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!
If we were to put a distinguishing mark on a specific random place on the tire, right at the point where the tire meets the ground for example, when the car starts moving, the tire has made one full revolution when that same mark meets the ground again. That is also known as the circumference of a circle...one time around the circle. The formula for the circumference of a circle is
.
We are given a radius of 13 inches and are told to use 3.14 for pi. That means that our formula looks like this:
and C = 81.6 inches, That's how far the tire travels every time it turns exactly once.
Answer:
The answer to the question provided is 14.4 ft.
Step-by-step explanation:
We can solve this using proportion!
Answer:
C. parallelogram, because opposite sides are congruent and adjacent sides are not perpendicular
Step-by-step explanation:
Quadrilateral is referred to any four sided figure. Examples are; square, trapezium, rectangle, rhombus, kite ,parallelogram etc.
The given coordinates forms a quadrilateral ABCD with equal opposite sides and non-perpendicular adjacent sides. This is related to a quadrilateral known as parallelogram.
Therefore, the correct option is parallelogram, because opposite sides are congruent and adjacent sides are not perpendicular.
Answer:
x = (22/17), y= (79/17)
Step-by-step explanation:
Just substitute x = 2y - 8 into y = 9x - 7 and solve.