the area of this trapezoid?
b2 = 5 in.
h = 4 in.
2 in.
3 in.
b = 10 in.

Answers

The area of the trapezoid is 30

S5=7+7x^(5)+7x5^(2)+7x5^(3)+7x5^(4)

Answers

Answer:7

+

7

(

5

)

+

7

5

(

2

)

+

7

5

(

3

)

+

7

5

(

4

)

Step-by-step explanation:

Answer: 5473+7x^5

Step-by-step explanation:

Try Photo Math! Gives step by step explanations!

Hope this helps!!

Given the figure below, find the values of x and z.

Answers

Answer: Z = 83

X = 7

Step-by-step explanation:

Z = 83 because the opposite side is also 83 and they are the same angle. X = 7 because the whole thing equals 360 and 83 +83 = 166 and 360 - 166 = 194 and 194 divided by 2 equals 97 and 15 x 7 - 8 = 97 and the other side is also the same because the angles are the same

There is a sale on jeans where you will get 20% off the original price. If the jeans cost $65, how much will you SPEND on the jeans?

plzzzz answer

Answers

Multiply 65 by .2 and then take that number and subtract it from the original 65. So it would be 65 - 13 = 52

6,6 and 7 units down and 5 units left where is t'

Answers

Answer:

it's 1,-1

Step-by-step explanation:

hoped I helped. I'm good at these.

Find the total surface area.

Answers

Answer:

42.33+49.8

Step-by-step explanation:

add sides man i think

Answer:

Step-by-step explanation:

Based on the graph below, what is the domain and range of the function?

Answers

Answer:

The f(x) domain is the set of all values for the function and the function spectrum is the set of all values for which f is defined.

Step-by-step explanation:

Answer:

Domain = all real numbers

Range = y ≥ -4

Step-by-step explanation:

Domain is the x-values, and for parabolas it is almost always all real numbers.

Range is the y-values, and the lowest it gets is -4.

A tub contained 80 gallons
of water. The water drained from
the tub at a rate of 5 gallons every 4
minutes. At this rate, how many
minutes did it take
for all the water to
drain from the tub?

Answers

Answer:

its 64 because 4x16= 64

Step-by-step explanation:

Suppose () = 1/8 for 0 ≤ ≤ 4 for x being a continuous random variable Is () a probability density function? Prove or disprove.

Answers

Answer:

The expected value of x ; E(x) = 1

Step-by-step explanation:

F(x) = 1/8 for 0 ≤ x ≤ 4

To prove that it is a probability density function we will find E(x )

attached below is the required prove

It is proven that F(x) = 1/8 for 0 ≤ x ≤ 4 is  probability density function

The expected value of X = 1

WORTH 25 POINTS! HELP PLZZZZZZ

Answers

Answer:

I pretty sure its A

Step-by-step explanation:

Answer:

The answer on the top, 32 * __ = 3616

Step-by-step explanation:

3616/32 = __

multiply by 32

3616 = 32 * __ or 32 * __ = 3616

what is x - (14x-4) + 12 = 6x + 32

Answers

Answer:

x=  -16/19

Step-by-step explanation:

x−14x+4+12=6x+32

−13x+16=6x+32

16=6x+32+13x

16=19x+32

16−32=19x

−16=19x

-16/19=x

 

1. Find the coordinates of the center and the measure of the radius for a circle whose equation is
(x - 8) + (y + 4) = 12

Answers

Answer:

the center of this circle is (8, -4) and the radius is 2√3.

Step-by-step explanation:

Compare this equation

(x - 8) + (y + 4) = 12      Don't forget to type in the " ^ " symbol to indicate exponentiation.

(x - 8)^2 + (y + 4)^2 = 12

to the standard equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - k)^2 = r^2

In this way we learn that h = 8, k = -4 and r^2 = 12 (or r = 2√3).

Then the center of this circle is (8, -4) and the radius is 2√3.

a) Rearrange the following formula to make x the subject.
Give your answer in its simplest form.
4(2x - 3y) = y + 5
+

Answers

Answer:

x = 13y + 0.625

Step-by-step explanation:

4(2x - 3y) = y + 5

8x - 12y = y + 5

8x = y + 5 + 12y

8x = 5 + 13y

8x ÷ 8 = 5 + 13y ÷ 8

x = 5 + 13y ÷ 8

x= 13y + 5 ÷8

x = 13y + 0.625

John is cutting 3 wooden sticks to build part of a kite frame. The part he is building must be a right triangle.
Select all the possible lengths, in inches, of the sticks John could cut to make a right triangle.
A. 6, 8, 10
B. 2, 5, 10
C. 2, 3, 5
D. 12, 16, 20
E. 3, 4, 13

Answers

Answer:

I found 2 answers for this one

Step-by-step explanation:

B- 2,5,10

D-12,16,20

The possible length in inches of the stick that will make a right angle triangle are as follows

6, 8, 1012, 16, 20

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees.

The right angle triangle must obeys the Pythagorean theorem.

c² = a² + b²

where

c = hypotenusea and b are the other legs.

Therefore, the sides that makes a right angle are as follows:

6, 8 , 10 : 6² + 8² = 10²

12, 16, 20 : 12² + 16² = 20²

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A rectangle has a width of 8cm and a length given by the expression 2n +3. What is the correct expression to find the area of the rectangle?

Answers

Answer:

16n + 24

Step-by-step explanation:

Area of a rectangle= Length × width

= (2n+3) × 8

= 16n + 24

BRAINLY TO WHOEVER HELPS AND GETS IT RIGHT

~no links pls~

Answers

Answer: A

Step-by-step explanation:

Answer is A. 25

Step by step explanation

Let hypotenuse be h
h^2=24^2+7^2
h^2=625
h=25

Can someone help me on this

Answers

Answer:

Y = 10 I believe

Step-by-step explanation:

To solve this we need to find what number, times 6, equals 18 - it's fairly easy to find the answer is three.

So what, minus seven, equals 3?

Simplify 4(3n + 2b + k)
a. 12nbk
b. 12n + 2bk
c. 12n + 8b + 4k
d. 24bkn

Answers

Answer:

C

Step-by-step explanation:

4(3n+2b+k)

12n+8b+4k

So it would be C.

---

hope it helps

IVE BEEN STUCK ON THIS FOR AN HOUR PLEASE HELP WHAT IS 9.85714285714 X 7

Answers

Answer:

69

Step-by-step explanation:

lol

A cylindrical gas tank holds approximately 401.92 cubic feet of fuel. The radius of the tank is 4 feet. Find the height of the tank in feet. Use 3.14 for π. PLEASE HURRY I NEED THIS

Answers

Answer:

8 ft

Step-by-step explanation:

Given:

Volume = 401.92

radius = 4 feet

Volume of cylinder: [tex]\pi[/tex]r^2h

3.14 * 4^2 * h = 401.92 cubic feet

3.14 * 16 * h = 401.92 cubic feet

50.24 * h = 401.92

h = 8 ft

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

pi, and square root of 2

I don't think you're ACTUALLY going to give me brainliest

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet

Answers

Complete question :

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.

Answer:

17

Step-by-step explanation:

From Pythagoras :

Hypotenus = sqrt(opposite² + adjacent²)

From the diagram

l = sqrt((l-9)² + 15²)

l² = (l² - 18x + 81 + 225)

Square both sides

l² = l² - 18x + 306

l² - l² = 306 - 18x

18l = 306

l = 306/18

l = 17

Kai's mom gave him $25 to spend at the book fair. Kai wants to buy as many books as he can. The
cost of each book is $3. He also wants to buy one poster for $2. Write an inequality to show how
many books he can buy. Highlight your inequality in green. Then,solve the inequality

Answers

Answer:

7 books

Step-by-step explanation:

i cant write it in an equaction but basically 25 - 2 = 23

then 3 x 7 = 21 so he can only buy 7 books and he'll have 2 dollars left

3x + 2 = 25. x= 7

3x +2 =25
-2 -2
23
3x = 23


23 divided by 3 = 7

What’s the opposite of -5/8

Answers

The opposite of -5/8 is 5/8.
It’s 5/8, |-5/8| = 5/8

Help me please I will give points

NO FAKE ANSWERS

Answers

Answer: 2,3,4

Step-by-step explanation:

Apple’s is represented by 8 and oranges is represented by 5. So the ratio 8:5 means every 8 apples their are 5 oranges

Evaluate x-2 for x=-3

Answers

-3-2= -5

Put in -3 in x

Answer:

-5

Step-by-step explanation:

Rewrite x - 2 as -3 - 2, which comes out to -5.

Round 4,368 to the nearest ten

Answers

Answer:

4,370

Step-by-step explanation:

.....just round the tenths place (6) up sense 8 is above 5 it rounds up so

4,370

sorry for bad explanation

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