Answer:
2.5, 21/8, ³√25, π, √19
Step-by-step explanation:
The following data were obtained from the question:
³√25, π, 21/8, 2.5, √19
Next, we shall express each data as a decimal number where necessary. This can be obtained as follow:
³√25 = 2.9
π = 3.14
21/8 = 2.6
2.5 = 2.5
√19 = 4.4
Finally, we shall order the expression from least to greatest. This is illustrated below:
2.5, 21/8, ³√25, π, √19
We know that
[surface area]=2*[area of the base]+[perimeter of the base]*height
area of the base=15*13----> 195 in²
perimeter of the base=2*[15+13]----> 56 in
height=7 in
so
[surface area]=2*[195]+[56]*7-----> 782 in²
the answer is
782 in²
Answer:
Step-by-step explanation:
..
Answer:
-0.6 cm/min
Step-by-step explanation:
The formula for the area of a triangle is ...
A = (1/2)bh
Solving for the base, we find ...
b = 2A/h
Then the rate of change of the base is ...
b' = 2(A'h -Ah')/h^2
Filling in the given values, we find the rate of change of the base to be ...
b' = 2((2 cm^2/min)(20 cm) -(160 cm^2)(1 cm/min))/(20 cm)^2
= 2(40-160)/400 cm/min
= -0.6 cm/min
The base is decreasing at 0.6 cm/minute.
Distribute.
5x+10 = 3x+24
Subtract 3x from both sides
2x+10=24
Subtract 10 from both sides
2x=14
Divide by 2
x=7