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wariber [46]
2 years ago
14

Find the sine of ∠W.

Mathematics
1 answer:
DedPeter [7]2 years ago
3 0

Answer:

sin(w) =  \frac{30}{34}  \\ sin(w) =  \frac{15}{17}

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A bead is formed by drilling a cylindrical hole of 2mm diameter through a sphere with an 8mm diameter. Estimate the volume of th
nydimaria [60]
The bead is in a cylindrical shape and the formula for solving the volume of a cylinder is V=pi*r²*h where "r" is the radius, "h" for the height.
We have given values such as:
r=diameter/2 = 2/2 = 1mm
h= 8mm
Solving for the volume, we have:
V=3.14*1²*8
V=24.12 mm²

6 0
3 years ago
Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimet
Mumz [18]

Answer:

296.693\leq x\leq 319.307

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }

Where x' is the sample mean, s is the population standard deviation, n is the sample size and z_{\alpha /2} is the z-score that let a proportion of \alpha /2 on the right tail.

\alpha is calculated as: 100%-99%=1%

So, z_{\alpha/2}=z_{0.005}=2.576

Finally, replacing the values of x' by 308, s by 17, n by 15 and z_{\alpha /2} by 2.576, we get that the confidence interval is:

308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307

6 0
3 years ago
Complete the Table
lianna [129]

Answer:

a= 6

b = 7

c = 8

d = 7

e = 6

Step-by-step explanation:

Notice that the bike is 6 feet above the ground to start with, so when it starts rolling, the green dot is exactly 6 feet from the ground, which gives a=6

when the distance covered by the bike is \frac{\pi}{2}, (see first red dot in the attached image), the position of the green dot is exactly 1 foot added to 6 ft= 7 feet

so b = 7

when the distance covered is \pi, now the green dot would be at the top of the wheel (second red dot in the attached image) which involves adding 2 feet to the original 6 feet. That is: c = 8

when the distance covered is \frac{3\pi}{2}, the green dot is at the position of the third red dot in the attached image., that it exactly one foot added to 6 feet = 7 ft which gives the value of d = 7

and finally, when the distance covered is 2\pi. the green dot has completed a full circle and is now again in its lower position (nothing - zero) added to 6 feet =  6ft, giving e = 6.

5 0
3 years ago
Y varies directly with x. If x = 16 and y = 2 find y when x = 96
ArbitrLikvidat [17]

Answer:

y = 12

Step-by-step explanation:

Use the equation y = kx

Plug in x and y to find k:

2 = k(16)

1/8 = k

Then, plug in 1/8 as k and 96 as x to find y:

y = 1/8(96)

y = 12

6 0
3 years ago
What is the average of 45 and 19
Furkat [3]
\frac{45+19}{2} =\frac{64}{2} =32

The average of 45 and 19 is 32.
7 0
3 years ago
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