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Elena-2011 [213]
3 years ago
15

a contractor digs a hole that is 40 ft long and 10.5 feet deep. what is the width of the hole if 6,510 cubic feet of dirt is rem

oved?​
Mathematics
1 answer:
ehidna [41]3 years ago
8 0

Jtdutcyiftutfutffgucug

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Select the two values of x that are roots of this equation
Jet001 [13]
<h2>Hello!</h2>

The answers are:

B.   \frac{-3-\sqrt{29}}{2}

C.   \frac{-3+\sqrt{29}}{2}

<h2>Why?</h2>

We can use the quadratic equation to find the two values of x that are roots of the given equation. We must remember that most of the quadratic equations have two roots, however, we could find quadratic equations with just one root or even with no roots, at least in the real numbers.

Quadratic equation:

\frac{-b+-\sqrt{b^{2}-4ac} }{2a}

So,

From the given equation we have:

a=1\\b=3\\c=-5

Substituting it into the quadratic equation to find the roots, we have:

\frac{-b+-\sqrt{b^{2}-4ac} }{2a}=\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}\\\\\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}=\frac{-3+-\sqrt{9+20} }{2}\\\\\frac{-3+-\sqrt{29}}{2}

So,

x_{1}=\frac{-3-\sqrt{29}}{2}\\\\x_{2}=\frac{-3+\sqrt{29}}{2}

Hence, the correct options are B and C.

7 0
3 years ago
Simplify the complex fraction. 2 1/2 / 5/8
lbvjy [14]
First do 2 1/2  /  5/8
 5/2/ 5/8=2/5 * 5/8=1/4
now you can do anything with 1/4 so
your answer is 1/4
5 0
3 years ago
Read 2 more answers
What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)?
Travka [436]
Distribute 1/2 to <span>(n – 4):

</span>\frac{1}{2} \times n = \frac{1}{2}n
\frac{1}{2} \times -4 = -2
<span>
Subtract (2n + 3):

</span>- (2n + 3) = -2n -3
<span>
Your equation should now look like this:

</span>\frac{1}{2}n - 2 - 3 = 3 - 2n - 3
<span>
Combine like terms on both sides:

</span>-2 - 3 = -5
3 - 3 = 0
\frac{1}{2}n - 5 = -2n
<span>
Subtract 1/2n from both sides:

</span>-5 = -\frac{5}{2}n
<span>
Divide both sides by -5/2 to get n by itself:

</span>n = 2
<span>
The value of n is 2.</span>
8 0
2 years ago
Read 2 more answers
A storage tank holds 235,500 in^3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical container
ololo11 [35]
Volume of a cylinder is given by V = πr^2h

Since the content of the storage tank completely filled the 25 identical cylinders, this means that the volume of the 25 cylinders combined is equal to the volume of the storage tank.

25(πr^2h) = 235,500
πr^2h = 235,500/25 = 9,420
h = 9,420/(3.14 x 5^2) = 9,420/78.5 = 120.

Therefore, the height of the cylinderical containers is 120 in
8 0
2 years ago
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What is the value of p? p+2−4=14
zubka84 [21]
The answer is 16 because 16+2=18-4=14
4 0
3 years ago
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