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
Answer:
7.1 cm
Step-by-step explanation:
Let s represent the side length of the square. The Pythagorean theorem tells you the relationship to the diagonal length is ...
(10 cm)² = s² +s² . . . . the sum of the squares of the legs is the square of the hypotenuse
100 cm² = 2s² . . . . . . simplify
50 cm² = s² . . . . . . . . divide by 2
√(50) cm = s ≈ 7.1 cm . . . . . take the square root
The length of a side of the square to the nearest tenth is 7.1 cm.
Answer:


And tha's equivalent to use this formula:


Step-by-step explanation:
For this case the 95%of the values are between the following two values:
(75 , 163)
And for this case we know that the variable of interest X "length of a movie" follows a normal distribution:

We can estimate the true mean with the following formula:

Now we know that in the normal standard distribution we know that we have 95% of the values between 1.96 deviations from the mean. We can find the value of the deviation with this formula:


And tha's equivalent to use this formula:


Answer:6.774 gallons
Explanation: They drove 210 miles with 31 miles per gallon. So you divide 220/31=x
X=6.774 gallons