why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1

Answers

Answer 1

Answer:

Sin 90 = 1/1 = 1

Use trigonometry formula and a triangle with lengths of 1


Related Questions

Calculate the variance of the following set of data.

3, 33, 303, 233, 3, 73, 83, 63

Answers

Answer:

its 12084

Step-by-step explanation:

on my test

Variance is the measurement of the spread between numbers in a given set of data.

The variance for the set is 12083.929

What is a variance?

It is the measurement of the spread between numbers in a given set of data.

We have,

3, 33, 303, 233, 3, 73, 83, 63

The formula to find variance:

Find the means of the set of data.

Find the deviation of the set of data from the mean.

Find the sum of the squares of the mean deviations.

Divide the sum of the squares of the mean deviations by (n-1)

where n is the number of data in the set.

The mean:

= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8

= 794/8

= 99.25

Deviation from the mean:

3 - 99.25 = -96.25

33 - 99.25 = -66.25

303 - 99.25 = 203.75

3 - 99.24 = -96.25

73 - 99.25 = -26.25

83 - 99.25 = -16.25

63 - 99.25 = -36.25

The sum of the squares of Mean deviation:

= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314

= 84587.5

The variance:

= 84587.5 ÷ (8 - 1)

= 84587.5 / 7
= 12083.929

Thus,

The variance for the set is 12083.929

Learn more about variance here:

https://brainly.com/question/13708253

#SPJ2

CAN ANYONE DO IT PLEASE.

Answers

Answer:

85°

Step-by-step explanation:

see attached image

The ratio of boys to girls at a movie is 3:4 . If there are 16 girls ​, how many boys are at the​ movie?

Answers

Answer:

12 boys

Step-by-step explanation:

Set up a proportion: [tex]\frac{3}{4} = \frac{x}{16}[/tex]  Cross multiply, then divide: 3 × 16 = 48, 48 ÷ 4 = 12

I hope this helps!

Answer:

12

Step-by-step explanation:

What is the solution to −(6m + 8) = 4(17 − m)?

Answers

Answer:

m= -38

Step-by-step explanation:

-(6m+8)=4(17-m)

-6m-8=68-4m

-6m+4m-8=68

-2m-8+8=68+8

-2m=76

-2m/-2=76/-2

m= -38

Any help would be appreciated!
7/9+ 8/9 as a mixed number

Answers

Answer:

15/9 :))

is your answerrr

Answer:

15/9

Step-by-step explanation:

For this all you have to do is add the numerators.

So 7 + 8 = 15

The number is 15/9

Hope this helps ya!!

PLEASE I NEED HELP
Factor out the coefficient of the variable.

The expression 3/8d+3/4 factored is

Answers

Answer:

9

Step-by-step explanation:

Find the volume of a cylinder with a height of 8cm and a radius of 3cm

Answers

Answer:

V≈226.19cm³

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

V = (pie) * 3 *3 * 8

V = 72 pie cm (3)

Its on a p e x

The ratios 250 miles in 4 hours and 500 miles in 8 hours are equivalent.

Answers

Answer:

Yes, they are equivalent

Step-by-step explanation:

Case 1,

Distance = 250 miles

Time = 4 hours

Ratio = speed = distance/time

= 250 miles/4 hour

= 62.5 mph

Case 2,

Distance = 500 miles

Time = 8 hours

Ratio = speed = distance/time

= 500 miles/8 hour

= 62.5 mph

In both cases, the ratios 250 miles in 4 hours and 500 miles in 8 hours are equivalent.

4.
For each equation, find a value for x that makes the equation true. Show your work on the next
page.
a.
x=3 = 12
b.
c.
Ex-3
d.
2x + 3 = 20
4 10
3
- 4x = -24
2(x - 4) = 10
-0.5x + 1.1 = -2.9
e.
f.

Answers

Answer:

a) 36

b) 8.5

c) 5/2

d) 6

e) 9

f) 8

Step-by-step explanation:

a) [tex]x \div 3 =12[/tex]

Multiply both sides by 3

[tex]x \div 3 =12\\3*(x \div 3) = 12*3\\x=36[/tex]

b) [tex]2x+3=20[/tex]

Subtracting 3 from both sides

[tex]2x+3-3=20-3\\2x=20-3\\2x=17\\x=\frac{17}{2}\\x=8.5[/tex]

c) [tex]\frac{4}{3}x=\frac{10}{3}[/tex]

Multiply both sides by 3/4

[tex]\frac{4}{3}x*\frac{3}{4} =\frac{10}{3} *\frac{3}{4}\\x=\frac{5}{2}[/tex]

d) [tex]-4x=-24[/tex]

Divide both sides by -4

[tex]-4x=-24\\\frac{-4x}{-4}=\frac{-24}{-4}\\x=6[/tex]

e) [tex]2(x-4)=10[/tex]

Divide both sides by 2

[tex]2(x-4)=10\\\frac{2(x-4)}{2}=\frac{10}{2}\\x-4=5\\Adding \ 4 \ on \ both \ sides\\x-4+4=5+4\\x=9[/tex]

f) [tex]-0.5x+1.1=-2.9[/tex]

Subtracting 1.1 on both sides

[tex]-0.5x+1.1-1.1=-2.9-1.1\\-0.5x=-4\\Divide \ both \ sides \ by \ -0.5\\\frac{-0.5x}{-0.5}=\frac{-4}{-0.5}\\x=8[/tex]

The sum of the digits of a certain two digit number is 8. By reversing the digits the number is increased by 18. What is the number?

Answers

6 and 2
Hope this helps

Use the original price and the markup to find the retail price.
Original price: $42; Markup: 7.5%

Answers

Answer:

$45.15

Step-by-step explanation:

$42*107.5%

=$45.15

PLS GIVE BRAINLIEST

Answer:

45.15

Step-by-step explanation:

Take 100% (Original Price) and add the 7.5, Aka 107.5.

Multiply the price (42) and the percent that you just got, 107.5%.

Use the percent sign!!!

The answer then should be 45.15

Camilla bought a book that was on sale for 25% off the retail price. The retail price of the book was $12. What was the price Camilla paid for the book?

Answers

Answer:

The price that Camilla paid for the book was $9.

Step-by-step explanation:

To be able to find the pice that Camilla paid for the book, first, you have to calculate the 25% of the price of the book:

$12*25%=$3

Now, you have to subtract that amount from the price of the book:

$12-$3=$9

According to this, the answer is that the price that Camilla paid for the book was $9.

FOR 50 OR 100 POINTS! A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3. On your own sheet of paper, draw a tape diagram to represent this situation.


If there are eight more large marbles than small marbles, how many total marbles are in the bag?

Answers

Answer:

4:12

4 small

8 large

16 marbles total

Answer:

4:12

Step-by-step explanation:

A backpack is normally $64.99 but is discounted ti $45.49. What percent of the original does Maria pay?

Answers

Answer:30%

Step-by-step explanation:

How do I do this? And what’s the answer??

Answers

Answer:

its asking you what the slope of the line is (rise/run) and for the point at which the line crosses the y axis (verticle line)

Step-by-step explanation:

When finding the slope you count the number of units up and the number of units across. This would be -1/1 or -1 because the graph shows a scale of 100, and the slope is going down 100, and across 100. this makes the slope negative since it's going downwards. so the slope would be -100/100 which would simplify to -1.

the y-intercept is where the line crosses the y axis. if this point is below the x-axis, then the y-intercept would be negative. in this problem however, the line crosses the y-axis at the origin (0,0)

so your equation would be y=1x+0, but simplified it would be y=x (the one isnt used because there is a single x value and the +0 is gone because it holds no value)

4. Estimate.
12 x 11
36 x 29
84 x 27

Answers

Step-by-step explanation:

12*11=132

36*29=1044

84*27=2268

How many apples are on 1 tree?
#







Please help


of # of
Trees Apples
2 26
3 39
6 78
10 130
12 146
13 apples
26 apples
06 apples
10 apples

Answers

The answer is 13 applrs

Answer:

13 apples

Step-by-step explanation:

whats the solution to 4(0.8x+2.5)<2(0.125x-0.9)

Answers

Answer:

x<−4

Step-by-step explanation:

math

How can you find the slope from a table?

Answers

Answer:

you find slope from a table by taking any two points. the left side is the input of the table, the x, and the right side is the output the y. whenever you're finding the points to do slope, they must be correlated.

__x__|__y__

___2_|__4___

__3__|___6__

so if you want to choose 2 for the x input then you must choose the 4 as the y output.

After choosing the two points, (2,4) and (3,6), you need to find the slope which is y-y/x-x. so in this case it's 6-4/3-2. after subtracting you get, 2/1 which if you simplify, it's 2. Or you divide which is also 2. I hope this helped.

Plz give me brainliest!

Step-by-step explanation:

Can someone answer this?
Indirect proof and inequalities in triangles Geometry

Answers

Answer:

1 and 3

Step-by-step explanation:

and the bottom is 4

Estimate 7 x 522 ...

Answers

Here we will tell you what 7 percent of 522 (7% of 522) is and then show you how we calculated it. The answer to "What is 7 percent of 522?" is:

36.54

Answer: 7 x 522= 3654

Step-by-step explanation: The answer is esimated to 3653. I don't know if this will help, but hope it does. Thank you  

10+10*10-100 try to do it

Answers

Answer:

the correct answer is 10 have a brilliantaa day

Step-by-step explanation:

area of the base of a pentagonal prism with a volume of 50 cubic centimeters and a height of 7.5 centimeters

Answers

Answer:

Step-by-step explanation:

V = B * h

50 cm^3 = B * 7.5 cm

B = 50 / 7.5

B = 6.67 cm^2

Answer:

375

Step-by-step explanation:

Area= b*h

50*7.5=375

What must be true in order for two triangles to be similar?

Answers

Answer:

All their angles must be equal and of the same ratio.

Step-by-step explanation:

Answer:

Equal Angles/Equal sides

Step-by-step explanation:

Please help me out with this picture.(#3a, #3b, and #3c)

Answers

Answer:

all are in the picture I attached

Step-by-step explanation:

hope this helps

twice as many dimes as quarters I have a $1.80 total how many dimes do I have ​

Answers

Answer:

The answer is 8 dimes

Step-by-step explanation:

4 quarters x 2 = 8

8 dimes

1.00 + 0.80 = $1.80

determine whether the relation is a function

Answers

Answer:

Step-by-step explanation:

16). The relation is a function.

17). The relation is a function.

Plzzzzz Help!!!!Find an equation for the perpendicular bisector of the line segment whose endpoints are (8,4) and (4,-4)

Answers

Answer:

y = 2x -12  to find any equation to the perpendicular line  x=0

Step-by-step explanation:

find the slope to the original line using the slope formula , then take the opposite reciprocal = -1/2

which is greater 3/10 or 3%

Answers

3% = 3/100
hence 3/10 is greater
3/10 is greater than 3% because it is

how to check the answer of x over -4 + 3 = - 7​

Answers

Answer:

[tex]\frac{x}{4} + 3 = -7\\\\\frac{x}{4} = -10\\\\x = -40[/tex]

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