Answer:
Step-by-step explanation:
6cos^2(x) + 7cos(x) +2 = 0
Call cos(x) = y to change this to something a little bit more familiar.
6y^2 + 7y + 2 =0
This equation is a quadratic. Solve it first. Then we'll go back to solving for cos(x)
This equation factors into 2 possible answers
(3y + 2)(2y + 1) = 0
3y + 2 = 0
3y = - 2
y = - 2/3
2y + 1 = 0
2y = - 1
y = - 1/2
Now let's start with
cos(x) = - 1/2
That means that x is in quadrant two or three.
cos-1(1/2) = 60 degrees.
Quad 2: x = 180 - 60 = 120
Quad 3: x = 180 + 60 = 240
Now cos(x) = - 2/3
cos-1(2/3) = 48.19
Quad 2: x = 180 - 48.19 = 131.81
Quad 3: x = 180 + 48.19 = 228.19
Answer:
Use the Triangle Sum Theorem (all three angles inside a triangle add up to 180 degrees)
A is 27, C is 90 degrees (right angle) , B is unknown.
Now add. 117+B=180
B is 63 degrees.
D is 31 degrees, E is 90 degrees. F is unknown.
Add.
31+90+F=180
121+F=180
F is 59.
Step-by-step explanation:
When we say right triangle, it is a triangle that has at least one angle equal to 90 degrees. In addition, an isosceles triangle can also be considered a right triangle given that it has two sides that are equal. In the given measurements above, the set is not considered as measurements of a right triangle. Therefore, the answer is FALSE. Hope this answer helps.
Answer:
308
Step-by-step explanation:
let the number be x
then,
94.248=30.6% of x
94.248=30.6/100 *x
94.248= 0.306x
94.248/0.306=x
308=x
so the number is 308.
Answer: a1=6
An = An-1 - 4
Step-by-step explanation:
N represent what number in the sequence you choose. So in the equation n-1 would be the umber in the equation subtracting 1 then subtracting the difference. The factor you are multiplying by in this sequence is -4. You find the difference by taking any number in the sequence and dividing it by the previous number in the sequence.
