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vlada-n [284]
2 years ago
6

If the radius of a sphere is increased by 5 cm so that the area of the sphere obtained is increased by 400pi square cm. What was

the radius before the increase
Mathematics
1 answer:
Sliva [168]2 years ago
8 0

Answer:

The answer is 314cm²

the formula for the sphere area of a sphere is:

A= 4TT²

A = 4x3.14x5²

first solve for exponents

A = 4x 3.14x25

then multiply

A = 314cm²

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Is 11/20 greater than a half
Rainbow [258]
Yes... a half is equal to 10/20 and 11/20 is greater than 10/20 so 11/20 is greater than a half
8 0
2 years ago
Read 2 more answers
Use yours formula to find the missing number of faces edges 15 vertices 9
Alexandra [31]

Using Euler's Formula, the number of faces is given by: 8.

<h3>What does Euler's Formula states?</h3>

It states that the number of vertices, edges and faces is related by the following equation:

V - E + F = 2.

In this problem, the parameters are given as follows:

E = 15, V = 9.

Hence the number of faces is given by:

V - E + F = 2.

9 - 15 + F = 2

F - 6 = 2

F = 8.

More can be learned about Euler's Formula at brainly.com/question/12943884

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7 0
1 year ago
Find a and k so that the given points lie on the parabola (An algebraic solution is required)
Aleks [24]

For the given points to lie on the parabola,

a = -3 and k = 10.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).

According to the question,

Equation of parabola : y = a(x-2)^{2} + k

Points A(1,7) and B(4,-2)

For the points to lie on the parabola,

7 = a(1-2)^{2}+k

7 = a + k

Similarly,

-2 = a(4-2)^{2} + k

-2 = 4a + k

On solving the two equations simultaneously, we get,

a = -3

k = 10

Learn more about parabolas here:

brainly.com/question/4061870

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4 0
2 years ago
Read 2 more answers
We can calculate the depth ddd of snow, in centimeters, that accumulates in Harper's yard during the first hhh hours of a snowst
inna [77]

Answer:

0.2 hours

Step-by-step explanation:

The depth, d of snow (in cm) that accumulates in Harper's yard during the first h hours of a snowstorm can be calculated using the equation:

d=5h

When d=1cm, we want to determine the value of h.

1=5h

h=1/5=0.2

Therefore, it takes 0.2 hours for 1 centimeter of snow to accumulate in Harper's yard.

3 0
2 years ago
In order for Brady to earn a B in his biology course, his test scores must average at least 80%. On the first 5 tests, he has an
larisa [96]

Hey there! I'm happy to help!

There were 5 tests needed to make an average of 77. These numbers have to add up to 385 (77×5) because that is what you divide by 5 to find the average which is 77.

Now, we want to find an average of 80 with 6 numbers. We multiply 80 and 6, showing us that the sum of these 6 numbers must be 480. Since 5 of these numbers are the same as with the 77 average, we know that one test score (the one Brady needs to get) is added to 385 to give us 480.

480-385=95

Therefore, Brady needs to earn a 95% on the last test to receive a B in the class.

8 0
3 years ago
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