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miskamm [114]
3 years ago
9

Find the length of each leg.

Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° = \frac{\sqrt{3} }{2} and cos60° = \frac{1}{2}, then

sin60° = \frac{opposite}{hypotenuse} = \frac{BC}{AC} = \frac{BC}{10} = \frac{\sqrt{3} }{2} ( cross- multiply )

2BC = 10\sqrt{3} ( divide both sides by 2 )

BC = 5\sqrt{3}

------------------------------------------------------------------------

cos60° = \frac{adjacent}{hypotenuse} = \frac{AB}{AC} = \frac{AB}{10} = \frac{1}{2} ( cross- multiply )

2AB = 10 ( divide both sides by 2 )

AB = 5

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This is due tomorrow, so please help and show step by step​
Softa [21]

Answer:

  • slope = 3/2
  • y-intercept = 3
  • x-intercept = -2

Step-by-step explanation:

The slope is the coefficient of x when the equation is of the form ...

  y = (something).

Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:

  12x -8y = -24 . . . . . given

  -8y = -12x -24 . . . . .subtract 12x

  y = 3/2x +3 . . . . . . . divide by -8

This is the "slope-intercept" form of the equation. Generically, it is written ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

So, the above equation answers two of your questions:

  slope = 3/2

  y-intercept = 3

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The x-intercept is found fairly easily from the original equation by setting y=0:

  12x = -24

  x = -24/12 = -2 . . . . . the x-intercept

_____

A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.

8 0
3 years ago
Radius is 6 height is 4 what is the volume rounded to the nearest hundredth
Ainat [17]

Answer:

Step-by-step explanation:

What are we calculating ??? If it is volume of a cone=1/3πr^2h

1/3×3.142×4×4×6

=100.54units cube

To calculate volume of cylinder=πr^2h

V=3.142×4×4×6

V=301.63 units cube

6 0
3 years ago
PLEASE HELP!
butalik [34]
We know for the problem that the performer earned $120 at a performance where 8 people attend. We also know that he u<span>ses 43% of the money earned to pay the costs involved in putting on each performance, so we need to find the 43% of $120. To do that, we are going to divide 43% by 100%, and then multiply it by $120:
</span>\frac{43}{100}*120=51.6
Now we know that the performer uses $51.6 of $120 to pay the costs involved in putting on each performance. The only thing left to find his profits is subtract $51.6 from $120:
120-51.6=68.4

We can conclude that the performer makes a profit of $68.4 when 8 people attend his performance.
 
3 0
4 years ago
Assume m&lt;2 = 35°. Find the measure of all of the other
soldi70 [24.7K]

  1. m<1 = 145 | Supplementary
  2. m<3 = 35 | Vertical
  3. m<4 = 145 | Supplementary
  4. m<5 = 145 | (With Angle 4) If parallel then alternate interior angles congruent
  5. m<6 = 35 | (With Angle 5) Supplementary
  6. m<7 = 35 | (With Angle 6) Vertical
  7. m<8 = 145 | (With Angle 7) Supplementary

Hope it helps <3

(If it does, maybe brainliest :) Need one more for rank up)

6 0
3 years ago
Read 2 more answers
Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon De
GuDViN [60]
This year is yer number 2 , so t = 2
which means that the next year will be t = 3

So, Epsilon-delta should order :
42000 (1.3 ^ (3/2)) 
= 62,254 Tags

Hope this helps
7 0
3 years ago
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