Find the measure of the indicated angle to the nearest degree

Mathematical processes are the steps used to determine the result of operations

The dimension of the rectangle is given as:

[tex]Length = 5x^2 - 8x + 9[/tex]

[tex]Width = x + 5[/tex]

(1) The perimeter of the triangle

This is the sum of the side lengths of the rectangle.

So, we have:

[tex]Perimeter = 2 \times (Length + Width)[/tex]

This gives

[tex]Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)[/tex]

Collect like terms

[tex]Perimeter = 2 \times (5x^2 - 7x + 14)[/tex]

Open brackets

[tex]Perimeter = 10x^2 - 14x + 28[/tex]

Hence, the perimeter of the rectangle is [tex]10x^2 - 14x + 28[/tex]

(2) The area of the triangle

This is the product of the dimensions of the rectangle.

So, we have:

[tex]Area = Length \times Width[/tex]

This gives

[tex]Area = (5x^2 - 8x + 9) \times (x + 5)[/tex]

Open brackets

[tex]Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45[/tex]

Collect like terms

[tex]Area = 5x^3 - 8x^2 +25x^2+ 9x - 40x + 45[/tex]

[tex]Area = 5x^3 +17x^2 -31x + 45[/tex]

Hence, the area of the rectangle is [tex]5x^3 +17x^2 -31x + 45[/tex]

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Answer:

30/18=1 2/3 cups of popcorn in each bag

Hope This Helps!!!

Answer:

Step-by-step

= 2 ( 1 8 − ) − 1 3 -13=2(18-k)-138 + 6 − 1 3

= 2 ( 1 8 − ) − 1 3

Answer:

9 minutes

Step-by-step explanation:

60=15+5t

45=5t : subtract 15 from both sides

9=t : divide by 5 for both side

Answer:

62/100 but simplified is 32/50

Answer:

A - 144

Step-by-step explanation:

everything else would be too far. thx

Answer: 3y = 9x -12

Step-by-step explanation:

Answer:

D. 2

Step-by-step explanation:

Common denominator is already presented which is 4.

-3/4 and 3/4 cancel each other out.

you can also convert to decimal form -3/4 + 2 3/4 is the same as:

-0.75 + 2.75 = 2.

Answer:

The answer is A

Step-by-step explanation:

This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer.

You have 7 numbers

3 of them are positive which means greater than 0. Let's pick them

3 4 5 = 60

That part's easy. Those 3 numbers give a plus result.

Now try the other 4 numbers

-3  - 2  - 1 - 4

Do you see what's going to happen. You have -3 * - 2 = 6

then you get - 1 * - 4 = 4

All of a sudden you get a positive result 6 * 4 = 24

60 * 24 = 1440

So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.

Answer:

  a) positive

Step-by-step explanation:

If 3 of the 7 numbers are positive, the other 4 are negative. The product of an even number of negative factors is positive. The product of any number of positive factors is positive.

The product is positive.

The solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6

The limit expression is given as:

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5}[/tex]

Express 25 as 5^2

[tex] \lim_{x \to 1} \frac{x^2 - 5^2}{x - 5}[/tex]

Express the numerator as the difference of two squares

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} \frac{(x - 5)(x +5)}{x - 5}[/tex]

Evaluate the quotient

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} (x +5)[/tex]

Remove bracket

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} x +5\\ [/tex]

Substitute 1 for x

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 1 +5[/tex]

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 6[/tex]

Hence, the solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6

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Answer:

Here is your answer

Step-by-step explanation:

A cubic spline is a spline constructed of piecewise third order polynomials which pass through a set of control points. The second derivative of each polynomial is commonly set to zero at the endpoints since this provides a boundary condition that completes the system of equations.

Answer:

A cubic spline is a spline constructed of piecewise third-order polynomials in which pass through a set of control points. __________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

Option D : $153

This is how I got that:

9:30 AM to 1:15 PM = 3 hours and 45 minutes

The first hour charges $15 and for the remaining 2 hours and 45 minutes

Mr. Anand is charged 36$. Remember it says that each additional hour or part thereof, so the 2 hours and 45 minutes is considered 3 hours.

So our total for one paddle boat is $51

But Mr. Anand hired three boats so we simply times 51 by 3 and get our solution to the problem:

Mr. Anand must pay $153 or Option D

~That's All Folks~

-Siascon

Answer:

Idea one, if you want to memorize words fast and better, you can put part of it in your password of something and then try to log in to whatever you set the password on everyday. Idea two, if you want to study fast and quicker you need to spend big half of the day learning what you need to learn and reading books.

Hope this helps!

The best way I could explain this is that everyone has there own pace at doing things. Like me I learn very fast but I have to read over something to memorize them.

The only way I could say is that maybe take more notes and go over them everyday. It helped me a lot when I wanted to learn more and get better grades. Also another way is taking you time at first and when you get use to it you'll be able to read faster learn quicker but you have to go slow first to go fast.

Answer:

X= - ¾ X= - 0.75

Step-by-step explanation:

thats all i can do hope it help :D

Answer:

x=-19

Step-by-step explanation:

3x-9=2(x-14)

3x-9=2x-28

x-9=-28

x=-19

Answer:

11/14

Step-by-step explanation:

Have a nice day !!!

Answer:

its B, its 11/14

Step-by-step explanation:

Answer:

I'm not 100% sure but I believe the answer is A

The total hours of work done by Laura is 39 hours.

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.

Given the hourly income Laura = $14.50

total hours she works in a week = 40

increase in rate after working after 10 hours is 1.5 times

the hourly rate after 10 hours = 14.50 x 1.5 = $21.75

amount earned in 10 hours = 10 x 14.5 = $145

total earning = $775.75

the amount left after reducing the amount of 10 hours = 775.75 - 145 = $630.75

$630.75 is earned in = 630.75/21.75 hours = 29 hours

total hours Laura worked = 10 + 29 = 39 hours.

Hence Laura worked 39 hours in a week.

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Answer:

7,7,20 I think

Step-by-step explanation:

7+7 is less then 20

Answer:

the answer is:

Yousef typing speed, in words per minute is

equal to

54 words

minute

Answer:

Please attach the screenshot for the receipt so people can answer

Answer:

3.08                      

Explanation

3.79

+1.45

 1.24

-----------

6.53

+ .39

-----------

6.92                Now  

                              10.00

                             - 6.92

                            3.08

Answer:

Step-by-step explanation:

The conversion is a. 12 mm ≈ 0.47 inches

b. 75 km ≈ 46.60 miles

c. 150 m ≈ 492.13 feet

d. 63 square meters ≈ 678.13 square feet

e. 45 meters per second ≈ 147.64 feet per second

f. 1.9 L ≈ 2.01 U.S. quarts

To convert the metric units into the given English units, we'll use the following conversion factors:

1 inch = 25.4 mm

1 mile = 1.60934 km

1 meter = 3.28084 feet

1 square meter = 10.7639 square feet

1 meter per second = 3.28084 feet per second

1 liter = 1.05669 U.S. quarts

a. 12 mm to inches:

12 mm * (1 inch / 25.4 mm) ≈ 0.47 inches

b. 75 km to miles:

75 km * (1 mile / 1.60934 km) ≈ 46.60 miles

c. 150 m to feet:

150 m * (3.28084 feet / 1 meter) ≈ 492.13 feet

d. 63 square meters to square feet:

63 square meters * (10.7639 square feet / 1 square meter) ≈ 678.13 square feet

e. 45 meters per second to feet per second:

45 meters per second * (3.28084 feet per second / 1 meter per second) ≈ 147.64 feet per second

f. 1.9 L (liters) to U.S. quarts:

1.9 L * (1.05669 U.S. quarts / 1 liter) ≈ 2.01 U.S. quarts

So, after rounding to two decimal places:

a. 12 mm ≈ 0.47 inches

b. 75 km ≈ 46.60 miles

c. 150 m ≈ 492.13 feet

d. 63 square meters ≈ 678.13 square feet

e. 45 meters per second ≈ 147.64 feet per second

f. 1.9 L ≈ 2.01 U.S. quarts

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Answer:

1675

Step-by-step explanation:

do people not have calculators?

Δ PQR has: PM is a median

so: MR = QM = 3 cm

ANSWER: MR = 3 cm

Ok done. Thank to me :>

Answer:

8 feet

Step-by-step explanation:

it actually will be 8 feet