The ratio of two radii of two spheres is 15:8. If the surface area of larger sphere is 706.9 mm2, fine the surface area of the smaller sphere.

Answers

Answer 1

Answer:

201.1 mm²

Step-by-step explanation:

Smaller sphere = 8

Larger sphere = 15

Larger sphere surface area = 706.9 mm²

Smaller sphere surface area = x

Hence:

Since we are dealing with surface area

8²/15² = x/ 706.9

Cross Multiply

15² × x = 706.9 × 8²

x = 706.9 × 8²/15²

x = 201.07377778 mm²

x ≈ 201.1 mm²

Therefore, the surface area of the smaller sphere is 201.1 mm²


Related Questions

Susan spent fifty dollars of the $250 she had in her savings account. What
percent of her money was still in the bank?*

Answers

Answer:

80%

Step-by-step explanation:

a rectangular plot has a perimeter of 124cm. The width is 2cm shoter than the lengh.What is the area of the rectangle?​

Answers

Answer:

[tex]area = 960cm^2[/tex]

Step-by-step explanation:

Perimeter = 2 x (length + width) ------(1)

Perimeter = 124cm

Let length be x

Given width is 2cm shorter than length , that width = x -2

    [tex]Perimeter = 2 (x + (x -2))\\\\124 = 2(x +x -2)\\\\62 = 2x -2 \\64 = 2x\\x = 32[/tex]

Length = 32cm

Width = 32 - 2 = 30cm

Area = length x width

  [tex]= 32 \times 30 = 960cm^2[/tex]

Rectangle Perimeter = 2 Length x 2 Width
Perimeter = 124cm
Length = L
Width = L-2
2 Length = 2 L
2 Width = 2 L - (2x2)
=2 L - 4

=124cm - 4cm
= 120cm
=120/4
=30cm
Width= 30cm
Length = 30cm + 2cm
= 32

Perimeter:
=2 x 32cm + 2 x 30cm
=64cm + 60cm
= 124cm

A line is perpendicular to y = 3/7x - 2 and intersects the point (3, 3). What is the equation of this perpendicular line?

Answers

Answer:

y = -7/3x + 10

Step-by-step explanation:

Step 1: Find the slope of the perpendicular line

Do this by taking the negative inverse of the first line

m = -7/3

Step 2: Find b

y = mx + b

y = -7/3x + b

3 = -7/3(3) + b

3 = -7 + b

b = 10

A soccer league has 170 players. Of those players 60% are boys. How many boys are in the soccer league?​

Answers

Answer:

102

Step-by-step explanation:

170*(60%) = 170 *0.6= 102

60% of the entire part is also 0.6

Someone please help me out!!

Answers

Answer:

1

when using a quadratic ration 1 is the formatted answer

Step-by-step explanation:



Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

D

Step-by-step explanation:

V = 4.5 ×5 ×2.5 = 56.25

(D )

Answer:

56  1/4 cm^3

Step-by-step explanation:

To find the volume,

V = l*w*h

  = 2 1/2 * 4 1/2 * 5

Changing to improper fractions

   = 5/2 * 9/2 *5

   = 225/4

Changing back to a mixed number

56  1/4 cm^3

what is the answer to
5 x plus 8 plus 3 x equals 26 plus 6 x

Answers

Answer:

Step-by-step explanation:

according to the question equation is

5x+8+3x=26+6x

8x+8=26+6x

8x-6x=26-8

2x=18

x=18/2

x=9

Answer:

x=9

Step-by-step explanation:

Write an explicit formula for AN, the NTH term of the sequence 2, 4, 6

Answers

Answer:

2n.

Step-by-step explanation:

This an arithmetic sequence with a1 = 2 and d = 2

an = a1 + d(n - 1)

= 2 + 2(n - 1)

= 2n + 2 - 2

= 2n.

If the area of the rectangle is 90 km?, then what is the value of the missing side?
A)
6 km
B)
10 km
15 km
D)
42 km
E)
54 km

Answers

I believe it would be B.
Logically, it’s the only one that makes sense,
As 9x10= 90
None of the others have any way to divide or multiply up to the area,
So yes, B.
it would be answer B) 10 km 15km hope helps did before

Try your best to answer it​

Answers

Answer:

y=-4(x,y)=(0,-4)

y=-3(x,y)=(2,-3)

y=-2(x,y)=(4,-2)

y=-1(x,y)=(6,-1)

y=0(x,y)=(8,0)

y=1(x,y)=(10,1)

Step-by-step explanation:

Answer:

Answer attached

Step-by-step explanation:

I think you can plot it in the graph.

Find the value of x. Using trig

Answers

Hi there! We can find the value of x by using this equation.

[tex] \large \boxed{tanx = \frac{19}{23} }[/tex]

If you remember, tanx = opposite/adjacent. We focus on the angle x currently.

Now that you might wanna ask if there is a value of x that makes 19/23. The answer is yes but in decimal.

[tex] \large{arctan( \frac{19}{23} )} = x[/tex]

You might wanna put arctan(19/23) in a calculator since it's not really possible to get the square root like value by yourself.

arctan(19/23) is 0.69

Then we round up and get 0.7

Hence, the value of x ≈ 0.7

Answer

x ≈ 0.7 (rounded)

Questions can be asked through comment.

Hope it helps, and Happy Learning! :)

PLZZ anyone....l will give BRAINLIEST...​

Answers

Step-by-step explanation:

x= how many members are in the group

x= 100/x

x= 100/(x-5)

x(x-5)=100

x^2-5x=100

x^2-5x-100=0

and then use the quadratic formula (i can't type it srry)

Answer:

25 members

Step-by-step explanation:

Initial number of members:  x

Sum of money:  K£ 100

Each had to pay:  100/x

Five members less, each paid K£1 more, we get equation:

100/x + 1 = 100/(x - 5)

Multiply all terms by x(x - 5) and solve the quadratic equation:

100(x - 5) + x(x - 5) = 100x100x - 500 + x² - 5x - 100x = 0x² - 5x - 500 = 0x = (5 + √(5² + 4*500))/2 x = (5 + √2025)/2x = (5 + 45)/2x = 25

The second root is ignored as negative.

helllllllllllllllllllooooooooooooooooooooooooooooooo free 50 pointssssssssssssseses

Answers

Answer:

it says 5 points u baiting us?XD

Step-by-step explanation:

Answer:

Helloooo

Step-by-step explanation:

Its just 5 point but thanks :)

can someone please help me with this

Answers

Split the figure into two chunks. You’ll end up having 2 different sized square. One square is 9x8 and the other is 6x6. Had the two areas together. 72+36

Question 2
A rectangular piece of board is 0.894 m long and 0.665 m wide. Which of the following
shows the board's dimensions, each written to one decimal place?

Answers

Where are the choices

A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15%,
0.10 (20 – 400) + 60,
2 < 400
2 > 400
determines
the bill.
How much is the bill for a person who uses 600 kWh in a month?
O A. $80
B. $90
C. $100
O D. $110

Answers

Answer: (a)

Step-by-step explanation:

Given

The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used

for 600 kWh in a month, [tex]b(x)[/tex]  is

Substitute 600 for [tex]x[/tex]  in [tex]b(x)[/tex]

[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]

Therefore, the bill for a person is [tex]\$80[/tex]

A large western stare consists of 3872 million acres of land. Approximately 82% of this land is federally owned. Find the number of acres that are not federally owned.

Answers

Answer:

696.96 million acres of land

Step-by-step explanation:

Acres not federally owned = Percentage of acres not federally owned x total acres of land

Percentage of acres not federally owned = 100% - percentage of acres federally owned

100% - 82% = 18%

0.18 x 3872 = 696.96 million acres of land

Use 3.14 for π Round to the nearest 100th if necessary A ball has a diameter of 20 inches. What is its volume?

Answers

Answer:

4186.67 cubic inches

Step-by-step explanation:

Volume of a sphere = 4/3 π r³

π = 3.14

Diameter = 20 inches

Radius = r = Diameter/2 = 20 inches/2 = 10 inches

Volume of the sphere = 4/3 × 3.14 × (10 inches)³

Volume of the sphere = 12560 ÷ 3

= 4186.6666667 cubic inches

Approximately to the nearest hundredth = 4186.67 cubic inches

Therefore, the volume of the ball is 4186.67 cubic inches.

GEOMETRY/10 POINTS
WHAT DOES B EQUAL TO?
WILL MARK BRAINLIST GOD BLESS U

Answers

Answer :

[tex]360 - 108 = 252\\since \ divided \ equally = 126 each\\so \ b = 126[/tex]

answer: b=126

explanation: since the outer ring of the circle is 360 degrees, i took 360 and subtracted 108. then, since the other two sectors are equal to each other, i took the answer of 360-108 which is 252 and divided it by 2 to get 126.

hope this helps! have a good day :)

665.8 rounded to the nearest tenth of a cubic meter

Answers

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit. Example

124.58

The first number of right of decimal point is 5

The second digit after decimal point is 8 which is greater than 5

So add 1 to 5

Result = 124.6

no answer just explanation,

can u help me plz////

Answers

Answer:

∠1=102 ∠2=78

Step-by-step explanation:

Who's gonna answer my last math question??

Answers

I would say A because every other question it shows the exact amount but since it says 20-29 you can’t really say the answer by looking at the graph unless you guess but that’s not what the question is saying it’s saying which question cannot be answered by looking at the graph and I would Say You cannot answer A by looking at the graph.


Sorry if I am wrong

Answer and Step-by-step explanation:

The answer would be A.

This is because we don't know how many students correctly answered 29 questions, but we do know how many students correctly answered 20-29 questions on the test.

As for the other answers, it asks about the full range and not a specific number.

#teamtrees #PAW (Plant And Water)

Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2. Which of the following sequences of transformations can be used
to support Sara's claim?
A
a reflection over the y-axis, followed by a reflection over the x-axis.
B
a translation of 7 units to the left, followed by a translation of 8 units up.
С
a reflection over the x-axis, followed by translation of 4 units to the right
D
a rotation of 270° clockwise about the origin, followed by a reflection over the y-axis.

Answers

Wait isn’t it a? I’m not sure tho

The sequences of transformations can be used to support Sara's claim that is A; a reflection over the y-axis, followed by a reflection over the x-axis.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs), etc.

Given that Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2.

When a graph is reflected along an axis, it says x-axis, then that leads the graph to go just to the opposite side of the axis as if we can see it in a mirror.

If we study it more, then we will find that it is symmetric, however, each point is equidistant from the axis of reflection as that of the image of that point.

Therefore, The sequences of transformations can be used to support Sara's claim that is A; a reflection over the y-axis, followed by a reflection over the x-axis.

Learn more about transforming functions here:

https://brainly.com/question/17006186

#SPJ5

Sarah walks uphill at an average of 2 miles per hour, and downhill at an average of 4 miles per hour. She goes for a 6 mile hike up a hill, and then returns downhill by the same route. What is Sarah's average speed for the whole journey?

Answers

Answer:

48

Step-by-step explanation:

Answer:

Average of 3mph

Step-by-step explanation:

If Sarah goes uphill at 2mph and downhill at 4mph.

Then to find the average you can:

Add 2 plus 4

which equals 6

Then divide the sum of 6 by the number of values given, there are two values (2 and 4)

6 divided by 2 equals 3

So the average is 3mph

A 32 oz water bottle costs $10.70.

___ oz per water bottle

___ dollars per ounce

round answer to nearest hundredth

Answers

Answer:

32 oz per water bottle

$0.33 dollars per ounce

Step-by-step explanation:

We are already given 32 oz as the amount per water bottle, so all we need to do is calculate the dollars per ounce. We can do this by dividing the cost of the water bottle by the number of ounces.

$10.70 ÷ 32= 0.334375 ------> 0.33

Rounding to the hundredths place we get $0.33.

Solve for w: v = 3p (w -r)​

Answers

Answer:

Step-by-step explanation:

v=3p(w-r)

v=3pw-3pr

v+3pr=3pw

(v+3pr)/3p=w

Choose all the zeros of the quadratic function defined by the expression 2x2 + 5x - 12

Answers

Answer:

3/2 and -4

Step-by-step explanation:

that is the answer

Solve for X. Show your work.

Answers

Answer:

x=8

Step-by-step explanation:

The angles are vertical angles so they are equal

8x+36 = 5x+60

Subtract 5x from each side

8x+36-5x = 5x+60-5x

3x+36 = 60

Subtract 36 from each side

3x+36-36 = 60-36

3x =24

Divide each side by 3

3x/3 = 24/3

x=8

On Tuesday afternoon at camp, Connor did archery and sailing before dinner. Archery started at 12:00 P.M. Connor spent 1 hour and 15 minutes at archery and 2 hours sailing. What time did sailing end?

Answers

Answer:

Sailing end at 3:15 AM

Step-by-step explanation:

Connor did archery and sailing before dinner (in that order).

He started at 12:00 PM

We know that:

In archery, Connor spent 1 hour and 15 minutes

In sailing, Connor spent 2 hours.

The total time spent is:

1 hour + 15 minutes + 2 hours

3 hours + 15 minutes.

Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:

3:15 AM

Sailing end at 3:15 AM

Determine whether the equation below has one solution, no solution, or infinitely many solutions: 3x − 15 = 3(x − 6)

Answers

Answer:

No solutions

Step-by-step explanation:

3(x-6)= 3x-18

3x=15≠3x-18

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