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4 years ago

Please help me figure this out!!!!!!

Mathematics

2 answers:

Firdavs [7]4 years ago

8 0

The answer is 129.13 is your answer. Remember, the perimeter of the base is 4s since it is a square. There is no formula for a surface area of a non-regular pyramid since slant height is not defined. To find the area, find the area of each face and the area of the base and add them.

Sauron [17]4 years ago

8 0

Total surface area of pyramid = area of base + area of 4 triangular faces

area of base = 6.4*6.4 = 40.96 cm²
area of one triangular face = 1/2 * 6.4 * 6.1 = 19.52 cm²

Surface area of pyramid = 40.96 + 4 * 19.52 = 119.04 cm²

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3 years ago

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Answer:

Part A)

A reasonable domain to plot the growth function is:

$0\leq d \leq 12$

Part B)

The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

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Step-by-step explanation:

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Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:

$6.34=5(1.02)^d$

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Take the log of both sides with base 1.02:

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So, the biologist concluded her study after 12 days.

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Part 2)

The y-intercept of the function is when d = 0. Find the y-intercept:

$f(0)=5(1.02)^{(0)}=5(1)=5$

Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

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Find the endpoints:

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And find the slope between them:

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Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

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