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makvit [3.9K]
3 years ago
9

In the next step of the derivation, we passed a horizontal plane through the sphere b up from the center. We let the radius of t

he cross section be x and formed a right triangle with hypotenuse r, as shown below.
The cross-sectional area of the shaded circle is πx2. Using the Pythagorean theorem for the right triangle, we get x2 + b2 = r2. Now solve for x2 and substitute it into the area expression.

What is the result?

π(r2 – b2)
π(r2 + b2)
π(b2 – r2)
2π(b2 + r2)
Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

it's A

Step-by-step explanation:

Just took the assignment on EDG

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How much would $200 invested at 5% interest compounded monthly be worth after 9years? Round your answer to the nearest cent
Feliz [49]

Answer:

$311.20

Step-by-step explanation:

Here we are required to use the Compound interest formula for finding the Amount at the end of 9th year

The formula is given as

A=P(1+\frac{r}{n})^{tn}

Where ,

A is the final amount

P is the initial amount = $200

r is the rate of interest = 5% annual = 0.05

n is the frequency of compounding in a year ( Here it is compounding monthly) = 12

t is the time period = 9

Now we substitute all these values in the formula and solve for A

A=200(1+\frac{0.05}{12})^{9\times 12}

A=200(1+0.00416)^{108}

A=200(1.00416)^{108}

A=200 \times 1.556

A=311.20

Hence the amount after 9 years will be $311.20

4 0
3 years ago
What are the zeros of f(x) = x2 + x - 20?
jeyben [28]

Answer:

x = - 5, x = 4

Step-by-step explanation:

Given

f(x) = x² + x - 20

To find the zeros equate f(x) to zero, that is

x² + x - 20 = 0

Consider the factors of the constant term ( - 20) which sum to give the coefficient of the x- term ( + 1)

The factors are + 5 and - 4, since

5 × - 4 = - 20 and + 5 - 4 = + 1, hence

(x + 5)x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 4 = 0 ⇒ x = 4

8 0
3 years ago
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What is the numerator of the simplified sum?
Dvinal [7]

Answer:

x^2+3x+2x+1 is meant to be x^2 +5x+1

5 0
2 years ago
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What’s the equation for this graph?
harkovskaia [24]

Answer:

y=-3x+2

Step-by-step explanation:

as x goes up on y goes down 3

slope is change in y over change in x

-3/1=-3

the y intercept is (0,2) so the y intercept is +2

8 0
3 years ago
Please help me this looks easy but I don’t understand it tho
Tems11 [23]

Let's call the unknown amount of money <em>x</em>

Betty spend 5/12 of her money (5/12)x and had 42 dollars left. Translated,

x - \frac 5{12} x = 42

Solving,

x(1 - \frac 5{12}) = 42

\frac{7}{12} x = 42

x =  \dfrac{12}{7} \cdot 42 = 72

Answer: $72

4 0
3 years ago
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