Lets call those two unknown numbers a, b and write the info in the problem as equations:
a*b = 30
a + b = 40
lets solve for a in the second equation and substitute in the first:
<span>a + b = 40
</span>a = 40 - b
therefore:
<span>a*b = 30
</span>(40 - b)b = 30
40b - b^2 = 30
b^2 - 40b + 30 = 0
if we apply the general quadratic equation to solve we have:
b = (40 +- √(1600 - 120))/2
b = (40 +- √(1480<span>))/2
</span>b = (40 +- 38.47)/2
There are two solutions:
<span>b1 = (40 + 38.47)/2
</span><span>b1 = 39.24
b2 = (40 - 38.47)/2
</span>b2 = 0.765
lets use the second solution <span>b2 = 0.765, and substitute in the first equation to find a:
</span><span>a*b = 30
</span>a*0.765 = 30
a = 30/0.765
a = 39.216
so the numbers are 39.216 and 0.765
So all the angles in total are going to be 180 degrees.
7+9+10 = 18 (parts at all)
180/18=10 (1 part of the ratio)
Than to find all of the angles we multiply 1 part by 7, 9 and 10 separately
10*7= 70 degrees (1st angle)
10*9=90 degrees (2nd angle)
10*10=100 degrees (3rd angle)
Answer: 70, 90, 100
Is it obvious the 10% of the book's price is the $5 right?
So the book's price is $50.
Answer:
339.3inches^3
Step-by-step explanation:
Volume of cylinder V = πr²h
The diameter is constant, so the radius is half of the diameter = 12/2 = 6 inches
It can be seen that the height has been divided into three in the ratio 3:2:1
The height of the strawberry section is 1/6 × 18 = 3 inches.
Now, we calculate the volume of the strawberry section as follows:
π = 3.142
r = 6 inches
h = 3 inches
V = 3.142 × (6)^2 × 3 = 339.336 inches^3
This converted to the nearest tenth is 339.3 inches^3
