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3 years ago

Hellppp pleaseee Please be quick lol

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer:

20(pi)

Step-by-step explanation:

• equation for the circumference of a circle= 2(pi)r

• You are given the diameter ( 20ft) but you need the radius (r) for the equation.

• divide 20 by 2 to get the radius since it is half of the diameter.

• 20/2=10 so c= 2(pi)(10)

• 2(10)=20

• plug in pi and your final answer is 20(pi)

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Hans is sitting in a movie theater, 19 meters from the screen. The angle of elevation from his line of sight to the top of the s

IgorC [24]

Answer:

12.8 m

Step-by-step explanation:

From the diagram :

Height PR = 19m

Using Pythagoras :

From triangle PQR:

QR = x

Tan θ = opposite / Adjacent

Tan 22° = x / 19

x = tan 22° * 19

x = 0.4040262 * 19

x = 7.6764982 m

From triangle PRS:

SR = y

Tan θ = opposite / Adjacent

Tan 15° = y / 19

y = tan 15° * 19

y = 0.2679491 * 19

y = 5.0910346

Height of entire screen :

(7.6764982 + 5.0910346) m

= 12.7675328 m

= 12.8 m

3 0

3 years ago

Evaluate: (x^2-1)/(x-1) if x goes to 1?

egoroff_w [7]

Step-by-step explanation:

$\displaystyle \lim_{x \to 1} \dfrac{(x^2 - 1)}{(x-1)} = \lim_{x \to 1} \dfrac{(x - 1)(x+1)}{(x-1)}$

$\:\:\:\:\:\:\:\:\displaystyle = \lim_{x \to 1} (x+1) =2$

6 0

3 years ago

If the rate of the boat in still water is 27 mph, and the rate of the current of a river is x mph, what is the rate of the boat

BigorU [14]

Answer:

a)27-x

b)27+x

Step-by-step explanation:

when a boat travels in the same direction as the current is downstream-->speeds the boat. If the rate of the boat in still water is 27 mph and the rate of the current of a river is x mph, the rate of the boat when the boat is going downstream is 27+x

when a boat travels against the current is upstream-->slow down. If the rate of the boat in still water is 27 mph and the rate of the current of a river is x mph, the rate of the boat when the boat is going upstream is 27-x

6 0

3 years ago

Find the arc length for arcs of circles as follows:

Sauron [17]

Answer:

≈ 11.78 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

= 2πr × $\frac{\frac{\pi }{4} }{2\pi }$ ( cancel 2π on numerator/ denominator )