Answer:
540 ft^2.
Step-by-step explanation:
The area of the trapezoid = h/2 (10 + 18) = 14h.
By Pythagoras the height h = √(5^2 - 4^2) = 3.
So the area of the 2 trapezoidal bases = 2 * 14*3
= 84 ft^2.
Now we calculate the area of the four lateral rectangular sides:
= 10*12 + 18*12 + 2*5*12
= 456 ft^2.
Total area = 456 + 54
= 540 ft^2.
<span>here is what i get :
x/3+11-(1/15)=0 </span>
Answer:
As a fraction, the answer is exactly 86/969
In decimal form, the answer is approximately 0.08875
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Work Shown:
The assumption is that no replacements are made for each selection.
5 red, 6 blue, 8 green
5+6+8 = 19 total
A = P(3 red) = (5/19)*(4/18)*(3/17) = 10/969
B = P(3 blue) = (6/19)*(5/18)*(4/17) = 20/969
C = P(3 green) = (8/19)*(7/18)*(6/17) = 56/969
D = P(3 all same color)
D = A+B+C
D = 10/969 + 20/969 + 56/969
D = (10+20+56)/969
D = 86/969
D = 0.08875
Answer:
Step-by-step explanation: The answer is 5/11.
Answer: D. 44
Step-by-step explanation:
Here, we need to know the concept of trigonometry.
- Sine (sin) = Opposite/Hypotenuse = O/H
- Cosine (cos) = Adjacent/Hypotenuse = A/H
- Tangent (tan) = Oppostie/Adjacent = O/A
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Given
- The adjacent side of angle x and the hypotenuse.
- We are going to use Cosine.
<u>Solve</u>
cos (x) = 15/21
x = cos⁻¹ (15/21)
x ≈ 44
Hope this helps!! :)
Please let me know if you have any questions