Answer:
The sum of their measures is 180°.
A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of a rectangle
Let's first draw the picture. The diagonal of your rectangle will be a line that goes from the top left corner of your rectangle to the bottom right corner. This line is the hypotenuse of your RIGHT triangle. The problem tells us that the hypotenuse forms a 30 degree angle with on of the sides. We can pick either side, but I chose to pick the side that includes the left side of the rectangle. Now, we have a 30-60-90 right triangle. The base of the triangle is opposite the 30 degree angle, so it will equal x. The hypotenuse is 2x and the height is x√3.
SO, since we know the hypotenuse is 8cm, we know: 8=2x and x=4; x√3=4√3
The area of a rectangle is b*h, so we multiple 4√3*4 to give us 16√3
Hope that helps!
Answer:
-9/14 so the answer is B
Step-by-step explanation:
Hope this helps
It's answer is option A.
As the area of circle is given which is 58 square feet, we are to find circumference of the circle.
We know that area = π r^2
Where π = 3.14 and r is radius of the circle
So it will become
3.14 x r^2 = 58
r^2 = 58/3.14
r^2 = 18.4713375796
If we take square root of both sides, we get
r = 4.297829403268585 feet
By using this value of r we can find circumference of the circle,
As,
Circumference = 2 π r
It will become
2 x 3.14 x 4.297829403268585
26.99036
Which is very close to the option A.