11/4 the recipe calls for a total of 11/4 cups of milk
Answer: 110 square cm
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Explanation:
All sides of a regular polygon are the same length. So the bottom side is also 8 cm.
Draw lines from the center to each vertex of the pentagon. Five triangles form. Each triangle has a base of 8 and a height of 5.5 (since all five triangles are congruent)
area of one triangle = 0.5*base*height = 0.5*8*5.5 = 22
area of five triangles = 5*(area of one triangle) = 5*22 = 110
radius of bottle is 7 cm. height is 28 cm
so total milk in bottle is equal to total volum of bottle.
so volume of cylinder is = pi × r^2 × h
V = (22/7 )× 7×7×28 = 22×7×28
= 4312 cm^3
so volume of the milk before used to make tea is 4312 cm^3
now milk taken to make tea make height reduced to 20 cm.
so volume of the left milk in bottole is
= (22/7) × 7×7×20 = 22×7×20
= 3080 cm^3
so milk used for making tea = total milk before making the tea - total milk left in bottle after making the tea
= 4312 - 3080 = 1232 cm ^3
so volume of milk used
Answer:
Step-by-step explanation:
In the equation, 72t represents the initial upwards velocity and 5 represents the initial launching height. The leading term represents the pull of gravity on the object in the English system of measurement.
So the first question says the initial height is 5 feet. TRUE
The second question says the initial vertical velocity is -72. FALSE (it's positive 72 ft/sec)
The third question says that the object will hit the ground after approximately 4.57 seconds. TRUE. Find this by setting the h(t) on the left equal to 0, since this is the height at any time during the flight. When h(t) = 0, that means that there is NO height, which means the object is on the ground. Set the equation equal to 0 and factor to find t. Putting that into the quadratic formula gives you t values of -.068 and 4.57. Since the 2 things in math that will NEVER EVER be negative are distances and time, we can safely disregard the negative t value and go with t = 4.57.
The fourth question says that after t = 3 seconds, the object is 173 feet high. FALSE. Find this by subbing in a 3 for every t in the equation.

This gives you that h(3) = 77 feet
The last question says that at t = 0, h(t) = 0. FALSE again. Sub in a 0 for every t in the equation, and you get h(0) = 5, which is the initial launching height.