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Juli2301 [7.4K]
3 years ago
14

The circumference of a spherical pincushion is 2 cm pi. Find the surface area of the pincushion. Express your answer in terms of

pi.
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0
The equation for circumference is C=pi*d (d=diameter)
So then we can plug in what we know:
2=pi*d
So then the diameter is equal to 2/pi (radius=1/pi)

Now the equation of surface area for a sphere is SA=4*pi*r^2
So we can plug in what we know:
SA=4*pi*(1/pi)(1/pi) 
Some of the pi's cancel out so you are left with
SA=4/pi
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The length of an 8000 square foot rectangular gymnasium is 20 feet greater than its width.
Svetach [21]

Answer: 80 feet.

Step-by-step explanation:

You can calculate the width using two equations and solving for the side lengths.

L * W = 8000

L = 20 + W

You can then substitute the L in the first equation for the L in the second equation:

(20+W)*W = 8000

W^2 + 20W - 8000 = 0

Now, you can factor this equation to solve it:

(W + 100)(W-80) = 0

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4 0
4 years ago
Evaluate the expression
I am Lyosha [343]

Answer:

36

Step-by-step explanation:

Given expression:

(10 - 3 + 5)^{2}} \times \dfrac{1}{4}

<u>Simplify the expression in the parenthesis</u>

\implies  (12)^{2} \times \dfrac{1}{4}

<u>Simplify the exponents in the expression:</u>

\implies  (12) \times (12) \times \dfrac{1}{4}

\implies 144 \times \dfrac{1}{4}

∴ Recall that: (a × 1/b = a ÷ b)

\implies 144 \div 4

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\implies 144 \div 4

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Find a function whose graph is a parabola with vertex (-3,-9) and that passes through the point (-2,-6)
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The function is y = 3(x+3)^2-9

The equation of a parabola is

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

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From the question, we have

(h,k)=(-3,-9)

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To find a, substitute x=-2,y=-6

-6=a(-2+3)^2-9

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The equation, y=3(x+3)^2-9

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Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

To learn more about multiplication visit: brainly.com/question/5992872

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