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

The volume of a right circular cone is 45 cubic centimeters, and the radius of
the base is 3 centimeters. What is the height of the cone in centimeters?

Answers

Answer:

5cm

Step-by-step explanation:

Given parameters:

Volume = 45cm³

Radius  = 3cm

Unknown:

Height of the cone  = ?

Solution:

Volume of cone is given as ;

  V = [tex]\frac{1}{3} \pi[/tex] r² h

r is the radius

h is the height

      45  =  [tex]\frac{1}{3} \pi[/tex]x 3² x h

      45  = 3π x h

       h  = [tex]\frac{45}{3 x3.142}[/tex]   = 4.77cm

5cm is the closest answer choice

Greta offers to buy a team photo for 15 of her teammates, but 6 of them don't want one. If a team photo costs $2, how much will Greta spend on her teammates? Choose the correct expression and solution to this problem .

Answers

15-6=9
9(2)=18
$18 is how much she will spend.
(There are no expressions or solutions to choose but i tried my best lololo)

Answer:

$18

Step-by-step explanation:


The equation y = 5.5x represents a proportional relationship What is the constant of proportionality?

Answers

The constant of proportionality is 5.5

Step-by-step explanation:

y = kx

k = constant of proportionality

y = 5.5x

Answer:

d

Step-by-step explanation:

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza that cost eight dollars each and pepperoni pizza cost $12 each the odyssey pizzas and P pepperoni pizzas which expression represents the

Answers

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.

Which expression represents the total cost of all of the pizzas they order?

Answer:

t = 8c + 12P

Step-by-step explanation:

We are told that cheese pizza(c) costs eight dollars.

This means for c number of cheese pizzas, cost is $8c

Also, we are told that cost of pepperoni pizza is $12 each.

So, for P number of pepperoni pizzas, the cost is $12P

Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.

Thus;

t = 8c + 12P

The 7th grade students at Palm Coast Middle School made some apple pies for a bake sale. The school cafeteria also donated 9 pies toward the effort. All the pies at the sale were cut into 8 pieces. If at least 224 pieces of pie were sold in all, how many pies did the students bake? (shown on number lines)

Answers

Answer: at least 19

Step-by-step explanation:

Since there were at least 224 pieces of pie sold. We would divide the amount of slices of pie sold (224) by the amount of slices in each pie (8). Which would be (28) pies sold and then we would subtract the (9) pies that the school gave us, and we would end up with (19) pies.

I hope that can help you

Pls help me find the slope

Y(-5,0), Z(-2,-4)

Answers

Answer:

     -4 / 3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -0)/( -2 - -5)

     ( -4 -0)/( -2 +5)

     -4 / 3

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Y (-5, 0)

Z (-2, -4)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-4-0}{-2+5}[/tex]Subtract/Add:               [tex]m=\frac{-4}{3}[/tex]

Jessica has 120 stamps in a collection she bought 16 more Jessica wants plays the stamps equally and six pages of the book how many stamps will be on each page of the book 20 stamps 25 stance 30 stamps or $.40 Stan's

Answers

Answer:

30 stamps each

Step-by-step explanation:

This is the correct question:

Jessica has 120 stamps in a collection she bought 60 more Jessica wants to place the stamps equally and 6 pages of a book how many stamps will be on each page of the book

Total stamps = 120 + 60

= 180

Jessica wants to place the stamps equally on 6 pages of a book

how many stamps will be on each page of the book?

Each page of the book = Total stamps / number of pages in the book

= 180 / 6

= 30

Each page of the book will have 30 stamps each

To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that the total weight was 4 pounds.

What is the quotient of 4 and 13? PLEASE PLEASE PLEASE ANSWER ASAP

Answers

Answer: 0.31

Step-by-step explanation:

Simple division.

Answer

the Answer is 12

Step-by-step explanation:

What is the slope of у= 3х — 9​

Answers

Answer:

3?

Step-by-step explanation:

3 is the slope intercept I believe

If you go out to eat with 3 friends and you mea was $72.50 there is a 6.75% slaes tax and you should tip the waiter 15% how much should each person pay.

Answers

Answer:

$29.42

Step-by-step explanation:

Total cost of meal for the 3 friends = $72.50

sales tax = 6.75%

percent tip = 15%

Total %paid on meal = 6.75%+15% = 21.75%

Increment paid = 21.75% of  $72.50

Increment paid =  21.75/100 * 72.50

Increment paid = 21.75 * 0.7250

Increment paid = $15.7685

Total amount paid = original cost + increment

Total amount paid = $72.50+$15.7685

Total amount paid = $88.26875

If the 3 friends paid $88.26875

Each person will pay $88.26875/3 = $29.42

Hence each person will pay $29.42

given 2x +8y=16, find the x- and y- intercepts

Answers

Answer:

y-intercept: 2

x-intercept: 8

Step-by-step explanation:

I just graphed it into desmos. Wherever it crossed the axis, it's the answer.

Camila measured a line to be 17.5 inches long. If the actual length of the line is 18.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Please help, thanks :)

Answers

The percent error of the measurement was approximately 5.4% error

This is because Percent Error= (Vobserved-Vtrue)/Vtrue

Also my name is Camila :) please mark me Brainliest

Suppose you deposited $400 in a savings account 3 years ago. The simple interest rate is 3.3%. The
interest that you earned in those 3 years is $39.60. Which of the following is/are true?
1 = 3
r=3.3%
p = 400
t = 39.60





Help me please

Answers

Answer:

Step-by-step explanation:

Given parameters:

 Principal  = $400

 Time  = 3years

 Interest rate  = 3.3%

  Interest  = $39.60

Now let us verify;

I = interest

r = rate

p  = principal

t  = time

 

i = 3             incorrect, interest is $39.60

r=3.3%          Correct, rate is 3.3%

p = 400         Correct, principal is 400

t = 39.60     Incorrect, time is 3years

What is the value of x?
1. 142
2. 71
3. 152
4. 76​

Answers

Answer:

142

Step-by-step explanation:

Equation of the circle. Please help.

Answers

(x-2)^2 + (y+5)^2 =2

Pls help me and can you give tips on exponents??!

Answers

Answer:

Basically, exponents represent the number of times you multiply that number by itself. For example, 3² = 9, because you multiply 3 times 3.

Step-by-step explanation:

Determine weather the triangles a are similar

Answers

Answer:

Step-by-step explanation:

When Charlotte left her house this morning, her cell phone was 30% charged and it

then started to lose 2.5% charge for each hour thereafter. Write an equation for B, in

terms of t, representing the charge remaining in Charlotte's battery, as a percentage,

t hours after Charlotte left her house.

Answers

Answer:

B = 32.5 - 2.5t

Step-by-step explanation:

Let the initial percentage to be 30%

If it started to loose 2.5% every hour where;

t represents the time after Charlotte left her house

The amount of percent remaining every hour will form an arithmetic sequence as shown;

30, (30-2.5), (30-5.0),...

30, 27.5, 25.0...

Using the nth term for calculating an arithmetic sequence

B = a + (t-1)d

a is the first term = 30

d is the common difference = 27.5-30 = 25-27.5 = -2.5

t is the time

Substitute the given values into the formula;

B = 30 + (t-1)(-2.5)

B = 30+(-2.5t+2.5)

B = 30-2.5t+2.5

B = 32.5 - 2.5t

Hence equation for B, in  terms of t, representing the charge remaining in Charlotte's battery, as a percentage,  t hours after Charlotte left her house is B = 32.5 - 2.5t

What is 15% of 140? A.2,100 B.30 C.21 D.119​

Answers

Answer:

21

Step-by-step explanation:

u do 140 divided by .15

1/4 kilometer in 1/3 hour?

Answers

Answer:

That means it will take you 1 and 1/3 hour to go a kilometer.

Angela bought gifts for her friends, and each gift costs 10$. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of the gifts she bought.

Answers

Answer:

Step-by-step explanation:

If Angela bought gift for her friend and each gift costs 10$. This means that the more the number of her friends, the more the money she will pay and vice versa. This is known as a direct relationship.

Let y represent the total cost and

x represent the number of gifts

According to direct variation]

y ∝ x

y = kx

k is the constant of proportionality

If each gift item cost $10, x gift will cost 10x. The constant of proportionality in this case will be 10. Substituting, the equation will become;

y = 10x

Hence the required relationship is y = 10x

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the 3rd istansa ha?

Step-by-step explanation:

Sana maka tulong

Can somebody please help me bc im so lost its ridiculous

Answers

Answer:

1. A = 120

2. B = 98

3. C = 86

4. D = 176

Step-by-step explanation:

Answer:

1) 120° 2) 98° 3) 104° 4) 140°

Step-by-step explanation:

1) add the two angles together then set them equal to 180 then solve for x. Once x is found plug it in for ∠A

2) set the two angles equal to each other then solve for x. once x is found plug it in for ∠B

3) set the two angles equal to each other to find x. once x is found plug it in for ∠C

4) add the two angles together then set it equal to 180. solve for x. once x is fould plug it in for ∠D

evelyns yoga class has 50 participants. its rules require that 60% of then must be present for a class. If not, the class will be canceled. At least how many participants must be present to have a class

Answers

Answer:

30

Step-by-step explanation:

50*(60/100)

=50*(3/5)

=30

PLS GIVE BRAINLIEST

The minimum number of participants will be 30

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Evelyn's yoga class has 50 participants. its rules require that 60% of them must be present for a class. If not, the class will be cancelled.

The minimum number of participants will be calculated as,

Number = 50 x (60/100)

Number = ( 5 x 6 )

Number = 30

To know more about percentages follow

https://brainly.com/question/24304697

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Find x and the lengths of sides JM, MN, and JN. Triangle JMN is an isosceles triangle with side JM ≅ side MN. JM = 2x - 5, MN = 3x -9, and JN = x - 2.

Answers

Answer:

x = 4

JM ≅ MN = 3

JN = 2

Step-by-step explanation:

In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN

Given

JM = 2x - 5

MN = 3x -9, and

JN = x - 2.

Since JM≅ MN then;

2x - 5 = 3x-9

Collect like terms;

2x-3x = -9+5

-x = -4

multiply both sides ny -1;

-(-x) = -(-4)

x = 4

For side JM;

JM = 2x-5

JM = 2(4)-5

JM = 8-5

JM = 3

Since JM ≅ side MN, hence;

MN = 3

For side JN;

JN = x-2

JN = 4-2

JN = 2

Answer:

good job

Step-by-step explanation:

Write an equation in Point Slope Form that has a slope
of -2 and passes through the point (5,7)

Answers

Answer:

y-7=-2(x-5)

Step-by-step explanation:

point slope equation is y - y1=m(x-x1). so input the slope (m) and the point (x,y) into y1 and x1

Which of the following is the graph of the function shown above?

Answers

The given functions will be straight line graph as shown below

What are piecewise functions

Piecewise function are made of several functions on an xy-plane. According to the question, we are to plot the following piecewise functions.

The following functions are linear equation with a degree of 1. The given functions will be straight line graph as shown below;

Learn more on piecewise function here: https://brainly.com/question/27262465

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Pls help will give brainliest and be very detailed. What is 11+9

Answers

Answer:

20

Step-by-step explanation:

11+9=20 :)

Answer:

ok so 9+11 is 20. you start with 11 and add 9 to it using your fingers if needed:

11,12,13,14,15,16,17,18,19,20

Step-by-step explanation:

From a room temperature of 42 degrees, the temperature dropped by 20 degrees, then rose by 75 degrees and finally dropped by 1 degree. What is the temperature after the given changes?

Answers

Im pretty sure it is 95:)

The local traffic update is given on a radio channel every 12 minutes from 4:00 p.m. to 6:30 p.m. You turn the radio on at 4:16 p.m. How long will you wait for the local traffic update?

Answers

Answer:

8 minutes

Step-by-step explanation:

The next traffic update will be at 4:24 p.m. because 12 x 2 = 24. 24 - 16 = 8, so you have to wait for 8 minutes.

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