This is a 30-60-90 triangle. In a 30-60-90 triangle, the longer leg is √3 times longer than the shorter leg, and the hypotenuse is twice the length of the shorter leg.
Longer leg: shorter leg * √3
Hypotenuse: shorter leg * 2
In the diagram, the shorter leg would be 18/2 = 9. x is the longer leg, so x would be 9√3. y is the hypotenuse, so y would be 9*2 = 18.
x (longer leg) = 9 * √3
y (hypotenuse) = 9 * 2 = 18
Cos(x)/(1+sin(x) + (1+sin(x))/cos(x)=
cos²(x)/cos(x)(1+sin(x)) + (1+sin(x))²/cos(x)(1+sin(x))=
cos²(x)+1+2sin(x)+sin²(x) /cos(x)(1+sin(x))=
2+2sin(x) / cos(x)(1+sin(x))=
2(1+sin(x)) / cos(x)(1+sin(x))=
2/cos(x)=
2*sec(x)
Find the ratio of two corresponding sides,
- if you start with the smaller figure, your answer will be less than one
- if you start with the larger figure, your answer will be greater than one
Answer:
Step-by-step explanation:
The equation of a circle is:
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius.
So here, the center is (-2, 4), and the radius is 5.
Here's a graph: desmos.com/calculator/5zqdaam1w2
Answer:
12 weeks
Step-by-step explanation:
It will take Jackie 12 weeks to buy her car because she earns 172 per week.
If you divide 2000 buy 172 you end up with 11.6
if you multiply 11 and 172 you get 1,892 which is just a little under 2000
if you add another week = 172$ you will arrive at 2064 which is enough to buy
her car.
Hope this helps.
