Determine the radius of the circle below.

Determine The Radius Of The Circle Below.

Answers

Answer 1

Answer:

r = 22.629

Step-by-step explanation:

Using the Pythagorean theorem:

(35 + r)² = 53² + r²

1225 + 70r + r²  = 2809 + r²

subtract r² from each side of the equation:

1225 + 70r = 2809

subtract 1225 from each side:

70r = 1584

r = 22.629


Related Questions

Which linear function is graphed on the grid?
a - g(x) = 2/15x - 6
b - g(x) = 2/15x + 45
c - g(x) = 15/2x - 6
d - g(x) = 15/2x + 45

Answers

Answer:

G(x)=2/15x-6

Step-by-step explanation:

The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

From the graph, the x-intercept is - 6, and the y-intercept is 45. Then the equation is given as,

x/(-6) + y/45 = 1

- 15x + 2y = 90

y = (15/2) x + 45

g(x) = (15/2) x + 45

The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The answer choices are 11 1 2.48 6

Answers

Answer:

The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]

Now factor out the coefficient of the quadratic term:

[tex]h(t)=-5(t^2 -2t) + 6[/tex]

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]

Now take the balancing term out of the parenthesis:

[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]

Simplify:

[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

[tex](1, 11)[/tex]

What is the domain of the function y=2/x-5

Answers

Hey there is no real answer

Determine which is the graph of the given function.
-0.57+ 5 if x <1
=
-0.5(x + 5) if x 1

Answers

The answer is b hope it helps

what is x? plz help :)

Answers

Answer:

13

Step-by-step explanation:

using the Pythagorean theorem  a²+b²=c²

or the two shorter sides square added together equal the longest side squared

5²+12²

5²=25

12²=144

144+25=169

then we just have to take the square root of 169

√169=12

have a great day :D

What is the area of a triangle that has a height of 6 ft and a base length of 7 feet?

Answers

Answer: 21ft

Step-by-step explanation:

Answer:

the area of triangle is height ×base

6×7=42

i think this is the answer

help me pleaseeeeeeeeee​

Answers

Answer:

The diameter is related because it helps find the circumference.

(8.64 × 10^6) × (1.334 × 10^10)

Answers

Answer:

8.64x1.334x10^16

11.52576x10^16

What is the equation of the midline of the graph of y=2cos(x/4)−3

Answers

Answer:

y = -3

Step-by-step explanation:

y=2cos(x/4)−3

range of cos α : -1 ≤ cos α ≤ 1

-2 ≤ 2cos(x/4) ≤ 2

-5 ≤ 2cos(x/4)−3 ≤ -1       (-2-3= -5 and 2-3= -1) ....Range ( 2 x Amplitude)

midline: midline of y = -1 and y = -5        y = -3

A triangle has sides with lengths of 20 centimeters, 48 centimeters, and 54 centimeters. Is the triangle a right triangle?

Answers

48 20 and 54 it going to make it all together it’s just 128

Please help I’m struggling

Answers

ANSWERS:
m=4

m=18

j=38

n=5

hope this helps!

Answer this question to get marked as brainliest!!!!!

Answers

Answer:

A) 80 degrees

Step-by-step explanation:

100-20=80

1.What is the principal which would amount to $6 900 in 3 years at 5% simple interest per annum?Required to answer. Single choice.

(1 Point)

a.) $6 885

b.) $6 555

c.) $6 000

d.) $5 865​

Answers

Answer:

c

Step-by-step explanation:

I just looked up the question

You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost of a student ticket. Find the cost of an adult ticket.

Answers

Answer:

$11 and $16

Step-by-step explanation:

let x be the cost of a student ticket then an adult ticket is x + 5 , then

3x + 7(x + 5) = 145 , that is

3x + 7x + 35 = 145

10x + 35 = 145 ( subtract 35 from both sides )

10x = 110 ( divide both sides by 10 )

x = 11

Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16

Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Evan need to invest, to the nearest ten dollars, for the value of the account to reach $67,000 in 7 years?

Answers

Answer:

43720

Step-by-step explanation:

It was right on delta math

find the missing side length labeled with a ? mark.

Answers

Answer: 10

Step-by-step explanation:

Since the lines are parallel, the triangles are congruent. This means their side lengths are an equal ratio!

6 + 6 : 20 = 6 : ?

12:20 = 6:?

12:20 = 6:10

Answer is 10

What is the formula for total surface area of
cylinders?

Thanks in advance

Answers

Answer:

For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.

Step-by-step explanation:

Mr Jones bought a snowboard. The 6% sales tax on the snowboard was $32.50. What was the total cost including the sales tax? (rounded to nearest cent)

Answers

Answer: $574

Step-by-step explanation:

First we need to calculate the price of the snowboard before the addition of the tax. This will be represented by x. Therefore,

6% of x = $32.50

0.06 × x = $32.50

0.06x = $32.50

x = $32.50 / 0.06

x = $541.67

Therefore, the total cost including the sales tax will be:

= $541.67 + $32.50

= $574.17

= $574

Write an equation of the line in slope-intercept form. (0,2) (3,3) ​

Answers

i dont see an image

Step-by-step explanation:

Answer: y = 1/3x +2

Step-by-step explanation:

The slope-intercept form of an equation looks like this:

y=mx+b

The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.

We have the two points you entered, so let's start by getting the slope. (1/3)

Now that we have the slope, we can plug it into our equation: y = 1/3x+b

To get b, our y-intercept, we just need to plug in one of the points you entered and solve. Now that we have both our m and b values, we can plug them in to get our equation: Y= 1/3x+2

Hope it helps.

Write the equation(y=mx) for the line that contains the points (6,6) and (10,14). No picture

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

14-6/10-6 = 8/4 = 2 = slope

6 = 2(6) + b

6 = 12 + b

b = -6

The points (-7, -1) and (r, 1) lie on a line with slope 1/4
Find the missing coordinater.
r =

Answers

Answer:

r = 1

Step-by-step explanation:

Find the missing x-coordinate r.

Use the point-slope formula y - k = m(x - h).  We are given the point (-7, -1) on the line and the slope of the line 1/4, and so this general formula becomes

y + 1 = (1/4)(x + 7)

Now substitute the coordinates of the other point (r, 1) to solve for r:

1 + 1 = (1/4)(r + 7)

Multiplying both sides by 4 eliminates the fractional coefficient:

8 = r + 7

It is readily apparent that r must be 1.

Check:  If r = 1, then (r, 1) becomes (1, 1).  use the point-slope formula again, this time to see if we are correctly predicting the r value 1:

y + 1 = (1/4)(x + 7)  becomes 1 + 1 = (1/4)(r + 7), or

2 = (1/4)(r + 7).  Multiplying both sides by 4, we get 8 = r + 7, and so r = 1.

A triangular sail has a base length of 3 meters. The area of the sail is 12 square meters. How tall is the sail

Answers

Answer: 4

Step-by-step explanation: Length times width times height so you have to do 12 divided by 3 and you get 4

the answer would be four

Is 17/34 and 32/64 proportional why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

Both equals to 1/2

That's the answer

Find the value of x! First person to correctly respond gets brainliest!!

Answers

Answer:

180-33 = 147

Step-by-step explanation:

What factor is represented by the yellow shading in the model? [Hint: Include the overlapping area.]

Answers

Answer:

[tex]Fracton = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The fraction of yellow

From the attached image:

[tex]Yellow = 5[/tex]

[tex]Total = 30[/tex]

So, the fraction is:

[tex]Fracton = \frac{Yellow}{Total}[/tex]

[tex]Fracton = \frac{5}{30}[/tex]

Divide by 5/5

[tex]Fracton = \frac{1}{6}[/tex]

Answer: 4/5

Step-by-step explanation:

THIS IS 16 POINTS PLEASE HELP

Answers

Answer:

C) $540

Step-by-step explanation:

180 + (120 x 0.20)(15) = $540

Answer:

C. 540

Step-by-step explanation:

120 × 15

=1800

1800 × 20%

=360

360 + 180

= 540

What is 23x9+37-213+(5x12)

Answers

Answer: 91

is that a x or multiply?

what is ratio?
what is rote?
write each of ffg ratio in its simplest form . first make the units the same in each case

a)90 sec to 7min
b)48min to 3hours
c)2,5 days to 80hours
d)3 800mm to 3m
e)2,5 to 7am
f)5 300m to 2,5km​

Answers

Answer:

a) 3 : 14

b) 4 : 15

c) 3: 4

d) 19 : 15

e) 53 : 25

Step-by-step explanation:

a)90 sec to 7min

We convert 7 mins to seconds

1 minute = 60 seconds

7 minutes = x seconds

Cross Multiply

x = 7 × 60 seconds = 420 seconds

Hence,

Our ratio is

90 seconds : 420 seconds

Divide both sit by 30

= 3 : 14

b)48min to 3hours

We convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x minutes

Cross Multiply

x = 3 × 60 minutes = 180 minutes

Hence,

Our ratio is

48 minutes : 180 minutes

Divide both sides by 12

4 : 15

c)2.5 days to 80hours.

We are converting 2.5 days to hours

1 day = 24 hours

2.5 days = x

Cross Multiply

x = 2.5 × 24 hours = 60 hours

Hence,our ratio

60 hours : 80 hours

Divide both sides by 20

3: 4

d)3 800mm to 3m

We convert 3 m to mm

1 m = 1000 mm

3 m = x mm

Cross Multiply

x mm = 3 × 1000 mm

x mm = 3000mm

Hence, ratio is

3800 mm : 3000mm

Divide both sides by 200

19 : 15

e)5300m to 2.5km​

We convert km to m

1 km = 1000 m

2.5 km = x m

Cross Multiply

x m = 2.5 × 1000m

x = 2500m

Hence, our ratio

5300m : 2500m

Divide both sides by 100

53 : 25

i need help with my last two questions:)

Answers

Answer:

5. (a)

6. (b)

I am hoping that this will help you

Find the missing sides of each triangle. Leave your answers in radical form

Answers

Answer:

youbhave give me more information.

Answer:

incomplete question

please write the whole question or diagram of the question

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