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Setler [38]
2 years ago
13

NEED HELP 45 POINTS PLZ

Mathematics
1 answer:
miskamm [114]2 years ago
6 0

Answer:

I have given the answer in the chat box as i was not able to post officialy

Step-by-step explanation:

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3. The rectangle below has an area of 297 in. Find the length of the diagonal.
saul85 [17]

9514 1404 393

Answer:

  29.15 in

Step-by-step explanation:

The area of a rectangle is given by the formula ...

  A = LW

Filling in the given information, we can find the missing side length.

  297 in² = (27 in)h

  h = (297 in²)/(27 in) = 11 in

The length of the diagonal can be found from the Pythagorean theorem.

  d² = 27² + 11² = 729 +121 = 850

  d = √850 = 5√34 ≈ 29.15476

The length of the diagonal is about 29.15 inches.

7 0
3 years ago
Distribute the expression:
AlekseyPX
6(3r^2 - 4r + 7)
18r^2 - 24r + 42
Letter A
8 0
3 years ago
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.
Step2247 [10]

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

m\angle O+m\angle P+m\angle Q=180^\circ        [Angle sum property]

26^\circ+m\angle P+90^\circ=180^\circ

m\angle P+116^\circ=180^\circ

m\angle P=180^\circ -116^\circ

m\angle P=64^\circ

According to Law of Sines, we get

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using the Law of Sines, we get

\dfrac{p}{\sin P}=\dfrac{o}{\sin O}

\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}

Substituting the given values, we get

\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}

\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}

\dfrac{4.9}{0.89879}\times 0.43837=PQ

2.38989=PQ

Approximate the value to the nearest tenth of a foot.

PQ\approx 2.4

Therefore, the length of PQ is 2.4 ft.

4 0
3 years ago
Please answer and explain how you go the answer
AfilCa [17]

Answer:

38°

Step-by-step explanation:

It's simple think of it like this: A right angle is exactly 90 degrees. Subtract the 90° and the 52° and you'll get your answer of 38° which is x°.

Hope this helped you out :)

6 0
3 years ago
Read 2 more answers
Which of the following must be true?
galben [10]

Answer:

answer is B because in the property of parallelogram it says ad is parallel to bc

6 0
2 years ago
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