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Anestetic [448]
3 years ago
14

Which situation is represented by the equation? 6n + 12 = 2n + 36

Mathematics
1 answer:
Romashka [77]3 years ago
3 0
<span>6n+12=2n+36
We move all terms to the left:
6n+12-(2n+36)=0
We get rid of parentheses
6n-2n-36+12=0
We add all the numbers together, and all the variables
4n-24=0
We move all terms containing n to the left, all other terms to the right
4n=24
n=24/4
n=6</span>
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What is the circumference of a circle whose diameter is 20?
Sergeeva-Olga [200]

Answer:

C≈62.83

Step-by-step explanation:

Use the formula C=πd

Plug in 20 for d and simplify

You then get 62.8318530718 in a calculator

So, you round it to 62.83

3 0
2 years ago
What is the quotient of 5/6+2/7 A. 35/12 B. 52/42 C. 7/13 D. 5/21​
BlackZzzverrR [31]
Answer is A. 35/12

Step by step.
Quotient is division.
5/6 divided by 2/7 = x
To divide fractions, flip one and multiply.
5/6 x 7/2 = 35/12
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4 0
1 year ago
Read 2 more answers
I need help with #6 please.
Juliette [100K]

9514 1404 393

Answer:

  6. (A, B, C) ≈ (112.4°, 29.5°, 38.0°)

  7. (a, b, C) ≈ (180.5, 238.5, 145°)

Step-by-step explanation:

My "work" is to make use of a triangle solver calculator. The results are attached. Triangle solvers are available for phone or tablet and on web sites. Many graphing calculators have triangle solvers built in.

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We suppose you're to make use of the Law of Sines and the Law of Cosines, as applicable.

6. When 3 sides are given, the Law of Cosines can be used to find the angles. For example, angle A can be found from ...

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((8² +10² -15²)/(2·8·10)) = arccos(-61/160) = 112.4°

The other angles can be found by permuting the variables appropriately.

  B = arccos((225 +100 -64)/(2·15·10) = arccos(261/300) ≈ 29.5°

The third angle can be found as the supplement to the other two.

  C = 180° -112.411° -29.541° = 38.048° ≈ 38.0°

The angles (A, B, C) are about (112.4°, 29.5°, 38.0°).

__

7. When insufficient information is given for the Law of Cosines, the Law of Sines can be useful. It tells us side lengths are proportional to the sine of the opposite angle. With two angles, we can find the third, and with any side length, we can then find the other side lengths.

  C = 180° -A -B = 145°

  a = c(sin(A)/sin(C)) = 400·sin(15°)/sin(145°) ≈ 180.49

  b = c(sin(B)/sin(C)) = 400·sin(20°)/sin(145°) ≈ 238.52

The measures (a, b, C) are about (180.5, 238.5, 145°).

7 0
2 years ago
Order the following numbers from least to greatest.<br> -2, 1, 4, 5
bija089 [108]

it  is either -2, 1, 4, 5 or if it is absolute value then it is 1, -2, 4, 5 . let me know if that helps.



8 0
3 years ago
In California, we need more rain to sustain the health of our natural environment, argriculture, and
astra-53 [7]

Answer:

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Inches of Rain 1 2 3 4 5 6

Frequency 2 4 3 3 7 3

The mean (¯xx¯) rain intensity: ____ inches (Please show your answer to 1 decimal place.)

The median rain intensity: __3.8__ inches

Step-by-step explanation:

the answer is 3.8

4 0
2 years ago
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