Jack found the volume if prism pictured to the right by multiplying 5 x 8 and than adding 40 + 40 + 40= 120. He says the volume
is in cubic inches.
Jill says he did it wrong. He should have multiplied the bottom first (3 x 5) and then multiplied by height. Explain to Jill why Jacks method works and us equivalent to her method
Jill says he did it wrong. He should have multiplied the bottom first (3 x 5) and then multiplied by height. Explain to Jill why Jacks method works and us equivalent to her method
1 answer:
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Answer:
- Slant Height = 20.1 km
- Radius = 9 km
- Lateral Area = 568.3 km²
Step-by-step explanation:
The slant height is read from the diagram as 20.1 km.
The radius is half the diameter, so is 9.0 km.
The lateral area is ...
A = πrs = π(9.0 km)(20.1 km) ≈ 568.3 km²
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Desmos uses r for a special purpose, so we have used r₁ to signify the radius of the cone. The "round" function works only to round to an integer, so special effort must be used to get rounding to 1 decimal place.
Answer: Third option.
Step-by-step explanation:
By definition, Exponential functions have the following form:
Where "b" is the base ( and
), "a" is a coefficient (
) and "x" is the exponent.
It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.
Then, for an input value 0 () the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (
).
You can observe in the Third option shown in the image that when ,
Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.