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olga_2 [115]
3 years ago
15

What is the surface area of a square pyramid with a base of 12cm and a slanted height of 8cm?

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0
Base:
12*12= 144 cm^2

Triangle sides:
12*8/2= 48 cm^2 each

Multiply by 4 because there are four of them
48*4= 192 cm^2

Add the base
192+144=336 cm^2

Final answer: 336 cm^2
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The population of California was 29.76 million in 1990 and 33.87 million in 2000. Use the model found in part a (f(x) =29.76(1.0
NeTakaya

Answer:

The average rate of change from 1990 to 1991 is 0.387 \:\frac{million}{years}

The average rate of change from 2000 to 2001 is 0.440 \:\frac{million}{years}

Step-by-step explanation:

The average rate of change of function f(x) over the interval a\leq x\leq b is given by

\frac{f(b)-f(a)}{b-a}

It is a measure of how much the function changed per unit, on average, over that interval.

From the information given:

  • The function that models the population t years after 1990 is f(t) =29.76(1.013)^t
  • The year 1990 is t = 0 and the year 2000 is t = 10.

1. The average rate of change from 1990 to 1991 is:

The interval is 0\leq x\leq 1

\frac{29.76(1.013)^1-29.76(1.013)^0}{1-0}\\\\\frac{1.013^1\cdot \:29.76-1\cdot \:29.76}{1-0}\\\\\frac{0.38688}{1-0}\\\\0.387 \:\frac{million}{years}

2. The average rate of change from 2000 to 2001 is

The interval is 10\leq x\leq 11

\frac{29.76(1.013)^{11}-29.76(1.013)^{10}}{11-10}\\\\\frac{0.44022}{11-10}\\\\0.440 \:\frac{million}{years}

8 0
3 years ago
What is an equation of the line that passes through the points (-4, -3)and (3, -3)
bezimeni [28]

Answer:

y = 0x - 3

Step-by-step explanation:

Looking at just the plots, you can see that they are equal in y-value, so they would make a horizontal line, meaning no slope. That just leaves the y-intercept, and if it is horizontal, and they are both at y level -3, the intercept is -3. So putting it in slope-intercept form, you get y = 0x - 3. The 0 signifies the line doesn't slope down or up, just horizontally.

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Cherries currants 5/10
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The decay rate is
1 - r = .97
Solve for r
Subtract 1 from both sides
- r = -.03
Divide both sides by -1
r = .03
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3 years ago
Is it possible t form a triangle with side lengths of 11.5 yd, 15.5yd and 9 yd? Proof
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Given a triangle if side a, b and c where c is the longest side, then:
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this implies that the dimensions form a triangle.
4 0
3 years ago
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