One angle of a right triangle measures 60°. The side opposite this angle measures 21 inches.

What is the length of the hypotenuse of the triangle?

Enter your answer, in simplest radical form, in the box.

Answers

Answer 1

Answer:

x = 24.25 inches

Step-by-step explanation:

sin 60 = 21/x

0.866 = 21/x

x = 24.25

Answer 2

Answer:

24 (if its supposed to be rounded to whole)

24.2 (if rounded to tenth)

Step-by-step explanation:

Sin a= opp/hyp

opp=21

hyp=x

a=60

Sin60=21/x

Get x to the other side by multiplying on both sides

x*sin60=21

Now divide by sin60 on both sides

x=21/sin60

Find sin60

sin60=0.866025...

divide 21 by 0.866025

21/0.866025=24.248722....

So rounded to the nearest 10th is 24.2

Rounded to nearest whole is 24


Related Questions

Help me with this in the next 5 hours

Answers

The answer is D -28

Answer:

- 28

Step-by-step explanation:

[tex]2 {x}^{2} - 4 {y}^{2} [/tex]

By putting the value of x = 2 and y = -3 then,

[tex] = ( 2 \times {2}^{2}) - (4 \times {( - 3)}^{2} )[/tex]

[tex] = (2 \times 4) - (4 \times 9)[/tex]

[tex] = 8 - 36[/tex]

= - 28 (Ans)

y = 4.99x
x = # of items
y = total cost

Answers

Answer:

here/

Step-by-step explanation:

charges a cost per pound plus a fixed fee to ship a package. the total cost, f(x) ... f(x)=4.99x+5.75. which part of the function represents the fixed fee? 2 ... the cost of items purchased and y represents the total cost of shipping.

2 answers

·

13 votes:

the fixed fee is the part of $5.75

210, 206, 202, ... Find the 35th term.​

Answers

Answer:

74,

We found out the hard way

Peter Piper Plumbing charges $7.50 per hour for labor
in addition to a service call fee of $9. If the plumbing
company charges you $76.50 for a house call, how
many hours were they at your house? Write an equation
and solve.

Answers

$7.50x + 9 =76.50
Subtract 9 to get 67.50 the divide 67.50 by 7.50 to get 9

Have anyone felt really sad after you girl broke up with you for no reason

what 4+4

Answers

Answer:

Yes I have. But I needed to because I had to grow

Step-by-step explanation:

4+4=8

Answer:

ummm i dont think I can answer this question bc am a girl but if it was the other way around I say yes totally

and 4+4 is 8

Can someone help me with those two, please?

Answers

5) circumference is 25,13 and area 50,27
6) circumference is 18,85 and area 28,27
5.) r=4
A= π•r^2
A=3.14 •4^2
A=3.14•16
A=50.24 units^2

C=2 π•r
C=2•3.14•4
C=8•3.14
C=25.12 units

6.) r=3
A= π•r^2
A=3.14•3^2
A=3.14•9
A=28.26 units^2

C=2 π•r
C=2•3.14•3
C=6•3.14
C=18.84 units


The diagram shows the sector of a circle with the centre O and radius 6cm.
MN is a chord of the angle.
angle MON is 50 degrees

calculate the area of the shaded segment
give your answer to 3 significant figures

Answers

Answer:

Area of the shaded region = 1.92 cm²

Step-by-step explanation:

From the picture attached,

Area of the shaded region = Area of the sector OMN - Area of the triangle OMN

Area of sector OMN = [tex]\frac{\theta}{360}(\pi r^{2})[/tex]

Here, θ = Central angle of the sector

r = radius of the sector

Area of sector OMN = [tex]\frac{50}{360}(\pi )(6)^2[/tex]

                                  = 15.708 square cm

Area of ΔOMN = 2(ΔOPN)

Area of ΔOPN = [tex]\frac{1}{2}(OP)(PN)[/tex]

Area of ΔOMN = OP × PN

In ΔOPN,

sin(25°) = [tex]\frac{PN}{ON}[/tex]

PN = ONsin(25°)

     = 6sin(25°)

     = 2.536 cm²

cos(25°) = [tex]\frac{OP}{ON}[/tex]

OP = ONcos(25°)

OP = 6cos(25°)

OP = 5.438 cm

Area of ΔOMN = 2.536 × 5.438

                         = 13.791 cm²

Area of the shaded region = 15.708 - 13.791 = 1.917 cm²

                                             ≈ 1.92 cm²

solve for x and y please​

Answers

Answer:

[tex]\Huge\boxed{x=8}\\\\\Huge\boxed{y=138}[/tex]

Step-by-step explanation:

Hello There!

Knowing that the sum of the angles in a triangle is 180

we can use this equation to solve for x

180 = 90 + 5x + 2 + 6x

Step 1 combine like terms

90 + 2 = 92

5x  + 6x = 11x

now we have

180 = 11x + 92

step 2 subtract 92 from each side

180 - 92 = 88

92 - 92 cancels out

now we have

88 = 11x

step 3 divide each side by 11

11x/11 = x

88/11 = 8

we're left with x = 8

Now we plug in 8 into x for 5x + 2 so we can solve for y

5*8=40

40+2 = 42

Now we can solve for y

the angle measured 42 degrees and the angle labeled y are supplementary angles meaning that the sum of the two angles is 180

so to find y we subtract the given angle (42) from 180

180 - 42 =138 so we can conclude that y = 138

Notes: the little square represents a right angle which has a measure 90 degrees so thats where the 90 came from .

Pls help me I have asked this question so many times if you answer I will make you brainliest and my friend so pls answer with NO LINKS!

Answers

Answer:

x=-4

Step-by-step explanation:

lol i cant explain

Mrs.Kelso and Mr.Bonham gave each of their students a small bag of colored tiles.The students each counted the number of purple tiles they received.Thw box plots display the days for both classes.

Which Statement is best supported by the information in the box plots?

A.The data for Mrs.Kelso's class are more symmetrical than the data from Mr.Bonhams class

B.The median number of the data from Mr Bonham's classes less than the median number of the data for Mrs.Kelso's class

C.The interquartile range of the data from Mrs.Kelso's class's greater than the interquartile range of the data from Mr.Bonham's class

D.The range of the data from Mr.Bonham's class is less than the range of the data for Mrs.Kelsos class​

Answers

Answer:

d

Step-by-step explanation:

What is the surface of the following?

Answers

Answer:

answer 105

Step-by-step explanation:

3x5=15

than do 15x7 u will get 105

105 because when you do

PLEASE HELP ASAP What is the volume of this sphere to the nearest hundredth?

Answers

Answer:

882.347

Step-by-step explanation:

Given the system of equations:
2x + 3y = 15
X + 3y = 0
What is x?

-15
-5
0
5
15​

Answers

Answer:

Step-by-step explanation:

Given the system of equations:

2x + 3y = 15

X + 3y = 0

What is x?

2x + 3y = 15

X + 3y = 0         subtract the bottom equation fron the top one

2x - x + 3y - 3y = 15 - 0        see how the 3y - 3y equates to zero

  2x - x  = 15

        x  =  15        Now for  extra credit what is y?  

                                  X + 3y = 0

                                 15 + 3y = 0

                                 15 - 15 + 3y = 0 - 15

                                          3y = -15

                                        3y/3 = -15/3

                                           y  =  -5

-15

-5

0

5

15

I’m about to smash my laptop with a brick please please help

Answers

Answer: y = 800

Step-by-step explanation:

3(y+200) = 3000

y+200 = 1000 (dividing 3 from both sides)

y = 800

Someone plz help me on this mess

Answers

Answer:

Measure angle 2 is equal to 45 degrees

Step-by-step explanation:

math

Answer:

It's going to be 45°

Step-by-step explanation:

[tex]m < 1 + m < 2 = 180[/tex]

[tex]135 + m < 2 = 180[/tex]

[tex]m < 2 = 180 - 135[/tex]

[tex]amswer \: = 45[/tex]

hope it helps

have a great day

What is m<2 + m<3?


it says my question has to be longer so yk im just making it longer but ignore this

Answers

90°, because angle m<1 is 90.

Answer:

m < 2 + m < 3 = 90°

Step-by-step explanation:

90° = m < 2 + m < 3 ( exterior angle of  a triangle is equal to the sum of two opposite interior angle )

What is the sum of -64/5 and 64/5 ?

Answers

Answer and Explanation

0

This is because they are both the same opposite number, and you are adding.

But, if it was, [tex]\frac{64}{5}+\frac{64}{5}[/tex] then it would be [tex]25.6[/tex] or [tex]\frac{128}{5}[/tex].

So, the answer is 0.

Hope this helps =)

Which situation illustrate that the sum of opposite numbers is zero?

A)Ian wins 18 chips on a game board and loses 18 chips on his next turn.

B) Jenna earns $15 and spends $15 on makeup.


C) Anna performs 5 consecutive forward rolls and repeats the same routine again.


D) Chris loans his sister $25 Tuesday and $25 again Wednesday.


E) Carol walks down 6 steps to reach the laundry room and up 6 steps to return to the kitchen.​

Answers

Answer: I think it is E sorry if I am wrong Step-by-step explanation: she returned to the same place so it going backwards (subtracting)

Answer:

I think it's E but not 100% sure

Step-by-step explanation:

Not completely sure on this but I think it's either A or E. I'm leaning towards E more than A though.

Which of the following represents the distance between the y-intercept and x-intercept of the line whose equation is y = 3x + 12?
1) square root 120
2) square root 160
3) square root 200
4) square root 244

Answers

Answer:

√160

Step-by-step explanation:

For y-intercept, we use y = mx + c. Comparing both, y = mx +c & y = 3x + 12

y intercept = c = 12

Point is (0, 12)

For x intercept, we use y = m(x - d). We have

y = 3x + 12 → y = 3(x - (-4))

Compare both, x intercept = d = - 4

Point is (-4, 0)

Using distance formula,

Distance = √(0-12)² + (-4-0)² = √12²+4²

Distance = √144+16 = √160

.

do 18/14 and 10/15 have the same vaule explain why

Answers

Answer:

Step-by-step explanation:

18/14 and 10/15 don't have the same value. Only equivalent fractions have same value.

These two are not equivalent fractions

Answer:

No.

Step-by-step explanation:

Without much calculation, we can notice that 18/14 is actually greater than 10/15 since its numerator is greater than its denominator, making it greater than 1. However, 10/15 is less than 18/14 since its numerator is less than its denominator making it less than 1. In short:

18/14 > 1

10/15 < 1

18/14 > 10/15

HURRYY PLEASE I RLLY NEED THIS AND I DONT OPEN LINKS SO DONT THINK ABT IT

Answers

Im saying that it is probably 18 units


Plllzzz help!!(25 points) Do.-1/2 of Zis
(1,-1)
(-1,1)
(-3/2, 1)

Answers

Answer:

(1‚-1) i think it is right answer

3x – 4y = 12
A) x-intercept is 3 y-intercept is 4
B) X-intercept is -6 y-intercept is 8
C) x-intercept is 8 y-intercept is -6
D) x-intercept is 4 y-intercept is -3

Answers

Answer:

Step-by-step explanation:

the answer is d hope it helps

Work out 3/5 - 1/3
In its simplest form

Work out 2/5 x 5/6
In its simplest form

Answers

[tex]3 \div 5 - 1 \div 3 = 9 - 5 \div 15 \\ = 4 \div 15 \\ \\ 2 \div 5 \times 5 \div 6 = 2 \div 6[/tex]

Hope it helps

Part A:
A circle is inscribed in a square. Each side of the square is 10 centimeters long.

What is the area of the circle?

Part B:
Find area of the shaded region that is outside the circle but inside the square

Answers

Answer:i think it is 5

Step-by-step explanation:


Find 85% of the volume of a cube of side 12 cm.

Answers

Answer:

are you jokin, or something?

Guided Practice

Time
(hours)
1
4
7
10
13

Temperature
(°F)
-2
7
16
25
34


The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation.


A.
3; the temperature increases 3°F each hour.


B.
131 third; the temperature increases 131 third°F each hour.


C.
–3; the temperature decreases 3°F each hour.

Answers

Answer:

Step-by-step explanation:

i can't find it

Can pls someone help me :(

Answers

Answer:

ok multiply the two first the 85 and 77 and divide it by 36

Answer:

tanF = [tex]\frac{77}{36}[/tex]

Step-by-step explanation:

tanF = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EG}{FG}[/tex] = [tex]\frac{77}{36}[/tex]

Find the LCM
of 9 and 27.

Answers

Answer:

27

Step-by-step explanation:

The answer is 27, because 9 x 3 = 27 and the smallest number that is the same is 27.

Hope this helps!

Answer:

27

Step-by-step explanation:

LCM is the least common multiple of one or more numbers. we can find this by finding the factors of 9 and 27.

9, 18, 27, 36, 45, 54

27, 54, 81, 108

since 27 is the smallest factor of both 9 and 27, it is the least common multiple.

Find the value of x in the triangle shown below

5.7
5
x
70
5

Answers

Answer:

55

Step-by-step explanation:

Right on edge

Answer:

Step-by-step explanation:

55°

Other Questions
3. The mass m is less than 5 kilograms. solve the simultaneous equations y=3x+2 and y=x+6 Burgundy, Inc., and Violet are equal partners in the calendar year BV LLC.Burgundy uses a fiscal year ending April 30, and Violet uses a clean year.Burgundy receives an annual guaranteed payment of $100,000 for use of capital contributed by Burgundy.BV's taxable income (after deducting the payment to Burgundy, Inc.) is $80,000 for 2016 and $90,000 for 2017.1. What is the amount of income from the LLC that Burgundy must report for its tax year ending April 30, 2017?2. What is the amount of income from the LLC that Violet must report for her tax year ending December 31, 2017? ok can someone pls help me with these last 3 questions. i know ive been asking for a lot today so i just want to say thank you for helping me Two angles are complementary. The larger angle is 3 degrees less than twice the measure of the smaller angle. Find the measure of each angle. PLEASE help quick it is almost due What are some legends (stories) to write for class? I need this for Creative Writing. 4 of 8The following are the ages (years) of 5 people in a room:25, 22, 13, 14, 21A person enters the room.The mean age of the 6 people is now 22.What is the age of the person who entered the room?Iyears Explain ONE way in which colonized states were affected by theGreat Depression. HELP 10 POINTSSS!!! HELPP select the correct answer. which expression is equivalent to this polynomial? x2 + 12 A social environment is BEST described as: Willie runs 4 miles in 28 minutes. If Willie runs at the same rate, how far can he run in 77 minutes? Can some find the the answer than explain it Thank you How is the graph of g(x) = -x2-2 related to the graph of f(x)= x?? help me please i have 2 mins left (science) A) 67B) 98C) 80D) 69 Statistics Practice Q8A. 88 and 96B. 86 and 87C. 90 and 98D. 80 and 82 HELP ANYONE!! I NEED THE ANSWERS QUICKLY What were the three most popular routes for the Great Migration