In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot

Answers

Answer 1

SOH-CAH-TOA

sin Q     =    Opposite     =    26

                 hypotenuse          x

sin 54   =     26

                     x

x sin 54 = 26

x sin 54      =         26    

sin 54                sin 54

x =        26      =    32.1378  ≈  32.1 feet

          sin 54


Related Questions

Please tell me how to do it

Answers

Answer:

3 sqrt(13)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

6^2 + 9^2 = c^2

36+81 = c^2

117 = c^2

Take the square root of each side

sqrt(117) = sqrt(c^2)

sqrt( 9*13) = c

sqrt(9) sqrt(13) =c

3 sqrt(13) =c

PLEASE HELP
Find the slope of the line passing through
the points (-3,-3) and (5. 5) using the
slope formula.

Answers

Answer:

slope = 1

Step-by-step explanation:

-3 | -3

5  | 5

_____

8  | 8

8/8= 1

Caroline works 18 hours a week at a restaurant and earns $8.25 per hour. She also earns tips, which are 15% of her food sales. In one week, she earned $263.25.

Write an equation to find x, her total food sales for that week.
8.25 (FILL IN THE ANSWER) + (FILL IN THE ANSWER)x = 263.25

A. 0.15
B. 0.18
C. 8.25
D. 15
E. 18

Answers

Answer:

she earns 14.28 per hour and 6.75 each time.

Step-by-step explanation:

Help please!
Write an inequality that represents the situation. A cat weighs less than 8 pounds.

Answers

Answer:  w < 8

w is a place holder for the cat's weight. It's some positive real number.

To describe all weights less than 8, we simply write w < 8.

For example, let's say the cat weighs 5 pounds. This would mean w = 5. In other words, 5 replaces w and we go from w < 8 to 5 < 8. This is a true inequality because 5 is smaller than 8.

Something like 10 < 8 is false because 10 is not less than 8. So w = 10 is not a solution to w < 8.

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Expanded: 4x^2+20x+25

When simplified it changes back, (2x+5)^2

Step-by-step explanation:

Answer:

4x² + 20x + 25

Step-by-step explanation:

Given

(2x + 5)²

= (2x + 5)(2x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x + 5) + 5(2x + 5) ← distribute both parenthesis

= 4x² + 10x + 10x + 25 ← collect like terms

= 4x² + 20x + 25

what is the power to 2​

Answers

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

what function is the sequence 5, 10, 15, 20, 25, 30

Answers

its f(x)=5x+5 (this is filling spaceskalekkejdkskwnedododkw)

Answer:

a[tex]n[/tex]=5n

Step-by-step explanation:

12 m
15 m
8 m
5 m
5 m

Answers

45 because 12+15+8+5+5=45

Can somebody good at math help me with these please I would really appreciate it

Answers

Answer:

1) The discount is $4.05

The sale price is $18.45

2) The discount is $10

The sale price is $30

3) The discount is $2.6

The sale price is $23.4

Step-by-step explanation:

1) What is the discount and sale price for a haircut that originally cost $22.50 with an 18% discount.

Actual Price= $22.50

Discount = 18%

Finding discount:

[tex]18\%\:of\:22.50\\=\frac{18}{100}\times 22.50\\=4.05[/tex]

So, the discount is $4.05

Finding Sale Price

The sale price can be found by: [tex]Sale\;Price=Actual\:Price-Discount[/tex]

Putting values and finding sale price:

[tex]Sale\:Price=22.50-4.05\\Sale\:Price=18.45[/tex]

The sale price is $18.45

2) What is the discount and sale price for a sweatshirt that originally priced $40.00 with an 25% discount.

Actual Price= $40.00

Discount = 25%

Finding discount:

[tex]25\%\:of\:40.00\\=\frac{25}{100}\times 40.00\\=10[/tex]

So, the discount is $10

Finding Sale Price

The sale price can be found by: [tex]Sale\;Price=Actual\:Price-Discount[/tex]

Putting values and finding sale price:

[tex]Sale\:Price=40.00-10\\Sale\:Price=30[/tex]

The sale price is $30

2) What is the discount and sale price for a large pizza that originally cost $26.00 with an 10% discount.

Actual Price= $26.00

Discount = 10%

Finding discount:

[tex]10\%\:of\:26.00\\=\frac{10}{100}\times 26.00\\=2.6[/tex]

So, the discount is $2.6

Finding Sale Price

The sale price can be found by: [tex]Sale\;Price=Actual\:Price-Discount[/tex]

Putting values and finding sale price:

[tex]Sale\:Price=26.00-2.6\\Sale\:Price=23.4[/tex]

The sale price is $23.4

Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willie spent $116 on 12 daylilies and 4 pots of ivy. Anjali spent $60 on 6 daylilies and 3 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy

Answers

Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2

Step-by-step explanation:

Step 1

let day lilies be rep as d

and ivy be represented as i

So that The expression for what Willie spent on  12 day lilies and 4 pots of ivy = $116 be

12 d+ 4i = 116 ---- equation 1

and for Anjali spending  $60 on 6 day lilies and 3 pots of ivy be

6d+ 3i = $60------ equation 2

Step 2 --- Solving

 12 d+ 4i = 116 ---- equation 1

6d+ 3i = $60------ equation 2

Multiply equation 2 by (2) and subtracting equation 1  from it

12d+ 6i= 120

--12 d+ 4i = 116

2 i= 4

i = 4/2 = 2

TO find d, putting the value of i = 2 in equation 1 and solving

12d+ 4(2) = 116

12d= 116-8

12d= 108

d= 108/12= 9

Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2

Find the slope of the graph below* Help me out ty

Answers

Answer:

-1

Step-by-step explanation:

When the line is slanting down it means its negative.

The answer is M = -1

The scale factor from the large triangle to the small triangle is 3:1 What is the length of side x of the smaller triangle?​

Answers

Answer:

10 i guess

cause

8*3=24

3*10=30

Step-by-step explanation:

Since the scale factor of the large to small triangle is 3 : 1, the side lengths of the small triangle are 1/3 of the big triangle side lengths. (such as 8 compared to 24)

Therefore 3x = 30 and x = 10.

Lucky is making bread. Lucky took 4 hours to knead the dough. The dough was made up of 8 kilograms of flour. How long will it take Lucky to knead 40 kilograms of flour?

Answers

Answer: 20 hours

In 1 hour it would make 2 kilograms so 40/2 is 20

Answer: 20 hours

Step-by-step explanation:

Multiply the 4 hours and 8 kg by 5 individually and you’ll get 40kg and 20 hours

Find the square root of 1010001 base two,leaving ur answer in base​

Answers

Answer:

1001 in base 2.

Step-by-step explanation:

1010001

= 1 + 2^4 + 2^6

= 1 + 16 + 64

= 17 + 64

= 81  in base ten.

Square root of this is 9

In base 2 this is 1001

really simple math question, pls help

Answers

Answer:

Quadrilateral

Step-by-step explanation:

No sides are parallel so it's not a trapezoid

If the sales tax rate is 8%, how much tax would Luis pay for a pair of pants for $18 and two shirts for $9.99 each?

Answers

Answer:

$3.04 (rounded to nearest cent)

Step-by-step explanation:

Total cost without tax = $18 + $9.99 × 2

                                    = $37.98

Tax = [tex]\frac{8}{100}[/tex] × $37.98

      = $3.04 (rounded to nearest cent)

if a 6-kg bowling ball is rolled down the bowling lane with a velocity of 3.5m/s what is the momentum of the ball. show can you please use the formula p=M x V. And can you show me how to do it.

Answers

Answer:

Hello,  and I would like to help you. Would you mind if I just gave you the answer? If you would like me to explain say so in thec h a t

if you just want the answer tell me in c h a t I can always edit my answer.

Step-by-step explanation:

Find the with of a triangle as a 15 cm high in a hypogynous of a 19 cm​

Answers

Answer:

This other side of the triangle is equal to about 11.7 cm

Step-by-step explanation:

In order to find out the third side of the triangle we will just use the Pythagoras Theorem.

[tex]c^{2} =a^{2} + b^{2}[/tex]

Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...

[tex]c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\[/tex]

[tex]b^{2} = 361 - 225\\b^{2} = 136\\b = \sqrt{136} \\[/tex]

And so b ≈ 11.66190

hi please help me , if u dont mind

Answers

Answer:

C or B

Step-by-step explanation:

Answer: i believe it would be B

Step-by-step explanation: Basically the graph points keep moving up.

MATH PLSS (I'LL TRY TO GIVE BRAINLIEST)

Answers

Answer:

b

Step-by-step explanation:

the first graph: use the points (0,1) and (4,2) to get a slope of 1/4

function b's slope is 3/4, clearly greater. so B

Well, the answer to this question is function B

ill love you forever if you help me:)

Answers

Answer:

D

Step-by-step explanation: WONDERWALL RULES

Wonderwall

Song by Oasis

Today is gonna be the day

That they're gonna throw it back to you

By now you should've somehow

Realized what you gotta do

I don't believe that anybody

Feels the way I do about you now....Ye i cant type the whole song but i tried!!

Help I need the answer

Answers

Answer:

Step-by-step explanation:

The graphy has got a negative slope.. running down hill.. and by 4

sooo... the last choice looks good

If I work at a store for $9/hour and get paid every week. How much would I make for 3 months?

Answers

Answer:

You'll be making approximately $4,320.00 after 3 months. Approximately because I assumed you have an 8-hour shift, 5 working days and 4 weeks in a month. If there are other cases like 6 working days, just replace 5 with 6 and recompute.

Step-by-step explanation:

[tex] \frac{9 \: dollars}{hour} \times \frac{8hours}{day} \times \frac{5days}{week} \times \frac{4weeks}{month} \times 3months \: = 4320 \: dollars[/tex]

Which statements are true about the function f(x) = –|x| – 2? Check all that apply.

The parent function and this function open in the same direction.
The parent function and this function have the same range.
The parent function and this function have the same domain.
The range of the function is all real numbers less than or equal to –2.
The domain of the function is all real numbers greater than or equal to –2.
There are no values from the domain of the parent function that are also in the domain of this function.

Answers

Answer:

a c d f

Step-by-step explanation:

Answer:

its (c) and (d)

Step-by-step explanation:

4. If x=2, which equation is true?
A. 3(8-X)=18
B. 3(9-x)=30
C. 2(x-8)=24
D. 4x-8=20

Answers

Answer:

option a.

Step-by-step explanation:

3(8-x)=18

3(8-2)

3×6=18

so the RHS and LHS are equal

It’s a. 3(8-x) = 18
Just to let you know

Plzzzzzz I need help

Answers

Answer:

going in the order top to bottom

i)

2

2

2

2 and 2

ii)

2 and 2

2

2

2 and 2

iii)

2

2

2 and 2

2 and 2

Step-by-step explanation:

you have to find out what number you times to get the number they have given you (eg: you have to get 4 and they have given you the number 2, 2 times what makes 4? the answer is 2)

Put the following list of numbers in order from smallest to largest.
1. first 28.3
2. second 28.15
3. third 27.068
4. fourth 29.94
5. fifth 28.08

Answers

Answer:
27.068
28.08
28.15
28.30
29.94

It takes 2/23 sacks of sugar to fill a canister. Each sack contains 3/4 pound of sugar. What expression can be used to solve for the number of pounds of sugar it takes to fill the canister?

Answers

Given:

1 canister = [tex]\dfrac{2}{23}[/tex] sacks of sugar

1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.

To find:

The expression that can be used to solve for the number of pounds of sugar it takes to fill the canister?

Solution:

We have,

1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.

So,

[tex]\dfrac{2}{23}[/tex] sack = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.

1 canister = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.

1 canister = [tex]\dfrac{3}{46}[/tex] pounds of sugar.

Therefore, the expression [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] is used to solve for the number of pounds of sugar it takes to fill the canister.

What is the value of the expression?? PLEASE HELPPPPP

Answers

Answer:

18

Step-by-step explanation:

= -4 x (-5) - 2

= 20 - 2

= 18

Answer:

18

Step-by-step explanation:

-4x - 2

-4 (-5) - 2

(20)  - 2

   18

Select the expression equivalent to 4(x - 7) + 8. A 4x - 47 + 8 B 4(x - 15) С 4x - 7 + 8 D 4x - 28 + 8​

Answers

Step-by-step explanation:

4(x - 7) + 8

= (4)(x) + (4)(-7) + 8

= 4x - 28 + 8. (D)

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