MATHEMATICS COLLEGE

Find the missing angle
measures marked with
question marks.
Find the missing angle measures marked with question marks. - 1

Answers

Answer 1
Answer:

Answer:

First one- The ? across from 70 degrees is 70 degrees, and the ones on the side are both 110 degrees.

The second one- The one across 53 degrees is 53 degrees and the ones are the side are both 127 degrees.

Step-by-step explanation:

Take the shown angle and subract that by 180 degrees to get your answer for the missing angles. And the one across from the shown angle is the same number.

Hope this helped im not sure if its right though.

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In your own words, describe how to graph the linear equation y = -1/5x + 3. Step by step

Answers

Answer:

Steps given below and graph is attached.

Step-by-step explanation:

First Step:

Find out y-intercept by substituting x=0

y=-(1)/(5)* 0+3\n\ny=3\n\nHence\ line\ passes\ through\ (0,3).

Second Step:

Find out x-intercept by substituting y=0.

0=-(1)/(5)x+3\n\n(1)/(5)x=3\n\nx=15\n\nHence\ line\ passes\ through\ (15,0).

Third Step:

Draw a line passing through (0,3)\ and\ (15,0).

Graph is attached.

ind the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Step by Step Explanation:
First find the area of the circle
Area = πr^2
=3.14 x 16
50.24 cm^2
But here we need the area of the semicircle
so 50.24/2 = 25.12 cm^2

Now we find the area of the triangle
Area = 1/2bh
= 1/2 x 8 x 4
16 cm^2

The area of the shaded region = 25.12-16
= 9.12 cm^2

Hope this helps you!

Ms. Terry's class is hosting a fundraisingchallenge. The students in her class are
divided into 4 teams. Each team has an
equal number of students. Do you have
enough information to find how many
students are on each team? Explain.

Answers

In being able to find out whether it is possible to know the number of students on each team, there simply isn't enough information to do so.

In order to find out the number of students on each team, the following formula is necessary:

= Number of students in general / Number of teams

The number of teams is 4 so the denominator is present.

We however, do not have the number of students in general so we are unable to find out the number of students in each team.

In conclusion, we do not have enough information to find out the number of students in each team.

Find out more at brainly.com/question/15459630.

You do not have enough information because you need to know how many students are in the class to be able to divide them into 4 equal groups we do know that it has to be a positive integer that can be evenly divided by 4

Simplify 3-8 divided by 3-2

Answers

The simplified result of the expression  3-8 divided by 3-2 is -5 .

Let's simplify the expression step by step :

Given expression: (3 - 8) / (3 - 2)

Step 1: Evaluate the numerator and denominator separately:

A fraction is considered to be simplified when it is expressed in the lowest term. That means the only common divisor between the numerator and denominator is .

Numerator: 3 - 8 = -5

Denominator: 3 - 2 = 1

Step 2: Divide the numerator by the denominator:

-5 / 1 = -5

So, the simplified result of the expression is -5 .

To know more about Simplify click here :

brainly.com/question/31298232

#SPJ3

Answer:

-5

Step-by-step explanation:

(3 - 8)/(3 - 2)

( - 5)/(1)

- 5

Assume that you have a balance of $5000 on your Visa credit card and that you make no more charges. If your APR is 22% and each month you make only the minimum payment of 3% of your balance, then find a formula for the balance after t monthly payments.A) 5000(0.952217)t

B) 5000(1.011117)t

C) 5000(0.987783)t

D) 5000(1.048883)t

Can someone explain to me how to solve this please

Answers

Answer:

C) 5000(0.987783)^t

Step-by-step explanation:

The monthly interest rate is the APR divided by 12, so is 22%/12 ≈ 0.018333.

Each month, the previous balance (B) has interest charges added to it, so the new balance is ...

balance with interest charges = B + (22%)/12×B = 1.018333×B

The minimum payment is 3% of this amount, so the new balance for the next month is ...

balance after payment = (1.018333B)(1 - 0.03) = 0.987783B

Since the balance is multiplied by 0.987783 each month, after t payments, the balance starting with 5000 will be ...

5000×0.987783^t . . . . . . . . . matches choice C

Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a service facility. Suppose they are normal random variables with means of 50 minutes, 60 minutes, and 40 minutes, respectively. The standard deviations are 15 minutes, 20 minutes, and 10 minutes, respectively. a Suppose X1, X2, and X3 are independent. All three repairs must be completed on a given object. What is the mean and variance of the total repair time for this object.

Answers

Answer:

The mean of the total repair time is 150 minutes.

The variance of the total repair time is 725 minutes^2.

Step-by-step explanation:

To solve this problem, we have to use the properties of the mean and the variance. Our random variable is the sum of 3 normal variables.

In the case, for the mean, we have that the mean of the sum of 3 normal variables is equal to the sum of the mean of the 3 variables:

y=x_1+x_2+x_3 \n\nE(y)=E(x_1+x_2+x_3)=E(x_1)+E(x_2)+E(x_3)\n\nE(y)=50+60+40=150

For the variance, we apply the property for the sum of independent variables (the correlation between the variables is 0):

V(y)=V(x_1)+V(x_2)+V(x_3)\n\nV(y)=s_1^2+s_2^2+s_3^2\n\nV(y)=15^2+20^2+10^2\n\nV(y)=225+400+100\n\nV(y)=725
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