Use x to represent the first two angles. If the third angle is 3 times as large as the first, it can be represented as 3x. So, your angles are x, x, and 3x. These need to all add to 180 degrees, since it’s a triangle.
x + x + 3x = 180 —> Simplify the left side.
5x = 180 —> Divide by 5.
x = 36
So the first two angles are 36 degrees, and the third angle is 3 times that, which is 108 degrees.
Answer:
50.24
Step-by-step explanation:
Area = r^2 x 3.14 (pi)
Radius = 8 ÷ 2 = 4
4² = 16
16 x 3.14 = 50.24
Area = 50.24 cm ²
4) Part A draw half of a trapezoid
Part B say that they are four sided shapes with a nintey degree angle
5: answers in this order: line, line segment, ray, point
Answer:
X = 23
Step-by-step explanation:
oppsosite angles are equal so the brackets equal 90 degrees like the right angle opposite.
90-21 = 69
69 / 3 = 23
x = 23
The two parabolas intersect for

and so the base of each solid is the set

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas,
. But since -2 ≤ x ≤ 2, this reduces to
.
a. Square cross sections will contribute a volume of

where ∆x is the thickness of the section. Then the volume would be

where we take advantage of symmetry in the first line.
b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

We end up with the same integral as before except for the leading constant:

Using the result of part (a), the volume is

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

and using the result of part (a) again, the volume is
