1. Using the right triangle above, fill in the correct ratios for each trigonometric function. (do not simplify)

numbers on triangle:
77, 85, 36
(there is a right angle)

2. Decide which of the following statements are true based on the given triangle below. Assume the figure is drawn to scale such that angle A is greater than angle B
​

Answer:

D. 2 1/4.

Step-by-step explanation:

First, convert both -5 1/4 and -7 1/2 into improper fraction. These would be -21/4 and -15/2.

-21/4 - (-15/2)

Two negatives in a row make a positive.

-21/4 + 15/2

Double both the numerator and denominator of 15/2 to make it have the same denominator as -21/4. This would 30/4.

-21/4 + 30/4

Put -21 + 30 over 4 to make it a single fraction.

(-21 + 30)/4

Add -21 and 30 to get 9.

9/4

Convert 9/4 into a mixed number: 2 1/4

The answer to -5 1/4 - (-7 1/2) is 2 1/4, which is D.

Answer:

A.(2,100)

have a nice day and I hope it helps

Answer:

A

Step-by-step explanation:

Answer:Percent Error:: 33 1/3 %

Step-by-step explanation:hope this helps and sorry if its wrong

Answer:

4a + 4b - 24

Step-by-step explanation:

You first start off by giving (multiplying) 4 to everything that's in the parenthesis.

Second you multiply:

4 x 1a = 4a

4 x b = 4b (also remember that a variable by its self is just 1)

4 x -6 = -24

Lastly you put it together:

4a + 4b - 24

For the -24 you can either do it the way I did or this way -> (-24) but teachers will look mostly for -24 way. But use whichever one is easier for you :)

Hope this helps!

Answer:

6-x+2bry

Step-by-step explanation:

Answer:

Here are the steps required for Dividing by a Polynomial Containing More Than One Term (Long Division):

Step 1: Make sure the polynomial is written in descending order. If any terms are missing, use a zero to fill in the missing term (this will help with the spacing).

Step 2: Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol.

Step 3: Multiply (or distribute) the answer obtained in the previous step by the polynomial in front of the division symbol.

Step 4: Subtract and bring down the next term.

Step 5: Repeat Steps 2, 3, and 4 until there are no more terms to bring down.

Step 6: Write the final answer. The term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.

Example 1 – Divide: Example 1

Answer:

pi/6

got it right on plato

Answer:

x=18

Step-by-step explanation:

ok, so you mulityply base and hieght then divide by 2

your base is 6 and your height is 6

6x6=36

36/2=18

your welcome

Answer:

A.

Step-by-step explanation:

For starters, we can combine like terms. we can combine -3 with -2 to get -5, and [tex]\frac{3}{5} x[/tex] with [tex]\frac{-1}{5} x[/tex] to get [tex]\frac{2}{5} x[/tex]. Now, we have [tex]\frac{2}{5} x-5[/tex] as our final answer, or answer A. Also, brainliest is not necessary. Hope this helps!

Answer:

P(white ball)=0.29

Step-by-step explanation:

12 yellow balls

5 red balls

7 white balls

12+5+7=24

so 24 balls in the bag

[tex]\frac{7}{24}[/tex]=0.2916

rounded to the nearest is 0.29

Answer:

What do you need help with

Step-by-step explanation:

Answer:70 minutes

Step-by-step explanation:this is because since 1 min =6 cartons .And u are figuring out for 420 cartons ,you think what is 420 divide 6 which is 70 .So it means 70.

1 min = 6 cartons

x min = 420 cartons

do 420 times 1 it gives u 420 then divide by 6.

Answer:

ok....

Step-by-step explanation:

Umm I don't think this is a question but....

Oh my lord how did you fall off!!

I am going to call 911

They will be here in 5 minutes!!

Answer:

x = 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

3x - y = 18

y = 27

Step 2: Solve for x

Answer:

15

Step-by-step explanation:

3x - y = 18

Insert the value of y in the equation.

3x - 27 = 18

Shift -27 to the other side of the equation.

3x = 18 + 27

3x = 45

x = 45 ÷ 3

x = 15

So please check if your options and the equation are correct.

Answer:

The value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.

Step-by-step explanation:

Given the expression

[tex]2(4x+10)=8x+k[/tex]

solving

[tex]2(4x+10)=8x+k[/tex]

[tex]8x+20 = 8x+k[/tex]

We know that the equations with infinitely many solutions have the same expressions on both sides

It means the value of k can be determined by further simplifying such as

[tex]8x+20 = 8x+k[/tex]

8x+20-8x = k

20 = k

Therefore, the value of k = 20 for equation 2(4x+10)=8x+k to have infinitely many solutions.

VERIFICATION:

Given

[tex]2(4x+10)=8x+k[/tex]

[tex]8x+20 = 8x+k[/tex]

Put k = 20 in the equation

[tex]8x+20 = 8x+20[/tex]

[tex]8x+20 - 8x+20 = 0[/tex]

[tex]0 = 0[/tex]

equations with infinitely many solutions have the same expressions on both sides.

This means the statement is always true.

Answer:

5678

Step-by-step explanation:

Answer:

tanP = [tex]\frac{20}{21}[/tex] , tanQ = [tex]\frac{21}{20}[/tex]

Step-by-step explanation:

tanP = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{QR}{PR}[/tex] = [tex]\frac{20}{21}[/tex]

tanQ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{21}{20}[/tex]

Answer:

I think its 8 because 8 plus 8 is 64

Answer:

17 1/2

Step-by-step explanation:

To divide a whole number and a fraction, write the whole number as a fraction (in this case, 5 becomes 5/1). Then, change the division symbol to a multiplication symbol. After that, you flip the second number and multiply. As you can see, you get 35/2 as the answer. To simplify that, divide 35 by 2. The answer becomes the whole number, the divisor becomes the denominator, and the remainder becomes the numerator. That means our simplified answer is 17 1/2.

Answer:

I o u a e

Step-by-step explanation:

these are the vowels

Answer:

Manny should keep the old car since he gets to spend less on it in three years compared to getting the fuel-efficient car.

Step-by-step explanation:

Step 1:

Number of miles Manny commutes per week = 160

Cost per gallon of gasoline. = $2.9

Mileage of old car = 20 miles per gallon

Maintenance cost per year of old car = $760

Cost of new car = $7000

Maintenance cost per month of new car = $10

Mileage of new car = 31 miles per gallon

Step 2:

There are 52 weeks in a year. Total distance Manny will commute in 3 years = 160 * 52 * 3 = 24960 miles

Maintenance cost of old car in 3 years = $760 * 3 = $2280

Maintenance cost of new car in 3 years = $10/month * 12 months * 3 = $360

Gasoline usage of old car in 3 years = 24960 miles/20 miles per gallon = 1248 gallons

Cost of gasoline = 1248 * $2.9 = $3619.2

Gasoline usage of new car in 3 years = 24960 miles/31 miles per gallon

Cost of gasoline = $2.9 * 24960 miles/31 miles per gallon = $2334.97 or approximately $2335

Step 3:

Total expenditure on old car for 3 years = $2280 + $3619.2 = $5899.2

Total expenditure on new car for 3 years = $7000 + $360 + $2335 = $9695

From the calculations above, Manny will spend $5899.2 on the old car compared to $9695 on the new car in three years.

Therefore, Manny should keep the old car since he gets to spend less on it in three years compared to getting the fuel-efficient car.

Answer:

There are 3 prime numbers shown on the die: 2, 3 and 5. The probability of showing a prime number on a single die is 1/2, hence the probability of not showing a prime number is also 1/2. Total possible outcomes when two dice are rolled = 6*6 = 36. Total possible outcomes when two dice are rolled = 6*6 = 36.

Answer:

5800

Step-by-step explanation:

that is to the nearest hundred

Answer:

5,800

Step-by-step explanation:

In 5,816. the number in the hundred place is the 8. The rule in rounding is 5 and above goes up, under 5 stay the same. The number after the 8 is the 1 and 1 is less than 5, so stays the same. So the 5,816 rounded to the hundred place is 5,800.

Answer:

Step-by-step explanation:

2x + 14 + 3x + 3

Solving like terms

5x + 17

Answer:

5 years

Step-by-step explanation:

2500 x 0.04 = 100

500/100 = 5

Answer:

False

Step-by-step explanation:

The statement itself is wrong in the textbook is given that if a number is a rational then it si the additive inverse of the stsrement

Answer:

100

Step-by-step explanation:

In 17.92, the 7 is in the ones digit, so its value is 7.

In 92.17, the 7 is in the hundredth digit, so its value is 0.07

7 is 100 times 0.07

Answer:

Step-by-step explanation:

Use of formulas:

Simplifying

Answer:

[tex] { (\frac{2 {p}^{3} }{ {q}^{2} }) }^{( - 4)} = \frac{{2}^{(-4)} {p}^{(3 \times ( - 4))} }{ {q}^{(2 \times ( - 4))} } = \frac{ {p}^{ (- 12)} }{16 {q}^{( - 8)} }=\boxed{\frac{ {q}^{8} }{ 16{p}^{12} }} \\ [/tex]

Answer:

[tex]y=-2x+12[/tex]

Step-by-step explanation:

We can use the point-slope form given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for m and (5, 2) for (x₁, y₁). This gives us:

[tex]y-(2)=-2(x-(5))[/tex]

Simplify:

[tex]y-2=-2(x-5)[/tex]

Distribute:

[tex]y-2=-2x+10[/tex]

Add 2 to both sides. Hence, our equation is:

[tex]y=-2x+12[/tex]