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alexandr402 [8]
3 years ago
7

Simplify the expression (5x^2)^3

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0
126^6 that's only if x doesn't have a value
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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.

__

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
3 years ago
What is the surface area of a cylinder with base
Alisiya [41]

Answer:

138.23

Step-by-step explanation:

2πrh+2πr^2=2·π·2·9+2·π·2^2

3 0
3 years ago
I need help!!!!!!!!!?
ycow [4]
Is it radius or circumference?
5 0
3 years ago
A cheerleading team plans to sell t-shirts as a fundraiser. the teams goal is to make profit of at least $1248. the profit on ea
Lemur [1.5K]

The minimum number of shirt they will sell to make the given profit is 192 shirts

<h3>Inequality expression</h3>

Inequalities are equations not separated by an equal sign.

If a cheerleading team plans to sell t-shirts as a fundraiser and the teams goal is to make profit of at least $1248 with each t-shirt sold at $6.50, then the equation required is;

6.50t ≥ 1246

Divide both sides by 6.50

6.50t/6.50 ≥1246/6.5

t ≥ 192

Hence the minimum number of shirt they will sell to make the given profit is 192 shirts

Learn more on inequality here: brainly.com/question/11613554

#SPJ1

8 0
2 years ago
What value is equivalent to 108-8x(5-2)-60
emmasim [6.3K]

Answer:

-28    +    -1    =    -29

     -14    +    -2    =    -16

     -7    +    -4    =    -11

     -4    +    -7    =    -11

     -2    +    -14    =    -16

     -1    +    -28    =    -29

     1    +    28    =    29

     2    +    14    =    16

     4    +    7    =    11

     7    +    4    =    11

     14    +    2    =    16

     28    +    1    =    29

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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