Answer:
The factored form is (sin x +2)(sin x-1)
Step-by-step explanation:
We have been given the trigonometric function 
We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'
Using the method, we can write sinx as 2sinx -sinx
Now, we group the first two terms and the last two terms
Now, we take GCF from each group
Factor out (sinx+2)
Therefore, the factored form is (sin x +2)(sin x-1)
Answer: 28.75° and 61.25°
Step-by-step explanation:
A complementary angle equals 90°.
Let the measure of the angle be a
Therefore, its complement will be:
= 90-a.
The complement of an angle is 25 less than 3 times the angles itself can be written as:
90-a = 3a - 25
90 + 25 = 3a + a
115 = 4a
a = 115/4
a= 28.75
Since the angle is 28.75°, the complement will be:
= 90° - 28.75°
= 61.25°
The angles are 28.75° and 61.25°
Answer:
A. If the side lengths are the same, then a triangle is not scalene.
Step-by-step explanation:
A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.
Simply stated, any polygon with three (3) lengths of sides is a triangle.
In Geometry, a triangle is considered to be the most important shape.
Generally, there are three (3) main types of triangle based on the length of their sides and these include;
I. Equilateral triangle: it has all of its three (3) sides and interior angles equal.
II. Isosceles triangle: it has two (2) of its sides equal in length and two (2) equal angles.
III. Scalene triangle: it has all of its three (3) sides and interior angles different in length and size respectively.
Let
the length and
the width. By the ratio of the sides:
Now, we'll find the perimeter p. We'll use the formula below:
The area of a rectangle is
. Then:
Answer: diameter = 2R = 28
Circumference = 2pieR
= 28pie
= 87.964594300514
Step-by-step explanation:
I used a calculator for this..
