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FromTheMoon [43]
3 years ago
11

I don't understand how to solve this please help

Mathematics
2 answers:
Firdavs [7]3 years ago
8 0
PI x r^2 is the equation for the area of a circle. Clearly, we have 3 quarters of a circle here, so we can divide our answer by 4 and then multiply it by 3.

PI x 10^3 = 314.159...

Divide by 4 = 78.540...

Multiply by 3 = 235.619...


Therefore the answer is the third one.
I am Lyosha [343]3 years ago
3 0
Area=pi x radius squared so (3.14)(10)squared = 314
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A building 50 feet high casts a shadow 68 feet long. Find the measure of the angle of elevation of the sun. Round answer to near
Vedmedyk [2.9K]

Answer:

36 °

Step-by-step explanation:

In this case a rectangular triangle is formed so we can use the trigonometric functions to calculate the angle, they give us the value of the two legs, therefore we can apply the tangent function.

Tan A ° = opposite / adjacent

replacing:

Tan A ° = 50/68

Tan A ° = 0.735

A ° = arc tan (0.735)

A ° = 36.32

Which means that the angle of inclination is 36°

4 0
3 years ago
Determine whether or not the vector field is conservative. if it is conservative, find a function f such that f = ∇f. (if the ve
Akimi4 [234]
A three-dimensional vector field is conservative if it is also irrotational, i.e. its curl is \mathbf 0. We have

\nabla\times\mathbf f(x,y,z)=-2e^{-x}\,\mathbf k

so this vector field is not conservative.

- - -

Another way of determining the same result: We want to find a scalar function f(x,y,z) such that its gradient is equal to the given vector field, \mathbf f(x,y,z):

\nabla f(x,y,z)=\mathbf f(x,y,z)

For this to happen, we need to satisfy

\begin{cases}f_x=ye^{-x}\\f_y=e^{-x}\\f_z=2z\end{cases}

From the first equation, integrating with respect to x yields

f_x=ye^{-x}\implies f(x,y,z)=-ye^{-x}+g(y,z)

Note that g *must* be a function of y,z only.

Now differentiate with respect to y and we have

f_y=-e^{-x}+g_y=e^{-x}\implies g_y=2e^{-x}\implies g(y,z)=2ye^{-x}+\cdots

but this contradicts the assumption that g(y,z) is independent of x. So, the scalar potential function does not exist, and therefore the vector field is not conservative.
8 0
3 years ago
You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 3 out of 20 times. What is t
Mumz [18]

Answer:

3/20 or 0.15 or 15%

Step-by-step explanation:

Since 3 red marbles were drawn out of 20 outcomes, the probability the next marble will be red is 3/20. If you convert it to a decimal it will be 0.15, and if you convert it to a percent it will be 15%.

6 0
2 years ago
Ben has ran for president of his class if there are 400 and 10 students and he received 72% of the vote. How many students were
blagie [28]

Answer:

287

Step-by-step explanation:

400+10=410

(70:100)*410

(70*410):100

28700:100 = 287

6 0
3 years ago
24-u=234 solve for u
strojnjashka [21]

Answer:

u= -210

Step-by-step explanation:

Hope this is helpful(please make me the brainliest!)

4 0
3 years ago
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