A factory makes 640brushes in 4 hours.Does the equation y=150x model the number of brushes made each hour?

Mathematics

1 answer:

adelina 88 [10]3 years ago

7 0

Answer:

No it doesn't

Step-by-step explanation:

The equation we have is

Y = 150x

We have x = 4 hours

This is a simple question. We have to plug in the x = 4 in the equation to find out if we would have 640 brushes. If y = 640, then it models it. But if y is not equal to 640, it doesn't.

So let's solve this to see for ourselves.

Y = 150(x)

We put the value of x

Y = 150(4)

Y = 600

So we can see that the equation does not model the number of brushes made each hour. This equation models 600 brushes and not 640.

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Triangle J K L is shown. Angle J L K is 105 degrees. The length of J K is 4.7 and the length of J L is 2.7.

cluponka [151]

Answer:

The approximate measure of angle K is 34°

Step-by-step explanation:

In ΔJKL

∠L = 105°

JK = 4.7

JL = 2.7

Sine Rule:

$\frac{SinA}{a} = \frac{SinB}{b}= \frac{SinC}{c}$

So, $\frac{SinL}{JK} = \frac{SinK}{JL}\\\frac{SinL}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105 \times 2.7}{4.7} = SinK\\\frac{(0.9659 \times 2.7)}{4.7} = Sin K\\\frac{2.60793}{4.7} = Sin K\\0.5549 = Sin K\\Sin^{-1}(0.5549)= K\\K = 33.70$