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3 years ago

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A puzzle contains a triangular piece with a base of 3 in. and a height of 4 in. a manufacturer want to make 80 puzzles. find the

amount of wood used if each puzzle contains 20 triangular pieces.

1 answer:

larisa86 [58]3 years ago

8 0

The answer is 9,600 in²

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A line is drawn so that it passes through the points (-3, -1) and (4, 2).

marishachu [46]

Answer:

(A) $\boxed{\bold{y=\frac{3}{7}x+\frac{2}{7}}}$

(B) $\boxed{\bold{2 \ = \ \frac{3}{7} * \ 4 \ + \ \frac{2}{7} }}$

Explanation:

(A) Slope: y = mx + b

m = 3/7

b = 2/7

Slope = $\bold{\frac{y_2-y_1}{x_2-x_1}}$

$\bold{\left(x_1,\:y_1\right)=\left(-3,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:2\right)}$

M = $\bold{\frac{2-\left(-1\right)}{4-\left(-3\right)}: \ \frac{3}{7} }$

Y intercept

$\bold{y=\frac{3}{7}x+b}$

Plug in $\bold{\left(-3,\:-1\right)\mathrm{:\:}\quad \:x=-3,\:y=-1}$

$\bold{-1=\frac{3}{7}\left(-3\right)+b}$

Isolate B

$\bold{-1=\frac{3}{7}\left(-3\right)+b}$

b = $\bold{\frac{2}{7} }$

(B) 4 = x, 2 = y

2 = 3/7 * 4 + 2/7

5 0

3 years ago

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Evaluate the expression when a= 4 and b= -7. <br> -9a+b

Helen [10]

Answer:

-43

Step-by-step explanation:

So first things first you will multiply -9 by 4 and that gives you -36, Next you will add -7 to -36 which gives you -43.

$-9(4)+(-7)\\-36+(-7) \\= -43$

Hope this helps :D

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3 years ago

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A figure in the second quadrant is reflected over the y-axis. In which quadrant will the reflected figure appear?

ANTONII [103]

The reflected figure will appear in quadrant 3, C.

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Which of the following must be true to prove triangle ABC = ~ triangle DEF by the AAS theorem? I need help to understand this, c

Snezhnost [94]

I think its a! If i am correct

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3 years ago

Covert each into algebraic equations

marshall27 [118]

Answer:

1) 2x=4x-8

2) 4(x+2)=20

3) 2x-9=4(x+5)

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3 years ago