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Stels [109]
3 years ago
11

Will give brainlist

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer:

40.5°

Step-by-step explanation:

So this problem is a ratio setup. First, you have to calculate the total circumference of the circle using the following formula:

c = 2πr

Where c is the circumference, and r is the radius of the circle. Therefore:

c = 2π(40)

Simplify:

c = 80π

Now if the arc is 9π miles long, then it's a fraction of the whole circle, which is 360° . We can set this up as follows:

\frac{9\pi }{80\pi } = \frac{x}{360}

Now if we cross-multiply to solve for x:

(9)(π)(360) = (80)(π)(x)

When simplified dividing by 10π :

9*36 = 8x

Simplfy.

324 = 8x

Solve for x.

x = 40.5

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The decay rate for a radioactive isotope is 9.29.2 percent per year. find the half-life of the isotope. round to the nearest ten
Oxana [17]
Exponential decay is given by the equation

F = P(1 - r)^t

0.5 = 1(1 - 0.092)^t

0.5 = (0.908)^t

log 0.5 = log (0.908)^t

log 0.5 = t * log 0.908

t = (log 0.5)/(log 0.908)

t = 7.18

Answer: 7.2 years
4 0
3 years ago
Find tan(B) in the triangle.
nekit [7.7K]

Step-by-step explanation:

tan = perpendicular / base

acc. to diagram ,

angle C = 90°

such that

AB is hypotenuse

acc to theta ,

AC is perpendicular and BC is base

therefore

tan theta = AC / BC

tan theta = 8/15

5 0
3 years ago
Is this correct?????
fomenos

Answer:  \bold{x^8}

<u>Step-by-step explanation:</u>

x^3\cdot x^5\quad =x^{3+5}\quad =\large\boxed{x^8}

7 0
3 years ago
Name the line and plane shown in the diagram. A.AB and plane ABD B.BA and plane DC C.AC and plane ABD D.AB and plane DA
elena-14-01-66 [18.8K]

Answer: The line is AB and the plane is ABD, the first option is the correct one.

Step-by-step explanation:

Ok, first some definitions.

A line is any line that crosses two colinear points. Particularly, you can see in the graph that the line crosses through A and B, so the line is AB.

A plane needs 3 non-colinear points (if the points where colinear, then the points may define a line). Other definition of plane is "a line and a point that is not in the line"

So, if our line is AB, then the possible planes are:

ABC and ABD.

then the correct option is:

Line AB and plane ABD, so the correct option is the first one.

6 0
3 years ago
HELPP PLEASEEE!!<br> (look at the photo)
Angelina_Jolie [31]

Answer:

B

Step-by-step explanation:

If you notice, since concert tickets is 1, the cost is $23. So we are finding an option that satifies that. The only option is B.

Hope you get a 100. Please hit the crown if correct :D

5 0
3 years ago
Read 2 more answers
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