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4 years ago

Parallel and perpendicular lines

Mathematics

1 answer:

Wittaler [7]4 years ago

8 0

To determine if the lines are parallel or perpendicular, you must find the slope (m).

Parallel lines have the same slope.

Perpendicular lines have slopes that are opposite reciprocals.

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The sphere is _____ cubic centimeters bigger than the cube. (Round to the nearest cubic centimeter.)

Misha Larkins [42]

ANSWER

The sphere is 10762 cubic centimeters bigger than the cube.

EXPLANATION

We want to find the difference in the volumes of the sphere and the cube.

To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.

The volume of a sphere is given as:

$V=\frac{4}{3}\pi r^3$

where r = radius

The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:

$\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot15^3 \\ V\approx14137\operatorname{cm}^3 \end{gathered}$

The volume of a cube is given as:

$V=s^3$

where s = length of the side

The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:

$\begin{gathered} V=15^3 \\ V=3375\operatorname{cm}^3 \end{gathered}$

Therefore, the difference in the volumes of the sphere and cube is:

$\begin{gathered} V_d=V_s-V_c \\ V_d=14137-3375 \\ V_d=10762\operatorname{cm}^3 \end{gathered}$

Therefore, the sphere is 10762 cubic centimeters bigger than the cube.

6 0

1 year ago

[WILL GIVE BRAINLIEST]

kirill115 [55]

Your answer is simple times 6 to 3 to get 18 then 15 by 8 to get 96 then add up everything to get 114

6 0

4 years ago

Rama09 [41]

Answer:

(-1,4)

Step-by-step explanation:

mp=xi+xii/2,yi+yii/2

7+-9/2=-1

0+8/2=4

=(-1,4)

5 0

3 years ago

The admission fee at a carnival is $5 for children and $8 for adults on Friday, 1250 people attended the carnival and $7300 was

ASHA 777 [7]

Answer:

-> a + c = 1250 ____________ (1)

-> 8a + 5c = 7300 __________(2)

There were 900 children and 350 adults.

Step-by-step explanation:

Let the number of children at the carnival be c.

Let the number of adults at the carnival be a.

The admission fee at a carnival is $5 for children and $8 for adults on Friday.

1250 people attended the carnival and $7300 was collected. This means two things:

-> a + c = 1250 ____________ (1)

-> 8a + 5c = 7300 __________(2)

We now have a system of equations representing the problem.

To solve, make a subject of formula in (1):

a = 1250 - c _______(3)

Put (3) in (2):

8(1250 - c) + 5c = 7300

10000 - 8c + 5c = 7300

10000 - 7300 = 3c

3c = 2700

c = 2700 / 3 = 900

Put the value of c back in (3):

a = 1250 - 900 = 350

Therefore, there were 900 children and 350 adults at the carnival.

4 0

3 years ago

The volume of the rectangular prism is _____ cubic units

Ipatiy [6.2K]

Answer:

V=L*W*H

V=12*4*3

V=144

144 is your answer :)

Step-by-step explanation:

hope this helps

8 0

3 years ago