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Nana76 [90]
3 years ago
6

Solve using the substitution method. Show steps please.

Mathematics
1 answer:
rusak2 [61]3 years ago
7 0

Answer:

X=1, Y=4

Step-by-step explanation:

IN THE ATTACHED FILE

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A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14
Oliga [24]

Answer:

Let the distance between woman and pole be "x".

From diagram,

In ΔOAB,

tan 18 = \frac{Perpendicular}{Base}

tan 18 =  \frac{65 -y}{x}

∴ x =  \frac{65 -y}{tan 18} ................ (1)

In ΔOBC

tan 14 = \frac{Perpendicular}{Base}

tan 14 =  \frac{y}{x}

y = x × tan 14 ..............(2)

equating (2) in (1), we get;

x = \frac{65}{tan 18 + tan 14}

x = \frac{65}{0.574}

∵ tan 18 + tan 14 = 0.574

<em>∴ x = 113.2 ft</em>

<em>i.e. The her distance from the pole is 113.2 ft.</em>

3 0
3 years ago
HELP MEEEEE EASY DUE IN A MINSS<br> What is the prime factorization of 990?
alex41 [277]

Answer:

11 is one of the factors! The orange divisor(s) above are the prime factors of the number 990. If we put all of it together we have the factors 2 x 3 x 3 x 5 x 11 = 990.

Step-by-step explanation:

3 0
3 years ago
I NEED HELP THIS IS LATE
slamgirl [31]

Answer:

M=-10

Step-by-step explanation:

To find the sope we use y-y1/x-x1. For this problem, I chose the first two coordinates.

(-33.5)-(-55.6)/1.20-3.45=22.6/-2.25=-10(rounded)

hope this helps!:)

6 0
3 years ago
Consider a company that selects employees for random drug tests. The company uses a computer to select randomly employee numbers
andrew11 [14]
This problem sounds so ridiculous lol

All joking aside, first let's look at the multiples of 1000.

1000, 2000, 3000, 4000, 5000, 6000

That makes 6.  Complete the following equation, and you have your answer.

6 / 6296 = ?

0.000953 if you round.

Hope it helps. XD
8 0
3 years ago
What is the answer to the question
S_A_V [24]

The equation of the parallel line is y = –2x – 11.

Solution:

Given equation of the line is y = –2x – 5.

Slope of this line is (m_1) = –2

To write the equation parallel to this line and passes through (–4, –3).

<em>If two lines are parallel, then they have the same slope.</em>

\Rightarrow m_1=m_2

\Rightarrow m_2 =-2

<u>Point-slope formula:</u>

y-y_1=m(x-x_1)

Substitute the given values in the formula, we get

y-(-3)=-2(x-(-4))

y+3=-2(x+4)

y+3=-2x-8

Subtract 3 from both sides of the equation.

y+3-3=-2x-8-3

y=-2x-11

Hence the equation of the parallel line is y = –2x – 11.

5 0
3 years ago
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