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3 years ago

Two of the angles in a triangle measure 50° and 25°. What must be the measure of the third angle?

Mathematics

1 answer:

lilavasa [31]3 years ago

6 0

Answer:

105 degrees

Step-by-step explanation: 50 + 25 = 75. a triangle must have 180 degrees to be an actual triangle, take 180-75 and you get 105 degrees.

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The word percent means something out of 100

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4 years ago

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Please help!! x = 2 - 3 cos t, y = 1 + 4 sin t in rectangular form? thank you! :)

sukhopar [10]

Answer:

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

Step-by-step explanation:

$x=2-3\cos(t)$

$y=1+4\sin(t)$

Let's solve for $\cos(t)$ in the first equation and then solve for $\sin(t)$ in the second equation.

I will then use the following identity to get right of the parameter, $t$ :

$\cos^2(t)+\sin^2(t)=1$ (Pythagorean Identity).

Let's begin with $x=2-3\cos(t)$ .

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$x-2=-3\cos(t)$

Divide both sides by -3:

$\frac{x-2}{-3}=\cos(t)$

Now time for the second equation, $y=1+4\sin(t)$ .

Subtract 1 on both sides:

$y-1=4\sin(t)$

Divide both sides by 4:

$\frac{y-1}{4}=\sin(t)$

Now let's plug it into our Pythagorean Identity:

$\cos^2(t)+\sin^2(t)=1$

$\frac{x-2}{-3})^2+(\frac{y-1}{4})^2=1$

$\frac{(x-2)^2}{(-3)^2}+\frac{(y-1)^2}{4^2}=1$

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3 years ago

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27. The diameter of a music CD is 12 centimeters. Find the circumference

atroni [7]

Diameter is 2 times the radius. Radius is 6.
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Circumference is approximately 37.7cm

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3 years ago

Any and all help would be appreciated!

SpyIntel [72]

The way we can find out the unit rate (also known as the SLOPE) is by using the table as coordinates!

The slope formula is $\frac{y2 - y1}{x2 -x1}$

With the table, the TIME column can be "x"

The DISTANCE column can be "y"

____________________________

As coordinates, it would look like...

(0,0)

(20, 25)

(30, 37.5) and so on!

_____________________________

All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!

Example:

solve!

$\frac{37.5 - 25}{30 - 20}$ = 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)

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3 years ago