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2 years ago

Find the area of the sector. The central angle is given in radians. Round your answer

Mathematics

1 answer:

Ivan2 years ago

4 0

Answer:

method 2 use the radians sector area formula

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Six more than nine times a Number is 456

Nuetrik [128]

Let the number = x
It would be: 9x + 6 = 456
9x = 456 - 6
9x = 450
x = 450 / 9
x = 50

In short, Your Answer would be 50

Hope this helps!

8 0

3 years ago

Light travels at 3.0×10^8 kilometers how far does light travel in five minutes

34kurt

Just have a very grate day

8 0

2 years ago

Grandma has 14 red roses and 7 pink roses how many more red roses than pink does she have explain how you solve the promblem

Helga [31]

She has 7 more roses. you can subtract to find the difference. 14-7=7

4 0

3 years ago

Find the function r that satisfies the given condition. r'(t) = (e^t, sin t, sec^2 t): r(0) = (2, 2, 2) r(t) = ()

lesantik [10]

Answer:

r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2)

Step-by-step explanation:

A primitive of e^t is e^t+c, since r(0) has 2 in its first cooridnate, then

e^0+c = 2

1+c = 2

c = 1

Thus, the first coordinate of r(t) is e^t + 1.

A primitive of sin(t) is -cos(t) + c (remember that the derivate of cos(t) is -sin(t)). SInce r(0) in its second coordinate is 2, then

-cos(0)+c = 2

-1+c = 2

c = 3

Therefore, in the second coordinate r(t) is equal to -cos(t)+3.

Now, lets see the last coordinate.

A primitive of sec²(t) is tan(t)+c (you can check this by derivating tan(t) = sin(t)/cos(t) using the divition rule and the property that cos²(t)+sin²(t) = 1 for all t). Since in its third coordinate r(0) is also 2, then we have that

2 = tan(0)+c = sin(0)/cos(0) + c = 0/1 + c = 0

Thus, c = 2

As a consecuence, the third coordinate of r(t) is tan(t) + 2.

As a result, r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2).

6 0

3 years ago

You deposit $200 in an account earning 3% interest compounded

anastassius [24]

Answer:

$268.78

Step-by-step explanation:

We will use the compound interest formula to solve this:

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

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 3% into its decimal form:

3% -> $\frac{3}{100}$ -> 0.03

Now, plug in the values:

$A=200(1+\frac{0.03}{1})^{1(10)}$

$A=268.78$

After 10 years, you will have $268.78

5 0

3 years ago