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3 years ago

Which description is correct for the polynomial 5x³?

2 answers:

8 0

D.) <span>cubic monomial is the best description of that polynomial as there is only one term with cube as it's exponent

Hope this helps!</span>

NikAS [45]3 years ago

5 0

Answer: The answer is (D) cubic monomial.

Step-by-step explanation: The given polynomial is $5x^3.$

We are to select the correct description of the above polynomial from the given options.

Since there is only one term in the polynomial, so it is a monomial.

Also, the power of the unknown variable is 3, so the degree of the polynomial is 3 and so it is a cubic polynomial.

Therefore, the given polynomial is a cubic monomial.

Thus, (D) is the correct option.

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3 years ago

A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The

Vladimir [108]

Using the Sine rule,

$\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}$ $\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}$

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

$A^0+P^0+B^0=180^0$ $\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}$

Using the side rule to find the length of wire BP,

$\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}$

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

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1 year ago

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Answer:

420cm^3 (cubed) = volume when tripled

Step-by-step explanation:

1. when you multiply 7*4*5=140 (volume of the prism originally)

2. 140*3=420 (final answer)

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2 years ago

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