A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation formed by the string and the ground is 40°. Find the length of the string to the nearest foot.

Answers

Answer 1

Answer: If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.

The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).

Therefore;

$tan(40)=70/x$
$0.83909963117=70/x$
$0.83909963117x=70$
$x=70/0.83909963117$
$x=83.4227514823$

Where x is the length of the string in feet.

Answer 2

Answer:

Answer:

D) 109

Step-by-step explanation:

took the test

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Find the equation of the line that passes through (-2,3) and (4,-1).the formula I believe is y-y1 = y2-y1/x2-x1 (x-x1)
I'm not quite sure as to how to set that up. do I solve as I go?

Answers

$Genera\ equation\ for\ line\n\ny=ax+b\n\nTo\ find\ a\ and\ b\ substitude\ points\ (-2,3),\ (4,-1)\ into\ equation\n\n \left \{ {{3=-2a+b}\ \ \ \ \atop {-1=4a+b\ |*-1}} \right.\n\n \left \{ {{3=-2a+b}\ \ \ \ \atop {1=-4a-b\}} \right.\n+----\n\nAddition\ method\n\n4=-6a\ \ |:-6\n\na=-(4)/(6)=-(2)/(3)\n\nb=3+2a=3+2* (-(2)/(3))=3-(4)/(3)=1(2)/(3)\n\ny=-(2)/(3)x+1(2)/(3)$

Match the measurable quantity given by its formula with the appropriate unit(s)

Answers

Perimeter matches with meters

Speed match with meters per second

Volume match with cubic centimeters

Area match with square meters

Final answer:

The units for density, speed, and acceleration in physics are explained with their respective formulas.

Explanation:

The formula for density is mass divided by volume. The unit for mass is grams (g) and the unit for volume is cubic centimeters (cm³). Therefore, the unit for density is grams per cubic centimeter (g/cm³). The formula for speed is distance divided by time. The unit for distance is meters (m) and the unit for time is seconds (s). Therefore, the unit for speed is meters per second (m/s).

The formula for acceleration is change in velocity divided by time. The unit for velocity is meters per second (m/s) and the unit for time is seconds (s). Therefore, the unit for acceleration is meters per second squared (m/s²).

Learn more about Units of Measurement here:

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Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 6x + 9 = 0

Answers

x² - 6x + 9 = 0

a = 1, b = -6, c = 9

Discriminant = b² - 4ac = (-6)² - 4*1*9 = 36 - 36 = 0

Since the Disciminant, D = 0, the roots are real and equal

Brownies are now on sale. Each brownie costs $0.20 less than the original price. Right now, if you buy 8 of them it will cost $15.20

Answers

Answer: The original price of brownie was $2.1 each.

Step-by-step explanation:

since we have given that

Let the original price will be x

Number of brownie purchased = 8

According to question , each brownie costs $0.20 less than the original price.

So, it becomes

$8* (x-0.20)=\$15.20\n\n8x-1.6=15.20\n\n8x=15.20+1.60\n\n8x=16.8\n\nx=(16.8)/(8)\n\nx=\$2.1$

Hence, the original price of brownie was $2.1 each.

HELP PLEASEEEE!!The math team decided to sell customized pocket protectors as a
fundraiser. These were truly a hot item in our school, and $240 was
raised. Cecily had originally suggested a price that was $2 lower
for each item, but if the team had agreed to that price they would have
had to sell 20 more pocket protectors to get the $240.
How many pocket protectors did they actually sell? What was the price of
each?

Answers

Answer:

Step-by-step explanation:

6×40⇒240

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Write the equation of the given circle. center (-2, -2) radius of 6

Answers

$\bf \textit{equation of a circle}\n\n(x- h)^2+(y- k)^2= r^2\qquadcenter~~(\stackrel{-2}{ h},\stackrel{-2}{ k})\qquad \qquadradius=\stackrel{6}{ r}\n\n[-0.35em]~\dotfill\n\n\[x-(-2)]^2+[y-(-2)]^2=6^2\implies (x+2)^2+(y+2)^2=36$

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