Mathematics High School

Give each trig ratio as a fraction in simplest form.

Answers

Answer 1

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

sin(D) = 20/29

D = arcsin(20/29)

D=43.60281897 °

cos( 43.60281897 °)= DF / 29

DF = 29*cos( 43.60281897 °)

DF = 21

sin(D) = 20/29

cos(D) = 21/29

tan(D) = 20 / 21

sin(E) = 21/29

cos(E) = 20/29

tan(E) = 21 / 20

Related Questions

Look at this table:
-4
10
81
-3
10
27
10
-2
9
-1
10
3
0
10
Write a linear (y = mx + b), quadratic (y = ax?), or exponential (y = a(b)") function that
models the data.
y =

Answers

Hi,

Your y=MX+b equation would be y=20/81x+10

Hope this helps!

En una multiplicación, si un factor es un número natural y el otro es un número entero negativo, el producto es siempre menor que cada uno de los factores. Es verdadero o falso

Answers

Answer:

Falso.

Step-by-step explanation:

Acá tenemos la proposición:

"En una multiplicación, si un factor es un número natural y el otro es un número entero negativo, el producto es siempre menor que cada uno de los factores."

Primero tratemos de demostrar que esto es falso, para ello debemos encontrar un solo ejemplo en el que la proposición sea falsa.

Elijamos al número 1 como el número natural,

Elijamos -10 como el número entero negativo.

El producto es:

1*-10 = -10

Ahora veamos si el producto es menor que cada uno de los factores.

-10 < 1 ?

Si, -10 es menor que 1.

Ahora veamos con el otro factor:

-10 < - 10?

No, un número no puede ser menor que si mismo.

Entonces el producto no siempre es menor que cada uno de los factores.

Entonces la proposición es falsa.

Use the following set of the data 20, 28, 30, 6, 15, 18, 21, 22, 25, 29, 24, and 26. What is the interquartile range of the data

Answers

Answer:

Hi! The answer to your question is 8

Step-by-step explanation:

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Hope this helps!!

- Brooklynn Deka

Solve the system by substitution.
-5x-6y=7
x= -y

Answers

Answer:

What is OBJ X = -81

Step-by-step explanation:

Evaluate b+c when a=5, b= 17, and c= 25

Answers

Answer:

Step-by-step explanation:

17 + 25 = 42

42 is the answer. B is 17 and C is 25. Add up 17 and 25 to get 42.

Plz chooses one more question because I already answered one

Answers

Answer:

C and E

sorry for the late answer

Hope it helps!Hope it helps!:)

Please help me. I am confused.

Answers

Answer:

Step-by-step explanation:

100% - 75% = 25% = 0.25

x² = 16² × 0.25 = 64

x = 8

Factor the expression:
7x+63

Answers

Answer:

7(x + 9)

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

First subtract 63

7x = -63

Then divide by 7

x = -9

Brₐinliest plz

In ΔQRS, r = 930 cm, q = 920 cm and ∠Q=114°. Find all possible values of ∠R, to the nearest 10th of a degree.

Answers

Answer:

112.6 degrees

Step-by-step explanation:

The students in Elizabeth's grade voted to select a guest speaker. 27 students voted for a
famous athlete. If there are 45 students in Elizabeth's grade, what percentage of the students
voted for the athlete?
Write your answer using a percent sign (%).

Answers

Answer:

60%

Step-by-step explanation:

I made it a fraction. multiplied by 2.22222 (45×2.22222=100) and in the numerator I got 60

HELP ITS URGENT PLEASEEE

Answers

Answer:

162 degrees

Step-by-step explanation:

We can look at this problem like a circle, the figure is essentially a circle and a circle is equal to 360 degrees. Using this and knowing that the box is equal to 90 degrees you simply subtract 90+108 from 360 to get a.

(5 + 16) / 7 + 3^2 - (1 + 3)

Answers

the answer is 3 quqjwjjwjd

Answer:

Step-by-step explanation:

(5 + 16) / 7 + 3^2 - (1 + 3)

21 / 7 + 3^2 - 4

21 / 7 + 9 - 4

3 + 9 - 4

12 - 4

Use PEMDAS.

P - Parenthesis

E - Exponents

M/D - Multiply/Divide

A/S - Add/subtract

So for this:

Start with parenthesis: (5+16) and (1+3), so 21 and 4

Then exponent: 3^2, which is 3*3 which is 9

Then divide: 21/7 is 3

And then the rest: 3 + 9 - 4. 3+9 is 12, 12-4 is 8, so you're answer is 8.

A bag contains 9 marbles: 5 are green, 2 are red, and 2 are blue.

David chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is green and the second
is red? Write your answer as a fraction in simplest form.

Answers

Answer: 5/9 x 2/8. The probability that the first marble is green and the second is red is 13.8%. In fraction form, the answer is 5/9 x 2/8 because the two outcomes must be multiplied. I really hope that helps!

Gina randomly selected students at her school to ask them about their
favorite season. If there are 900 students at Gina's school, how many of
them would choose fall as their favorite season?

Answers

Answer:

252

Step-by-step explanation:

7/25=252/900

What's the answer please

Answers

Answer:

Step-by-step explanation:

6. I need help
I don't know the answer

Answers

There you hope s this help

86 + p = 96 what is the answer

Answers

Answer:

p=10

Step-by-step explanation:

86+p=96

Subtract 86 from both sides

86+p-86=96-86

Simplify;

p=10

please silve this question fast

Answers

100 pages a hour

This is a fraction equal to
300 Pages ÷ 3 hours

We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 3

300 Pages ÷ 3
3 hours ÷ 3
=
100 Pages
1 hour
=
100 Pages
hour
= 100 Pages per hour

Please be a help and help with my math and show your work, please.

Answers

Answer:

area = 2184 ft²

Step-by-step explanation:

height² = 60² - 36² = 3600 - 1296 = 2304

height = √2304 = 48

base = 36 + x

x² = 73² - 48² = 5329 - 2304 = 3025

x = √3025 = 55

base = 36 + 55 = 91

area = 1/2(h)(b) = 1/2(48)(91) = 2184 ft²

Explain how the parts of this body system work for Hussein to feel the icy-cold drink. After identifying the body system, explain what other possible scenarios is that body system used for.

Answers

Answer:

The ice cold drink can freez hussain brain

Step-by-step explanation:

a little help would be nice

Answers

Answer:

13). -2x³ + x² + 1 14). x + 10y - 10z 15). -2x³ + x² + 1

Step-by-step explanation:

13). (x³ - x² + 4) - (3x³ - 2x² + 3)

= x³ - x² + 4 - 3x³ + 2x² - 3

= x³ - 3x³ - x² + 2x² - 3 + 4

= -2x³ + x² + 1

14). (3x + 4y - 3z) - (2x - 6y + 7z)

= 3x + 4y - 3z - 2x + 6y - 7z

= 3x - 2x + 4y + 6y - 3x - 7z

= x + 10y - 10z

15). (x³ - x² + 4) - (3x³ - 2x² + 3)

= x³ - x² + 4 - 3x³ + 2x² - 3

= x³ - 3x³ - x² + 2x² + 4 - 3

= -2x³ + x² + 1

12a + 3 - y
What is the constant?
What is the coefficient?
What is the variable?
What are the factors of 9x?

Answers

Answer:

the constant is 3 the coefficant is y and the varible is a and the factors of 9 are 18 and 27

Step-by-step explanation:

Answer:

The constant is 3

The coefficient is 12

The variables are both A and Y.

Disclaimer: I'm not sure about this next one, but I believe it's right.

9x factors are 3x, 1, and 9x.

If you wanted me to factor it, then it'd be something like 3x(3)

Step-by-step explanation:

A constant is a number that is by itself. Variables can't be constants. In this case, the only number that is by itself, that isn't a variable is 3. Therefore, 3 is the constant.

A coefficient is a number that accompanies the variable. Normally in a math equation, a variable is multiplied by a number. In this case, A is being multiplied by 12, so 12 is the coefficient.

The variable is the letter that represents any number. In this case, there are two variables, A and Y. They both represent numbers that can differ. So, A and Y are the variables.

The factors of 9x are 3x, 3, 1x, 1, 9x, and 9.

9 times 1x is 9x, 9x times 1 is also 9x.

3 times 3x is 9x, and 3x times 3 is again, 9x.

Sorry if I was wrong about the 4th one.

I think its angle bisector but want to make sure.

Answers

Answer:

Yes, that's an angle bisector.

You are correct in saying that this is a bisector.

help pls! 50 pts and brainliest!
tyyyy

Answers

Answer:

Step-by-step explanation:

(1/6)*60 = 10

(1/6)*450 = 75

Check your work

75/10 = 7.5

450/60 = 7.5

Correct!

Answer:

vvvvvv

Answer is D)

im a bit confused :(

Answers

Answer:

420

Step-by-step explanation:

the basic formula for volume is length × width × height.

multiply them all!

Answer:

Step-by-step explanation:

For more information search volume for triangular prism and enter the numbers for the diagram

As an estimation we are told 5 miles is 8 km.
Convert 55 miles to km

Answers

Answer:

88 km.

Step-by-step explanation:

If 5 miles is 8 km,

55 miles is 88 km.

What you need to do is 55/5 = 11.

Then multiply that 11 to 8.

11 * 8 = 88.

Basically, if you are multiplying 5 by 11 to get 55, you need to multiply 8 by 11 to get 88.

Answer:
440 km

Answer:

the point V(2,5) is rotated 180 degrees clockwise around the origin what are the coordinates of the resulting plot

Answers

Answer:

(-2,-5)

Step-by-step explanation:

When we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y)

Answer:

(-2 , -5)

Step-by-step explanation:

rotated 180 degrees clockwise around the origin: (x , y) -> (-x , -y)

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Answers

Answer:

b hope it helps make brainlliest ty

Answer:

X is 30. Y is 150.

Step-by-step explanation:

Hope this helps

Calculate the interest earned on a $4,500
saving account that earns 2.5% simple interest over
3 years

Answers

Answer:

I = $337.50

Step-by-step explanation:

I = prt

I = 4500(.025)(3)

I = 337.50

The interest earned is $337.50.

What is Simple Interest?

The interest on a loan or principal amount can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more. When you pay back a loan, the monthly interest is deducted first, and any remaining funds are applied to the principle.

Simple Interest = Principal x Interest Rate x Time/ 100

Given:

Principal= 4500

Rate= 2.5%

Time= 3 years

Using Simple Interest

SI = ( P x R xT)/100

SI = (4500 x 2.5 x 3) /100

SI = 33750/100

SI = $337.50

Hence, the interest earned is $337.50

Learn more about simple interest here:

https://brainly.com/question/25845758

#SPJ6

Please help
In order for you to carry a bag on the plane, it must t inside the Carry-on Baggage Check Box.
The Carry-on Baggage Check Box has dimensions of approximately 22" x 14" x 9". Your leather bag has a
height of 18 inches, a depth of 12 inches, and a width of 8 inches. Your canvas bag has a height of
18 inches, a depth of 15 inches, and a width of 10 inches.

1. What is the volume of the Carry-On Baggage Check Box?

2. What is the volume of the leather bag?

3. What is the volume of the canvas bag?

4. Which bag will denitely t into the Check Box? Explain.

Answers

Step-by-step explanation:

guessing

volume is always unit cubed

so in this case inches cubed or in^3

so multiply all 3 numbers

carry on is 22×14x9= 2772 in^3

leather is 18×12×8 = 1728 in^3

canvas is 18×15×10 = 2700 in^3 but the depth in ge's canvas 15" in larger than the carry on checklist

the leather will definitely fit

Other Questions

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