(-5, 12). Cosecant is the reciprocal of sine. Since csc theta =13/12, sin theta=12/13. We can narrow down to two angles, one in first quadrant and one in second quadrant. We are also given sec theta=-13/5, so cos theta=-5/13. Thus the angle is in the second quadrant. tan theta=1/cot theta=-12/5, so point (-5, 12) is on the ray.
Answer:
- <em><u>The slope is $ 10 per flower bundle.</u></em>
Explanation:
The <em>slope</em> of a linear function is the ratio of the change in the dependent variable over the change in the independent variable.
In the problem, the independent variable is the number of flower bundles and the dependent variable is the amount charged.
If you call n the number of flower bundles and c(n) the amount charged per order, the amount charged per order is modeled by linear function:
Where, 10 is the amount charged in dolars per flower bundle, and 15 is the delivery charge per order.
Then, for every increment in the number of flower bundles (n) the amount charged will increase in $ 10. That is the slope
- slope = $ 10 / flower bundle.
Answer:
x+5x=84
6x=84
6x/6=84/6
x=14
so therefore
14+5(14)
14+70
The numbers are 14 and 70
Using Sine.
Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2*a = 6√3 * √3
2a = 6 * √(3*3)
2a = 6*3
a = 6*3/2
a = 3*3 = 9
Option E.
Hope this helps.
Answer:
3x=x+30
2x=30
x=15
3(15)=45
15+30=45
45 for both
hope that answers your question
Step-by-step explanation:
