For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of
1 answer:
Answer:
volume = 195.52 in³
Step-by-step explanation:
given data
slant height of the cake = 10 inches
base length = 8 inches
solution
we know that volume pyramid is express as
volume = ..............1
here
we use pythagoras for height
hypotenuse² = side1² + side2²
put here value with other side is half of a square side
10² = h² + 4²
solve it we get
h = 9.165 in
so put here value in equation 1 we get
volume =
volume = 195.52 in³
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Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
2,075,673,600 batting orders may occur.
Step-by-step explanation:
The order of the first eight batters in the batting order is important. For example, if we exchange Jonathan Schoop with Adam Jones in the lineup, that is a different lineup. So we use the permutations formula to solve this problem.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
First 8 batters
8 players from a set of 16. So
Last batter:
Any of the four pitchers.
How many different batting orders may occur?
4*518918400 = 2,075,673,600
2,075,673,600 batting orders may occur.
Answer:
<h2>84, 42</h2>Step-by-step explanation: