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Eva8 [605]
3 years ago
7

Help Me Please!!!!1

Mathematics
1 answer:
Lena [83]3 years ago
7 0

Answer:

The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.

Step-by-step explanation:

Here we have the volume of the cube box given by the following relation;

Volume of cube = Length. L × Breadth, B × Height, h

However, in a cube  Length. L =  Breadth, B = Height, h

Therefore, volume of cube = L×L×L = 13³ = 2197 in³

Volume of the basketball is given by the volume of a sphere as follows;

Volume = \frac{4}{3} \pi r^3

Where:

r = Radius = Diameter/2 = 14/2 = 7in

∴ Volume of the basketball = \frac{4}{3} \times  \pi \times 7^3 = 1436.76 \ in^3

Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;

The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.

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LiRa [457]

Answer:

3.5^{2} = 3.5 * 3.5 = 12

square means: multiply the number <u>by itself</u> two times. so 3.5 * 3.5

cube (3.5^{3}) means: multiply the number by itself three times. so 3.5 * 3.5 * 3.5

i hope u understand :)

3 0
2 years ago
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r
crimeas [40]

Option C: (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Explanation:

The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).

Also, given that the triangle is translated 4 units down and 3 units left.

We need to determine the coordinates of the vertex C after translation.

The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.

Thus, it can be written as y-4

Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.

Thus, it can be written as x-3

Thus, the translation is given by

(x, y) \rightarrow(x-3, y-4)

The vertices of C after translation can be determined by

(8, 3) \rightarrow(8-3, 3-4)\implies (5,-1)

Thus, (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Hence, Option C is the correct answer.

3 0
3 years ago
Read 2 more answers
Short Response To earn a varsity letter on the baseball team, you must play in 60% of the games. Derek played in 11 out of 18 ba
Alla [95]

Answer:

Yes, he earned a Varsity letter because he played in 61% of the games.

Step-by-step explanation:

To know the percent of games he played out of the total, we can do it by dividing the games he played by the total of games and multiply this by 100% to get the percent of games he played:

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We solve:

0.611111*100% = 61.11%

So we know that he earned a letter because he played in 61.11% of the games, more than he needed.

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4^(x-1)+4^(x)+4^(x-1)=84
creativ13 [48]

Answer:

7.66

Step-by-step explanation:

Just open the parenthesis.

4x-4+4x+4x-4=84

Now simplify and solve

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3 0
3 years ago
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