Answer:
c
Step-by-step explanation:
V of cone=(1/3)(pi)(h)(r^2)
V of cylinder=(pi)(h)(r^2)
1.
r=6
h=10
v=(1/3)(pi)(10)(6^2)
v=1/3pi10(36)
v=1/3pi360
v=120pi
answer is B
2.
r=d/2
d=10
10/2=5=r
V=(3.14)(5)(5^2)
V=3.14(125)
V=392.5
answer is B
3. 9.2, 3.7
V=(pi)(9.2)(3.7^2)
V=(pi)(9.2)(13.69)
V=(pi)(125.948)
input 125.948
4. v=(1/3)(pi)(12)(3^2)
V=(1/3)(pi)(12)(9)
V=(pi)(12)(3)
V=pi(36
v=36pi
v=36(3.14)
V=113.04
input 113.04
ANSERS
1.B
2.B
3. 129.948
4. 113.04
There are infinitely many lines that have the point (1,-3).
A line can be expressed as:
y=mx+b, where m=slope and b=y-intercept..
Our only restriction is that it passes through (1,-3) so
-3=1m+b
So as long as the sum of the slope and the y-intercept is equal to -3, that is one of the infinite number of lines that passes through (1, -3)
So we could also say b=-3-m then our infinite lines are:
y=mx-3-m, now any real value of m creates a specific line that passes through the point. ie the first few are
y=x-4, y=2x-5, y=3x-6 or even y=x√2-3-√2
Answer:
<u>The price of oranges is US$ 2 per pound and the price of bananas is US$ 1 per pound.</u>
Step-by-step explanation:
1. Bananas and oranges bought by Nancy:
Oranges = 7 pounds
Bananas = 3 pounds
Cost = US$ 17
2. Bananas and oranges bought by Nancy's husband:
Oranges = 3 pounds or 3x
Bananas = 6 pounds or 6y
Cost = US$ 12
3x + 6y = 12 (Dividing by 3 at both sides of the equation)
x + 2y = 4
x = 4 - 2y
3. Total Purchases:
Oranges = 10 pounds or 10x
Bananas = 9 pounds or 9y
Cost = US$ 29
10x + 9y = 29
10 (4 - 2y) + 9y = 29 (Replacing x with 4 - 2y from 2nd purchase)
40 - 20y +9y = 29
-11y = 29 - 40
- 11y = - 11
y = 1 (Dividing by -11 at both sides)
<u>Pound of bananas = US$ 1</u>
10x + 9 (1) = 29 (Replacing y by 1 in the original formula)
10x + 9 = 29
10x = 20
x = 2 (Dividing by 10 at both sides)
<u>Pound of oranges = US$ 2</u>
