<u><em>Answer:</em></u>
The shorter leg is 
inches
<u><em>Explanation:</em></u>
The 30°-60°-90° is a special type of right-angled triangles
<u>It has the following special side length:</u>
The length of the side opposite to the 30° is 
the length of the hypotenuse
The length of the side opposite to the 60° is 
of the hypotenuse
<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles
<u>This means that</u> the shortest side will be the one opposite to the smallest angles
In our case, the shortest side will be the one opposite to the 30° angle
We are given that the hypotenuse of the triangle is 
in
<u>From the above:</u>
Shorter leg = leg opposite to 30° = 
inches
Hope this helps :)
(x - xc)² + (y - yc)² = r²
Where xc and yc are center coordinates
(x - (-4))² + (y - 3)² = 2²
x² + 2.x.4 + 4² + y² - 2.y.3 + 3² = 4
x² + 8x + 16 + y² - 6y + 9 = 4
x² + y² + 8x - 6y + 25 - 4 = 0
x² + y² + 8x - 6y + 21 = 0
Answer: 12 hours
Step-by-step explanation:
3 hours landscaping = $36
She still needs to make $224 to meet her requirement.
$224 divided by $19 tutoring = 11.79 hours
224÷19=11.79
Rounded to the nearest whole number: 12
This would mean Makayla worked a total of 15 hours and made $264. Which meets her requirements.
Answer:
every answer except -40 and -20
answer:-77,-100,-45
The equation can be modeled as
X + X + (X+4) = 61
X is used for all because they are all the same number and can be given the same variable
The third is given plus four so we can use a common variable
3x + 4 = 61
3x = 57 (subtracted four)
x = 19 (divided by three)
Solving for third side so x + 4
The third side is 23 inches
