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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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Elimination 7x+2y = 24 (6,-9)​
erastovalidia [21]

Answer:

7x + 2y = 24 8x + 2y = 30. Subtract -x = -6 x = 6. Substitute x = 6 into 7x + 2y = 24 7(6)+ 2y = 24 42 + 2y = 24 2y = 24 - 42 2y = -18 y = -9 {6,-9} ...

Step-by-step explanation:

4 0
3 years ago
What is the slope of the line that contains the points (-6,-2) and (3,-2)
ruslelena [56]
Slope = (y2 - y1)/(x2 - x1) = (-2 - (-2))/(3 - (-6)) = (-2 + 2)/(3 + 6) = 0/9 = 0

Required slope = 0
3 0
3 years ago
Sam makes about 79% of his free throws. he shoots 60 free throws. about how manywill he make?
nataly862011 [7]
Hey You!

60 * 79% = 47.4

You can solve it by:

(60 ÷ 100 × 79 = 47.4)

Sam will make 47.4 of his throws.
5 0
3 years ago
Read 2 more answers
I need help with this math question
djyliett [7]
Percent means per one hundred so we can say that:

p/100≈(28)/(28+81+45+63+35)  guessing with my old eyes :)

p/100≈28/252

p≈2800/252

p≈11.11%

So rounded to the nearest 5% you'd have:

p≈10%
5 0
3 years ago
Find the missing dimension of the prism. Round your answer to the nearest hundredth.
Nitella [24]

Answer:

x = 6.99in

Step-by-step explanation:

Given

l =2in

Volume = 72.66in^3

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

Base\ Area= \frac{3\sqrt 3}{2}l^2

This gives:

Base\ Area= \frac{3\sqrt 3}{2} * 2^2

Base\ Area= \frac{3\sqrt 3}{2} * 4

Base\ Area= 3\sqrt 3 * 2

Base\ Area= 6\sqrt 3

Side x represents the height.

So, we have:

Volume = Base\ Area*x

Make x the subject

x = \frac{Volume }{ Base\ Area}

x = \frac{72.66in^3}{6\sqrt 3 in^2}

x = \frac{72.66}{6\sqrt 3}in

x = \frac{12.11}{\sqrt 3}in

x = 6.99in --- approximated

6 0
3 years ago
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