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
MariettaO [177]
3 years ago
5

In ΔOPQ, the measure of ∠Q=90°, PQ = 3.6 feet, and OP = 9.1 feet. Find the measure of ∠P to the nearest tenth of a degree.

Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Step-by-step explanation:

\because \cos \:  \angle P  =  \frac{PQ}{OP}    \\  \\  \therefore \: \cos \:  \angle P  =  \frac{3.6}{9.1}    \\  \\  \therefore \: \cos \:  \angle P  = 0.3956 \\  \\ \therefore \: \cos \:  \angle P  = \cos \: 66.6966 \\  \\  \huge \red{ \boxed{\therefore \:  \angle P  = 66.7 \degree}}

You might be interested in
A rectangular safe can hold 5,184 cubic inches. Gold bars that are 3 inches by 6 inches by 2 inches fit to completely fill the s
julsineya [31]

Volume = length x width x height:

Volume = 3 x 6 x 2 = 36 cubic inches.

5 0
3 years ago
Read 2 more answers
Approximately how long is a leg of an isosceles right triangle that has a hypotenuse of length 11.31
Lapatulllka [165]

Answer:

Leg of an isosceles right triangle is 7.99 long.

Step-by-step explanation:

Given:

Length of the hypotenuse =11.31

To find:

Length of the leg of an isosceles right triangle =?

Solution:

According to Pythagorean's Theorem, we have

a^2 +b^2 = c^2-----------------------------(1)

Here were are given as isosceles triangle, so the two sides will be of same length

So equation 1 can be rewritten as

a^2 +a^2 = c^2

2a^2 = c^2

Substituting the value of hypotenuse

2a^2 = (11.31)^2

2a^2 = 127.91

a^2 = \frac{127.91}{2}

a^2 =63.955

a = \sqrt{63.955}

a = 7.99

7 0
3 years ago
7 freshmen, 9 sophomores, 8 juniors, and 8 seniors are eligible to be on a committee.
Setler79 [48]

Answer:

i)32C16

ii)1185408

<em><u>Explanation</u></em><em><u>:</u></em>

i)Total number of selected/eligible is 7+9+8+8=32

Total ways of selecting dance committee of 16 is

<em><u>3</u></em><em><u>2</u></em><em><u>C</u></em><em><u>1</u></em><em><u>6</u></em>

ii)Total ways of selecting 3 seniors from 8 is 8C3

and Total ways of selecting 6 juniors from 8 is 8C6

ways of selecting 2 sopho from 9 is 9C2

ways of selecting 5 freshman from 7 is 7C5

now, total way of selection come to be

8C3×8C6×9C2×7C5

=56×28×36×21

=1185408

✌️

6 0
3 years ago
Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her total bill before the tip? En
IrinaVladis [17]

Answer: $20.5

Step-by-step explanation:

Let x  denotes the amount for total bill.

We are given that ,  Sierra left $4.50 as a tip for a waiter.

This was 18% of the bill before the tip.

We can write 18% = 0.18. [To convert percent into decimal we divide it by 100.]

Then, the tip amount = 0.18 x Total bill

\Rightarrow\ 4.5=0.18x\\\\\Rightarrow\ x=\dfrac{4.5}{0.18}=25

So, the total bill amount = $25

Hence, her total bill before the tip= Total bill amount - Tip amount

= $25- $4.50=$20.5

Thus ,her total bill before the tip= $20.5

6 0
3 years ago
What is f(x) + f(x) + f(x)?
siniylev [52]

its 3f(x) i just answered it

5 0
4 years ago
Other questions:
  • Can I have some help with this one thanks
    9·2 answers
  • An airplane is flying at 35,000 feet above sea level airplane started to send a rate of 2500 ft./min. after five minutes how man
    7·1 answer
  • Compute the exact value of the function for the given x-value without using a calculator. Show your work for full credit. (2 poi
    12·2 answers
  • a speedboat that costs $45,000 is depreciating at a rate of 20% per year. Find the value of the boat after 4 years.
    8·1 answer
  • PLEASE HELP I WILL GIVE BRANLIEST IF YOUR ANSWER IS CORRECT!
    9·2 answers
  • PLEASE HELP ILL GIVE YOU BRAINLIST !!! I DONT UNDERSTAND THIS
    9·2 answers
  • kay Kay walks upstairs to make her legs stronger. Every day at work, she walks up 9 flights of stairs. If there are 13 steps in
    12·2 answers
  • Pls help with this problem!
    15·1 answer
  • 10
    11·1 answer
  • HELP PLEASE DUE IN 3 MINUTES
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!