Let the hypotenuse <span>of a 30-60-90 triangle = l
</span>So, the leg which faces angel 60 = l sin 60 = (√3)/2 l // and the leg faces angel 30 = l sin 30 = 0.5 l //
∴ the longer leg = (√3)/2 l
∴ The ratio between the longer leg and hypotenuse = (√3)/2 l : l = (√3)/2 : 1 = √3 : 2 = 3 : 2√3
The correct choices will be C and E
3 different sizes.
3 different colors.
Total outcomes: number of sizes x number of colors.
3 x 3 = 9
There are 9 total outcomes.
Answer:
°
Step-by-step explanation:
The angle shown in the figure is known as an external angle.
Also, <u>in a regular polygon (like the regular octagon) the sum of all the exterior angles is the same regardless of the number of sides of the figure</u>:
°
And to find the measure of a single external angle (such as the angle
shown in the figure) we must <u>divide 360 ° by the number of sides n:</u>

and for the regular octagon, since it has 8 sides:

so the value of x is:
°
the measure of angle x is 45° which is the second option
Answer:
After simplifying, the first step in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.
Step-by-step explanation:
Answer: 45$
Step-by-step explanation:
Given
Principal 
Rate 
time 
Simple interest is given by

In the question, time is taken in months which is incorrect
Putting values
