1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mel-nik [20]
3 years ago
9

In ΔOPQ, q = 83 inches, p = 80 inches and ∠P=70°. Find all possible values of ∠Q, to the nearest degree

Mathematics
1 answer:
dsp733 years ago
3 0

Answer:

77.12°

Step-by-step explanation:

Given that:

In triangle OPQ

∠P=70°

line q = 83 inches

line p = 80 inches

To find ∠Q; we use the since rule:

\dfrac{Sin \ Q}{q} = \dfrac{Sin \ P}{p}

\dfrac{Sin \ Q}{83} = \dfrac{Sin \ 70}{80}

Sin \ Q= \dfrac{Sin \ 70 \times 83}{80}

\text{Sin \ Q= 0.9749}

Q=Sin ^{-1}( 0.9749)

\mathbf{Q = 77.12^0}

You might be interested in
How do you figure out 9a divide by a
Nikitich [7]

9/1 and then your answer would be 9 and then add the a so your full answer would be 9a

8 0
3 years ago
Find the reference angle for -369°
Ksenya-84 [330]
My guess would be guess A
3 0
3 years ago
Read 2 more answers
You inherit $1000, but spends $8 each day at lunch. How many days until you have $768
schepotkina [342]

Answer:

29 days

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the other endpoint of the line segment with the given endpoint and midpoint? Endpoint (3,1) midpoint (-10,-5)
Sav [38]
(-23,-11) is the other endpoint due to (a+b/2)
3 0
3 years ago
You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar
Verizon [17]

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

P=2(x+y)

we have

P=42\ ft

so

42=2(x+y)

simplify

21=(x+y)

y=21-x------> equation A

Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

Find the value of y

y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

A=(10.5)(10.5)=110.25\ ft^{2} ----> is equal to the y-coordinate of the vertex is correct

6 0
3 years ago
Other questions:
  • Helppp plz help need help
    13·2 answers
  • What number goes in the missing space?
    11·2 answers
  • Find two unit vectors orthogonal to a=⟨−2,−4,−2⟩a=⟨−2,−4,−2⟩ and b=⟨−3,5,2⟩b=⟨−3,5,2⟩ Enter your answer so that the first non-ze
    8·1 answer
  • If p=8, evaluate 4^2 / px3
    14·1 answer
  • This figure is made from squares and a part of a circle.
    8·1 answer
  • State whether the decay is linear or​ exponential, and answer the associated question. The value of a car is decreasing by 9​% p
    9·1 answer
  • 2: Shariyah saved $50 in September. She saved $48 in October and $45 in November. Then Shariyah spent $58 on a video game. How m
    11·2 answers
  • Which criteria for triangle congruence can be used to prove the pair of triangles below are congruent?
    10·2 answers
  • Please help :( I will mark brainliest.
    10·1 answer
  • 2<br> 5p +<br> 3 4<br> +<br> 5 5<br> 15<br> Solve it
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!