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just olya [345]
2 years ago
5

The Pythagorean Identity states that:

Mathematics
1 answer:
stich3 [128]2 years ago
4 0

Answer:

Step-by-step explanation:

cos θ=8/17

sin θ=√(1-cos²θ)=√(1-(8/17)²)=√(1-64/289)=√((289-64)/289)=√(225/289)=15/17

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Charlotte has been working for her company for x years. Travis has been working for the same company exactly 3 years longer than
shtirl [24]

Question:

Charlotte has been working for her company for x years. Travis has been working for the same company exactly 3 years longer than Charlotte. What is the range of the relationship?

A- y>0

B- y>3

C. y<3

D. 0

Answer:

y > 3

Step-by-step explanation:

Number of years Charlotte has worked = x

Number of years Travis has worked = y. ie, y = 3+x

Let's assume the function reaches its lowest point at 3. There could also be a higher value for this function.

We now have:

f(x) = y > 3

Since Travis has been working for the same company exactly 3 years longer than Charlotte the range of the relationship is y>3

5 0
3 years ago
Solve the equation for x. show your work log(2x-6)=2
borishaifa [10]

Answer:

x = e^2/2 + 3

Step-by-step explanation:

Solve for x:

log(2 x - 6) = 2

Hint: | Eliminate the logarithm from the left hand side.

Cancel logarithms by taking exp of both sides:

2 x - 6 = e^2

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

2 x = e^2 + 6

Hint: | Solve for x.

Divide both sides by 2:

Answer: x = e^2/2 + 3

8 0
3 years ago
Read 2 more answers
Triangle KJL is inscribed in semicircle O shown below such that JK=6 and JL=11. Which of the following is closest to the radius
lakkis [162]

Uhh, answer choices?

In any case, since \triangle KJL is inscribed in a semicircle, it is a right triangle (due to the inscribed angle theorem). Thus, by the Pythagorean theorem, KL=\sqrt{6^2+11^2}=\sqrt{157}. Now, the circumradius of a right triangle (the radius of the circle passing through all three of its vertices) is simply half its hypotenuse, so OJ=OK=OL=\frac{\sqrt{157}}{2}\approx \boxed{6.265}.

7 0
3 years ago
Laura, Jose, and Keith have a total of $118 in their wallets. Jose has $8 more than Laura, Keith has 3 times what Laura has. How
True [87]
Let’s assume that Laura has x$
Jose = 8+ x
Keith= 3x

So the total is equal to
118= x + 8 +x + 3x
118= 5x + 8
Subtract 8 from both sides
110= 5x
Divide 5 by both sides
22$= x which is what Laura has
Jose will have :8+22= 30$
Keith will have :3*22=66$
4 0
3 years ago
Solve for the value of x:-<br> <img src="https://tex.z-dn.net/?f=4x-5%20%3D%203" id="TexFormula1" title="4x-5 = 3" alt="4x-5 = 3
enot [183]

4x-5 = 3

4x = 8

x = 8÷4

x = 2

5 0
2 years ago
Read 2 more answers
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