Write a proportion for the statement.
$118 per week is proportional to $472 per 4 weeks. The proportion is _____?

Answer:

θ ≈ 64.62°

Step-by-step explanation:

In this problem we will use trig: SOH CAH TOA. Since we are given hypotenuse (line AB) and adjacent (line ) to the missing angle θ, we will use cosine.

cosθ = adjacent/hypotenuse

cosθ = 3/7

Now take inverse cosine of both sides to cancel out cosine and find the missing angle:

cos⁻¹(cosθ) = cos⁻¹(3/7)

θ = cos⁻¹(3/7)         ---->      Plug into calculator

θ ≈ 1.128 radians · 180°/π rad   ------>.  Convert from radians to degrees

θ ≈ 64.62°

Hope this helps!

Answer: The measure of angle ? is approximately 64.62 degrees.

Step-by-step explanation:

The given value 3 is adjacent to angle ? and 7 is the hypotenuse. Remembering SOH CAH TOA, that means 3/7 = cos(?). To solve, use a calculator to find the inverse cosine of 3/7, which is about 64.62. Look at https://www.khanacademy.org/math/trigonometry/trigonometry-right-triangles/trig-solve-for-an-angle/a/inverse-trig-functions-intro to get a better understanding if needed.

Answer:

11 id.k i think

Step-by-step explanation:

i think that it

Answer:

The answer is A

Step-by-step explanation:

A pentagon is a polygon that has 5 sides and 5 vertices.

Answer:

1/3

Explanation:

P(Freshman | Boy)

⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes

Answer:

[tex]\sf \dfrac13[/tex]

Step-by-step explanation:

From the table:

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Boy)=\dfrac{12}{30}[/tex]

[tex]\sf \implies P(Freshman \cap Boy)=\dfrac{4}{30}[/tex]

[tex]\begin{aligned}\sf P(Freshman|Boy) & = \sf\dfrac{P(Freshman \cap Boy)}{P(Boy)}\\\\ & = \sf\dfrac{4}{30} \div \dfrac{12}{30}\\\\ & = \sf\dfrac{4}{30}\times \dfrac{30}{12}\\\\ & = \sf \dfrac{4}{12}\\\\ & = \sf\dfrac{1}{3}\end{aligned}[/tex]

Answer:

169 + 121 = 225

Step-by-step explanation:

It is not a right triangle
A squared + b square should equal c squared.
169 + 121 = 290

Answer:

The value of "a" is 1/2.

You can also check the answer by putting the value of a in the given equation...

if u need it let me know

        *basically you write the function in its simplest term where you cannot

          simplify it further

So:

     [tex]30x^3+10x^2 = 10(3x^3+x^2) = 10x^2(3x+1)[/tex]

Answer:  [tex]30x^3+10x^2[/tex] when factorized ⇒ [tex]10x^2(3x+1)[/tex]

Hope that helps!

Answer:

y = 29

Step-by-step explanation:

Since it is a vertical angle, both angles represented by the equations are equal. Meaning we can set them equal to each other and find y by simplifying.

4y-8 = 79+y

-79     -79

4y-87 = y

-4y       -4y

-87 = -3y

Divided by -3

29 = y

Answer:

4224 cm3

Step-by-step explanation:

V= w•h•l

4224 = 22•12•16

Answer:

30 cm³

Step-by-step explanation:

Volume = lbc

Answer:

The volume is 30 cm³

Step-by-step explanation:

Volume = l×b×c

=> 5×3×2

=> 30 cm³

Answer:

A = 0.72l B = 1.8l C = 1.8l

Step-by-step explanation:

A:B:C = 4:10:10

It means that B and C are equal

It is told that C contains 1.8 liters

B have to contain 1.8 liters too

1.8l*4/10 = 0.72l

You can also write it like this (this version is easier for me):

1.8l:10 = 0.18l

4*0.18l = 0.72l

Hope that I helped :)

Answer: 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

first box (far left)  should be 1/6

second box should be 24

third box (far right on first equation) should be 10

p = 24

Answer:

>

Step-by-step explanation:

This is the greater than symbol. Think of it like an alligator mouth that wants to eat the larger number. 3.2 is larger than -99.

Answer:

3.2 > -99

Step-by-step explanation:

3.2 ? -99

3.2 (positive number)

-99 (negative number)

Positive numbers are always bigger than negative numbers

3.2 ? -99

3.2 > -99

Hope this helps!

Answer:

Step-by-step explanation:

y = - 7x ......... (1)

- 14x - 2y = 0 ....... (2)

- 14x - 2y = 0 ⇒ y = - 7x

(1) and (2) are equivalent ⇒ system has infinitely many solutions

Answer:

Step-by-step explanation:

You have to use a distributive property.

Distributive property:

→ A(B+C)=AB+AC

⇒ (a+16)2

→ 2(a+16)

Multiply.

⇒ 2*a=2a

→ 2*16=32

Rewrite the problem down.

⇒ 2a+32

I hope this helps you! Let me know if my answer is wrong or not.

Hi!

Given:

[tex](a+16)2[/tex]

See the 2 out in front of the parentheses? Using the distributive property, we need to multiply that 2 by each of the terms inside of the parentheses. See the attached image below for more information.

So:

[tex]2*a+16*2[/tex]

[tex]2a+32[/tex]

Therefore, your answer is 2a + 32

Answer:

56% of the guests were over 25 years old.

Step-by-step explanation:

To convert a fraction to a percentage, multiply the fraction by 100. So, 14/25 can be multiplied by 4 to get 56/100, which is the same as 56%.

Answer:

Several interpretations:

1. If you're simply looking for the math involved in the employee's portion of the $8,800: 6.2% +1.45% = 7.65%. So 7.65% of $8,800 = $673.20.

2. If you are trying to calculate total FICA for this pay period, it would be 12.4% + 2.9% since these amounts are split between the employer and employee (15.3% = $1,346.40).

3. If you are trying to calculate the total for this pay period given that their YTD earnings are $417,900 (lucky employee!), they do not owe anything (see explanation below).

Step-by-step explanation:

The OASDI program limits the amount of earnings that are subject to taxation in a given year. For 2022, the contribution and benefit base, otherwise known as the taxable maximum, is $147,000. The taxable max for 2018 was $128,400).

Assuming this employee has exceeded that amount as their current YTD income is $417,900 (409,100 + 8,800), they don't owe anything.

Quick Edit:

My apologies! An additional 0.9% Medicare tax is added for taxable income exceeding $200,000 depending on their filing status. Table is available at https://fitsmallbusiness.com/

360 yd

Multiply all numbers to get 360 yd

Answer:

35,000

Step-by-step explanation:

Answer:

Corey will have $4550.00 in is account after 10 years.

Step-by-step explanation:

This is simple interest. Here is the formula for simple interest.

[tex]A=P(1+r*t)[/tex]

A = Final Amount

P = Principal Amount

R = Interest Rate

T = Time

We are given values for P, r, and t. Lets solve for A.

To get 3 percent as a decimal divide it by 100. We get 0.03.

[tex]P=3500[/tex]

[tex]r=0.03[/tex]

[tex]t=10[/tex]

[tex]A=3500(1+0.03*10)[/tex]

[tex]A=3500(1+0.30)[/tex]

[tex]A=3500(1.30)[/tex]

[tex]A=4550[/tex]

Answer:

Down:

Step-by-step explanation:

Terms in this set (23) The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation; for the ith observation the ith residual is yi − ŷi. The analysis of variance table used to summarize the computations associated with the F test for significance.

Answer:

the more you will pay in interest cost

[tex]\bold{Heya!}[/tex]

Your answer to this is:

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: (1)[/tex]

[tex]\sf{Apply \: rule:} \: (a) = a[/tex]

[tex]\sf{(1) = 1[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: ^. \: 1[/tex]

[tex]\sf{\frac{1}{1 \: + \:1} = \frac{1}{2}[/tex]

[tex]\sf{\frac{2^1^0^0}{1 \: + \: x^2^0^0} ^.^ \: 1 \: = \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

Answer:

2.5*10^-8 for sea water, 3.16*10^-11 for milk of magnesium, and 790 times greater

Step-by-step explanation:

We're trying to find the concentration of H+ in the solution using the pH, so

let's define pH first.
pH=-log(H+)

This equation can be re-written as
H+ = 10^(-pH), or H+ = 1/(10^pH)

The pH of sea water is 7.6, so the concentration of H+ in sea water is 10^(-7.6), which is about 2.5*10^-8

The pH of milk of magnesium is 10.5, so the concentration of H+ in milk of magnesium is 10^(-10.5), which is about 3.16*10^-11

To compare how much more the concentration of the hydrogen ion is, we just divide

(2.5*10^-8)/(3.16*10^-11) = 791, or 790 with sig figs.

Answer:

170 in²

Step-by-step explanation:

Surface Area

⇒ (2 x Length x Height) + (2 x Width x Height) + (2 x Length x Width)

⇒ (2 x 6 x 5) + (2 x 5 x 5) + (2 x 6 x 5)

⇒ 60 + 50 + 60

⇒ 170 in²

TSA:-

Answer:

¾. because 3 out of 4 are water cups

Answer:

75%

Step-by-step explanation:

3 cups of water to 1 cup of cranberry concentrate.

So, 4 cups of ingredients.

The percentage of  the cranberry juice that is water:

3 cups of water/4 cups of ingredients= 3/4.

To express 3/4 in percent, we multiply the fraction by 100%(percent).

[tex]\frac{3}{4}[/tex] * 100% = 75%

Hope this helps!

Please mark as brainliest!

Answer:

[tex]\log(24)[/tex]

Step-by-step explanation:

[tex]\log(8)+\log(3)=\log(8*3)=\log(24)[/tex]