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ahrayia [7]
3 years ago
7

Find the surface area of the solid given the net

Mathematics
1 answer:
vivado [14]3 years ago
7 0
Surface area = 17*(sqrt(1155) + 19)

h^2 = 19^2 - 17^2/4
=> h = sqrt(4*19^2 - 17^2)/2 = sqrt(1155)/2
Surface area = 4(1/2*h*17) + 17*19 = 17(sqrt(1155) + 19)
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the hoop rotates through qan angle of 3/2 pie radian in 1 second how many revolutions does the hoop make in 1 minute
timofeeve [1]
A revolution is a full go-around the circle, namely a 2π angle, as opposed to pie, but yours sounds more delicious.

so, we know it does 3/2 π in 1 second, how many π does it do in 60 seconds(1 minute) ?

\bf \begin{array}{ccll}
radians&seconds\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{3\pi }{2}&1\\\\
r&60
\end{array}\implies \cfrac{\frac{3\pi }{2}}{r}=\cfrac{1}{60}\implies \cfrac{\frac{3\pi }{2}}{\frac{r}{1}}=\cfrac{1}{60}

\bf \cfrac{3\pi }{2}\cdot \cfrac{1}{r}=\cfrac{1}{60}\implies \cfrac{3\pi }{2r}=\cfrac{1}{60}\implies \cfrac{3\pi \cdot 60}{2}=r\implies 90\pi =r\\\\
-------------------------------\\\\
\textit{how many times }2\pi \textit{ goes into }90\pi ?\qquad \cfrac{90\pi }{2\pi }\implies 45
7 0
3 years ago
How does the function f(x) = a ln x compare to the parent function when |a| > 1?
Tems11 [23]

Answer:

  Multiplying a function by a constant expands the graph vertically by the magnitude of the constant. (If the constant is negative, the graph is also reflected about the x-axis.)

Step-by-step explanation:

Each value of a·ln(x) will be a factor of "a" farther away from the x-axis than it is for the parent function ln(x). That is, a·ln(x) is a vertically expanded version of the parent function ln(x). When |a| > 1, the expansion increases the distance from the x-axis.

5 0
4 years ago
Read 2 more answers
The set of life spans of an appliance is normally distributed with a mean y = 48 months and a standard deviation or
Kamila [148]

Answer:

The set of life spans of an appliance is normally distributed with a mean µ= 48 months and a standard deviation σ= 8 months. ... Thanh finds that his grade on the test has a z-score of -2.5. ... are normally distributed, and the probability that the city gets more than 43.2 inches of rain in a year is given by P(z≥1.5)=0.0668.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Select the next item in the sequence.
Lapatulllka [165]

9514 1404 393

Answer:

  B. 11.000

Step-by-step explanation:

The function looks like a reflected and translated exponential function with a horizontal asymptote near y = 11.000. The rate of change is decreasing so fast that the next value is expected to be very near 10.994. The closest one among the answer choices is 11.000.

_____

First differences are 0.811 and 0.011. The latter is about 0.0136 times the former. At that rate of change, we expect the next first difference to be about 0.000149, which would make the next number in sequence be about 10.9941—very little change from 10.994.

Clearly, first differences are not constant, so the function is not linear. Ratios of the numbers are not constant, so this is not an exponential (geometric) sequence. A reflected exponential function of the type described is a good fit.

With only 3 points given, the rule is not at all obvious. The next term could legitimately be anything you like, and a rule could be made that would fit it.

8 0
3 years ago
If Julio read 80 pages in 2 hours, how many pages per hour did he read?
Contact [7]

Answer:

40

Step-by-step explanation:

7 0
3 years ago
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