The radius of a sphere with a surface area of 64

Answer:

3 units

Step-by-step explanation:

Equation of the circle is:

[tex] (x+3)^2 +(y+1)^2=r^2 [/tex]

[tex] \therefore [x-(-3)] ^2 +[(y-(-1)] ^2=r^2 [/tex]

Equating it with

[tex] (x-h)^2 +(y-k)^2=r^2 [/tex]

We find: h = - 3 & k = - 1

Center of the circle (C) = (-3, - 1)

Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.

Therefore,

[tex] r = \sqrt{[-3-(-3)]^2 +[2-(-1)]^2} [/tex]

[tex] r = \sqrt{[-3+3]^2 +[2+1]^2} [/tex]

[tex] r = \sqrt{[0]^2 +[3]^2} [/tex]

[tex] r = \sqrt{0 +9} [/tex]

[tex] r = \sqrt{9} [/tex]

[tex] r = 3\: units [/tex]

Answer:

549.5 cm³

Step-by-step explanation:

___________________________________________________________

FORMULA USED IN THE QUESTION :-

Volume of a cylinder whose height is 'h' and radius is 'r' = [tex]\pi \times r^2 \times h[/tex]

___________________________________________________________

According to the question ,

Height of cylinder (h) = 7 cm

Radius of cylinder (r) = 5 cm

Volume of cylinder = [tex]\pi \times 5^2 \times 7 = 3.14 \times 25 \times 7 = 549.5 \: cm^3[/tex]

Answer:

Interest = $161.70

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 980

r = 0.055

t = 3

Work:

I = Prt

I = 980(0.055)(3)

I = 53.9(3)

I = 161.7

Answer:

no es primo

Step-by-step explanation:

El 14 es un número compuesto. Es divisible por 1, por 2, por 7 y por 14.

Answer:

well the answer is 120

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer:

10.2*6.3=64.26

Step-by-step explanation:

Solve 102*63, then move the decimal point two numbers from the right:

Since 102*63=6426, then moving the decimal point two numbers from the right will mean 10.2*6.3=64.26

Answer:

64.26

Step-by-step explanation:

This is a simple multiplication

When you 'multiply' or 'times' even a product of a number you add it to itself a number of times, for this problem, 10.2 multiplied by 6.3 is the same as saying 10.2 + 10.2 + 10.2 = 64.26. Multiplication is therefore a quicker way of adding the same number many times, for example, 10.2 × 6.3 = 64.26. Therefore, the product of 10.2 and 6.3​ is 64.26.

Answer:

A

Step-by-step explanation:

14/20 = 7/10 = 70%

Answer:

A

Step-by-step explanation:

The answer would be A because  remeber 14 out of 20 is so close, so chose the closest number to make 100%.

Answer:

D

Step-by-step explanation:

Answer:

54 boxes

Step-by-step explanation:

Dimension of crate = 12 in by 18 in by 12 in

Volume of crate = (12 * 18 * 12) = 2592 in³

Dimension of box = 4 in by 2 in by 6 in

Volume of box = (4 * 2 * 6) = 48 in³

Number of boxes of soup that will fill each crate :

Volume of crate / volume of box

2592 in³ / 48 in³

= 54 boxes

Answer:

3% of 1700 is 51

Step-by-step explanation:

3% is the same thing as 0.03 so when you find a percentage of something, you multiply that number by the percentage. In this case, it is 3% of 1700 so you multiply 1700 by 0.03 to get your final answer of 51.

I hope this helps!

Answer:

7:1

Step-by-step explanation:

Answer:

60 is the correct answer

Answer:

44

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of side face=(37+15)/2 ×25.7=26×25.7 cm²

volume=26×25.7×20=13364 cm³

Answer:

17.5  

Step-by-step explanation:

180 = 40+ 8x

140 = 8x

17.5  = x

Answer:

17.5 is the correct answer to the question

Step-by-step explanation:

8x+40=180

8x=180-40

8x=140

X=140/8

X=17.5

Answer:

11 = Y+5

Step-by-step explanation:

Answer:

i could be B or A not sure tho

Answer:

C= 25$ + 50$ * h

8 hours 425$

10 hours 525$

Step-by-step explanation:

Answer:

y = 20x + 15

The total cost for 8 hours of work will be $175

Step-by-step explanation:

To find the total cost for 8 hours of work, substitute the x in the equation with 8, and solve. 20 times 8 is 160. 160 + 15 is 175.

Answer:

1

Step-by-step explanation:

Hope it helps you!.........

Answer:

10 hours

Step-by-step explanation:

320 = 30x + 20

300 = 30x

x = 10

Answer:

10 hours

Step-by-step explanation:

We already have the equation, which is y = 30x + 20. Simply substitute 320 for y, and solve for x.

320 = 30x + 20

First, subtract 20 from both sides.

320 - 20 = 30x

300 = 30x

Now divide both sides by 30.

300/30 = x

10 = x

It will take about 10 hours for Robin to travel 320 miles.

Answer:

y = -2x + 3

Step-by-step explanation:

Let's just put the three points together.

(-1, 5) (-4, 11) (-7, 17)

First, let's find the slope with y2 - y1/x2 - x1

Plug in using (-1, 5) and (-4, 11)

11 - 5/-4 + 1 = 6/-3 (simplify)

-2 is the slope

Now plug in (-7, 17) in the equation to get b or the y-intercept)

y = mx + b

17 = -2(-7) + b

17 = 14 + b (subtract 14 on both sides)

3 = b

y = -2x + 3

Answer:

D) graph D

Step-by-step explanation:

x² < 4

x < [tex]\sqrt{4}[/tex] which means x < 2 and x > -2

Answer:

Step-by-step explanation:

1. 6f+45+15=180

6f=180-45-15

6f=130

f=130/6=65/6=21.66666666666666....

2. d=6f=130/6=65/6=21.66666666666666....

(They are vertical angles, opposite angles)

Answer: C

In vertex form a(x - h)2 + k, values of a indicate the horizontal stretch/compression. From there just knowing that values less than 1 stretch the graph, while values greater than 1 compress it. Graphing it out on your own by simply inputting values into x will make this pretty clear.

Hope this helps!