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ki77a [65]
3 years ago
14

As a prank, a friend decided to fill your car with balls from a ball pit. assuming the inside of your car is a rectangular prism

with the length of 10 feet, a width of 5 feet, and a height of 3 feet. how many balls, with a radius of 3 inches, can fit inside the car?
a. 13
b. 521
c. 1206
d. 2294
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

Answer:

D

Step-by-step explanation:

We need volume of rectangular prism and volume of sphere.

Volume of Rectangular Prism = length * width * height = 10 * 5 * 3 = 150 sq. ft.

3 inches is 3/12 = 0.25 ft

Volume of Sphere = \frac{4}{3} \pi r^3= \frac{4}{3} \pi (0.25)^3=0.065 sq. ft.

<em>How many of these can u fit in 150 sq. ft??</em>

<em />

<em>150/0.065 = 2307.69</em>

<em />

That's not one of the choices, but we can defnitely fit 2294 of the balls. So D is the correct answer.

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URGENT! need answers to this before 11 pm!
docker41 [41]

Answer:

In order:

1

-1

1

2

Step-by-step explanation:

Whatever number is in the interval, for instance, g(-4), is the x value on the graph. From then on, located the value on the graph and go either up or down (depending on the line) in order to get your answer.

6 0
4 years ago
The metric system has several advantages that include all of the following except _____.
4vir4ik [10]

Answer:

Only 10 base units to learn

Step-by-step explanation:

The metric system is a decimal based system developed to be universally acceptable by making use of base units from obtained from nature and the use of prefixes for multiples and submultiples of the base units, decimal ratios, which allows easy representation of quantities, as well as having a coherent structure of base and derived units which are obtained from the base units

During conversion in the metric system, which is decimal based, it is only required to move the decimal point

The prefixes which are used to specify multiples and submultiples are the same through out

The decimal system is based on the powers of ten

The number of base units to learn are 7 including; 1. Meter (m), 2. Kilogram (kg), 3. Second (s), 4. Ampere (A), 5. Kelvin (k), 6. Candela (cd), and 7. mole (mol)

Therefore the metric system has several advantages that include all of the following except; Only 10 base units to learn

4 0
3 years ago
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
melamori03 [73]

Answer:

6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base b and height h is given by A=\frac{1}{2}bh. Therefore, the area of this right triangle is:

A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}

The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

A=\sqrt{s(s-a)(s-b)(s-c)}, where a, b, and c are three sides of the triangle and s is the semi-perimeter (s=\frac{a+b+c}{2}).

The semi-perimeter, s, is:

s=\frac{5+5+4}{2}=\frac{14}{2}=7

Therefore, the area of the isosceles triangle is:

A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}

Thus, the area of the quadrilateral is:

6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}

4 0
3 years ago
What is the the volume of this?<br><br> Also you can explain just make the explanation short
fgiga [73]
15×20×10=3000
10×20×15=3000
3000+3000=6000 cm^{2}

6 0
3 years ago
A football is kicked into the air. The height of the football can be modeled by the equation
Alinara [238K]

Answer:

x = 0 and x = 1

Step-by-step explanation:

Given that,

A football is kicked into the air. The height of the football can be modeled by the equation :

h = -16x^2 + 16x

Where

h is the height reached by the ball after x seconds

When it touches the ground, h = 0

So,

-16x^2 + 16x=0\\\\16x(-x+1)=0\\\\x=0\ and\ x=1

So, it will touch the ground at x = 0 and x = 1 seconds.

6 0
3 years ago
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