Answer:
4 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A =
h(a + b)
where h is the height and a, b the bases
here A = 46, a = 6 and b = 17, hence
46 =
h(6 + 17) ( multiply both sides by 2 )
92 = h(23) ← divide both sides by 23 )
h =
= 4 units
Answer:
5.73cm
Step-by-step explanation:
Given parameters:
Circumference of the circle = 36cm
Unknown
Length of the radius = ?
Lets represent the radius by r
Solution
The circumference of a circle is the defined as the perimeter of a circle. The formula is given as:
Circumference of a circle = 2πr
Since the unknown is r, we make it the subject of the formula:
r = 
r =
=
= 5.73cm
The center of the circle is at (-2, 0). The radius is 5 units. The equation for a circle, in standard form is
.
We have our h and k from the center. h is the x coordinate and k is the y coordinate. The radius is 5. That means that the circle's equation, before simplifying, is
. After simplifying it is
. That's A and B. For C, we will simply pick points on the axes. One point on the circle is at (3, 0); another point is at (-2, 5); a third point is at (-7, 0). For D, the area of a circle is
.
For us that looks like this
. In terms of pi the answer is 25 pi, but in decimal form to the nearest square unit, it's 79 units squared.
It is 5 ft east and 9 ft north of its starting place, so the distance can be found by the Pythagorean theorem to be the root of the sum of the squares of the east and north distances:
... x = √(5² +9²) ft = √106 ft ≈ 10.3 ft