PQR is a right angled triangle calculate the size of angle marked x

PQR Is A Right Angled Triangle Calculate The Size Of Angle Marked X

Answers

Answer 1

Answer:

[tex]\displaystyle x \approx 37.4^\circ[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]:                                                                    [tex]\displaystyle cosx^\circ = \frac{5.8}{7.3}[/tex][Fraction] Divide:                                                                                             [tex]\displaystyle cosx^\circ = 0.794521[/tex][Equality Property] Trig inverse:                                                                    [tex]\displaystyle x^\circ = cos^{-1}(0.794521)[/tex]Evaluate trig inverse:                                                                                      [tex]\displaystyle x = 37.39^\circ[/tex]Round:                                                                                                             [tex]\displaystyle x \approx 37.4^\circ[/tex]

Related Questions

Which of the ratios below has a unit rate of 30? Select all that apply. A) 50:20 B) 4:140 C) 180:6 D) 240:8 E) 900:30

Answers

Answer:

c,d,e

Step-by-step explanation:

If using the method of completing the square to solve the quadratic equation
x2 + 7x – 27 = 0, which number would have to be added to "complete the
square"?

Answers

To determine the constant that makes the expression (x² + kx) a perfect square,

Take the coefficient of the second term which is k and ÷2

In this case, it is (7/2)²

At the end it looks like

x² + 7x + (7/2)² = 27 + 49/4

(x + 7/2)² = 157/4

The  number is added is 7/2² or 49/4.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x² + 7x – 27 = 0.

Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x

So, x² + 7x – 27 +7/2² - 7/2² = 0.

( x+ 7/2)² – 27- 49/4 = 0.

( x+ 7/2)² = 157/4

Hence, the number is added is 7/2² or 49/4.

Learn more about equation here:

https://brainly.com/question/10413253

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Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answers

Answer:

Step-by-step explanation:

Area=[tex]\frac{(6+16)9}{2}[/tex]

       =99 yd²

Find the 75th term of the Arithmetic Sequence 15,11,7,3...

Answers

Answer:

-281

Step-by-step explanation:

Use the explicit formula

[tex]a_{n} = a_{1} + (n-1)d\\a_{n} = 15 + (n-1)(-4)\\a_{75} = 15 + (75-1)(-4)\\a_{75} = 15 - 300 + 4\\a_{75} = -281[/tex]

if two sides of a triangle measurement 8cm 12cm what is the range of the third side

Answers

Umm I think maybe 4cm or 16cm

I'm in seventh grade and this is a new concept for me I need help!

Answers

Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Cookie Creations sells 8-inch cookies for $3 each plus a flat $5 delivery fee. Zach has $14 to spend on cookies.
Write and solve an equation to determine how many cookies, x, Zach can buy and have delivered.
in the boxes.

Answers

Answer:

($14-$5)=x($3)

x=3 cookies

Step-by-step explanation:

($14-$5)=x($3)

9=3x

9/3=3x/3

x=3 cookies

URGENT: Create a linear system whose ONLY SOLUTION is (3,13) . I just need the equations for f(x)=? , G(x)=? To get (3,13). ASAP!!!!! PLZZZ

Answers

The solution of (3,13) means you need to create two lines that satisfy x = 3 and y = 13

The two lines can be anything as long as they give this solution

For example, if you wrote x + y = 16 (you know their values already)

Then write another y - x = 10

From here you have your equations, turn them into the f(x) form.

x + y = 16 can be turned into y = 16 - x which is f(x)=16-x

y-x = 10 can be turned into y = 10 + x which is g(x)=10 + x

Match the number on the net with the appropriate vertex on the prism.

Answers

Answer:

1. D

2. A

3. H

4. C

5. G

Step-by-step explanation:

Common denominator of 1/6

Answers

Answer:

24 the answer is 24

Step-by-step explanation:

that's because the (LCD) of 1/6 is 24

get and f =½ then g-4f equals​

Answers

Answer:

i dont know

Step-by-step explanation:

bye

There are a total of 64 students in the anime club and student council. Student council has 10 more students than anime club how many are in each

Answers

Answer:

27 in the anime club and 37 in student council

Step-by-step explanation:

there are 64 students

if you divide 64/2 there are 32 in both

32+32=64

then if you give 5 from one to the other

27+37=64

Answer:

student councel has 37 anime club has 27

Step-by-step explanation:

Find the angle of elevation of the sun if a 24ft. Flagpole casts a shadow 7 ft. Round your answer to the nearest tenth of a degree

Answers

6 is the answer to itt

please help! and simplify the answer

Answers

Answer:

3a. => 4:54a. => 1:3

MARK ME AS BRAINLIST

Answer:

3a) 4:5

4a) 1:4

Step-by-step explanation:

3a) you just find the GFC of both 12 and 15, and then use the first number for girls and 2nd for boys, in this case 4 for girls and 5 for boys giving you 4:5.

4a) You just add 4 to 12 it gives you 16 and divide 4 and 16 by 4 giving you a ratio of 1:4.

 

ayundenme
1) 7 2 − 10 3 − 15 5 −12 2 + 8 3 − 21 4 − 13 5

2) −82 − 213 − 515 −212 + 183 − 74 − 225

3) −82 − 212+1 − 512+2 −212 + 182+1 − 72+2

4) −1.1 2 3 + 2.25 3 4 + 10.1 4 5 1.8 2 3 − 1.2 3 4 − 1.65 4 5

Answers

Answer:

I

1)-574 2)-874 3)-902 4)No answer bz have two dismal place

Last month Tara worked 16.5 hours the first week, 19 hours the second week, 23 hours the third week and 15.75 hours the fourth week. She plans to work more hours this month then last month

Answers

Answer:

74.25

Step-by-step explanation:

Nina uploaded a funny video on her website, which rapidly gains views over time.
The relationship between the elapsed time, ttt, in days, since Nina uploaded the video, and the total number of views, V(t)V(t)V, left parenthesis, t, right parenthesis, is modeled by the following function:
V(t)=500⋅(1.8)t
Complete the following sentence about the daily percent change in the views of the video.

Answers

Answer: 80% views are added

Step-by-step explanation:

The required  daily percent change in the views of the video is 50%.

Nina uploaded a funny video on her website, the relationship between the elapsed time t, and number of views. V(t) is V(t)=500⋅(1.8)t.

What is rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
V(t)=500⋅(1.8)t
The slope of the given relationship will describe the the daily percent change in the views of the video i.e.
m = 500*1.8
m = 900
since the rate of increase in views in each day is by 900.


Now the percentage change per day.
= 900/1800 x 100
= 50 %

Thus, the required  daily percent change in the views of the video is 50%.

Learn more about rate of change here: https://brainly.com/question/13103052

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The peak at transfer camera is 10 8.7 he travels 7.5 metre in car and took a break how much more he has to travel to reach the top of the mountain

Answers

The question is not well formatted

Let's assume that the peak value Given is 108.7m

However, If that is not the actual value, then you can just follow the steps with the actual value to obtain your answer.

Answer:

101.2 meters

Step-by-step explanation:

Taking the peak Given as 108.7 m

The distance traveled by car = 7. 5 meters

The distance left to reach the top of the mountain :

108.7 meters - 7.5 meters

= 101.2 meters

3n^5 divided by 6n^3 simplified,
thank

Answers

Answer:

[tex] \frac{ {n}^{2} }{2} [/tex]

Step-by-step explanation:

[tex] \frac{3 {n}^{5} }{6 {n}^{3} } = \frac{3}{6} \times \frac{ {n}^{5} }{ {n}^{3} } = \frac{1}{2} \times {n}^{5 - 3} = \frac{1}{2} \times {n}^{2} = \frac{ {n}^{2} }{2}[/tex]



You buy a car in 2017 for $25,000. The value decreases by 16% each year. How much will the car be worth

in 2022? Round your answer to the nearest penny, 2 decimal places.

Answers

Answer:

The appropriate answer is "10,455.29856".

Step-by-step explanation:

According to the question,

The time will be:

⇒  t = [tex]2022-2017[/tex]

⇒    = [tex]5[/tex]

On applying formula, we get

⇒ [tex]f(t)=25000(1-.16)^t[/tex]

On substituting the value of "t", we get

⇒ [tex]f(5)=25000(1-.16)^5[/tex]

⇒         [tex]=25000(0.84)^5[/tex]

On solving the power, we get

⇒         [tex]=25000\times 0.4182119424[/tex]

⇒         [tex]=10,455.29856[/tex]

*
Which graph represents the function f(x) =
c) = (3)
ty
3
ty
3
ty
3
ty
3
3
2
2.
2
2
1
1.21
2 3 4
2 3 4
2 3 4
2 3 4
O
o

Answers

The equation of the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex] is graph (b)

The equation of the graph is represented as:

[tex]f(x) = (\frac{3}{2})^{-x}[/tex]

See attachment for the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex]

From the attached graph, the curve passes through points (0,1) and (2,0.5).

Hence, the equation of the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex] is graph (b)

Read more about graphs and functions at:

https://brainly.com/question/3939432

45.72+3.8
what is the answer

Answers

Your answer is 46.52

does anyone know the answer??

Answers

Answer:

100.00

Step-by-step explanation:

x=number of months until the costs are the same

50 + 20x = 25 + 30x

25 = 10x

x = 2.5 months

50 + 2.5(20) =$100.00

What is y -0.12y ???

Answers

Answer:

ill look for you

Step-by-step explanation:

Answer:

Step-by-step explanation:

y-0.12y = 0.88y

Given f(x) = -4x and g(x) = -5x - 8, find g(f(6-2m²))​

Answers

9514 1404 393

Answer:

  -40m² +112

Step-by-step explanation:

g(f(6-2m²)) = g(-4(6 -2m²)) = g(8m² -24)

= -5(8m² -24) -8 = -40m² +120 -8

g(f(6-2m²)) = -40m² +112

I need someone to solve the 2nd page of this pdf

Answers

Answer:

a b c d

Step-by-step explanation:

Which three length combinations below cannot be the side lengths of a triangle?
A. 23 m, 17 m, 14 m
B. 11 m, 11 m, 12 m
C. 5 m, 7 m, 8 m
D. 21 m, 6 m, 10 m

Answers

Answer:

D is the correct answer

Step-by-step explanation:

Trust

Can someone please give me the answers

Answers

Answer:

1) 3

2)9

3)18

4)18k

5)18 and k

6)k/3

7)k

8)3

9)9 + k/3

10) 18k - 9

I need help I can’t understand having the answer is going to help a lot

Answers

Answer:

Step-by-step explanation:

35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4

Learning task 1

week 7

Answers

Answer:

A to D is a diameter

M is a center

F to M is a radius

E is a tangent lines

H to A is a chord

C to E is an arc

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