Answer:
about 5.22hrs
Step-by-step explanation:
cross multiply
<u>120.45</u> <u>?</u>
15.67 40.15
120.45*40.15
=629.1505
629.1505/15.67
=5.2233333...
Answer:
hope this helps you out ask me if you need more help
Answer:
96 ft²
Step-by-step explanation:
The general formula for the surface area of a pyramid is:
SA =
pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base
Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.
Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid. Using 3 feet for 'a' and 4 feet for 'b':
3² + 4² = c² or 9 + 16 = 25
25 = c² or c = 5
SA =
(24)(5) + 36
SA = 60 + 36 = 96 ft²
The figure consists of a triangle and two rectangles.
-----------------------------
Top Triangle:
-----------------------------
Height = 22 - 10 - 7 = 5cm
Base = 20 - 5 - 5 - 10cm
Area of triangle = 1/2 x 5 x 10 = 25 cm²
-----------------------------
Middle Rectangle:
-----------------------------
Length = 10cm
Width = 7cm
Area = 10 x 7 = 70 cm²
-----------------------------
Bottom Rectangle:
-----------------------------
Length = 20 cm
Width = 10 cm
Area = 20 x 10 = 200 cm²
-----------------------------
Total Area:
-----------------------------
Area = 25 + 70 + 200 = 295 cm²
-----------------------------
Answer: Area = 295 cm²
-----------------------------
Answer:
Step-by-step explanation:
Total = 50
Males = 20
Females = 30
a) P(exactly 1 female) = P(1 female , 2 male)
(30C1 * 20C2) / (50C3) = 30*190/19,600 = 0.2908
b) P(at least 2 males) = 1 - (P(0 males) + P(1 males))
= 1 - 30C3 * 20C0/50C3 - 30C2 * 20C1/50C3
= 1 - 4060*1/19,600 - 435*20/19,600 = 6840/19600 = 0.3489