MATHEMATICS COLLEGE

Please explain how to do this!!

Answers

Answer 1

Answer:

9514 1404 393

Answer:

y = 55°

Step-by-step explanation:

You know the sum of angles in a triangle is 180°. So, ...

25° +30° +x = 180°

And, you know a linear pair of angles totals 180°:

x + y = 180°

Substituting for 180°, we have ...

25° +30° +x = x + y

Subtracting x from both sides, we get a relation that is useful to remember:

25° +30° = y

y = 55°

_____

This relation is usually described as ...

An exterior angle is equal to the sum of the remote interior angles.

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Kelly takes out a loan with the stated rate of 12% interest. If the interest is calculated weekly, how much greater is Kelly’s effective rate (The growth rate of compounded amount) Then her stated rate (the “stated” 12%)? Does the difference in effective rate and stated rate change depending on 1 year or 10 years ? Please answer this step if you can! Greatly appreciate it.

Answers

Answer:

12.73%

Step-by-step explanation:

Given the annual rate is 12% compounded weekly.

Let's assume 1 yr=52weeks.

The effective interest rate is calculated as:

$i_m=(1+r/m)^m-1, r=annual\ rate\n\ni_(52)=(1+0.12/52)^(52)-1\n\ni_(52)=0.1273$

Hence, the effective rate for 12% compounded weekly is 12.73%

-The effective rate will be different when the number of compounding times is less than or more than 1 year.

- the effective rate is equal to the stated rate if the compounding number of times is once per year.

A carpenter cuts a board 3 3/8 feet off the end of a board that is 6 1/2 feet long. How long is the remaining piece of board?

Answers

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The remainingpiece of the board when $3(3)/(8)$ feet is cut off from the end of the board of $6(1)/(2)$ feet is

$3(1)/(8)$ feet

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

1/2 of 4 is 2.

1/4 of 20 is 5.

We have,

Length of the board = $6(1)/(2)$ feet.

The lengthcutoff from the board = $3(3)/(8)$ feet.

The remaininglength of the board:

= $6(1)/(2)$ - $3(3)/(8)$

= 13/2 - 27/8

Find the Lcm of 2 and 8.

The Lcm of 2 and 8 is 8.

= (13x4 - 27) / 8

= (52 - 27) / 8

= 25/8

Write it in a mixedfraction.

= $3(1)/(8)$ feet

Thus,

The remainingpiece of the board when $3(3)/(8)$ feet is cut off from the end of the board of $6(1)/(2)$ feet is $3(1)/(8)$ feet.

Learn more about fractions here:

brainly.com/question/24370499

#SPJ2

Answer:

$6 * (1)/(2) - 3 * (3)/(8) = 1 * (7)/(8)$

Convert 0.0555 m to mm

Answers

Answer:

0.0555 meter =

55.5 millimeters

Answer:

55.5mm

Step-by-step explanation:

Simplify the following expression:
3g^2– 7g + 5g + 12

Answers

Answer:

3g^2 - 2g + 12

Step-by-step explanation:

3g^2 - 7g + 5g + 12

-7g + 5g = -2g

In the drawing, what is the measurment of angle y?

Answers

According to the vertical angle rule we know that x is 40 degrees. The sum of all angles in a triangle make 180, so the sum of x, 60, and the third angle is 180. x is 40 so the third angle is 180-60-40 which is 80 degrees. y is an adjacent angle, which means that the sum of y and 80 degrees is 180. 180-80 is 100, so y is 100 degrees.

A bag contains 10 w h i t e marbles, 5 g r e e n marbles, 6 y e l l o w marbles. If two different marbles are drawn from the bag , what is the probability of drawing a w h i t e marble then a y e l l o w marble?

Answers

Answer:

1/7

Step-by-step explanation:

If a bag contains 10 white marbles, 5 green marbles, 6 yellow marbles and two marbles are drawn at random, the probability of picking a white marble and then a yellow marble means a white marble was picked first and then followed by yellow marble.

Note that the white marble that was picked first was not replaced. This is a probability question without replacement.

Probability of an event = possible outcome of event/Total outcome of event

Total outcome = total number of marbles = 10+5+6 = 21marbles

If a white marble is selected first, the probability of selecting a white marble will be 10/21.

Since the white ball wasn't replaced, the new total number of marbles will become 21-1 = 20marbles

If yellow marble was then selected out of this 20 marbles remaining, the probability of selecting the yellow marble will be 6/20 {since there are 6yellow marbles}

The probability of drawing a white marble and then a yellow marble will then give us;

10/21×6/20

= 60/420

= 6/42

= 1/7(in its simplified form)

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