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irina1246 [14]
3 years ago
11

Solve the right triangle shown in the figure. Remember, exact lengths can be approximated on a calculator. For

Mathematics
1 answer:
krek1111 [17]3 years ago
3 0

Answer: B is correct

Step-by-step explanation:

Edg 2021

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Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.
hodyreva [135]

Answer:

Step-by-step explanation:

3. Use Cosine law to find the  length of the unknown side (PR)

q² = p² +  r² - 2prCos Q

q is the opposite side of ∠Q;  

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² -  2* 33*67 Cos 19°

    = 1089 + 4489 - 4422 * 0.95

     = 1089 + 4489 - 4200.9

    = 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}

Sin P = 0.3

P = Sin^{-1} 0.3\\

P = 17.5°

∠R = 180 - (19 + 17.5)

    = 143.5°

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2 years ago
Juan put three square tiles with sides 8 centimeters, 10 centimeters, and x centimeters together so that they form a right trian
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Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to x^{2}.
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where the opposite side's length is 8 and the hypotenuse side's length is 10
by substituting by the values in equation (2) therefore,
x^{2} = 10^{2} - 8^{2} substitute this value in equation (1) then
A = x^{2} = 10^{2} -8^{2}
where A is the area of the square whose side is x
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Combine like terms
8x+24=x+5
subtract x from both sides

8x+24=x+5
-x -x
7x+24=5
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7x+24=5
-24 -24
7x = -19
divide 7 from both sides
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7x/7 = -19/7

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3 years ago
Help me please I'm really confused
Vanyuwa [196]
The answer is (a).  hopefully this answers your question
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