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alexandr1967 [171]
3 years ago
8

Noah tried to prove that cos(θ)=sin(θ) using the following diagram. His proof is not correct.

Mathematics
2 answers:
Travka [436]3 years ago
7 0

Answer:

\boxed{\sf A}

Step-by-step explanation:

The first statement is incorrect. The angle B is not equal to theta θ. The two acute angles in the right triangle can be different, if the triangle was an isosceles right triangle then angle B would be equal to theta θ.

alukav5142 [94]3 years ago
3 0

Answer:

The first statement is incorrect. They have to be complementary.

Step-by-step explanation:

You can't say the measure of angle B is congruent to theta because it is possible for angles in a right triangle to be different.

You can only say that what he said is true if the angle was 45 degrees, but based on the information provided it is not possible to figure that out.

The other two angles other than the right angle in a right triangle have to add up to 90 degrees, which is the definition of what it means for two angles to be complementary. A is the correct answer.

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The temperature was 75° Fahrenheit. The temperature dropped at a rate of 10° per hour.
Zigmanuir [339]

Answer:

-5 degrees

Step-by-step explanation:

you started at 75 degrees. it dropped at a rate of 10 degrees per hour. It's been eight hours. 8 times 10 equals 80. It dropped a total of 80 degrees. the starting 75 degrees minus the current 80 degrees equals -5 degrees.

3 0
3 years ago
If f(x) = x2, and<br> g(x) = x – 1, then<br> f(g(x)) = [? ]x2+[?]+ [?]
Basile [38]

Answer:

f(g(x)) = x² - 2x + 1

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x) , that is

f(g(x))

= f(x - 1)

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5 0
3 years ago
Please HELP! How do I set the combination problem to solve this... Ten students ask to visit a college admissions counselor. Eac
solniwko [45]

Answer:

30240

Step-by-step explanation:

There are 10 possibilities for the first time slot.

After that, there are 9 possibilities for the second time slot.

So on and so forth.

The number of ways five time slots can be assigned is:

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Step-by-step explanation:

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3 years ago
If the point (a,3) lies on the graph of the equation 5x + y = 8 then a =?
Contact [7]

Answer:

a = 1

Step-by-step explanation:

Given the point (a, 3) is on the line: 5x + y = 8.

Any point on the line satisfies the equation.

So, (a, 3) should satisfy the equation 5x + y = 8

Substituting x = a and y = 3, we get:

5(a) + 3 = 8

$ \implies 5a = 5 $

⇒ a = 1

Therefore, (1, 3) is the point on the line.

3 0
3 years ago
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