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stich3 [128]
3 years ago
12

4m+9+5m-12=43 simplify and solve

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0
<span>4m+9+5m-12=43
9m - 3 = 43
9m = 43 + 3
9m = 46
m = 46/9 = </span>5 \frac{1}{9}
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PLEASE HELP ASAP!!!! Thanks!!
tino4ka555 [31]

Answer:

1.2 cm

Step-by-step explanation:

Quadrilateral circumscribing a circle is a quadrangle whose sides are tangent to a circle inside it (see attached diagram).

The area of circumscribed quadrilateral is

A=p\cdot r,

where p=\dfrac{a+b+c+d}{2} is semi-perimeter and r is radius of inscribed circle.

In your case, A=12\ cm^2

If a quadrilateral is circumscribed over the circle, then the sum of opposite sides is equal, so

a+c=b+d=10\ cm,

so

P=10+10=20\ cm\\ \\p=\dfrac{20}{2}=10\ cm

Now

12=10\cdot r\Rightarrow r=\dfrac{12}{10}=1.2\ cm

8 0
3 years ago
How are &lt;1 and &lt;2 related
Stella [2.4K]

Answer:

They are adjacent

Step-by-step explanation:

3 0
3 years ago
The temperature dropped 18 degrees from 6:00 P.M. to midnight. If the temperature at midnight was 2°F, what
vazorg [7]

Answer:

x - 18°F = 2°F

x = 20°F

Step-by-step explanation:

First, write the equation with the information you know. It dropped 18°F from 6 to midnight, and by midnight the temperature was 2°F

Your equation should look like this: x - 18°F = 2°F

Move the constant to the right hand side and change it's sign:

x = 2°F + 18°F

Add the numbers to get x = 20°F

Hope this helped!

6 0
3 years ago
5. From 13 friends to 14 friends
LUCKY_DIMON [66]

Answer:

That would be 1

Step-by-step explanation:

To get 13 out of 14 you must add 1.

7 0
2 years ago
In January of 2011, the U.S. saw an increase in gas prices. Imagine the average price per gallon was $3.12 with a standard devia
Arada [10]

Answer:

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Step-by-step explanation:

We are given;

Population mean; μ = $3.12

Sample mean; x¯ = $3.16

Sample size; n = 10

Standard deviation; σ = $0.27

Z-score formula is; z = (x¯ - μ)/(σ/√n)

z = (3.16 - 3.12)/(0.27/√10)

z = 0.04/(0.08538)

z ≈ 0.47

Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;

P(x¯ > 3.12) = 1 - P(z < 0.47)

From z-table attached P(z < 0.47) = 0.68082

Thus;

P(z > 0.47) = 1 - 0.68082

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This expressed in percentage is 31.92%

4 0
2 years ago
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