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sineoko [7]
3 years ago
15

Find the magnitude of the vectors {-4, 2} to the nearest tenth

Mathematics
1 answer:
Dimas [21]3 years ago
5 0
\bf \begin{array}{rllll}
\ \textless \ -4&,&2\ \textgreater \ \\
a&&b
\end{array}\implies 
\begin{array}{llll}
||\ \textless \ a,b\ \textgreater \ ||=\sqrt{a^2+b^2}\\\\
||\ \textless \ -4,2\ \textgreater \ ||=\sqrt{(-4)^2+2^2}
\end{array}
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dexar [7]
I believe the correct number is 88.
8 0
2 years ago
The volume of a cylinder is 980pi in ^3 The height of the cylinder is 20 in. What is the radius of the cylinder?
siniylev [52]

Answer:

The radius of the cylinder is 7 in

Step-by-step explanation:

To calculate the radius of a cylinder we have to use the following formula:

v = volume  = 980π in³

h = height = 20in

π = pi

r = radius

v = (π * r²) * h

we replace with the known values

980π in³  = (π * (r)²) * 20in

980π in³ / 20in = π * (r)²

49 in² = (r)²

√(49 in²) = r

7 in = r

The radius of the cylinder is 7 in

7 0
3 years ago
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Stolb23 [73]

Answer:

9:23 simple

Step-by-step explanation:

4 0
3 years ago
The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean
Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

(c) 384.25 ml

Step-by-step explanation:

(a)The mean:

\mu = \frac{385 + 370}{2} = 377.5 ml

The standard deviation:

\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33

(b)

P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333

(c)P(x > m) = 0.95

\frac{m - 370}{385 - 370} = 0.95

m - 370 = 14.25

m = 384.25ml

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

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3 years ago
jan began with 5/6 pound of modeling clay and used 1/5 of the clay to make decorative magnets, She divides the remaining clay in
erastovalidia [21]
5/30 becuase if I multiply u get the answer.
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3 years ago
Read 2 more answers
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