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Fed [463]
1 year ago
5

Find the length of side x in simplest radical form with a rational denominator.60°130°X

Mathematics
1 answer:
iren [92.7K]1 year ago
5 0

We will solve using the law of sines as follows:

\frac{1}{\sin(30)}=\frac{X}{\sin (60)}

Now, we solve for X:

\Rightarrow X=\frac{\sin(60)}{\sin(30)}\Rightarrow X=\sqrt[]{3}

So, the length of X is sqrt(3).

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Find the distance between the points (-2,3) and (3,-9)
kakasveta [241]

Answer:

  13 units

Step-by-step explanation:

Put the numbers in the distance formula and do the arithmetic.

  d = √((x2 -x1)² +(y2 -y1)²)

  = √((3 -(-2))² +(-9-3)²) = √(5² +(-12)²) = √(25 +144)

  d = √169 = 13

The distance between the points is 13 units.

5 0
3 years ago
Novak hiked for 1¼ miles. After resting, he continued hiking for 2½ miles. How far did Novak hike?
kolbaska11 [484]

Answer:

3 3/4 miles

Step-by-step explanation:

work:

1 1/4 + 2 1/2 = 3 3/4

3 0
3 years ago
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Nat2105 [25]

Answer:

Step-by-step explanation:

First choose two points on the line,

Let the points are A and B.

From point A to B we are moving downwards by (5 - 1 = 4 units)

Therefore, Rise = -4

Horizontal distance between A and B = 2 units

Therefore, Run = 2

Since, slope of a line = \frac{\text{Rise}}{\text{Run}}

Slope = \frac{-4}{2}

          = -2

7 0
3 years ago
Who could help me on the last part
anyanavicka [17]

Step-by-step explanation:

X^a times X^b = X^a + b

so 4x times 6x = 24x^(1+1)

6 0
3 years ago
- 5 - 2 (a - b) + 2 (a - b) -3 (a - b) + 3 = ?
zzz [600]
Collect like terms and you'll get -2 - 3(a - b)
7 0
3 years ago
Read 2 more answers
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