Answer:
Step-by-step explanation:
28. Area of the circle = π
where r is the radius of the circle.
Given diameter = 14m, therefore radius = 
= 7m
Now area of the circle = 49
or = 49 * 3.14 * 3.14 = 483.12
29. Volume of cylinder = πh = π*
* 3 = 6.75π cu. feet or 21.195 cu. feet
30. A ball resembles a sphere. Volume of the sphere = 
Given diameter = 30inches; Therefore, radius = 15 inches
Now, Volume of the ball = 
= 4500π cu. inches or 14310 cu.inches
Answer: The probability that the fruit is an orange or a pear is 
.
Step-by-step explanation:
Given : Emily has 12 fruits in her bowl.
She has 3 apples, 5 bananas, 1 pear and 3 oranges.
A fruit is selected at random.
P(orange) = 
P(pear)= 
Since both events of selecting orange and pear are mutually exclusive , so
The probability that the fruit is an orange or a pear = P(orange) + P(pear)
Therefore , the probability that the fruit is an orange or a pear is .
Answer:
<em>Answer: C.Fraction 11 and 1 over 4 cubic inches</em>
Step-by-step explanation:
The volume of a rectangular prism of length L, width W, and height H is given by:
V=LWH
The prism is packed with cubes of a side length of a=1/2 inch. The volume of each cube is:
The prism is packed with L=5, W=3, and H=6, thus the volume (in cubes) is:
V=5*3*6=90\ cubes
Since each cube has a volume of 
:
Expressing as a mixed fraction:
Answer: C.Fraction 11 and 1 over 4 cubic inches
If this is a parabolic motion equation, then it is a negative parabola, which looks like a hill (instead of a positive parabola that opens like a cup). Your equation would be h(t)= -16t^2 + 20t +3. That's the equation for an initial velocity of 20 ft/s thrown from an initial height of 3 ft. And the -16t^2 is the antiderivative of the gravitational pull. Anyway, if you're looking for the maximum height and you don't know calculus, then you have to complete the square to get this into vertex form. The vertex will be the highest point on the graph, which is consequently also the max height of the ball. When you do this, you get a vertex of (5/8, 9.25). The 9.25 is the max height of the ball.
Answer:
Option A - Neither. Lines intersect but are not perpendicular. One Solution.
Option B - Lines are equivalent. Infinitely many solutions
Option C - Lines are perpendicular. Only one solution
Option D - Lines are parallel. No solution
Step-by-step explanation:
The slope equation is known as;
y = mx + c
Where m is slope and c is intercept.
Now, two lines are parallel if their slopes are equal.
Looking at the options;
Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.
Thus,the lines are parrallel, no solution.
Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.
Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.
Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.
Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.
Option B falls into this category.
