Answer:
155.45 cm
Step-by-step explanation:
Given: Length of side x (opposite)= 89.75 cm
Angle is 30°
Lets use tangent rule to find the value of y (adjacent).
∴
Using trigonometry table
⇒
Now, cross multiplying both side
⇒ y=
∴ 155.45 cm is the length of side y.
Answer:
A. 1,177.58 cm³
Step-by-step explanation:
Volume of hemisphere = ⅔πr³
Radius (r) = 16.51 ÷ 2 = 8.255
π = 3.14
Plug in the values
Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³
= 1,177.57783 ≈ 1,177.58 cm³
Answer:
27.92 degrees
Step-by-step explanation:
Use tan^-1 (265/500) to find the angle
Answer:
19
Step-by-step explanation:
y=2×8+3
=16+3=19
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First lets calculate the total volume of the rectangular prism:
volume = length*width*height
v = (3/4)(1/2)(1/2) = (3*1*1)/(4*2*2) = 3/16
so the total volume of the prism is 3/16 cubic inches, now we need to know how many cubic blocks of 1/8 inch side length fill the 3/16 volume, that is solved by finding a number that multiplied by the volume of a cubic block of side 1/8 gives us 3/16, lets call the number x and write the respective equation:
the volume of the cubic block is (1/8)(1/8)(1/8) = 1/(8*8*8) = 1/512, therefore:
(1/512)x = 3/16
solving for x:
x = (3/16)*512 = 3*512/16
x = 96
so you need 96 cubic blocks of 1/8 inch sides to fill the stated prism