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natima [27]
3 years ago
14

Find the value of $x$ for the right triangle. A right triangle with base labeled x and hypotenuse labeled 12 units. Angle betwee

n the height and hypotenuse is labeled 30 degrees. $x=$
Mathematics
1 answer:
slamgirl [31]3 years ago
8 0

Answer:

6 feets

Step-by-step explanation:

The triangle described in the question has been sketched in the picture attached below :

From the triangle, we could solve for X, which is the base of the triangle using trigonometry :

Sinθ = opposite / hypotenus

Sin 30° = x / 12

0.5 = x / 12

x = 12 * 0.5

x = 6 feets

Hence base, x = 6 feets

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Please Help!!! Determine the intercepts of the line that corresponds to the following table of values.
Orlov [11]

Answer:

y-intercept is (0,30); x-intercept is (52.5,0).

Step-by-step explanation:

Note that as x increases by 7 from -35 to -28,   y decreases by 4 from 18 to 14.  Thus, the slope of this line is

m = rise / run = -4/7.

Let's find the equation of the line.  Start with the slope-intercept form:

y = mx + b.  Use the slope m = -4/7 and the point (-28, 14) to find b:

14 = -(4/7)(28) + b, or

14 = -16 + b.  Then b = 30, and the equation of the line in slope-intercept form is y = (-4/7)x + 30.  The y-intercept is (0, 30).

Find the x-intercept by setting y=0 and solving the resulting equation for x:

y = (-4/7)x + 30 becomes (4/7)x = 30, and x = (7/4)(30) = 214, or 52.5.

The x-intercept is thus (52.5, 0).

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