Answer:
the height of the pyramid is 8 ft
Step-by-step explanation:
Considering the base of the pyramid to be square whose area is 144 sq ft
This means the side of the base would be √144 = 12 ft.
Now, if you will imagine a pyramid we can easily observe that
Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as
10^2 = H^2 +6^2
⇒ H^2 = 10^2-6^2 = 100-36 = 64
⇒ H = 8 ft
Therefore, the height of the pyramid is 8 ft
To Find :
How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze.
Solution :
Let, x gallons of 80% antifreeze solution is required :
So,

Therefore, 500 gallons of 80% antifreeze solution is required.
The area of the trapezoid is calculated through the equation,
A = 0.5(b₁ + b₂)h
where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given,
A = 0.5(9.6 + 25)(90) = 1557 mi²
Therefore, the approximate area of the country is 1557 mi².
Answer a,b, and d
Explanation: c is the only correct expression while the rest aren’t
Answer: The answer is 0.25 miles.
Step-by-step explanation: Given that my friend started walking at a speed of 3 miles per hour and I started 5 minutes after him at a speed of 4 miles per hour. We need to find the number of miles my friend travelled when I started walking.
Since I started 5 minutes after than my friend, so we are to find the distance travelled by my friend in 5 minutes.
In 1 hour, i.e., 60 minutes, distance travelled by my friend = 3 miles.
In 1 minute, distance travelled by my friend is

Therefore, distance travelled by my friend in 5 minutes will be

Thus, the answer is 0.25 miles.