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VMariaS [17]
3 years ago
13

Write the number name for 485,002,000

Mathematics
1 answer:
ikadub [295]3 years ago
6 0
Four hundred and eighty five million, two thousand.
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Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2
8090 [49]

Answer:

tanΘ = - \frac{12}{5}

Step-by-step explanation:

Using the trigonometric identities

• sin²x + cos²x = 1, hence

cosx = ± √(1 - sin²x )

• tanx = \frac{sinx}{cosx}

given sinΘ = \frac{12}{13}, then

cosΘ = ±  \sqrt{1-(12/13)^2}

Since Θ is in the second quadrant where cosΘ < 0, then

cosΘ = - \sqrt{1-\frac{144}{169} }

         = - \sqrt{\frac{25}{169} } = - \frac{5}{13}

tanΘ = \frac{\frac{12}{13} }{\frac{-5}{13} }

        = \frac{12}{13} × - \frac{13}{5} = - \frac{12}{5}



5 0
3 years ago
Y= -x +3 and y = x - 1
inysia [295]

Answer:

x=2 and y=1

Step-by-step explanation:

Rewrite equations:

y=−x+3;y=x−1

Step: Solve

y=−x+3

Step: Substitute−x+3foryiny=x−1:

y=x−1

−x+3=x−1

−x+3+−x=x−1+−x(Add -x to both sides)

−2x+3=−1

−2x+3+−3=−1+−3(Add -3 to both sides)

−2x=−4−2x−2=−4−2

(Divide both sides by -2)

x=2

Step: Substitute2forxiny=−x+3:

y=−x+3

y=−2+3

y=1(Simplify both sides of the equation)

Hope this Helps you :)

3 0
3 years ago
Solve the equation for v<br> <img src="https://tex.z-dn.net/?f=y%3D%5Cfrac%7B8%7D%7Bav%7D%20%2B7" id="TexFormula1" title="y=\fra
My name is Ann [436]

Answer:

v = \dfrac{8}{a(y - 7)}

Step-by-step explanation:

y = \dfrac{8}{av} + 7

Subtract 7 from both sides.

y - 7 = \dfrac{8}{av}

Multiply both sides by v.

v(y - 7) = \dfrac{8}{a}

Multiply both sides by 1/(y - 7).

v = \dfrac{8}{a(y - 7)}

3 0
3 years ago
An airplane travels at 280 miles per hour. how far in miles will the airplane travel in 20 minutes?
Romashka-Z-Leto [24]

Answer:

93.33 miles

Step-by-step explanation:

60 min/ 20 min = 3

280/3 = 93.333333

8 0
3 years ago
Read 2 more answers
A cab company charges a flat amount of $5 plus $1.10 per mile traveled. If at the end of a cab ride a customer owes the driver $
Luda [366]

I believe that the number of miles traveled would be 8. This is because you would subtract $5.00 from the $13.80 and then divided by $1.10.


8 0
3 years ago
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