approximatly 223.25 cubic inches
Volume of a sphere = (4/3)*pi*r squared
(4/3)*(3.142)*(53.29)
223.25 cubic inches
Angle B = 56.309932474020215
This is through using a trigonometry calculator I forgot how to set it up tbh.
Hope this helps ;)
For extra info Angle C = 33.690067525979785.
They add up to 90 which added with the right angle of 90 means the interior angles add to 180 meaning it is in fact correct because a triangle is always 180 inside.
Answer:
x=6
Step-by-step explanation:
22x-2=20x+10
22x-20x=10+2
2x=12
x=6
Answer:
Option C is correct i.e. 2.
Step-by-step explanation:
Given the function is f(x) = x² +8x -2.
We can compare it with general quadratic expression i.e. ax² +bx +c.
Then a = 1, b = 8, c = -2.
We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-
D = b² -4ac
D = 8² -4*1*-2
D = 64 +8
D = 72.
When D is a positive value, then we have two real roots of the equation.
Hence, option C is correct i.e. 2.
Answer:
The price of pretzels in 1975 = $1.80
Step-by-step explanation:
To answer this question we are assuming the steady rate means linear.Let x be the year and y be the price.
We need to find the slope
m = (y2-y1)/(x2-x1)
= (4.80-4.05)/(2015-2005)
=.75/10
= .075
The slope is .075
We can use the point slope form of the equation
y-y1 = m(x-x1)
y-4.80 = .075(x-2015)
Distribute
y - 4.80 = .075x -151.125
Add 4.80 to each side
y - 4.80+4.80 = .075x -151.125+4.80
y = .075 x - 146.325
We want to find out how much pretzels were in 1975. Put in x=1975
y = .075(1975) -146.325
y = 148.125-146.325
y=1.80
