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
Paha777 [63]
3 years ago
10

Use the Law of Sines to find the measure of angle R to the nearest degree.

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0
\frac{\sin(R)}{PQ} = \frac{\sin(Q)}{PR}

\frac{\sin(R)}{24.7} = \frac{\sin(43^{\circ})}{16.9}

\sin(R) = 24.7*\frac{\sin(43^{\circ})}{16.9}

\sin(R) \approx 0.9967668

R \approx \arcsin(0.9967668)

R \approx 85.39137896^{\circ}

R \approx 85^{\circ}

The final answer is 85 degrees
You might be interested in
It takes 30 tomatillos to make 8 ounces of
Vladimir79 [104]

Answer: 45 tomatillos

Step-by-step explanation: 30 tomatillos divided by 8 ounces is 3.75 tomatillos per ounce. So, multiply 3.75 by 12 ounces. What do we get? 45 tomatillos!

3 0
3 years ago
Read 2 more answers
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
3 years ago
What's the next number 2 3 5 7 11 13 17
maw [93]
The sequence 2, 3, 5, 7, 11 are the first five prime numbers. A prime number is a positive integer which has exactly 2 positive integer factore, one factor being 1 and the other factor is the positive number itself. So the next prime numbers after 11 are 13, then 17, 19, 23, 29, 31, 37, 41, 43
4 0
3 years ago
Read 2 more answers
If (a+7,b+3)=(0,7)find a and b​
Lerok [7]
A+7=0
A+7-7=0-7
A=-7

B+3=7
B+3-3=7-3
B=4
3 0
3 years ago
Someone please help me in this please.
yan [13]

Answer:

for the number 13

Step-by-step explanation:

x =   \sqrt{9 { }^ {2} + 6 { }^{2}  }

by Pythagoras theorem

x= √81+36

x= √117

punch square root of 117 with a calculator, I don't have one now

7 0
2 years ago
Other questions:
  • What is p if 8/p = 3/14
    5·1 answer
  • Write y = 4/5x 8 in standard form using integers
    6·1 answer
  • Find the value of x.
    11·1 answer
  • Number 2 please I don’t know how to do this
    9·1 answer
  • En una camioneta se pueden transportar 28.5 kilogramos. ¿ Cuántas camionetas se necesitan para transportar 484.5 Kg?
    12·1 answer
  • Another question, what is 94939423^2 have fun!
    8·2 answers
  • Will give brainliest to first correct answer! are these similar or not
    13·2 answers
  • Two of what geometric figures are joined at a vertex to form an angle
    5·2 answers
  • Find the value of x for which m||n
    7·1 answer
  • Amy has 4 pound of ground pork to make meatballs she uses 3/8 pound per meatball to make 9 meatballs.how many 1/8 pound meatball
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!