Answer:
2√46 + 25π/4 ≈ 33.2 . . . . m²
Step-by-step explanation:
The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...
h = √((5√2)² - 2²) = √46
Then the area of the triangle shown is ...
A = (1/2)bh = (1/2)(4)(√46)
A = 2√46
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The area of the semicircle is given by the formula ...
A = (1/2)πr²
Filling in the radius shown, the area is computed as ...
A = (1/2)π(5√2/2)² = 25π/4
So, the total area of the figure is ...
total area = triangle area + semicircle area
= 2√46 + 25π/4 . . . square meters
≈ 33.2 . . . square meters
Answer:
The expected payout of the game is $230.46.
Step-by-step explanation:
The given table is
Payout Amount : $160 $4400 $145000
Probability : 0.146 0.024 0.0007
We need to find the expected payout of the game.
The formula for expected payout is
where, n is amount and P(x) is probability of that event. The value of n is negative for loss.
Using the above formula we get
Therefore the expected payout of the game is $230.46.
Answer: x > 64 and x < 68 is another way of rewriting inequality.
Step-by-step explanation:
To qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.
⇒The inequality 64 < x < 68, where x represents height,gives the range of height.
⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.
[with the use of or it will appear to give priority by actor to follow any 1 conditon]
L = 50 yards or 150 feet W = 20 yards or 60 feet H = 9 feet V = 150 * 60 * 9 V = 81000 cubic feet then multiply the volume, 81000, by 7.5, or 607,500 gallons.
hope i helped
Answer:
(-5,9+√8)
Step-by-step explanation:
There are two ways in which you can find a point that lies in the circle. One of them is to do y the subject of the formula, and another one is to determine the center of the circumference, and with the information of the radius, you can sum this value upward or downward.
the general equation of a circle is:
with center at (h,k)
you have the following equation:
Then, the center is (-5,9)
if you sum the value of the radius in one of the fourth directions (up, down, left, right), for example upward you have
Then, one point that lies in the circle is (-5,9+√8)
