The point (x,y) = (-1.5) is in the second quadrant. So the best way is to draw a point in the xy coordinate plane and a line segment at the origin (0,0).
Now draw a line from (-1.5) to the x-axis. What you should have is a right triangle with the following coordinates: (0,0); (-1.5); (-1.0).
If you look at a right triangle, it has a small leg on the x-axis. Its length is 1 unit. The larger leg is 5 units long. The length of the hypotenuse can be calculated using the Pythagorean theorem. c2 = a2 + b2, the length of hypotenuse c is √26.
In summary,
- length of short leg = 1 unit
- length of long leg = 5 units
- length of hypotenuse = √26 units
Let x be the length of the leg on the x axis (short leg). Let
y be the length of the other leg (long leg).
Let r be the length of the hypotenuse.
x = -1
y = 5
r = √26
Now we can calculate the trigonometric identity:
sin θ = y/r
cos θ = x/r
tan θ = y/x
cot θ = x/y
seconds θ = r/x
csc θ = r/y
Learn more about Pythagorean theorem brainly.com/question/343682
8449
Answer:
She sold 5.775 kilograms of pears at the farmer's market.
Step-by-step explanation:
Let's first determine the information that the question gives us, and what we need to find.
Given:
The farmer sold 7.7 kilograms of apples and pears
1/4 of the weight is apples
The rest of the weight is pears
Find:
Kilograms of pears that the farmer sold
Start by finding the fraction of the whole weight that was pears...

Now, find 3/4 of 7.7...

She sold 5.775 kilograms of pears at the farmer's market.
Answer:
200%
Step-by-step explanation:
If $40 is 100% then multiply it by 3 to get $120