Answer:
19.57
Step-by-step explanation:
100% of 19 is 19.
In order to find out what 1% of 19, move the decimal point two place to the left. 1% of 19= 0.19. To find 3% of 19, multiply .19 x 3. add 0.19 x 3 to 19, aka add 0.57 to 19 to get 19.57= 103% of 19
Given:
Area of a sector = 64 m²
The central angle is
.
To find:
The radius or the value of r.
Solution:
Area of a sector is:

Where, r is the radius of the circle and
is the central angle of the sector in radian.
Putting
, we get




Taking square root on both sides, we get


Therefore, the value of r is
m.
Answer:
Q1:14 Q2:8903.5
Step-by-step explanation:
I find that using equations to solve problems makes it a lot easier.
The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.
So we need to find a value of x that works for each company and a value of y that is the same for the cost.
Now we combine them.
Solve for x:
5743+225.75x=7500+100.25x
-5743 -5743
225.75x= 1757+100.25x
-100.25x -100.25x
125.50x=1757
/125.5 /125.5
x=14
Therefore, for Q1, the answer is 14.
Now we solve for y by substituting x for 14.
5743+225.75(14)
5743+3160.5
8903.5
We can also check this with the other equation
7500+100.25(14)
7500+1403.5
8903.5
So therefore, the answer to Q2 would be 8903.5.
Step-by-step explanation:
x³.y =(5)³.(10)
=1250
Answer:

Step-by-step explanation:
given,
radius of sphere = 3
volume of cone:

r is the radius of circular base
h is the height of the cone
here r = x and h = 3 + y
now, volume in term of x and y

Applying Pythagoras theorem
x² + y² = 3²



differentiating both side

for maxima 

y² + 2 y - 3 = 0
(y+3)(y-1)=0
y = 1,-3
y cannot be negative so, volume at y = 1


Hence, the largest cone which can be inscribed in the spheres of the radius 3 has volume 