Answer:
x = -14
Step-by-step explanation:
x + 6 = -8
-6 -6
x = -14
Answer:
A) 13.4 feet
Step-by-step explanation:
You need to use the Pythagorean theorem:
L =
= 13,4 feet
Answer:
120°
Step-by-step explanation:
A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:
Perimeter of sector =
+ 2r
Where θ is the angle which forms the sector and r is the radius of the circle.
Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:
Perimeter of sector =
+ 2r

1. The area of the rhombus can be found by the formula
where
are rhombus's diagonals.
Note that
then
2. The diagonals of rhombus are perpendicular and are bisectors of each other. Then the triangle formed with halfs of diagonals is right triangles with legs

The hypotenuse of this triangle is the rhombus's side. By the Pythagorean theorem

3. The distance between the point of intersection of the diagonals and the side of the rhombus is the height of right triangle considered above.
Use twice the Pythagorean theorem to find this height:

where x is projection of leg 12 cm and h is height.
Subtract the first equation from the second:

Then

Answer: 