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user100 [1]
3 years ago
10

Why is 24 a more convenient choice than 23 or 25

Mathematics
1 answer:
asambeis [7]3 years ago
6 0
Because it is easily divisible by 2, 3, 4, 6, 8, 12 and itself 
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A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324324324 meters tall) and threatening to destroy
DedPeter [7]

Answer:

A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 54 meters across the Eiffel square, aiming his laser gun at the alien. At what angle, in degrees, should the agent shoot his laser gun? Round your final answer to the nearest tenth

The agent shoot his laser gun at 80.5 degree.

Step-by-step explanation:

Given:

Height at which the horrible alien is standing = 324 m

Distance from the (tower) where the agent is = 54 m

According to the question:

Men In Black agent is aiming his laser gun to shoot the horrible alien.

Let the angle at which the agent shoot his gun be " Ф "

As from the situated depicted we can draw a right angled triangle.

Using trigonometric ratios:

tan (Ф) = opposite/ adjacent

In triangle OPQ .

The adjacent side = 54 m

The opposite side = 324 m

⇒ Plugging the values.

⇒ tan(\phi) = \frac{opposite}{hypotenuse}

⇒  tan(\phi) = \frac{324}{54}

⇒ (\phi) = tan^-^1(\frac{324}{54})

⇒ \phi=80.53

Nearest tenth it is 80.5 degrees.

So,

Men In Black must shoot the laser gun at an angle of 80.5 degrees.

7 0
3 years ago
Write 0.397 as a fraction in simplest form.
e-lub [12.9K]

Answer:

397/1000

Step-by-step explanation:

Mark ‼️ it brainliest if it helps you ❤️

7 0
2 years ago
Estes Park Corp. pays a constant $6.95 dividend on its stock. The company will maintain this dividend for the next 12 years and
Brrunno [24]
The present value of an annuity of n periodic payments of P at r% where payment is made annually is given by:

PV=P \left[\frac{1-(1+r)^{-n}}{r} \right]

Given that <span>Estes Park Corp. pays a constant dividend of P = $6.95 on its stock. The company will maintain this dividend for the next n = 12 years and will then cease paying dividends forever. If the required return on this stock is r = 10 % = 0.1.

Thus, the current share price is given by:

Current \ share \ price=6.95 \left[\frac{1-(1+0.1)^{-12}}{0.1} \right] \\  \\ =6.95\left[\frac{1-(1.1)^{-12}}{0.1} \right] =6.95\left(\frac{1-0.3186}{0.1} \right)=6.95\left(\frac{0.6814}{0.1} \right) \\  \\ =6.95(6.813)=\bold{\$47.36}

Therefore, the current share price is $47.36
</span>
5 0
3 years ago
If you know the area of a circular field is 6358.5 m2, what is the radius of the field?
diamong [38]

Answer:

r = 45 m.

Step-by-step explanation:

pi r^2 = 6358.5

r^2 = 6358.5 / pi

r = √(6358.5 / pi)

= 44.989 m

5 0
3 years ago
Which choice shows the following fractions with a common denominator? 3/4 and 5/6​
Roman55 [17]

Answer:

9/12 and 10/12

Step-by-step explanation:

The LCD is the smallest number divisible by both 4 and 6, and that is 12.

Thus, 3/4 and 5/6 are equivalent to 9/12 and 10/12 .

Next time, kindly share the answer choices.  Thank you.

4 0
3 years ago
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