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3 years ago

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John is digging a rectangular hole. The area of the rectangle is 8 square feet. John digs 4 feet down into the ground. What's th

e volume of John's hole in cubic feet?

1 answer:

andreev551 [17]3 years ago

3 0

Answer:

32

Step-by-step explanation:

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Try to prove the hypothesis from part B that the sum of a rational and an irrational number is an irrational number.

Maurinko [17]

The next step of your proof is to subtract (a/b) from both sides.

Then you get, x = (m/n) - (a/b)

Since rationals are closed over addition, (m/n) + (-a/b) is a rational number.

Therefore, x (an irrational number) = a rational number <em>This is a false statement which is a contradiction. So, the assumption was incorrect.</em>

Thus, the sum of a rational and irrational number is an irrational number. QED

8 0

3 years ago

Ill give you braindeath if you get this right

victus00 [196]

Answer:

The larger angle is 144 degrees and the smaller angle is 36 degrees

Step-by-step explanation:

Because this is a supplementary angle you have to find out what x is to solve this equation $2.4x+9.6x=180$

Because 2.4x and 9.6x are like terms we add them $2.4x+9.6x=12x$

So now to find x we divide 180 by 12 to get 15 $\frac{12x}{12} =\frac{180}{12}$

We replace the x with 15 $2.4(15)+9.6(15)=36+144$

We add 36 and 144 which equals 180

5 0

2 years ago

Read 2 more answers

Simplify 2 x - 8 x - 6 y + 9 -14 + x + 11 y.

Lunna [17]

<span>=<span><span><span><span><span><span><span>2x</span>+<span>−<span>8x</span></span></span>+<span>−<span>6y</span></span></span>+9</span>+<span>−14</span></span>+x</span>+<span>11y

</span></span></span><span>=<span><span><span>(<span><span><span>2x</span>+<span>−<span>8x</span></span></span>+x</span>)</span>+<span>(<span><span>−<span>6y</span></span>+<span>11y</span></span>)</span></span>+<span>(<span>9+<span>−14</span></span><span>)

= -5x+5y+-5

= -5x+5y-5

Answer is = -5x+5y-5

</span></span></span></span>

8 0

3 years ago

Read 2 more answers

Find the mode of the set of data 59,61,54,51,38 46,56,52,63,40,44

Katen [24]

The answer would be no mode because it doesn't have any repeating numbers.

7 0

3 years ago

Read 2 more answers

Choose an American household at random, and let the random variable X be the number of cars (including SUVs and light trucks) th

PilotLPTM [1.2K]

Answer:

19% of households have more cars than the garage can hold

Step-by-step explanation:

We are given the following distribution for the number of cars owned by a family.

Number of cars X: 0 1 2 3 4 5 6

Probability: 0.07 0.31 0.43 0.12 0.04 0.02 0.01

We have to find the percentage of households have more cars than the garage can hold.

A garage can hold two cars. Thus, the household with more than two cars are the households that have more cars than the garage can hold.

The given distribution is a discrete probability distribution.

Thus, we evaluate:

$P(x\geq 3) = P(x+3) + P(x+4) + P(x+5) + P(x+6)\\P(x\geq 3) = 0.12 +0.04+ 0.02 +0.01 = 0.19\\P(x\geq 3) = 19\%$

Thus, 19% of households have more cars than the garage can hold.

4 0

3 years ago