In triangle PQR, angle P and R are complementary angles where cos P =(0.3) what is the measure in degrees of angle R round to the nearest tenth

Answers

Answer 1

Answer:

[tex]R = 17.5[/tex]

Step-by-step explanation:

Given

P and R are complementary

[tex]Cos\ P =0.3[/tex]

Required

Find the measure of R

[tex]Cos\ P =0.3[/tex]

Take arccos of both sides

[tex]P = cos^{-1}(0.3)[/tex]

[tex]P = 72.5[/tex]

Since P and R are complementary, then:

[tex]P + R = 90[/tex]

Make R the subject

[tex]R = 90 - P[/tex]

Substitute values for P

[tex]R = 90 - 72.5[/tex]

[tex]R = 17.5[/tex]


Related Questions

what is the answer to this?

Answers

Answer:

I think r

is

=24

but I am not sure

The line 1 has equation 5x + 6y + 30 = 0. Given
that P is the point (3, -1), find
(i) the coordinates of the point where l crosses the
x-axis,
(ii) the coordinates of the point of intersection
of l with the line x = 2,
(iii) the equation of the line passing through P
and having the same gradient as I,
(iv) the equation of the line passing through P
and having a gradient of 0.
w through the points ACO 3).

Answers

Answer:

Step-by-step explanation:

i) the x-intercept is when y=0

5x+6(0)+30=0

5x=-30

x=-6

hence the point is (-6,0)

ii)5(2)+6y+30=0

10+6y+30=0

6y=-40

y=-20/3

hence the point of intersection is (2,-20/3)

iii) y+1=-5/6(x-3)

6y+6=-5x+15

6y+5x=9

iv) y+1=0(x-3)

y=-1

0. P (iii) is the author of the book on the valentines book

What is the volume of the figure? 4,536 mm 3 3,402 mm 3 2,268 mm 3 1,134 mm 3 just put answer no explanation

Answers

Answer:

The answer is 2,268 mm 3

Step-by-step explanation:

what is the degree of the polynomal −5x^4y^3z + 3y^4 −7 y^3z^3

Answers

Answer:

4 !!!

Step-by-step explanation:

A man is parasailing on a lake. The rope he is holding is 150 feet long and he is 45 feet above the water. What is the horizontal distance between the man and the boat? Round your answer to the nearest tenth.​

Answers

9514 1404 393

Answer:

  143.1 ft

Step-by-step explanation:

Assuming the rope is tied to the boat, and that the geometry can be modeled by a right triangle, the Pythagorean theorem is helpful.

  150² = 45² + d²

  d = √(150² -45²) = √20475 ≈ 143.1 . . . . feet

The horizontal distance between the man and the boat is about 143.1 feet.

Are (99 – 11 + 10g) - (12 - 119 + 13) and -3(-10g + 12) equivalent expressions? Explain.

Answers

Answer:

)99-11+10g -12+119 -13= 182+10g

)30g-36

Step-by-step explanation:

Work out the circumference of this circle.
Take it to be 3.142 and give your answer to decimal place.
9 m

Answers

Answer:

About 28.3

Step-by-step explanation:

Formula=2[tex]\pi[/tex]r

r=radius

d=diameter

radius is 1/2 of diameter

The diameter is 9 so the radius is 4.5

Select the correct answer

The variable m varies inversely as the fourth power of n. If k is the constant of variation, which equation represents this situation?

a. m/n4 = k
b. mn4 = k
c. m/n = k^4
d. mn = k^4

20 points <3

Answers

Answer:

k=mover n the powe of 4

Step-by-step explanation:

directly proportion

m=nthe power of 4 timesk

interms of k

k=m over n the power of 4

Answer:

the answer is actually b, mn^4=k

I need the lateral area, total area, and the volume. Would greatly appreciate your help!​

Answers

la 4gStep-by-step  im so weird

benny sold half of his comic books and then bought 6 more. he now has 14. how many did he begin with?

Answers

Answer:

Benny started off with 16 comic books.

Step-by-step explanation:

x/2 + 6 = 14

solve

x/2 + 6 = 14

      -6     -6

x/2 = 8

multiply by 2

x = 16

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

the answer is 16 because
if he got 6 more that would be 14-6
leaving you with 8 and 8x2 is 16

Given the sequence: 8, 4, 0, -4,-8, -12, ...

Answers

Answer:

It is subtracting 4 each time, if it were to go on it would go -16 -20 -24 -28 -32 -36 -40 -44 -48 -52 etc

Step-by-step explanation:

At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 12 m. The inner edge of the sidewalk is a circle with a radius of 8 m.

Write and simplify an expression for the exact area of the sidewalk.

Find the approximate area of the sidewalk. Use 3.14 to approximate π.

Answers

Answer:

The answer would be 251.2 for the side walk if the radius for the whole circle is 12 and the small circle's radius would be 8. Only for the answer with the 8 m and 12 m radius NOT the 11m and 9 m

The equation would be:

144 x 3.14 - 64 x 3.14 = 251.2

Step-by-step explanation:

First, you need to find out what the whole circle is:

The whole circle is 452.16

Then, find the inner circle :

8 x 8 x 3.14  

200.96

Last, subtract the whole by the inner:

452.16 - 200.96 = 251.2

hope this helps!

Factor The Expression

14b + 10=

there are no options

Answers

Answer:

2(7b+5)

Step-by-step explanation:

Pls help. 15 points for math

Answers

Answer:

Step-by-step explanation:

y=mx+b where m is the slope, in this case m=4

Answer: the slope is 4 because of y= mx+b and the m is the slope. Hope it helped :)

Step-by-step explanation:

Please help with my algebra hw

Thanks

I will give brainliest

Answers

Answer:

1) 2nd option

2) t = 3 (exponents get added)

Step-by-step explanation:

2nd option for the first one

T=3

A bicycle tire makes 40 full revolutions while traveling where Scott is standing to where Steve is standing. If a tire has a diameter of 20 inches what is the approximate distance between where Steve is standing?

Answers

Answer:

2513.27 inches

Step-by-step explanation:

Given that:

Diameter = 20 inches

Number of revolutions = 40

For a complete revolution :

Distance traveled = Circumference = 2πr

2 * π * 20/2 = 62.831853 inches

Distance per revolution * number of revolutions

62.831853 * 40

= 2513.2741 inches

= 2513.27 inches

Cual es el volumen del concreto que necesitamos para construir cuatro columnas circulares si el diámetro de cada una es de 50 cms y la altura y la altura son 3,5(la respuesta en ms)

Answers

Answer:

27488.92 cm³

Step-by-step explanation:

El volumen de concentre para columna circular = área de superficie del círculo × altura de la columna.

= πr² × h

Dado que:

diámetro =   50 cm

height = d/2 = 50 cm / 2 = 25 cm

= 3.5 cm

Entonces:

El volumen de concentre para columna circular =  πr² × h

El volumen de concentre para columna circular =  π(25)² × 3.5

El volumen de concentre para columna circular = 6872.23 cm³

Para cuatro columnas circulares; el volumen será: = 4 × 6872.23 cm³

= 27488.92 cm³

PLS HELP?!??!
Jane needs to fix a piece of broken siding on the side of her house. The top of the
ladder is placed is 8 feet high above the ground and the base of the ladder will be
placed 6 feet away from the house.
What is the length of the ladder? Round to the nearest whole number.

Answers

Answer:

ladder length = 10 feet

Step-by-step explanation:

using the Pythagorean theorem:

8² + 6² = length²

64 + 36 = length²

length² = 100

length = 10 feet

Find the sum of 4x^4 – 5x and 14x + 8.​

Answers

Answer:

I think the first one is 123x but not sure

Step-by-step explanation:

Answer:

4x^4 + 9x + 8

Step by-step explanation:

4x^4 - 5x + 14x + 8

4x^4 + 9x + 8

KINDA URGET
What is the volume of this container?
7 in.
5 in.
175 in3
5 in.
1,078 in
1,253 in3
11 in.
7 in.
903 in3
14 in.

Answers

Answer:

1253 square inches

Step-by-step explanation:

so first you find the top:

7x5x5=175

then the bottom:

11x14x7=1078

add them and then you get 1253

Answer:

C; 1,253 in

Step-by-step explanation:

7 x 5 x 5=175

11 x 7 x 14=1078

1078 + 175= 1253

Lila uses craft sticks to make stars for an art project. She uses5 craft sticks for each star,and she has 19 craft sticks. Lila makes as many stars as she can how many stars does Lila make? Please helppp

Answers

Answer:

3

Step-by-step explanation:

Number of craft stick per star = 5

Total number of craft stick had = 19

Total Number of stars that could be made :

Total number of craft stick / number of craft stick per star

= 19 / 5

= 3.8

The maximum Number of stars she could make is the whole number value (discarding the remainder) = 3

Find the missing side lengths.Leave your answers in simplest radical form.

Answers

Answer:

6) 9 7) 8 8) 7 9) 9

Step-by-step explanation:

help help help help!!!!!

Answers

Answer:

24.5 is the answer

Step-by-step explanation:

A=l•w
l=x+7
w=x+1

A=(x+7)•(x+1)
A=x^2+x+7x+7
A=x^2+8x+7

If a = 8 and b = 15, then c
=

Answers

Then c = 22 just keep adding 7
8+7=15 15+7=22

Solve the inequality of x - 4< -3

Answers

Answer:

x < 1

Step-by-step explanation:

x - 4 < -3

x < 1

Answer:

x < 1   in inequality form :)

Explanation:

x - 4 < -3

x < 1

Pls help i will give brainly

Answers

Answer:

Exact Form:

248832  -  3 1/3  over 59

         

Decimal Form:

4217.46708051  or 4217.5

Step-by-step explanation:

Solve

{a 1/2 • b 1/3}^-3 ​

Answers

Step-by-step explanation:

so this what I found hope you a good luck

(4m+3)(m+2)

expand each of the following algebraic expression​

Answers

Answer:

4m² + 11m + 6

Step-by-step explanation:

Use foil to expand this value.

(4m+3)(m+2)

Multiply the first terms in the two brackets.

Then multiply the two outer terms.

Followed by multiplying the inner terms.

Finally multiply the last terms

= (4m+3)(m+2)

4m² + 8m + 3m + 6

4m² + 11m + 6

The perimeter of a square is 52 meters. What is it area.

Answers

Answer:

169 meters

Step-by-step explanation:

52/4=13 (since it's a square you divide it by 4 because the sides are equal, so each side is 13 meters)

13^2=169 (to find the area you square the length of each side)

A cylindrical container has a diameter of 5 inches and a height of 12 inches. The container will be wrapped and delivered as a gift. What measurement is closest to the amount of wrapping paper needed to cover the container without overlap?

Answers

Answer:

Step-by-step explanation:

1. Write your formula

2. Plug it in

3. Solve

these steps will help you out with all of your surface area problems.

Like this

Since it is a diameter you have to divide the diameter by 2. That will get you your radius. Then you write your formula for a cylinder. Your formula is...

V = Bh                            (Pie is also known as 3.14)

your big (B) is (pie times r squared) Then you add your height.

so your formula will look like this...

V = pie times r squared...

the full formula will be...

V = (3.14) times (2.5 squared) times the height which in this case is (12)

everything together will be...

V = (3.14) (2.5^2) (12)

all you have to do is multiply all of that and you will get your answer.

The answer is...

V = 236 inches ^2                        (Just a tip, the ^ sign means to the power of)

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