Answer:
397.7 m²
Step-by-step Explanation:
Step 1: find m < W
W = 180 - (33+113) (sum of ∆)
W = 34°
Step 2: find side UV using the law of sines


Multiply both sides by sin(34)


(approximated)
Step 3: find the area using the formula, ½*UV*VW*sin(V)
area = ½*29.8*29*sin(113)
Area = 397.7 m² (rounded to the nearest tenth.
Answer:
40/3; 13.3333333333333
Step-by-step explanation:
The volume of the cone is:
(1/3)(pi)(r^2)(h) =
(1/3)(pi)(10^2)(10) =
1000pi/3
The volume of the cylinder is:
(pi)(r^2)(h) =
(pi)(5^2)(h) =
25pi(h) = 1000pi/3 -->
pi(h) = 40pi/3 -->
h = 40/3
To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.
SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.
To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.
To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.
Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.
Using the graph, we can see the equation for this line is
y=1/2x+1.5.
Answer:
4 1/2
Step-by-step explanation:
Apply the fractions formula for division, to
3/4÷1/6
and solve
3/6x4/1
=18/4
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(18,4) = 2
18/24÷2/2=9/2
Convert to a mixed number using
long division for 9 ÷ 2 = 4R1, so
9/2=4 1/2
Therefore:
3/4÷1/6=4 1/2