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kipiarov [429]
3 years ago
12

The sum of the three angles of a triangle is 180°. Two angles of a triangle measure 15 and 73. Of x is the third angle, set up a

nd solve an equation to find out what the measure of the third angle?
Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0

Answer:

The measure of the third angle is 92°

Step-by-step explanation:

We first have to make an equation that represents this equality. To do it we simply have to add the values ​​that give us with x and this will result in 180 °

15° + 73° + x = 180°

once we have the equation what we have to do is solve x, so we will pass all the terms that are adding to x by subtracting 180

x = 180° - 73° - 15°

now that we have cleared the x we ​​only have to perform the indicated operation and we will obtain the value of x

x = 92°

The measure of the third angle is 92°

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Convert 240 pounds per square inch into a unit rate of tons per square foot
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Answer:

240 x 144 inches= 34,560 pounds per square foot

34560/2000= 17.28 tons per square foit

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If f(x) = х2 – 2х + 3, thеn find<br> f(-3).
exis [7]

Answer:

\huge\boxed{\sf f(-3) = 18}

Step-by-step explanation:

\sf f(x) = x^2 - 2x + 3

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3 years ago
Please explain this problem!!!​
9966 [12]

tis a little of plain differentiation.

we know the radius of the cone is decreasing at 10 mtr/mins, or namely dr/dt = -10, decreasing, meaning is negative.

we know the volume is decreasing at a rate of 1346 mtr/mins or namely dV/dt = -1346, also negative.

so, when h = 9 and V = 307, what is dh/dt in essence.

we'll be needing the "r" value at that instant, so let's get it

V=\cfrac{1}{3}\pi r^2 h\implies 307=\cfrac{\pi }{3}r^2(9)\implies \sqrt{\cfrac{307}{3\pi }}=r

now let's get the derivative of the volume of the cone

V=\cfrac{1}{3}\pi r^2 h\implies \cfrac{dV}{dt}=\cfrac{\pi }{3}\stackrel{product~rule}{ \left[ \underset{chain~rule}{2r\cdot \cfrac{dr}{dt}}\cdot h+r^2\cdot \cfrac{dh}{dt} \right]} \\\\\\ -1346=\cfrac{\pi }{3}\left[2\sqrt{\cfrac{307}{3\pi }}(-10)(9)~~+ ~~ \cfrac{307}{3\pi } \cdot \cfrac{dh}{dt}\right]

-\cfrac{4038}{\pi }=-\cfrac{180\sqrt{307}}{\sqrt{3\pi }}+\cfrac{307}{3\pi } \cdot \cfrac{dh}{dt}\implies \left[ -\cfrac{4038}{\pi }+\cfrac{180\sqrt{307}}{\sqrt{3\pi }} \right]\cfrac{3\pi }{307}=\cfrac{dh}{dt} \\\\\\ -\cfrac{12114}{307}+\cfrac{180\sqrt{3\pi }}{\sqrt{307}}=\cfrac{dh}{dt}\implies -7.920939735970634 \approx \cfrac{dh}{dt}

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2 years ago
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Answer:

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Step-by-step explanation:


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Step-by-step explanation:

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