In triangle QRS the measure of right angle S is SQ=90 degrees Sq=47 feet and Rs=70 feet. Find the measure of angle R to the nearest tenth of a degree

Answers

Answer 1

Answer:

x=33.9°

Step-by-step explanation:

Trigonometric Ratios

In a right triangle, i.e. the triangles that have an internal angle of 90°, the so-called trigonometric ratios are valid.

There are six trigonometric ratios that can be used in right triangles, depending on the data available for each problem.

The current question gives us two sides in a right triangle and requires us to calculate the angle x.

The angle x 'looks' at the sides of the triangle in this way: RS=70 is the adjacent leg, SQ=47 is the opposite leg, and RQ is the hypotenuse.

We should use the trigonometric ratio that relates both the adjacent and the opposite led. There are two possibilities: The tangent and the cotangent. We'll use the tangent for no particular reason.

The tangent of an angle is defined as:

[tex]\displaystyle \tan\x=\frac{\text{opposite leg}}{\text{adjacent leg}}\\[/tex]

Use the given values:

[tex]\displaystyle \tan x=\frac{47}{70}=0.6714[/tex]

Using a calculator (in degree mode), we calculate the angle:

[tex]x=\tan^{-1}(0.6714)=33.9^\circ[/tex]

x=33.9°

Related Questions

To make the expression 4x−2+□(2x+4) equivalent to 2(6x+7), what must be the value in the box? PLSSSSS HELLPPP

Answers

Answer:

4 goes in the box

Step-by-step explanation:

The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Let the value inside the box be 'y'. Then the equation is given as,

4x − 2 + y(2x + 4) = 2(6x + 7)

Simplify the equation, then we have

4x − 2 + y(2x + 4) = 2(6x + 7)

4x − 2 + y(2x + 4) = 12x + 14

y(2x + 4) = 8x + 16

y = 4(2x + 4) / (2x + 4)

y = 4

The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.

More about the solution of the equation link is given below.

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Asppppp help Im taking a quixxxx

Answers

Answer: a, b, d

Step-by-step explanation: don’t count me on it

Answer:

B, D

Step-by-step explanation:

just find the common denominator and see if it works

Match the number with its opposite.

Match Term Definition
9.2 A) 2.9
−2.9 B) −9.2
−1.4 C) −4.1
4.1 D) 1.4

Answers

9.2 - B
-2.9 - A
-1.4 - D
4.1 - C

Explanation: the opposite of a number is the same number with the sign flipped

Answer:

9.2 - B

-2.9 - A

-1.4 - D

4.1 - C

Step-by-step explanation:hope this helps

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

Step-by-step explanation:

every line is a multiple of 2.

Answer:

The answer is 20

Step-by-step explanation:

The first line is 0 then is goes by two

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

Find the measure of the indicated angle.
14
?
29

Answers

Answer:

Step-by-step explanation:

I guess it is 29-14 which obviously is 15 as we know

Ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile in 1/9 of an hour he bikes for miles in 1/4 of an hour at these rates how many minutes does it take Ben to run 2 miles and bike 8 miles?

Answers

Answer:120 minutes

Step-by-step explanation:

You see it's math

Answer:

110

Step-by-step explanation:

Need help with both 7 and 8

Answers

You are correct with both

7. Part 1: 15 mins x 7 days = 105 mins per week. Part 2: example- Veronica sold 15 cookies a day for 7 weeks, how many cookies did she sell? ( you just need to add the second part)
8. Part 1: 36 tables x 5 people = 180 people part 2: 288 divided by 36 = 8 people ( you got it right )

Which decimal number is equal to 18?

0.125

0.125¯¯¯¯¯

0.125¯¯¯¯

0.125¯

Answers

Answer:

if you mean 1/8 then its 0.125 (top choice)

Step-by-step explanation:

1/8=(1/4)/2=0.25/2=0.125

There is a parade coming through town, the route is 2 miles long with 10 foot wide sidewalks along each side. If the crowd is approximately 5 people per 16 square feet, how many people are estimated to be watching?

Answers

Answer:

66 000 people

Step-by-step explanation:

Hi there !

1 mile = 5280 feet

2 miles = 2×5280ft = 10 560 feet

Area = 2(10560ft×10ft) = 2×105600ft² = 211200 ft²

How many people are estimated to be watching?

16 ft² ................ 5 people

211200 ft².........x people

x = 211200×5/16

= 1056000/16

= 66 000 people

Good luck !

Four zeros of a 5th degree polynomial are 12,3,-5 and 1+2i. What is the 5th zero in this polynomial

Answers

Answer:

1-2i

Step-by-step explanation:

complex roots come in conjugate pairs

lines A and B are parallel,lines x and y are transversals. if angle 2 is 57 degrees and angle 3 is 85 degrees,find the measure of angle 5 will mark brainest

Answers

Answer:

Step-by-step explanation:

see attached

-2x + 12 = -2(x – 6)

Answers

Answer:

true for all x

Step-by-step explanation:

-2x + 12 = -2(x – 6)

Distribute

-2x+12 = -2x+12

Add 2x to each side

12 =12

Since this is always true, there are infinite solutions

x is all real numbers

Spencer is 10 years old. His age is two years less than three times his sister's age. How old is Spencer's sister?

Answers

so she is 24
10-2= 8
8 x 3= 24

The age of Spencer's sister is 4 years old.

What is an Equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Spencer is 10 years old. His age is two years less than three times his sister's age.

Let the age of Spencer's sister be x

According to the question,

3x - 2 = 10

3x = 10 +2

3x = 12

x = 12/3

x = 4

Hence, The age of Spencer's sister is 4 years old.

For more references on an Equation, click;

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Write the equation of the line containing point (-3, 2) and having a slope of 6.

Answers

Answer:

y + 2 = 6(x - 3)

Step-by-step explanation:

Point-Slope Form: y + y₁ = m(x + x₁)

Simply plug in your known variables into the point-slope form to find your equation:

y₁ = 2

x₁ = -3

m = 6

y + 2 = 6(x - 3)

A business owner wants to have the front row window.

Look at the photo please I will name Brainlyest

Answers

It’s 3
Y= Mx+b
119=19x+64
57=19x
3=x

Which equation has no solution? plsss helpppp

Answers

Answer:

Step-by-step explanation:

PLZ HELP FASTTTTTTTT

Answers

for this one you basically just plug the numbers in the left column into the f(x) function.
1. 0
2. 4
3. 8
4. 12
5. 16
hope this helps!

plz help... ill give u 20 points

Answers

*The answer is the first one

I’m step 1, the difference of 1.5 x (-3.2) and 1.5 x (2.5) should be written as a sum

For example the right next step you be

1.5 x (-3.2) + 1.5 x (2.5)

And therefore giving you the final result of

= -4.8 + 3.75
= -1.05

Hope this helps :)

Which situation is represented by the equation 6x = 4x + 18? a, James paid $18 for 4 books. What is the cost of one book? b. James paid the same amount for 6 books as he did for 4 books and a CD that costs $18. What was the cost of each book? c. Six times a number is the same as 4 times the number decreased by 18. What is the number x? d. Six more than the number of red beads in a bag is the same as 18 more than 4 times the number of red beads in the bag. What is x, the number of red beads in the bag,

HURRY PLEASE

Answers

Answer:

Step-by-step explanation:

Option B best displays/showcases the equation of 6x = 4x +18

Multiply 2 3/4 x 1 1/3. Write your answer in simplest form

Answers

so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.

2 3/4 * 1 1/3

= 12 / 4 * 4/3

now multiply normally

= 48 / 12

divide this by 4/4 to get simplest for

= 12 / 3 divided by 3/3

= 4/1

Step-by-step explanation:

If x = 34, y = 53, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.

0.74 units
1.17 units
1.64 units
2.14 units

Answers

Answer:

2.14 units

Step-by-step explanation:

TO FIND AB:

sin 34=AC/AB

AB=AC/sin34=4/sin34=7.15

TO FIND AD:

sin 53=AC/AD

AD=AC/sin53=4/sin53=5.00

difference in length:

AB-AD=7.15-5.00=2.14 units

Answer:

the answer is 2.14 units

Step-by-step explanation:

took the test and got it right

Brainliest pls

Which of the following are polynomials?

Answers

Answer is b hope this helps

PLS HELP! CLICK HERE!!!!!

Answers

Answer:

its 2

Step-by-step explanation:

bc i said so period

C - x = r - d , for x

Answers

Answer:

x = C+d-r

Step-by-step explanation:

C - x = r - d

-x = r - d - C

x = -(r - d - C)

x = -r+d+C

x = C+d-r

plz help. its easy brainliest

Answers

Answer:

ur welcome brainliesit pls

Step-by-step explanation:

6. x=2

7. x=3

8.x=-7

Which expression is equivalent to the distance between -13 and -4 on a number line? I need some help

Answers

Answer:

Step-by-step explanation:

To solve this count from -4 and -13. So counting, we go -5, -6, -7, -8, -9, -10, -11, -12, and -13. To get from -4 to -13 we counted 9 numbers and that gets you your answer of nine. Hope that helps!

What values are the solutions for x2 + 2x = 8?

Answers

Answer:

x=4,-2 hope this helps!!

Step-by-step explanation:

17. The area of the large square below is 49 centimetres squared. What are the side lengths of the shaded triangle?

Answers

Answer:

12.25,12.25,7

Step-by-step explanation:

Formula of Area of square= length x breadth

In a square all side are equal as we all know that which means if the Area of the square is [tex]49cm^{2}[/tex] if we take the root of 49 it gives us 7 so the length and breadth of the square is equal to 7 as shown in my figure i uploaded. Please excuse my professional drawing skills ( pun intended :D)

The dotted lines i assume shows that sides are being bisected into two equal halves which means the whole side equals 7cm and the half is 7/2 equals 3.5cm so the bottom half side of the triangle is 7cm but the two slant heights we have to find we can find it by using phythogra's theorem

(Hypotnuse)^2=(Length^2) x (Breadth)^2

we need to find just one side of the hypotnuse/slant height then we multiply it by 2 which would gives us both of our hypotnuse sides so

(Hypotnuse)^2= (3.5)^2 x (3.5)^2

(Hypotnuse)^2=150.0625

Apply square root on both sides gives us

[tex]Hypotnuse = 12.25[/tex]

Since the traingle is covered by two slant height's the sides of the traignle are 12.25cm 12.25cm and 7cm

So what s the meaning for X and Y

Answers

The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi. (x,y) has the meaning of a plane's vector from origin of coordinates.

PLEASE HELPPPP ITS A GRADE

Answers

Answer:

A. It is not a function because 0 outputs multiple items

B. the domain seems to be 0,1,2,3

c.The range seems to be -2,1,2,4

Step-by-step explanation:

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