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irina1246 [14]
3 years ago
11

What is the measurement of angle p? Round your answer to the nearest degree.

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

You can use the law sines, which states that in a triangle the ratio between one side length and the sine of the opposite angle is constant.

So, we have

\dfrac{PR}{\sin(Q)}=\dfrac{QR}{\sin(P)}=\dfrac{PQ}{\sin(R)}

In particular, we can use

\dfrac{PR}{\sin(Q)}=\dfrac{QR}{\sin(P)}

to write

\dfrac{68}{\sin(73)}=\dfrac{47.6}{\sin(P)} \iff \sin(P) = \dfrac{47.6\sin(73)}{68}\approx 0.66

Which means

P\approx \arcsin(0.66)\approx 42

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A spinner is divided into eight equal-sized sections, numbered 1 to 8, inclusive. What is true about spinning the spinner one at
zvonat [6]

Answer with explanation:

The number of section into which Spinner is divided =Number from 1 to 8={1,2,3,4,5,6,7,8}

Now, Spinner is Spun once .

The Correct statement among the given statements are:

→1.   S={1,2,3,4,5,6,7,8}

→2. If A is a subset of S, A could be {1,2,3} , because , {1,2,3}⊂{1,2,3,4,5,6,7,8}.

→5.If a subset A represents the complement of spinning an odd number, it’s sample space is A={2,,4,6,8}

A=odd number={1,3,5,7}

A's Complement=Even Number={2,4,6,8}

Why, not 3 and 4, because, The number of elements in the set is from 1 to 8, but the subset has three elements, 7,8, and 9.Element, 7 ∈ S, 8∈S, but , 9∈S.

Also, number less than 4, is equal to ={1,2,3}, but in the statement, it is given that,number less than 4, it’s sample space is A={1,2,3,4},which is Incorrect.

7 0
3 years ago
Read 2 more answers
Given that <br> x<br> = 7.3 m and <br> θ<br> = 52°, work out AB rounded to 3 SF.
trapecia [35]

Answer:

223hjvfcnv5ctdydxrxr hgho8

6 0
3 years ago
Translate and solve: 639 is what percent of 142?
Andre45 [30]

Answer:

450

Step-by-step explanation:

639 is what percent of 142? = 450.

4 0
3 years ago
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Solve for x 2-3(2x-1)=-6x+5
Simora [160]
Step 1: Simplify both sides of the equation.
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6
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=
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Step 2: Add 6x to both sides.
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−
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−
5
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6 0
3 years ago
An estate of $613,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive
Assoli18 [71]

Answer:

Eldest: $298500

Middle: $165250

Youngest: $149250

Explanation:

We can show the siblings like this:

e=2y                  (eldest)

m=16000+y       (middle)

To find the value of y, or the youngest sibling, we use an equation.

2y+16000+y+y=613000

Simplify:

4y+16000=613000

Subtract 16000 on both sides:

4y=597000

Divide both sides by 4:

y=149250

The youngest received $149250.

Knowing this, we can plug in the numbers into the original formulas:

e=2(149250)=298500                 ...or $298500

m=16000+149250=165250         ...or $165250

y=149250                                      ...or $149250

Add all those numbers up, and you reach $613000.

7 0
3 years ago
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