MATHEMATICS COLLEGE

Please help thanks!!

Answers

Answer 1

Answer:

Answer:

y = -2x + 4

Explanation:

Pick two points from the line: (1, 2), (0, 4)

Slope intercept form: y = mx + b

Find 'm': 2 - 4 = -2

Find 'b': 4

Insert numbers into equation: y = -2x + 4

Answer 2

Answer:

Answer:

y= -2x + 4

Step-by-step explanation:

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Fator the following problem x^2+12x+36
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Rick and Tom rented party halls. The Celebrations party hall charged Rick a rental fee of $65, including music, and $25 per guest. The Feast party hall charged Tom a rental fee of $40, $25 for music, and $25 per guest.If each of them spent the same amount of money, how many guests attended Rick and Tom's party?

A.
Five more guests attended Rick's party than Tom's party.
B.
Fifteen more guests attended Tom's party than Rick's party.
C.
The same number of guests attended Rick and Tom's party.
D.
Twenty-five more guests attended Rick's party than Tom's party.

Answers

Answer:

C. The same number of guests attended Rick and Tom's party.

Step-by-step explanation:

Let R and T represent the number of guests at Rick's and Tom's parties, respectively. The charges Rick and Tom paid are equal, so we have ...

65 +25R = 40+25+25T

25R = 25T . . . . . . . . . . . . subtract 65

R = T . . . . . . . . . . . . . . . . . divide by 25

The number of guests at each party is the same.

Is the product of opposites always 1

Answers

Answer:

yes

Step-by-step explanation:

hope it helps!

Answer:

Yes, the product of a number and its opposite is always 1, and the opposite of a negative number is always a positive number.

A rectangle is inscribed in a circle.Calculate the area of the circle. Use 3.14 for π. Round to the nearest hundredth.

1___ Square centimeters

2 Calculate the area of the rectangle.

3. Calculate the area of the shaded region. Use 3.14 for π. Round to the nearest hundredth.

Answers

Answer:

1. The area of the circle is 132.67 square centimeters

2. The area of the rectangle is 60 square centimeters

3. The area of the shaded region is 72.67 square centimeters

Step-by-step explanation:

* Lets explain how to solve the problem

- A rectangle is inscribed in a circle, that means the vertices of the

rectangle lie on the circumference of the circle

∴ The diagonal of the rectangle = the diameter of the circle

- From the attached figure

∵ The diameter of the circle = 13 cm

∵ The radius of the circle is half the diameter

∴ The radius of the circle = 1/2 (13) = 6.5 cm

- The area of the circle = πr²

∵ π = 3.14

∴ The area of the circle = 3.14 × (6.5)² = 132.67 cm²

1. The area of the circle is 132.67 square centimeters

- The area of any rectangle = length × width

∵ The length of the rectangle is 12 cm

∵ The width of the rectangle is 5 cm

∴ The area of the rectangle = 12 × 5 = 60 cm²

2. The area of the rectangle is 60 square centimeters

- The area of the shaded region is the difference between the

area of the circle and the area of the rectangle

∵ The area of the circle = 132.67 cm²

∵ The area of the rectangle = 60 cm²

∵ The area of the shaded region = area of circle - area of rectangle

∴ The area of the shaded region = 132.67 - 60 = 72.67 cm²

3. The area of the shaded region is 72.67 square centimeters

593,204 rounded to the nearest million

Answers

The answer is 1,000,000

Suppose you are an elementary school teacher. You want to order a rectangular bulletin board to mount on a classroom wall that has an area of 90 square feet. Suppose fire code requirements allow for no more than 30% of a classroom wall to be covered by a bulletin board. If the length of the board is three times as long as the width, what are the dimensions of the largest bulletin board that meets fire code?

Answers

Answer:

3 feet wide and 9 feet long.

Step-by-step explanation:

The classroom wall has an area of $90ft^2$ .

The fire code requirements allow a bulletin board with an area of at most 30% of $90ft^2$ . This means that the maximum area of the bulletin board is $27ft^2$

Let L and W be the length and wide of the bulletin board.

If the length of the board is three times as long as the width, then L=3W, and the area of the board is $LW=3WW=3W^2$

For the largest board we have, $3W^2=27 \Rightarrow W^2=(27)/(3)=9 \Rightarrow W=√(9)=3ft$

So, the largest bulletin board that meets the fire code is 3 ft. wide and 9 ft. long.

Find the volume of a pyramid with a square base, where the perimeter of the base is 15.4 and the height of the pyramid is 13.1. Round your answer to the nearest tenth of a cubic meter.

Answers

The requried volume of the pyramid is 64.9 cubic meters.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profilearea multiplied by the length at which that profile is extruded.

The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:

15.4 / 4 = 3.85

Therefore, the area of the base is:

A = (3.85)² = 14.8225 square meters

The volume of a pyramid is given by the formula:

V = (1/3) * A * h

where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:

V = (1/3) * 14.8225 * 13.1

V = 64.91925 cubic meters

Rounding to the nearest tenth of a cubic meter, we get:

V ≈ 64.9 cubic meters

Therefore, the volume of the pyramid is approximately 64.9 cubic meters.

Learn more about Volume here:
brainly.com/question/1578538

#SPJ3

Answer: 69.3

Explanation: So if the height is 13.1, that means that the length is 2.3. And to find volume, you do length times width times height. So the width would be 2.3 because it is a even square if that makes since. Now 2.3 times 2.3 is 5.29. Now we multiply 5.29 by 13.1. The answer is 69.299. Now we round this to the nearest tenth, so the answer would be 69.3.

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Kristen owns a bakery and is making a cake for a wedding. The dimensions of the cake are shown below. Answer each of the questions below.What is the frosted area of the top cake? (Round to the nearest tenth) What is the frosted area of the bottom cake? (Round to the nearest tenth)What is the total surface area of cake that will be frosted?

Define the first law of thermodynamic with one example.

Simplify the expression- 3 - 5/6 / 5/2