Mathematics High School

In ΔQRS, q = 9.4 cm, r = 8 cm and ∠S=151°. Find ∠Q, to the nearest 10th of a degree.

Answers

Answer 1

9514 1404 393

Answer:

  15.7°

Step-by-step explanation:

The law of cosines can be used to find side s:

  s² = r² +q² -2rq·cos(S)

  s² = 8² +9.4² -2(8)(9.4)·cos(151°) ≈ 283.903

  s ≈ 16.849

Then the law of sines can be used to find angle Q.

  sin(Q)/q = sin(S)/s

  sin(Q) = (q/s)sin(S)

  Q = arcsin(q/s·sin(S)) = arcsin(9.4/16.849·sin(151°)) ≈ 15.692°

Angle Q is about 15.7°.

In QRS, Q = 9.4 Cm, R = 8 Cm And S=151. Find Q, To The Nearest 10th Of A Degree.

Related Questions

A, B, and C are three points on a line. AC = 8, BC = 4,
and AB = 12. Which point must be between the other two
points?

Answers

abc/cba/bca

i’m not completely sure though, just a guess. hope this helps

PLEASEEE help!!! i dont remember how to do these

Answers

Answer:

22. the answer is 27n^2 m^5 s^6 / 32

23. the answer is -7

Step-by-step explanation:

Find each side of the triangle if the perimeter is 46
2x + 6
2(x – 4)
x + 3

Answers

Answer:

s+s+s =p

2x+6+2(x-4)+x+3=p

2x+ 6 + 2x-8+x+3=p

Jake and his little brother are buying a birthday gift for their grandmother. His brother can contribute $10. Let m be the amount of money Jake can contribute.

A. Write an expression that represents how much Jake and his brother will spend combined.



B. Write an equation that models the situation if they want to spend $25 altogether.



C. Solve the equation to find out how much Jake must contribute if they spend $25.

Answers

Answer:

A. m+$10

B. m+$10=$25

C. m+$10=$25

m=$25-$10

m=$15

jake must contribute $15

Please someone help best answer gets brainleist

Answers

The answer would be A
Hope this help u :D
~ = not
-> = then

What is 695.5 rounded to the nearest whole number?

Answers

Answer:           696

Step-by-step explanation:

Watching a Helicopter Take Off At a distance of 58 ft from the pad, a man observes a helicopter taking off from a heliport. If the helicopter lifts off vertically and is rising at a speed of 55 ft/sec when it is at an altitude of 113 ft, how fast is the distance between the helicopter and the man changing at that instant? (Round your answer to one decimal place.)

Answers

The Pythagora´s Theorem, tell us that in a right triangle, the square of the hypothenuse (L²) is equal to :

L² = x² + y²

x  and y are the legs.

The solution is

dy/dt = 48.9 ft/s

We know that in a right triangle:

L²  = x² + y²      (1)

If the helicopter lifts off vertically, that means x ( the horizontal distance between the observing man and the helicopter, maintains constant).

According to that, if we get derivatives with respect to time on both sides of equation (1) we get:

2×L× dL/dt   = 0 + 2×y×dy/dt       (2)

And

L = √ ( 58)² + ( 113)²   = √12769 + 3364    = 127.02 ft

L = 127.02 ft   when y = 113 ft

Now in equation (2) we know:

y = 113 ft    dy/dt = 55 ft/s   L = 127.02  we look for dL/dt

Then by substitution

2×127.02 × dL/dt = 2×113×55

254.04× dL/dt   =  12430

dL/dt  = 48.92

dL/dt = 48.9 ft/s

Related Link : https://brainly.com/question/14988219?

Find the missing side of each triangle.

A) 15.5 mi
C) 20 mi
E) 12.2 mi
B) 15.8 mi
D) 14.7 mi

Answers

They answer is 12.t obeys

Answer:

The choice D) 14.7

Step-by-step explanation:

[tex] {(5.7)}^{2} + {(13.5)}^{2} = {x}^{2} \\ 32.49 + 182.25 = {x}^{2} \\ {x}^{2} = 214.74 \\ x = 14.65 \\ x = 14.7[/tex]

I hope I helped you^_^

is 812 and 946 relativly prime?​

Answers

No, they are not relatively prime.

what is the approximate value for 683 divided by 22

Answers

Answer:

31.04

Step-by-step explanation:

What is an equation of the line that passes through the point (-8, -1) and is
parallel to the line x – 4y = 4?

Answers

Answer:

y = 1/4x + 1

Step-by-step explanation:

x - 4y = 4

x - 4 = 4y

1/4x - 4/4 = y

1/4x -1 = y

Slope: 1/4

Point: (-8,-1)

y-intercept = -1 - (1/4)(-8)=

-1 + 2 = 1

WILL MARK BRAINLIEST!
Simplify 4x²+ x− (x²+x−2)

Answers

Answer:

3x²+2

Step-by-step explanation:

4x²+ x - (x²+x - 2)4x²+ x - x²-x+24x²-x²+x-x+23x²+2

PROBLEM SOLVING A water sample must be taken from water at least 20 feet deep. Find the depth of the water 50 feet

from shore.

50 ft

5 ft

21.5t

d

Not drawn to scale

The depth is

feet.

Is this an appropriate location for a water sample?

Answers

Using the principle of similar triangles, the appropriate depth to take the water sample should be 15 feets

Setting up the equation thus :

1.5 / d = 5 / 50

Cross multiply

1.5 × 50 = d × 5

75 = 5d

Divide both sides by 5

5d / 5 = 75/5

d = 15

Therefore, the appropriate depth to take the water sample is 15 feets.

Learn more : https://brainly.com/question/18112348

Pls help me fast!!!!!!!!!!!!

Answers

x=0 I think not 100% sure though

Answer: The equation has infinitely many solutions.

Step-by-step explanation:

With George's end result of 3=3, you can assume that the equation is set up in such a way that no matter what you plug in, you will get the same number on both sides of the equals sign, which means the solution is valid. Therefore this means that there are an infinite number of solutions.

john bought a full basket of mangoes when he got home he realised 12 out of the 20 mangoes he bought are bad what is the probability of the good ones​

Answers

12/20 mangoes are bad so 8/20 mangoes are good and to convert to a percentage we make the denominator 100.
To make 20 to 100 we times by 5 so we do the same to the numerator which is 8
So 8x5 = 40%
Give me brainliest answer plz
And hope it helps!

What is -6x multiplied by y

Answers

✿ ✿ ✿ ✿ ✿ [tex]Hi! :)[/tex] ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶

[tex]QUESTION:[/tex]

What is -6x multiplied by y?    ✱  ✱  ✱  ✱  ✱

[tex]ANSWER:[/tex]  

[tex]-6xy[/tex]

Hope this helps you!

Good luck on your assignment & enjoy your day!

[tex]GraceRosalia[/tex]

~Just an emotional teen who listens to music

What’s the answer for 6 and 7???

Answers

6. 39
7. 22 are your asnwers

evaluate -0.75(p - 1.2) for p = 2

Answers

Answer:

[tex] - .75(p - 1.2) \\ p = 2 \\ - .75(2 - 1.2) \\ = - .75(.8 ) \\ = .6 \\ thank \: you[/tex]

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Let's evaluate :

[tex] - 0.75(p - 1.2)[/tex]

[tex] - 0.75(2 - 1.2)[/tex]

[tex] - 0.75(0.8)[/tex]

[tex] - 0.6[/tex]

I have to do this again because it didn’t show my picture

Answers

Answer to the second question.

9

Step-by-step explanation:

3⁴ simply means 3×3×3×3=81

3² 3×3=9

81/9=9

Find and correct the error!

Answers

Answer:

Step-by-step explanation:

Jen 's drawing shows that the lines are parallel in fact they are not parallel !  Since their slopes are not equal !

[tex]\displaystyle \left \{ {{y=2x+3} \atop {-y=2x+1}\ \ |\cdot (-1) } \right. => \left \{ {{y=\boldsymbol {2}x+3} \atop {y=\boldsymbol {-2}x-1}} \right. => -2\neq 2[/tex]

They will intersect at point A with coordinates  :

[tex]2x+3=-2x-1 \\\\ 4x=4 \\\\ x=-1 \ ; \ y=1 => A(-1 \ ; \ 1)[/tex]

please answer, it’s a test

Answers

Answer:

A

Step-by-step explanation:

The inverse of 2x would be 1/2 x and the inverse of +6 would be -6.

Practicing quick shots, Roberto made three baskets in ten seconds. At

this rate, how many baskets could he make in one minute?

Answers

Answer:

18 baskets in a minute

Step-by-step explanation:

First, ten seconds is 1/6 of a full minute, so multiply the amount of baskets he made in ten seconds by 6 to get your answer:

3 x 6 = 18

8 /13 convert the following rational number into decimal form​

Answers

Answer:  0.615

Step-by-step explanation:

actually do the division.

you will need a calculator most of the time.

8/13 = 0.615

True or false: f(x) is a function.
0,5,10,15
0,1,2,3

Answers

False, 5 has multiple outputs

Answer:

False.

Step-by-step explanation:

No f(x) is not a function because it is  a one-to-many relation

Note that  5 maps to 1 and 3 so this is not a function.

Help plz i’ll give brainliest

Answers

Answer:

A is the correct answer.

Step-by-step explanation:

The translation is (-3, 6). this means you move each coordinate left three and up 6.

You could also subtract 3 from each x-coordinate and add 6 to each y-coordinate.

20.35 - 08.57 - 09.99 ​

Answers

Your answer will be 1.49

Answer: 1 .79

Step-by-step explanation:

Write the equation of the line in slope-intercept form that passes through the given points.
(-1, 8) and (5,-2)

Answers

Answer:

y = -5/3x + 19/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - 8 / 5 - (-1)

-10/6

= -5/3

y = -5/3x + b

8 = -5/3(-1) + b

8 = 5/3 + b

19/3

6-x-3=4x+12 solve for x

Answers

Answer: x =-9/5

Step-by-step explanation:

How do you solve the problems no links if it is wrong I know

Answers

Answer:  350

Step-by-step explanation:

You can see how each number is multiplied by 7. You can take 50x7 to now get 350

you take the top number which is 50 bc it’s on top of that box, and then 7 because that’s the side number and multiply them together

what is 0.95 as a simplified fraction?

Answers

Answer:

19/20

Step-by-step explanation:

A "simplified fraction" in this case is the ratio of two integers.

0.95 = 95/100 (the ratio of two integers), which in turn can be simplified:

95/100 = 19/20

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