Answer:
6/25
Step-by-step explanation:
P(gray) = 2/5
P(blue) = 3/5
P(1st gray & 2nd blue) = (2/5)*(3/5) = 6/25
As the question already indicated the sequence, so no combination (nCr) should be considered.
So if the lawn sprinkler rotates in a circular motion, then what you're left with is a circle with a radius of 5 feet. You can then just use the formula Area = π × radius^2 to do π × 5^2 = 25π = 78.5 feet^2. I hope this helps!
Answer:
Base=8 feet
Height=17 feet
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Using quadratic formula
x= -b +or- √b^2 - 4ac / 2a
= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)
= 7 +or- √49 - (-1632) / 6
= 7 +or- √49+1632) / 6
= 7 +or- √1681 / 6
=7 +or- 41 /6
x= 7+41 / 6 or 7-41 / 6
=48/6 or -34/6
=8 or -17/3
Answer:
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Base of the boat can't be a negative value
Therefore,
Base = x = 8 feet
Height= 3x-7
=3(8)-7
=24-7
=17 feet
Answer:
Quadrant ll
Step-by-step explanation:
H(x) = x - 5
However, it had a domain of all real numbers such that x does not equal 3, since that would cause you to divide by 0.