Mr. Mares' class has 28 students. If five people can work together on a group project, estimate the number of groups that there will be by rounding the larger number.

[tex] m \angle B = 22 \degree[/tex]

Explanation:

Given:

[tex]\sf m \angle A = 120 \\ \sf m\angle B =x \\\sf m \angle C = x+16[/tex]

To find:

[tex]\sf m\angle B \: = ?[/tex]

Solution:

We know that,

sum of all the interior angle of triangle equals 180 degrees.

[tex]\sf m \angle A + m\angle B + m \angle C = 180 \degree \\ \sf 120 + x + x + 16 = 180 \degree \\ \: \sf 2x+136= 180\degree \\ \: \sf 2x=180-136 \\ \:\sf 2x=44 \degree \\ \sf \: x= \frac{44}{2} \\ \:\sf x= 22 \degree[/tex]

Measure of angle B is equal to x hence,

[tex] m \angle B = 22 \degree[/tex]

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Answer:

The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.

Step-by-step explanation:The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.

The exponential regression that shows the relationship between the number of subcribers in millions (y) since 1990 is y = 4.9(1.37)ˣ

Let y represent the amount of subscribers in millions, x years since 1990.

From the table; at point (0, 4.9):

y= abˣ

4.9 = ab⁰

a = 4.9

At point (10, 118.1)

118.1 = 4.9(b)¹⁰

b = 1.37

The exponential regression that shows the relationship between the number of subcribers in millions (y) since 1990 is y = 4.9(1.37)ˣ

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[tex]\dfrac{3}{\sqrt 7- \sqrt 2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7- \sqrt 2 \right)\left( \sqrt 7+\sqrt 2\right)}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7 \right)^2 - \left(\sqrt 2 \right)^2 }\\\\\\= \dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{7-2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}5[/tex]

Step-by-step explanation:

2nd one

we need 3 2/5 that is 3+ 2/5

-7 1/5 = -7-1/5

so 2nd one

Answer:

Step-by-step explanation:

Givens

Circle:      3 grams       Number:  1  right hand side Number LHS: 2

Square:   2 grams        Number:  2 Number LHS: 5

Triangle: x                    Number:  5  Number LHS: 2

Formula

Mass RHS   = Mass LHS

Solution

3*1 + 2*2 + 5x = 3*2 + 5*2 + 2*x        Combine

3 + 2 + 5x = 6 + 10 + 2x

5 + 5x = 16 + 2x                                 Subtract 5 from both sides

5-5+5x = 16-5 + 2x                            Combine

5x = 11 + 2x                                       Subtract 2x from both sides

3x = 11                                               Divide by 3

x = 11/3

As you can see, I'm not getting any of the answers that you have provided. Ask your teacher how it was done. (The method used is correct).

Answer:

8

Step-by-step explanation:

Answer:

X = 10.4

Step-by-step explanation:

Since the angle is a 90 degress angle we can assume that

39 + (5x-1) = 90 degrees.

Therefore we can subtract 39 from both sides which will give us

5x-1=51

Add 1 to both sides

5x = 52

Divide both sides by 5

x=52/5

The answer is

X = 10.4

Hope this helps! :)

Answer:

b and d i think hope this helps

Step-by-step explanation:

The function Q is a linear function  because the function Q has a constant rate

The functions are given as:

A linear function is represented as:

y = mx + b

Where m represents the slope, and b represents the y-intercept

By comparing y = mx + b to the functions, we can see that the function Q is a linear function.

This is so because the function Q has a constant rate, while the function P does not have a constant rate

Read more about linear functions at:

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Answer:

12 acres

Step-by-step explanation:

30+45+5 = 80 so theres 20% left.

20% of 60 is 12

QUESTION 1

[tex]cos\ \theta = \frac{12}{13}\\\theta = cos^{-1}\frac{12}{13} = 22.62\textdegree = 0.3948\ (\text{radians})[/tex]

QUESTION 2

[tex]\frac{3\pi}{2} < \theta < 2\pi\ \text{then find}\ sin(2\theta)[/tex]

First, the fact that we have [tex]sin(2\theta)[/tex] means we have to adjust our range

[tex]\frac{3\pi}{2} < \theta < 2\pi\ \ \text{becomes}\ \ 3\pi < 2\theta < 4\pi\[/tex]

[tex]sin\ 2\theta = \frac{3\pi}{2}\\2\theta = sin^{-1} \frac{3\pi}{2}\\2\theta = \text{error}[/tex]

There are no solutions to inverse sin of  [tex]\frac{3\pi}{2}\\[/tex]

Answer:

(1,5) (7,13) (10,17) (7,13)

Step-by-step explanation:

1 4  7  10  13

5 9 13 17 21

Answer:

Question 1: 59

Step-by-step explanation:

Question 1: 11.80*5=59

The number of years it will take the balance to reach $5,518.73 with annual compounding is  9.87 years.

When an account earns annual compounding, it means that both the interest accrued and the amount deposited increases in value once a year.

The formula that can be used to determine the number of years is:

Number of years =  (In FV / PV) / r

(in 5518.73/4228) / 0.027 = 9.87 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217

Answer:

7

Step-by-step explanation:

We have 42 oranges. we want to split the oranges evenly to 6 people. 42 divided by 6 people equals 7 oranges a person.

42÷6

=7

so each person will have 7 oranges.

Answer:

It's A!

Step-by-step explanation:

A good strategy to pay down the principal of the student loan is making payments in monthly instalments, the correct option is A.

A student loan is the amount borrowed by a student from a bank or any other financial institution for studies.

The borrowed amount is large and it becomes a burden if decided to pay all at once after studies on getting a job, a monthly payment of instalments is the right strategy.

To know more about Student Loan

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#SPJ2

Answer:

20 ml

Step-by-step explanation:

100 mg / ( 5mg /ml)  = 20 ml

Answer: 4?

Step-by-step explanation: im prob wrong

Answer:

3.5

Step-by-step explanation:

Answer:

[tex]\displaystyle 5,9708213214...\:in.[/tex]

Step-by-step explanation:

[tex]\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{112}{\pi} \hookrightarrow \sqrt{35,650707253...} = \sqrt{r^2} \\ \\ \boxed{5,9708213214... = r}[/tex]

I am joyous to assist you at any time.

Answer:

[tex] \cos( \alpha ) = \frac{7}{25} \\ \alpha = (73.73979529169) \\ \ \sin(73.73979529169) = \frac{h}{25} \\ h = \sin(73.73979529169) \times 25 \\ h = 24[/tex]

Answer:

3

Step-by-step explanation:

Answer:

The ten-thousands place. :)

Step-by-step explanation:

Answer:

Ten thousands place.

20 × 4 = 80chapters

hope it helps...!!!

Answer:

in third quadrant... i thinkso

Your answer is (3,6)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(3,6)

Your Answer:

Your answer is (3,6)

Answer:

Destin

Step-by-step explanation:

Only one that passes 85

Amy is considering visiting her new friend at one of his beach houses she chooses to visit  Destin and 85.

Amy is considering visiting her new friend at one of his beach houses in Florida.

She really loves the warm weather,

So she would like to choose to go somewhere with a high median temperature, and a small interquartile range.

We have to determine the place should she choose to visit.

The interquartile range is a measure of where the middle fifty is in a data set.

Destin HI 70 75 80 85.

Here She can choose the 4th position and which is 85.

The only one that passes 85.

Amy is considering visiting her new friend at one of his beach houses she chooses to visit  Destin and 85.

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