The equation would be 3(x + 5)
The answer to the first part is D
Answer:
The answer is -343.
Step-by-step explanation:
If a term doesn't have an exponent, it's considered that the exponent is 1 (so basically, (-7)² x (-7)^1.
Multiply the terms with the same base (by adding the exponents - (-7)²+1<- (as the exponential value) (couldn't find the sign so sorry.)
Add the numbers: (-7)³
A negative base raised to an odd power equals a negative: -7³
Write the problem out: -(7 x 7 x 7).
Multiply: -343
Let x = amount of time the Arlen family must catch up to
overtake the Harris family
In principle, the Harris and the Arlen family should cover
the same distance. Since distance is speed x time,
45 (6+y) = 58y
270 + 45y = 58y
58y - 45y = 270
y = 270 ÷ 13
y= 20.77min
Answer:
A). Surface area = 222 cm²
Volume = 180 cm³
B). Surface area = 375 cm²
Volume = 360 cm³
C). % increase in surface area = 67.57%
% increase in volume = 100%
Step-by-step explanation:
In the figure attached base of a prism has been given.
A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off
= 8×5×5 - 2×2×5
= 200 - 20
= 180 cm³
B). Surface area of the prism if it's height is 10 cm,
Surface area = 30×10 + 2×(36) = 372 cm²
Volume of the prism = 8×5×10 - 2×2×10
= 400 - 40
= 360 cm³
C). Increase in surface area = 372 - 222 = 150 cm²
% increase in the surface area =
= 67.57%
Increase in volume = 360 - 180 = 180 cm³
% increase in volume =
= 100%