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2 years ago

Please help also its a one answer question!!

Mathematics

1 answer:

KIM [24]2 years ago

3 0

Answer:

I'm not sure if I'm right but my best answer is C

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Highschool level trigonometry!!! Need help knowing step by step how to find answer!

Goshia [24]

Answer:

$\theta \approx 82.34^\circ$

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

$\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$

The adjacent side is 2 and the hypotenuse is 15. By substitution:

$\displaystyle \cos(\theta)=\frac{2}{15}$

Now, we will take the inverse cosine of both sides. So:

$\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)$

Use a calculator. Hence:

$\theta \approx 82.34^\circ$

The angle between the ground and the ladder is about 82.34°.

5 0

3 years ago

Given: TSR and QRS are right angles; T ≅ Q

allsm [11]

Answer:

The answer is number (2) ⇒ because of the AAS congruence theorem

Step-by-step explanation:

* Lets use the information to solve the problem

- In the given triangles TSR and QRS

# We have a common side RS or SR

# Two right angles TSR and QRS

# m∠T = m∠Q ⇒ given

* So we have two pairs of angles and one common side, lets

revise the cases of congruence

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and

including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

and one side in the 2ndΔ

* Now lets read the statements and write the missing

Step 1: m∠TSR = m∠QRS = 90° ⇒ because all right angles are congruent

Step 2: m∠T = m∠Q ⇒ because it is given

Step 3: SR ≅ RS ⇒ because of reflexive property (common side)

Step 4: Δ TSR ≅ ΔQRS ⇒ because of the AAS congruence theorem

* The answer is number (2)

4 0

3 years ago

Read 2 more answers

The simple interest on a loan of $6000 for 3 years was $900. What was the rate of interest per annum

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

900/3=300

300/6000=0.05

0.05=5%

7 0

3 years ago

If a runner runs at a constant rate of 6 miles per hour how much time would it take for her to run 9 miles

Neko [114]

Answer:

1 1/2

Step-by-step explanation:

divide 9 by 6 (because its 6 miles per hour) you get 1 1/2. so it would be 1 1/2 hours or 1/5 hours

5 0

3 years ago

Read 2 more answers

Solve for x. 3/x-1 - 1/x^-1=5/x-1<br><br> Please show all work

navik [9.2K]

3/(x-1) - 1/(x^2-1) = 5/(x-1)

Subtract 3/(x-1) from both sides

-1/(x^2-1) = 2/(x-1)

Factor x^2 - 1

-1/[(x-1)(x+1] = 2/(x-1)

Multiply by (x-1)(x+1) on both sides

-1 = 2 (x+1)

-1 = 2x + 2

Subtract 2 from both sides

-3 = 2x

Divide by 2 on both sides

-3/2 = x

5 0

3 years ago

Read 2 more answers