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3 years ago

Find the value of x and y in the triangles below

Mathematics

1 answer:

guapka [62]3 years ago

4 0

Answer:

x=9 y=24

Step-by-step explanation:

take the triangle with 43 Degrees and 90 degrees to get the answer for that missing angle.

which equals 133

subtract 133 from 180 and get 47

then set 5x+2 = 47 because opposite angles are equal to each other

-2 on both sides

5x=45

divide by 5

x=9

then take 3y+1=?

add 47 + 60 =107

180-107=73

3y+1=73

-1 both sides

divide by 3

y=24

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Round your answer to the nearest hundreth

Juliette [100K]

Answer:

Step-by-step explanation:

Area of a circle is found by using the equation:

$A = \pi r^{2}$

Radius = 1/2 (diameter) = 1/2 (16) = 8

So plug in:

$A = \pi (8)^{2}$

A = 64 $\pi$

A = 201.06193

Rounded A= 201. 06

5 0

2 years ago

Add or Subtract to Simplify:<br> (5x + x2 - 4) - (4x - x2 + 6)

vlabodo [156]

Answer:

2x to the second power +x−10

Step-by-step explanation:

Let's simplify step-by-step.

5x+x2−4−(4x−x2+6)

Distribute the Negative Sign:

=5x+x2−4+−1(4x−x2+6)

=5x+x2+−4+−1(4x)+−1(−x2)+(−1)(6)

=5x+x2+−4+−4x+x2+−6

Combine Like Terms:

=5x+x2+−4+−4x+x2+−6

=(x2+x2)+(5x+−4x)+(−4+−6)

=2x2+x+−10

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3 years ago

For a Cosine function with amplitude =0.75 and period =10 , what is y(4) ?

frez [133]

We need to find a cosine function:

$y(x)=acos(bx) \\ \\ where: \\ \\ \left|a\right|=Amplitude \\ \\ Period=\frac{2\pi}{b}$

The amplitude represents half the distance between the maximum and minimum values of the function and the period goes from the x-value of one peak to the x-value of the next one. Therefore:

$a=0.75 \\ \\ b=\frac{2\pi}{10}=\frac{\pi}{5}$

Finally:

$\boxed{y(x)=0.75cos(\frac{\pi}{5}x)}$

And y(4) is:

$y(4)=0.75cos(\frac{\pi}{5}\times 4) \\ \\ \therefore \boxed{y(4)=-0.60}$

4 0

3 years ago

Read 2 more answers

Use the distributive property to rewrite this expression, then simplify the new expression, if possible.

PilotLPTM [1.2K]

Answer:

-3y-6

Step-by-step explanation:

$-3(y+2)=-3y-6$

8 0

2 years ago

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statuscvo [17]

Answer:

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Step-by-step explanation:

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2 years ago