Ask question

Ask question

All categories

3 years ago

7

SERIOUSLY NEED HELP WITH THIS QUESTION.

2 answers:

scoray [572]3 years ago

7 0

Answer:

The correct option is 2.

Step-by-step explanation:

It is given that the volume of cube is 1,000 cubic feet.

The volume of cube is

$V=a^3$

$1000=a^3$

$a=10$

The side length of cube is 10 feet.

It is given that the other solid has the same base and height as the cube, but the length of each of its slanted sides is 2 units longer than the height.

The area of tilted solid is

$V=\text{Area of base}\times \text{height}$

Since height and base are same, so the area of tilted solid is

$V=(10 \times 10)\times 10=1000$

The volume of the tilted solid is 1,000 cubic feet. Therefore the correct option is 2.

Ann [662]3 years ago

3 0

The answer is 1000 cubic feet either. The reason for that is fallowing:
Imagine you cut cube 2 peaces so that your cut is normal to bases and it passes throught both bases. If you take those 2 pieces and switch their position and stick one to another you will get non tilted original cube.

what you can conclude from this is that tilting doesnt influence volume if bases and height remain the same.

You might be interested in

Un rectangulo de madera se uso para en marcar un espejo en forma de rombo.Si los lados del marco miden 80.5 cm y 36.4, y las dia

QveST [7]

Answer:

1465.1 cm²

Step-by-step explanation:

El espejo en forma de diamante tiene la forma de rombo

Tenga en cuenta que: las diagonales del rombo tienen las mismas medidas de esos lados

Por lo tanto, el área del espejo se calcula como:

1/2 × Diagonal 1 × Diagonal 2

Diagonal 1 = 80.5 cm

Diagonal 2 = 36.4 cm

= 1/2 × 80.5 cm × 36.4 cm

= 2930.2 cm² / 2

= 1465.1 cm²

Por tanto, el área del espejo es 1465.1 cm².

8 0

2 years ago

Please help Factor completely. Show your work (as much work as possible, including a list of factors if

Elena-2011 [213]

Answer:

Step-by-step explanation:

4) x² - 14x + 48

We would find two numbers such that their sum or difference is -14x and their product is 48x².

The two numbers are - 6x and - 8x. Therefore,

x² - 6x - 8x + 48

x(x - 6) - 8(x - 6)

(x - 8)(x - 6)

5) 2x² + 21x - 11

We would find two numbers such that their sum or difference is 21x and their product is - 22x².

The two numbers are 22x and - x. Therefore,

2x² + 22x - x - 11

2x(x + 11) - 1(x + 11)

(2x - 1)(x + 11)

6) 5a² - 125

5 is a common factor. So we would factorize 5. It becomes

5(a² - 25)

Simplifying further, it becomes

5(a + 5)(a - 5)

5 0

3 years ago

A. What is the vertex of the equation y = (x - 4)??

Contact [7]

Good morning,

Answer:

(4 , 0)

Step-by-step explanation:

THe vertex of y = (x - 4)² is (4,0).

Look at the photo below for the graph.

:)

8 0

3 years ago

Paisley drove to his new college and then came back home. His round trip was 212 miles. Paisley drives a Honda and gets 35 miles

san4es73 [151]

Answer:

because of this the awnser

7 0

3 years ago

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20

densk [106]

Answer:

$P_{20} = 20$ --- 20th percentile

$P_{25} = 21.75$ --- 25th percentile

$P_{65} = 27.85$ --- 65th percentile

$P_{75} = 29.5$ --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

$P_{20} = 20 * \frac{N +1}{100}$

$P_{20} = 20 * \frac{8 +1}{100}$

$P_{20} = 20 * \frac{9}{100}$

$P_{20} = \frac{20 * 9}{100}$

$P_{20} = \frac{180}{100}$

$P_{20} = 1.8th\ item$

This is then calculated as:

$P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)$

$P_{20} = 16 + 0.8*(21 - 16)$

$P_{20} = 16 + 0.8*5$

$P_{20} = 16 + 4$

$P_{20} = 20$

Solving (b): The 25th percentile

This is calculated as:

$P_{25} = 25 * \frac{N +1}{100}$

$P_{25} = 25 * \frac{8 +1}{100}$

$P_{25} = 25 * \frac{9}{100}$

$P_{25} = \frac{25 * 9}{100}$

$P_{25} = \frac{225}{100}$

$P_{25} = 2.25\ th$

This is then calculated as:

$P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)$

$P_{25} = 21 + 0.25(24-21)$

$P_{25} = 21 + 0.25(3)$

$P_{25} = 21 + 0.75$

$P_{25} = 21.75$

Solving (c): The 65th percentile

This is calculated as:

$P_{65} = 65 * \frac{N +1}{100}$

$P_{65} = 65 * \frac{8 +1}{100}$

$P_{65} = 65 * \frac{9}{100}$

$P_{65} = \frac{65 * 9}{100}$

$P_{65} = \frac{585}{100}$

$P_{65} = 5.85\th$

This is then calculated as:

$P_{65} = 5th + 0.85(6th - 5th)$

$P_{65} = 27 + 0.85(28 - 27)$

$P_{65} = 27 + 0.85(1)$

$P_{65} = 27 + 0.85$

$P_{65} = 27.85$

Solving (d): The 75th percentile

This is calculated as:

$P_{75} = 75 * \frac{N +1}{100}$

$P_{75} = 75 * \frac{8 +1}{100}$

$P_{75} = 75 * \frac{9}{100}$

$P_{75} = \frac{75 * 9}{100}$

$P_{75} = \frac{675}{100}$

$P_{75} = 6.75th$

This is then calculated as:

$P_{75} = 6th + 0.75(7th - 6th)$

$P_{75} = 28 + 0.75(30- 28)$

$P_{75} = 28 + 0.75(2)$

$P_{75} = 28 + 1.5$

$P_{75} = 29.5$

7 0

3 years ago