3 years ago

* Question Completion Status:

1 answer:

8 0

I’m going to assume the numbers are the other angles so..
Answer: 40 degrees

Why? Every triangles interior angles add up to be 180 so
180-122-18= 40

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Four hundred meters of fencing is provided to fence three sides of a rectangular pasture. One side is bounded by an existing wal

Sidana [21]

150x100= 15,000 square meters
150x2= 300
100 + 300 = 400 meters of fencing

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3 years ago

Solve using perfect square factoring patterns. y2 + 16y + 64 = 0 {8} {0, –1} {–8} {8, –8}

lubasha [3.4K]

Answer:

y^2 + 16y + 64 = 0

(y + 8)(y+8) = 0

y + 8 = 0

y = -8

y + 8 = 0

y = -8

Step-by-step explanation:

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3 years ago

Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of

wolverine [178]

Answer:

72z+176

Step-by-step explanation:

36z+28+8z+40+12z+60+48+16z=

36z+8z+12z+16z+28+40+60+48=

72z+176

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2 years ago

Find the absolute extreme of the function on the closed interval. y=9e^xsinx , [0,pi]

Molodets [167]

For convenience sake, I will let $y=f(x)=9e^{x}\sin x$

First, we evaluate the function at the endpoints of the interval.

$f(0)=9e^{0}\sin(0)=0\\\\f(\pi)=9e^{\pi}\sin(\pi)=0$

Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

$f'(x)=9e^{x} \frac{d}{dx} \sin x+9\sin x \frac{d}{dx} e^{x}=9e^{x}(\cos x+\sin x)$

Setting this equal to 0,

$9e^x (\cos x+\sin x)=0$

Since $9e^x > 0$ , we can divide both sides by $9e^x$ .

$\cos x+\sin x=0\\\\\sin x=-\cos x\\\\\tan x=-1\\\\x=\frac{3\pi}{4}$

$f\left(\frac{3\pi}{4} \right)=9e^{3\pi/4}\sin \left(\frac{3\pi}{4} \right)=\frac{9\sqrt{2}e^{3\pi/4}}{2}$

So, the absolute minimum is $\boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)}$ and the absolute minima are $\boxed{(0,0), (\pi, 0)}$

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2 years ago

Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.

snow_lady [41]

Answer:

Step-by-step explanation: this is because you have a negative

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3 years ago