<span>Since the fabric is 36 in. wide, every 36 linear inches (3 feet =1 yard) makes one square yard. The team needed 75 sq yds, thus 3 x 75 = linear feet</span>
Answer:
2 hours 1 minute 9.23 seconds
Step-by-step explanation:
Since they are traveling in opposite directions, their separation speed is the sum of the magnitudes of their speeds: 30 +22 = 52 mph.
The time is related to speed and distance by ...
time = distance / speed
= (105 mi)/(52 mi/h = 2 1/52 h ≈ 2 h 1 min 9.23 sec
It will take a little over 2 hours before they are 105 miles apart.
Answer: The total volume of the the cubes in the tower is 792 cubic centimetres (792 cm³)
Step-by-step explanation: We shall call the volume of the cube at the bottom VB, the volume of the cube at the middle VM, and the volume of the cube at the top VT. The tower is made up of cubes at different levels and at the bottom the cube measures 8 centimetres. The cube at the middle measures 2 cm less than the bottom cube, hence middle cube equals 8 minus 2 which equals 6 cm. The top cube measures 2 cm less than the middle cube, hence the top cube equals 6 minus 2 which equals 4 cm. The volume of each cube is given as;
Volume = L³
The length of a cube measures the same on all sides, that is, length, width and height. The length on all sides therefore of the bottom cube is 8 cm. The volume equals;
VB = 8³
VB = 512 cm³
The length on all sides of the middle cube is 6 cm (measures 2 cm shorter than the bottom cube). The volume of the middle cube equals;
VM = L³
VM = 6³
VM = 216 cm³
The length on all sides of the top cube is 4 cm (measures 2 cm shorter than the middle cube). The volume of the top cube equals;
VT = L³
VT = 4³
VT = 64
From the calculations shown, the total volume of the cubes in the tower is given as;
Total volume = VB + VM + VT
Total volume = 512 + 216 + 64
Total volume = 792 cm³
Total volume is 792 cubic centimetres.
<span>An
algebra test had two parts.
=> Part I had 40 problems
=> and part II had 60 problems.
Bernard got 80% of the problems on part I correct and 90% of the problems on
part II correct. What was the total number of problems that Bernard got correct
on the test.
Part 1
=> 40 problems and Bernard was able to answer correctly that 80% of it
=> 40 * .80 = 32 questions are correct
Part 2
=> 60 problems and Bernard was able to answer correctly the 90% of it.
=> 60 * .90 = 54 questions got correct answers.</span>
The two triangles have two pair of congruent angles, so they fulfill the Angle-Angle Postulate (AA Postulate)
Your answer is correct
