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ycow [4]
3 years ago
15

In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14

inches. Which equation can you use to solve for the total amount of plywood you will need?​
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0

Answer:

  • 210 in²

Step-by-step explanation:

<u>Use the formula for area:</u>

  • A = 1/2bh

<u>Each triangle will have the area of:</u>

  • A = 1/2*6*14 = 42 in²

<u>Total amount of plywood will be:</u>

  • 42*5 = 210 in²
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Simplify (-3c^-3w^5)^3<br> A -9w^8<br> B. -27cw^8<br> C. w^15/27c^9<br> D.-27w^15/c^9
kenny6666 [7]

Answer:

\large\boxed{D.\ \dfrac{-27w^{15}}{c^9}}

Step-by-step explanation:

(-3c^{-3}w^5)^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\=(-3)^3(c^{-3})^3(w^5)^3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=-27c^{-3\cdot3}w^{5\cdot3}=-27c^{-9}w^{15}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=-27\left(\dfrac{1}{c^9}\right)w^{15}=\dfrac{-27w^{15}}{c^9}

4 0
3 years ago
What are the zeros of the function defined by 2x + 11x- 6?
asambeis [7]
Note --> As you're writing 'zeroes' , I assume there is a typing mistake and you've given a Quadratic equation in the question

f(x) = 2 {x}^{2} + 11x - 6 \\ \\ f(x) = (2x - 1)(x + 6) = 0

Hence , the roots are 1/2 and -6
The graph attached confirms the same ,

Hope it helps you :)

6 0
3 years ago
What is 10x5÷2 equal
Viefleur [7K]

10 \times 5 = 50
50 \div 2 = 25
25
5 0
3 years ago
Read 2 more answers
10. A donut shop serves plain and chocolate
alexira [117]

Answer:

75

Step-by-step explanation

5+3=8

120/8=15

15(5)=75

7 0
2 years ago
Find the x-values at which f is not continuous.<br>f(x) = tan(πx/2)
disa [49]

Answer:

x\neq 1+2n,n\in\mathbb{Z}

Step-by-step explanation:

Remember that for the tangent parent function, it has infinite discontinuities (vertical asymptotes) on:

f(x)=\tan(x), \\\text{Where }x\neq\frac{\pi}{2}+n\pi, n\in\mathbb{Z}

Here, we have:

f(x)=\tan(\frac{\pi x}{2})

So, we can set the expression inside the tangent to equal our parent domain restriction. This yields:

\frac{\pi x}{2}\neq\frac{\pi}{2}+n\pi

Solve for x. Multiply both sides by 2:

\pi x\neq \pi+2n\pi

Divide both sides by π:

x\neq 1+2n, n\in\mathbb{Z}

Therefore, for the function f(x)=\tan(\frac{\pi x}{2}), it is not continuous for all Xs 1+2n where n\in\mathbb{Z}

5 0
3 years ago
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