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andreyandreev [35.5K]
3 years ago
9

SOMEONE PLEASE HELP ME !!!!!

Mathematics
1 answer:
Maslowich3 years ago
5 0
The side of the barn is made of 2 shapes, a triangle and a rectangle. Find the area of each shape, then add together to find the total area.

To find the area of the triangle, we multiply 1/2 x (triangle base x triangle height), we can find the triangle height by subtracting the height on the right by the height on the left, so 26.5-14.5 = 12.5ft.

The area of the triangle is 1/2 x (22.8x12.5) = 142.5 square ft.

The area of the rectangle is calculated by multiplying one side by the other, which is 22.8x14.5 = 330.6 square feet.

The total area of the side of the barn is 330.6 + 142.5 = 473.1 square feet.



Since we now know the area of the side of the barn, we can find the cost of paint needed. A one gallon paint can covers 350 square feet and costs $20, but we need to paint 473.1 square feet so we'll need to buy a second can. This means we can easily paint the side of the barn with 2 cans, costing $40 in paint.
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Johanna is selling cheese at the farmers’ market. One wheel of cheese has a diameter of 9 inches.
AleksAgata [21]

Answer:

The area of the wheel cheese is 63.62 inches²

The cost per square inch is $0.29

Step-by-step explanation:

* Lets explain how to solve the problem

- One wheel of cheese has a diameter of 9 inches

∵ The wheel is shaped a circle

∵ The diameter of the wheel is 9 inches

- The radius of the circle is half its diameter

∵ The radius of the wheel = 1/2 its diameter

∴ The radius of the wheel = 1/2 (9) = 4.5 inches

- The area of a circle = πr²

∴ The area of the wheel cheese = π(4.5)² = 63.61725124 inches²

* The area of the wheel cheese is 63.62 inches²

- The 9-inch wheel of cheese costs $18.60

∵ The area of the wheel cheese is 63.62 inches²

∵ It cost is $18.60

- To find the cost per square inch divide the cost of the wheel

  by its area

∴ The cost per square inch = 18.60 ÷ 63.62 = 0.29

∴ The cost per square inch is $0.29

6 0
3 years ago
Solve the equation in the complex number system <br> X^4-2x^2-3=0
Anastaziya [24]
x^4-2x^2-3=0\\&#10;x^4+x^2-3x^2-3=0\\&#10;x^2(x^2+1)-3(x^2+1)=0\\&#10;(x^2-3)(x^2+1)=0\\&#10;x^2-3=0 \vee x^2+1=0\\&#10;x^2=3 \vee x^2=-1\\&#10;x=-\sqrt3 \vee x=\sqrt3 \vee x=-i \vee x=i
5 0
3 years ago
four times a number decreased by 6 is less than -2. Define a variable, write an inequality, and solve for the number​
Strike441 [17]

The inequality is 4x - 6 < - 2 and solution for number is x < 1, where "x" is the variable

<em><u>Solution:</u></em>

Given that four times a number decreased by 6 is less than -2

To find: Define a variable, write an inequality, and solve for the number​

Let "x" be the required number

From given information,

four times a number decreased by 6 < -2

four times "x" decreased by 6 < - 2

Here "times" represents multiplication. Four times x means 4 is multiplied by x

Decreased means something is subtracted away

Here 6 is subtracted from four times "x"

<em><u>So we frame a inequality as:</u></em>

4x - 6 < - 2

Moving -6 from R.H.S to L.H.S,

4x < -2 + 6

4x < 4

Dividing both sides by 4,

x < 1

Thus the inequality is 4x - 6 < - 2 and solution for number is x < 1

3 0
3 years ago
How long will it take a bus to travel 825 miles at a rate of 55 mph
liubo4ka [24]

Answer:

8,.5 hours

Step-by-step explanation:

.

3 0
3 years ago
Read 2 more answers
What decimal is equal to 15%?
kompoz [17]
15% is equal to 15/100

15 divided by 100 = 0.15

0.15 is your answer

hope this helps
4 0
3 years ago
Read 2 more answers
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