Answer:
1111
Step-by-step explanation:
Length of the block of marble in question is (l) = 8 feet
Width of the block of marble in question is (w) = 2 feet
Height of the block of marble in question is (h) = 78 inches
We already know that
1 inch = 0.08 foot
So
Height of the block of marble in question (h) = 78 * 0.08 foot
= 6.24 feet
Then
Volume of the marble block = i * w * h
= 8 * 2 * 6.24 cubic feet
= 99.84 cubic feet
From the above dduction we can conclude that the volume of the marble block in the shape of a rectangular prism is 99.84 cubic feet.
Check the picture below
notice, that running a line from the center, you end up with an angle bisector to a vertex of the triangle, now, this is a "regular polygon", so, all sides are equal, for a triangle, when all sides are equal, all angles are also equal, and since the sum of all internal angles in a triangle must add up to 180°, then that means, each angle is 60°
now, you run an angle bisector through it, you end up with a 30°, 30° split, and that gives you a 30-60-90 triangle
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
Answer:
c = 0.75j
Step-by-step explanation:
divide $4.50 by 6 to find the price of one bottle of pineapple juice
4.50/6 = 0.75
each bottle of pineapple juice is 75 cents each
c = 0.75j