Mathematics High School

In PQR, Q= 76, PQ = 18, and QR = 27
Please find angle P, T and PR for 5

In PQR, Q= 76, PQ = 18, And QR = 27 Please Find Angle P, T And PR For 5

Answers

Answer 1

Answer:

Step-by-step explanation:

Given:

m<Q = 76°

PQ = r = 18

QR = p = 27

Required:

Find P, T, and PR (q)

Solution:

✔️To find PR(q), apply the Law of Cosines.

Thus:

q² = r² + p² - 2rp×cos(Q)

Plug in the values

q² = 18² + 27² - 2×18×27×cos(76)

q² = 1,053 - 235.148

q² = 817.852

q = √817.852

q = 28.6 (nearest tenth)

✔️Find P by applying the Law of Sines:

[tex] \frac{sin(P)}{p} = \frac{sin(Q)}{q} [/tex]

Plug in the values

[tex] \frac{sin(P)}{27} = \frac{sin(76)}{28.6} [/tex]

[tex] sin(P) = \frac{sin(76)*27}{28.6} [/tex]

[tex] sin(P) = 0.9160 [/tex]

[tex] P = sin^{-1}(0.9160) [/tex]

P = 66.3° (nearest tenth)

✔️R = 180 - (P + Q)

R = 180 - (66.3 + 76)

R = 37.7°

Related Questions

Solve for x, rounding to the nearest tenth if necessary.

Answers

Answer:

Pythagorean theorem: a^2 + b^2 = c^2, a and b are the sides, c is the hypotenuse (longest side).

27^2 + 25^2 = x^2

Solving for x, we see that it is approximately 36.8.

Let me know if this helps!

Raju is painting the walls and ceiling of a room with length, breadth and height of the room are 10m, 5m, 2m respectively. From each can of paint, 10m2 of area is painted. How many cans of paint will he need to paint the room?

Answers

Answer:

10 cans of paint

Step-by-step explanation:

Find the total area of the room

Divide the answer by 10meter squared.

How can you tell that (448 + 217 + 34) × 9 is three times as large as (448 + 217 + 34) × 3 without doing complicated calculations?

Answers

I can tell that (448+217+34) x9 is 3 times larger than (448+217+34) x3 because the number inside the equations are being multiplied by 9 which is 3 times bigger than 3 ( the number being multiplied in the 2nd one)(3x3)

The hall has 10 windows that measure 2m across and 2m high. It also has 4
doors that measure 2m high and 1,8m across
i)
What is the area of all four walls in the hall (including all windows and
doors)?​

Answers

Multiply all of that and that’s your answer

ali is paid $200 for working 8 hours.How much is he paid for working 6 hours?​

Answers

Answer:

$150

Step-by-step explanation:

Hey! The answer is 150.
This is because he is paid 25 dollars an hour. So to figure out what he is paid for 6 hours, we need to multiply 6x25 which equals 150.

Hope this helps!! Have a great day!! :)

question is attached​

Answers

Your picture isn’t popping up

Mark spent $60 dollars on 4 shirts. How much was one shirt

Answers

Mark spent 15$ for one shirt
Answer is $15 one shirt
60/4
15

Mary bought 5 pairs of gloves and 2 hats for $95. Mary received a text from her friend Joanna ask her to buy 4 pairs of gloves and a hat. Mary told Joanna that the cost was $70. How much does each pair of gloves cost? How much does the hat cost?

Answers

Answer: Each pair of gloves costs $15 and each pair of hat costs $10.

Step-by-step explanation:

Let x = Cost per pair of gloves

y= Cost per hat.

As per given, we have

[tex]5x+2y=95 \ \ \ \ (i)\\4x+y=70\ \ \ \ \ (ii)[/tex]

Multiply (ii) by 2 , we get

[tex]8x+2y=140\ \ \ \ (iv)[/tex]

Eliminate (i) from (iv), we get

[tex]3x=45\\x=15[/tex]

Put this in (ii), we get

[tex]4(15)+y=70\\60+y=70\\y=10[/tex]

Hence, each pair of gloves costs $15 and each pair of hat costs $10.

Find the first three terms of the sequence below.
Tn = 3n^2- 4n - 3

Answers

Answer:

Look on the internet , It's easy

What is the zero of r(x)=8/3x−16

6

−16

16

−6

Answers

Answer:c

Step-by-step explanation:

I took the test

Find a, b and h so that f(x)= asin(b(x-h)). Round to two decimal places if necessary.
f(x)= sin 2x – 3 cos 2x
a.
a = 0.62
b=4
h = 3.16
b.
a = 3.16
b = 2
h = 0.62
c.
a = 3.16
b = 4
h=0.95
d.
a = 1.41
b=2
h= 0.62

Answers

Answer:

The answer is B

Step-by-step explanation:

I'm on edenuity too

The given function is f(x)= asin(b(x-h)) Thus, option B is the correct match for the values.

What are the six trigonometric ratios?

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

The given function is f(x)= asin(b(x-h)) where we have to find the value of a , b and h.

f(x)= sin 2x – 3 cos 2x

If we substitute the value of a, b and h then we get the same solution for both the equation.

a = 3.16

b = 2

h = 0.62

Thus, option B is the correct match for the values.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

#SPJ2

As an estimation we are told 5 miles is 8 km.
Convert 25.9 km to miles.

Answers

Answer:

15 miles i think but i think is a True

The first term of an arithmetic sequence is six. The fifth term of the sequence is -14. th Write a rule that can be used to find the nth term.​

Answers

Answer:

[tex]a_{n} = 11 - 5n[/tex]

Step-by-step explanation:

use the formula

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

-14 = 6 + (5 - 1)d

-14 = 6 + 4d

-20 = 4d

d = -5

[tex]a_{n} = 6 + (n - 1)(-5) = 6 - 5n + 5 = 11 - 5n[/tex]


Multiply out and simplify (x - 6)²
Select your answer.
A x2 - 6x + 36
B x² + 12x - 36
C x²- 12x + 36
D x² - 12x - 36

Answers

C is the correct answer

(x - 6) (x - 6) = x^2 - 6x - 6x + 36
= x ^2 -12x + 36

okay this is my last one.. I think dfghmhgfd

Answers

○=> Correct option :[tex]\color{plum}\tt\bold{(B)}[/tex]○=> Steps to derive correct option :

We know that :

[tex]\color{hotpink} \tt \: circumference \: of \: a \: circle\color{plum} = 2\pi r[/tex]

So, let the diameter of this circle be x.

Which means :

[tex] =\tt2 \times \pi \times r[/tex]

[tex] =\tt 2 \times x \times \pi = 12\pi[/tex]

[tex] =\tt 2x\pi = 12\pi[/tex]

[tex] =\tt x = \frac{12}{2} [/tex]

[tex] = \tt \: x = 6 \: m[/tex]

Thus, the radius of the circle Robert drew = 6 m

Since the circle in option B has a radius of 6 m, it is the circle Robert drew.

▪︎Therefore, the correct option is (B)

This is sooooo confusing........................................

Answers

Answer:

i dont know :(

Step-by-step explanation:

i dont know :(

1. Yes 2. No 3. No 4. Yes

find the surface area of the cube below.

Answers

Answer:

150

Step-by-step explanation:

surface area =6a^2

= 6(5^2)

= 6×25

=150

Answer:

150 cm²

Step-by-step explanation:

So, firstly we must understand what does total surface area means (T.S.A)

We intuitively know that, it means,

Area of 6 EQUAL faces.

So,

Edge of the cube = 5 cm

Area of 1 face= 5 × 5= 25 cm²

Area of 6 faces= 25 × 6= 150 cm².

So, that means,

T.S.A= 150 Cm²

Ivanna made $133 for 7 hours of work. At the same rate, how many hours would she have to work to make $228?​

Answers

The answer is 12 duh

How do I find what AC is?

Answers

Answer:

sqrt(882) or 29.698

Step-by-step explanation:

AD^2 + DC^2 = AC^2

sqrt(21^2+21^2) = 29.698

Write in point-slope form an equation of the line that passes through the point (9, 3) with slope 6

Answers

Answer:

Step-by-step explanation:

y-3 = 6(x-9)

Which equation can be used to solve for x in the following diagram?

Answers

Answer:

4x-20 = 60

Step-by-step explanation:

4x-20=60. Hope this helps

There are four blue and four green shirts in your closet. What is the probability you grab a blue shirt to wear on Monday?

Experimental or Theoretical?

Answers

Answer:

1/2

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Answers

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Y= 4.5x + 5

Extra:
Y intercept would be (0,5)

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Answers

Answer:

won't it make 30 smoothies

Step-by-step explanation:

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Answers

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Answer:

Her garden is 147 square feet.

Find the length of the third side. If necessary, round to the nearest tenth.
6
14

Answers

Answer:

≈ 12.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the third side, then

x² + 6² = 14²

x² + 36 = 196 ( subtract 36 from both sides )

x² = 160 ( take the square root of both sides )

x = [tex]\sqrt{160}[/tex] ≈ 12.6 ( to the nearest tenth )

How many ways can you choose a manager and assistant from 7-person task force? *​

Answers

We are interested in selecting 2 people from the 7-person task force.

n = 7
r = 2

nPr = n! / (n-r)!

7!
------
(7-2)!

=
7!
----
5!

7×6×5×4×3×2×1
------------------------
5×4×3×2×1

= 7×6

= 42

Pls answer ASAP or I’ll fail pls hurry

Answers

It’s C. divide the diameter by 2 which is 12.2. then it’s pi • r^2. so 3.14 • 12.2^2 =467.36

Answer:

467.36 m^2 (maybe)

Which of the following is not a possible answer to a probability question?
00
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O 120
O 2/3

Answers

Answer:

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a pizza is removed from an over at 425°F. after 15 minutes, the pizza has cooled to 200°F

Answers

Answer:

sorry if im reading it wrong but...whats the question here??

Step-by-step explanation:

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