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natali 33 [55]
3 years ago
13

Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.

Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

ANSWER

36√3 square units.

EXPLANATION

The area of a parallelogram is obtained by multiplying the base by the height.

We use the sine ratio to obtain the height.

\sin(60 \degree)  =  \frac{h}{6}

h = 6 \sin(60 \degree)

h = 3 \sqrt{3}

The area becomes:

12 \times 3 \sqrt{3}  = 36 \sqrt{3} {units}^{2}

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Perimeter 254 meters and dimension measures 6 meters​
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Answer:

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Step-by-step explanation:

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Simplify the given expression, using only positive exponents. Then complete the statements that follow.
Alenkinab [10]

Answer:

lol but where is the main question

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3 years ago
1. (a) Use the integral test to show that P[infinity] n=1 1/n4 converges. (b) Find the 10th partial sum, s10, of the series P[in
scZoUnD [109]

Answer:

Step-by-step explanation:

a) \int\limits^{\infty} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

Substitute limits to get

= \frac{1}{3}

Thus converges.

b) 10th partial sum =

\int\limits^{10} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

=\frac{-1}{3} (0.001-1)\\= 0.333

c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)

where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .

(question is not clear)

3 0
3 years ago
20 points NEED HELP
Finger [1]
It would be C, because there are 700,000 people and with A, B, and D there are more people than there are the original population.
8 0
3 years ago
Read 2 more answers
Your start-up business is looking into the energy usage in the community of south lawndale. your sample size is 12 months. use t
Aleonysh [2.5K]

The confidence interval at 95% level is

7106.87 <  μ< 14255.27

<h3>What is meant be mean and standard deviation?</h3>

The ratio of sum of observations to the total number of observation is known as mean. It is one of the central tendency in the statistics. It gives an idea about the central value present in the data. The most sensitive measure of central tendency is mean. It is very easy to calculate. Mean playa a crucial role in daily life. The two types of means are Arithmetic mean and Geometric mean.

Standard deviation is a measure in the statistics. The amount of variation of a set of values is known as standard deviation. Standard deviation is denoted by σ.

As per given data

90% confident level for amount of electricity used in community of Austin is

X-tx/2(n-1)s/√n < μ < X+ tx/2(n-1)s/√n

Here , n=12 ,  X=10681.07 , s=6893.87

Margin of error = tx/2(n-1)s/√n

=(1.796×6893.87)/√12

=3574.1996

=3574.19(approximately)

Therefore, 90% CI is,

10681.07-3574.19 ≤ μ<10681.07+3574.19

7106.87 <  μ< 14255.27

To know more about mean and standard deviation, visit:

brainly.com/question/14720855

#SPJ4

5 0
1 year ago
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