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marissa [1.9K]
3 years ago
10

A circle with area 100 pi has a sector with a central angle of 2/5 pi radians. What is the area of the sector?

Mathematics
1 answer:
Zarrin [17]3 years ago
4 0

we know that

2pi radians (full circle)  has an area of-----------------> 100pi

then

(2pi/5) radians----------------------------> X

X=(2pi/5)*100pi/2pi---------> 20pi units²

the answer is

20pi units²

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Dmitriy789 [7]

4z>-6

divide by 4

z>-6/4

z>-3/2



x+19<= -5

subtract 19 from both side

x<= -24


7 0
3 years ago
Bernie had $30 in his bank account. Today, he withdrew d dollars but tomorrow he will
IgorC [24]

Answer:

Step-by-step explanation:

Bernie had $30 in his bank account.

Today he withdrew $d

Now he has = $30 — $d

Because from $30 he took away $d that’s why $d have to subtract from the $30.

Tomorrow he’ll deposit $15 and that will be added up with current balance $30 —$d.

So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15

5 0
2 years ago
Can someone please help me?
AveGali [126]
Y > .5x + 2


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4 0
3 years ago
Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the
nalin [4]

Answer:

y=8 \cdot (\frac{5}{4})^x

f(x)=8 \cdot (\frac{5}{4})^x

or

f(x)=8 \cdot (1.25)^x

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

y=a \cdot b^x, (b\neq 0).

If you are given the y-intercept, then a is easy to find.

It is just the y-coordinate of the y-intercept is your value for a.

(Why? The y-intercept happens when x=0. Replacing x with 0 gives y=a \cdot b^0=a \cdot 1=a. This says when x=0 \text{ that} y=a.)

So a=8.

So our function so far looks like this:

y=8 \cdot b^x

Now to find b we need another point. We have two more points. So we will find b using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given (1,10) is a point on our curve.

So when x=1, y=10.

10=8 \cdot b^1

10=8 \cdot b

Divide both sides by 8:

\frac{10}{8}=b

Reduce the fraction:

\frac{5}{4}=b

So the equation if it works out for the other point given is:

y=8 \cdot (\frac{5}{4})^x

Let's try it.  So the last point given that we need to satisfy is (2,12.5).

This says when x=2, y=12.5.

Let's replace x with 2 and see what we get for y:

y=8 \cdot (\frac{5}{4})^2

y=8 \cdot \frac{25}{16}

y=\frac{8}{16} \cdot 25

y=\frac{1}{2} \cdot 25}

y=\frac{25}{2}

y=12.5

So we are good. We have found an equation satisfying all 3 points given.

The equation is y=8 \cdot (\frac{5}{4})^x.

4 0
3 years ago
An oblique hexagonal prism has a base area of 42
AlekseyPX

Answer:

168 cm³

Step-by-step explanation:

The base area of the oblique hexagonal prism = 42 cm²

the height of the prism = 4 cm

Volume of the prism = Base area × height = 42 cm² × 4 cm = 168 cm³

7 0
3 years ago
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