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3 years ago

If a rectangle has an area of 36 square units, what could the dimensions be?

1 answer:

6 0

The area of a rectangle is length times width. Since a square's length is equal to its width, a square's area is equal to the length of one side times itself. So, reversed, the square root of the square's area gives the length of one side. In this case, the square root of 36 square centimeters is 6 centimeters. Again, since all four sides of a square are the same, its perimeter is equal to the length of one side times four. For a square with one side equal to 6 centimeters, the perimeter equals 24 centimeters.

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We have a right triangle that has am 8 meter and 21 meter leg .Find the hypotenuse

Serjik [45]

Answer:

hypotenuse is 22.47 m

Step-by-step explanation:

The length of both legs of a right angle triangle are 8m and 21 m

We need to find the hypotenuse

To find hypotenuse we use Pythagorean theorem

Hypotenuse is AC and other two legs are AB and BC

$AC^2 = AB^2 + BC^2$

Hypotenuse ^2 = 8^2 + 21^2

hypotenuse = $\sqrt{8^2 + 21^2}$

= $\sqrt{64 + 441}$

= $\sqrt{505}$

= 22.47

So the length of the hypotenuse is 22.47 m

4 0

3 years ago

Find the surface area of this net.

Elden [556K]

Answer:

Step-by-step explanation:

First, let's find the surface area of both the triangles

5x3=15

So, the surface area of the triangles is 15 sq.cm

Now, let's find the surface area of the base (large rectangle in the middle)

12x8=?

10x8=80

2x8=16

80+16=96

12x8=96

So, the surface area of the base, is 96sq.cm

Now, let's find the surface area of both of the side rectangles

12x5=60

60x2=120

So, the surface area of the two side rectangles is 120sq.cm

Now, let's find the total surface area by adding all of our answers.

120+96=216

216+15=231

<h2>So hence, the surface area of this net is 231cm²</h2>

3 0

2 years ago

In a random sample of 74 women at a company, the mean salary is $39,902 with a standard deviation of $3270 in a random sample of

ValentinkaMS [17]

The correct answer is the first choice, ($1818.30, $5077.70.)

To find this, we first find the z-score based on the confidence level:
Convert 95% to a decimal: 95%=95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.

Next, we identify
$\overline{x_1}=39902; \overline{x_2}=36454; n_1=74; n_2=40; \sigma_1=3270; \sigma_2=4677$

Next we find
$(\overline{x_1}-\overline{x_2})=(39902-36454) = 3448$

Next we find
$\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}
\\
\\=\sqrt{\frac{3270^2}{74}+\frac{4677^2}{40}}=\sqrt{\frac{10692900}{74}+\frac{21874329}{40}}
\\
\\=831.479$

Next, we multiply this value by z:
1.96(831.479) = 1629.70

The confidence interval is given by
$3448\pm1629.70
\\
\\=(3448-1629.70, 3448+1629.70)
\\
\\=(1818.30, 5077.70)$

5 0

3 years ago

Write as an addition problem: 53 - (-53 )

Vlad [161]

Answer: 106

Step-by-step explanation:

53-(-53)

= 53 + 53 [ the product of - and - gives +]

= 106

Hope it helped u,

pls mark as the brainliest

^_^

7 0

3 years ago

Volunteers at an animal shelter are building a rectangular dog run so that one shorter side of the rectangle is formed by the sh

Shkiper50 [21]

Write and solve a compound inequality to model the possible length of the dog run.

The inequality to model the possible length of the dog run is;. 100 ≤ 2.50x ≥ 200

And the possible length of the dog run is 80ft.

Minimum spending = $100

Maximum spending = $200

Cost per square feet = $2.50

let

x = possible number of square feet

The inequality:

100 ≤ 2.50x ≥ 200

This means possible number of square feet constructed is greater than or equal to $100 or less than or equal to $200

solve:

100 ≤ 2.50x ≥ 200

divide the inequality into 2

100 ≤ 2.50x

x ≤ 100/2.5

x ≤ 40

the other part:

2.50x ≥ 200

x ≥ 200/2.50

x ≥ 80

Therefore,

the possible length of the dog run is 80 feet

Read more:

brainly.com/question/9135876

8 0

3 years ago