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FrozenT [24]
3 years ago
10

PLEASE help! Math help? :)

Mathematics
1 answer:
stepan [7]3 years ago
4 0
Answer: 39.2

Check out the attached image

============================================================

Explanation:

Draw out the triangle or use the diagram provided by your teacher. It should look something similar to what I've attached. 

Let m = length of side XZ

We are given that
angle Y = 75 degrees
angle Z = 67 degrees
which are the green angles shown in the diagram

Use the fact that the three angles (X,Y,Z) add to 180 degrees to find angle X
X+Y+Z = 180
X+75+67 = 180
X+142 = 180
X+142-142 = 180-142
X = 38

Now use the law of sines to find m
sin(X)/YZ = sin(Y)/XZ
sin(38)/25 = sin(75)/m
m*sin(38) = 25*sin(75)
m = 25*sin(75)/sin(38)
m = 39.22309 <<<--- make sure your calculator is in degree mode
m = 39.2

So XZ is roughly 39.2 feet in length

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A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-
seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

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By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

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Answer:

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Step-by-step explanation:

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Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000
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Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

<u>First, we determine the value of the 5 installments using a 5% annual compounded rate.</u>

We calculate the future value, and then the present value:

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<u>First, we need to calculate the effective interest rate:</u>

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