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2 years ago

Help, please

Mathematics

1 answer:

stich3 [128]2 years ago

5 0

The width of the rectangle is 6.82 meters, while the length of the rectangle is 8.184 meters.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Let the width of the rectangle be x.

Given that a rectangular room is 1.2 times as long as it is wide. Therefore, the length is 1.2x.

Perimeter = 2(x + 1.2x)

30 meters = 2(2.2x)

30 = 4.4x

x = 6.82

Hence, the width of the rectangle is 6.82 meters, while the length of the rectangle is 8.184 meters.

Learn more about Rectangle:

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Dmitrij [34]

Cooooooooooooooooooooooooooool

3 0

3 years ago

Anyone know this?? it’s finding the sine of a triangle!!

LenKa [72]

Answer:

I'm not sure what you want me to answer from this, so I solved for every variable:

Angle A: 83°

Side b: 6.29

Side c: 5.8

Step-by-step explanation:

-----Angle A:

Since the sum of the interior angles of a triangle ALWAYS equal 180°, we can solve for angle A as follows:

$A+51+46=180\\A+97=180\\A=83$

-----Side b:

Here, we use the sin rule for finding sides, since we know all of the angles as well as one side:

$\frac{a}{sin(A)} =\frac{b}{sin(B)} \\\frac{8}{sin(83)} =\frac{b}{sin(51)} \\8.06=\frac{b}{0.78} \\6.29=b$

-----Side c:

$\frac{a}{sin(A)} =\frac{c}{sin(C)} \\\frac{8}{sin(83)}=\frac{c}{sin(46)} \\8.06=\frac{c}{0.72} \\5.8=c$

7 0

2 years ago

Read 2 more answers

The results of a national survey showed that on average, adults sleep 6.7 hours per night. Suppose that the standard deviation i

Roman55 [17]

Answer:

a) Atleast 75%

b) Atleast 88.9%

c) 95%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.7

Standard Deviation, σ = 1.6

Chebyshev's Theorem:

Atleast $1 - \dfrac{1}{k^2}$ percent of data lies within k standard deviation of mean.

Empirical Rule:

Almost all the data lies within 3 standard deviation for a normal data.
Around 68% of data lies within 1 standard deviation of mean.
Around 95% of data lies within 2 standard deviation of mean.
Around 99.7% of data lies within 3 standard deviations o mean.

a) minimum percentage of individuals who sleep between 3.5 and 9.9 hours

$3.5 = \mu - 2\sigma = 6.7 - 2(1.6)\\9.9 = \mu + 2\sigma = 6.7 + 2(1.6)$

We have to find the percent of data lying within 2 standard deviation of mean.

Putting k = 2

$1 - \dfrac{1}{(2)^2} = 0.75 = 75\%$

Atleast 75% of of individuals who sleep between 3.5 and 9.9 hours.

b) minimum percentage of individuals who sleep between 2.7 and 10.7 hours

$2.7 = \mu - 3\sigma = 6.7 - 3(1.6)\\10.7 = \mu + 3\sigma = 6.7 + 3(1.6)$

We have to find the percent of data lying within 3 standard deviation of mean.

Putting k = 3

$1 - \dfrac{1}{(3)^2} = 0.889 = 88.9\%$

Atleast 88.9% of of individuals who sleep between 2.7 and 10.7 hours.

c) percentage of individuals who sleep between 3.5 and 9.9 hours per day.

Thus, we have to find the percentage of data lying within 2 standard deviation.

By empirical rule, around 95% of data lies within 2 standard deviation.

Thus, 95% of of individuals who sleep between 3.5 and 9.9 hours.

This is higher than the percentage obtained from Chebyshev's rule.

4 0

3 years ago

There is a rectangular terrain with dimensions "x" and "y". If it is known that its area of is 22m ^ 2 and that x ^ 2 + y ^ 2

Margaret [11]

9514 1404 393

Answer:

24 m

Step-by-step explanation:

The area formula tells us ...

22 = xy . . . . . square meters

Adding twice this to the quadratic constraint gives ...

(x^2 +y^2) +2(xy) = (100) +2(22)

(x +y)^2 = 144

x +y = √144 = 12

The perimeter is double this amount, so is ...

P = 2(x +y) = 2(12) = 24 . . . . meters

5 0

3 years ago

Solve pls brainliest

Drupady [299]

91/25, 3.92, 3.928, 2 13/20

im pretty sure this is correct AND IM RLY SRY IF IT ISN’T

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3 years ago