Answer:
1/4,0.5, and 3/8 on edg
Step-by-step explanation:
Answer:
b) 516.2 cm³
Step-by-step explanation:
1) We can break the figure into two parts, a rectangular prism and a half cylinder.
2) The volume of the rectangular prism can be determined by multiplying 12 × 7 × 5, which is 420.
3) The equation for the volume of a cylinder is πr²h, but since this is half a cylinder, we will need to use the equation 1/2 × πr²h.
4) 1/2 × π × 3.5² × 5. The radius is 3.5, because the diameter is 7.
5) This should give us 30.625π.
6) Now we add 30.625π + 420, which is approximately 516.2.
Brady is expecting 325 points this season.
Let 4sinx + 3cosx = R sin(x + a) = Rsinxcosa + Rcosxsina
equating coefficients of sinx and cosx:-
RcosA = 4 ......(1)
RsinA = 3.......(2)
So
tan A = 3/4 and A = 36.87 degrees
Find R by squaring and adding (1) and (2)
25 = R^2
R = 5
so we have 5sin(x + 36.87) = 2
sin (x + 36.87) = 0.4
x + 36.87 = arcsin 0.4 = 23.58 degrees
x = - 13.29 degrees
answer is 346.7 degrees