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3 years ago

Two angles are supplementary. One angle is 5degrees° more than six times the other. Find the measure of each angle.

Mathematics

1 answer:

kolbaska11 [484]3 years ago

6 0

Well do you know what a supplementary angles is ?
it is two angles that add up to 180 degrees

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1 year ago

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3 years ago

A rectangle has one side of 8 cm. How fast is the diagonal of the rectangle changing at the instant when the other side is 6 cm

lisov135 [29]

<h2>The diagonal is increasing at 1.8 cm/minute.</h2>

Step-by-step explanation:

Let l be one side,w be other side and s be diagonal.

We have

s² = l² + w²

We have

l = 8 cm

w = 6 cm

s² = l² + w²

s² = 8² + 6²

s² = 100

s = 10 cm

Taking derivative with respect to time in s² = l² + w²

$s^2=l^2+w^2\\\\2s\frac{ds}{dt}=2l\frac{dl}{dt}+2w\frac{dw}{dt}\\\\s\frac{ds}{dt}=l\frac{dl}{dt}+w\frac{dw}{dt}\\\\\frac{dw}{dt}=3cm/min\\\\\frac{dl}{dt}=0cm/min\\\\10\frac{ds}{dt}=8\times 0+6\times 3\\\\\frac{ds}{dt}=1.8cm/min$

The diagonal is increasing at 1.8 cm/minute.

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3 years ago

The function f(t) = 4t^2 − 8t + 6 shows the height from the ground f(t), in meters, of a roller coaster car at different times t

andreev551 [17]

Answer:

C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground.

Step-by-step explanation:

Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.") Here (h, k) is the vertex and a is a scale factor.

Let's begin by factoring 4 out of all three terms:

f(t) = 4 [ t^2 - 2t + 6/4 ]

Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.

(To be continued)

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3 years ago

What is 5.082 * 45 decomposed

swat32

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