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
AlladinOne [14]
2 years ago
15

Please help me im stuckkm

Mathematics
2 answers:
Marrrta [24]2 years ago
8 0

Answer:

Below in bold.

Step-by-step explanation:

(a) Using the Pythagoras theorem:

30^2 = 21^2 + p^2

p^2 = 30^2 - 21^2 = 459

p = √459

  = 21.4 cm to nearest tenth.

(b) cos P = 21/30 = 0.70

   m < P = 45.57 degrees to nearest hundredth.

Trava [24]2 years ago
3 0

Answer:

a)  p = 21.4 cm (nearest tenth)

B)  P = 45.6° (nearest tenth)

Step-by-step explanation:

As triangle PQR is a right triangle, we can use Pythagoras Theorem to find the length of p.

<u>Pythagoras Theorem </u>

a^2+b^2=c^2

where:

  • a and b are the legs of the right triangle
  • c is the hypotenuse (longest side) of the right triangle

From inspection of the triangle:

  • a = PQ = 21
  • b = QR = p
  • c = PR = 30

<u>Substitute</u> the given values into the formula and solve for p:

\implies 21^2+p^2=30^2

\implies 441+p^2=900

\implies 441+p^2-441=900-441

\implies p^2=459

\implies \sqrt{p^2}=\sqrt{459}

\implies p=\pm 3\sqrt{51}

As p is the length, p can be positive only.

Therefore, p = 21.4 cm (nearest tenth)

To find the <u>angle P</u>, use the cosine trigonometric ratio.

<u>Cosine trigonometric ratio</u>

\sf \cos(\theta)=\dfrac{A}{H}

where:

  • \theta is the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

From inspection of the triangle:

  • \theta = P
  • A = PQ = 21
  • H = PR = 30

<u>Substitute</u> the given values into the formula and solve for P:

\implies \sf \cos P=\dfrac{21}{30}

\implies \sf P=\cos^{-1}\left(\dfrac{21}{30}\right)

\implies \sf P=45.572996^{\circ}

Therefore, the measure of angle P is 45.6° (nearest tenth).

Learn more about Pythagoras Theorem here:

brainly.com/question/27648540

Learn more about trigonometric ratios here:

brainly.com/question/26861422

You might be interested in
2x+4y=1 3x-5y=7<br><br> Find the value of x and y<br><br> Thank you
Rashid [163]

Answer:


2x+4y=13x-5y=7

Too Many Equal Signs



............... V

   2x+4y=13x-5y=7


Program Execution Terminated


 

Tiger was not able to solve for your input:2x+4y=13x-5y=7

Submit your own solution!Step-by-step explanation:


8 0
3 years ago
What is the estimate difference between 2.97 1 2/11​
zheka24 [161]

Answer:

2

Step-by-step explanation:

Estimate 1 2/11 to 1.

Estimate 2.97 to 3.

3 - 1 = 2

3 0
3 years ago
You have the first season of your favorite television show on a set of DVDs. The set
Misha Larkins [42]

Answer: There are 45 combinations.

Step-by-step explanation:

If the order in which you watch the episodes does not matter, then we can use the combinatory defined as:

If we have N elements, and we want to make groups of K elements, we have

C(N,K) = \frac{N!}{(N-K)!*K!}

combinations.

In this case, we have a total of N = 10 episodes, and we want to make groups of  K = 2.

Then we have:

C = (10, 2) = \frac{10!}{8!*2!} = (10*9)/(2) = 5*9 = 45

There are 45 combinations.

8 0
3 years ago
I NEED IT FAST
djverab [1.8K]

Answer:

  1. r little 4  t little 2
  2. ------------------------
  3.            4
  4. sorry it didn't let me right it correctly

Step-by-step explanation:

8 0
3 years ago
Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why.
konstantin123 [22]

Answer:

C

Step-by-step explanation:

No, she multiplied the exponents instead of adding them.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can some one help me im confused
    10·2 answers
  • Carmen measured a room to be 10 1/2 feet by 12 5/8 feet. what is the area of the room written as a decimal?
    8·1 answer
  • Which equation below gives an incorrect value for the function k(x) = 512x?
    9·1 answer
  • Please Please Please help me out and answer
    11·1 answer
  • a metal bar weighs 80 ounces. 90% of the bar is silver. how many ounces of silver are in the bar? (round to the nearest thousand
    14·1 answer
  • What is the slope-intercept form of the linear equation 4x + 2y = 24? Drag and drop the appropriate number, symbol, or variable
    7·1 answer
  • Help me pleaseeeeeeeeeeeee
    7·1 answer
  • A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card be
    7·1 answer
  • Is y= 2x (linear or nonlinear)
    11·2 answers
  • Under certain conditions, the number of bacteria present in a colony is approximated by f(t) = Age 0.023t, where t is in minutes
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!