We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.
Volume of rectangular prism= 30 cm³
Formula for volume of rectangular prism:
V=whl
Scale factor of second prism= 3.5
Which is 3 and a half times greater than the 1st one.
So volume of 2nd prism = 3. 5 x 300
V= 1050 cm³
Answer: Volume of second Rectangular Prism is 1050 cm³
1/8
Explanation: There is 8 isle seats and it says what if one person would want to sit in ONE of the isle seats 1:person 8:seats
1/8
What is the slope? We need the slope to find y
Answer: 24
Step-by-step explanation:
Number of marbles in jar = 32
Let blue marbles be represented by b.
Since there are three times as many green marbles as blue. This means that green will be = 3 × b = 3b
We then add them together. This will be:
3b + b = 32
4b = 32
b = 32/4
b = 8
There are 8 blue marbles
Since green is 3× blue. Therefore,
Green = 8 × 3 = 24 marbles