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lawyer [7]
2 years ago
12

What is the equation of the line?

Mathematics
1 answer:
Natalija [7]2 years ago
7 0

Answer:   y=-4/5x+3/2

Step-by-step explanation:

rise over run

then find what x and y is

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Maksim231197 [3]
1) To find x we are going to use the Pythagorean equation:
 x= \sqrt{a^{2}+b^{2}  }
where 
a and b are the legs of our triangle. For our picture we can infer that a=10 and b=8, so lets replace those values in our equation to find x:
x= \sqrt{10^{2}+8^{2}}
x= \sqrt{100+64}
x= \sqrt{164}
x=12.8
We can conclude that the value of x in our triangle is 12.8

2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
tan(y)= \frac{8}{10}
tan(y)=0.8
Since we need the measure of angle y, we are going to take inverse tangent to both sides to find it:
y=arctan(0.8)
y=38.66
We can conclude that the value of y in our triangle is 38.66°

3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
38.66+z+90=180
z+128.66=180
z=51.34
We can conclude that the measure of angle z is 51.34°


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4 0
3 years ago
Read 2 more answers
Lyle bought a baseball card for $800. If the value of the card decreases by 1.5% each year, find the value of the card after 12
allsm [11]

Answer:

FV= $669.11

Step-by-step explanation:

Giving the following information:

Purchase price (PV)= $800

Decrease value (d)= 1.5% per year

Number of periods (n)= 12 years

<u>To calculate the value of the card after 12 years, we need to use the following formula:</u>

FV= PV / (1 + d)^n

FV= 800 / (1.015^12)

FV= $669.11

6 0
3 years ago
Using FOIL method. Multiply the terms. (X^2 -7)(x^2 -4)
murzikaleks [220]

Answer:

x^4-11x^2+28

Step-by-step explanation:

  1. Set it up

x^2(x^2-4) -7(x^2-4)

    2. Multiply

x^4-4x^2-7x^2+28

    3. Simplify

x^4-11x^2+28

4 0
3 years ago
Explain how you can use base 10 blocks to find one. 54+2.37
jasenka [17]
So you mean add 54+2.37? Well, I do know that the answer to 53+2.37= 2.90. I hope I helped, even if I only helped by an inch.
6 0
3 years ago
Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs
lions [1.4K]

Answer:

3H - 2 ≤ 14 I believe.

If i'm wrong forgive me

6 0
2 years ago
Read 2 more answers
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