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2 years ago

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Mathematics

2 answers:

marin [14]2 years ago

7 0

Answer: -45 feet in 15 hours

Step-by-step explanation: First you have to know how much it drills per hour. For that your ganna have to divide -72 and 24 to get answer of how much per hour, which is -3 per hour. Finally, your ganna have to multiply -3 and 15 which gives you the final answer of -45 feet in 15 hours

Neko [114]2 years ago

7 0

Answer:

-45 feet.

Step-by-step explanation:

First, we need to find out the rate at which the machine was digging. To do this, we need to divide -72 by 24, to find how many feet are dug each day. Once we divide, we get a rate of -3 feet per hour. We can then make an equation based on this, y = -3x. We can then plug in the hours we want to find, 15, into the equation, to make y = -3(15). Once we multiply, we get y = -45, so our answer is -45 feet.

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A jewelry box is in the shape of a rectangular prism with an area of 528 cubic inches. The length of the box is 12 inches and th

Olin [163]

The height is 8 i believe

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3 years ago

Question 6 options: What is the approximate area of a circle with a diameter of 56 cm? Use your calculator button for π. Round y

Andrew [12]

The area of circle is 2463.0086 cm².

Step-by-step explanation:

Given,

Diameter of circle = 56 cm

Radius of circle = $\frac{Diameter}{2}$

Radius of circle = $\frac{56}{2}=28\ cm$

We know that;

Area of circle = $\pi r^2$

Area of circle = $\pi *(28)^2$

Area of circle = π * 784

Area of circle = 2463.00864041 cm²

Rounding off to four decimal places

Area of circle = 2463.0086 cm²

The area of circle is 2463.0086 cm².

Keywords: area, circle

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3 years ago

What is the image point of (5,0)(5,0) after a translation right 5 units and down 3 units?

vodomira [7]

Answer:

(10,-3)

Step-by-step explanation:

8 0

3 years ago

5. Abdi has 12 shirts, 8 pairs of jeans, and 5 pairs of shoes.

aev [14]

Answer:

Shirts = 12/25 = 48%

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Step-by-step explanation:

7 0

3 years ago

A cuboid with a volume of 924cm^3 has dimensions

Leona [35]

The values of x are -22 and 10

The dimensions are 4 cm , 11 cm , 21 cm

Step-by-step explanation:

The given is:

A cuboid with a volume of 924 cm³
It has dimensions 4 cm , (x + 1) cm and (x + 11) cm

We want to show that x² + 12x - 220 = 0, and solve the equation to find its dimensions

The volume of a cuboid is the product of its three dimensions

∵ The dimensions of the cuboid are 4 , (x + 1) , (x + 11)

∴ Its volume = 4(x + 1)(x + 11)

- Multiply the two brackets and then multiply the product by 4

∵ (x + 1)(x + 11) = (x)(x) +(x)(11) + (1)(x) + (1)(11)

∴ (x + 1)(x + 11) = x² + 11x + x + 11 ⇒ add like terms

∴ (x + 1)(x + 11) = x² + 12x + 11

∴ Its volume = 4(x² + 12x + 11)

∴ Its volume = 4x² + 48x + 44

∵ The volume of the cuboid = 924 cm³

- Equate the expression of the volume by 924

∴ 4x² + 48x + 44 = 924

- Subtract 924 from both sides

∴ 4x² + 48x - 880 = 0

- Simplify it by dividing all terms by 4

∴ x² + 12x - 220 = 0

Now let us factorize it into two factors

∵ x² = x × x

∵ 220 = 22 × 10

∵ 22(x) - 10(x) = 12x ⇒ the middle term

∴ x² + 12x - 220 = (x + 22)(x - 10)

∴ (x + 22)(x - 10) = 0

- Equate each factor by 0 to find x

∵ x + 22 = 0 ⇒ subtract 22 from both sides

∴ x = -22

∵ x - 10 = 0 ⇒ add 10 to both sides

∴ x = 10

∴ The values of x are -22 and 10

We can not use x = -22 because there is no negative dimensions, then we will use x = 10

∵ The dimensions are 4 , (x + 1) , (x + 11)

∵ x = 10

∴ The dimensions are 4 , (10 + 1) , (10 + 11)

∴ The dimensions are 4 cm , 11 cm , 21 cm

Learn more:

You can learn more about the factorization in brainly.com/question/7932185

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3 0

3 years ago