Answer:
Choice D.
Step-by-step explanation:
The range is the set of all y-coordinates of the points in the graph.
The graph is a wavy function that has a maximum y-coordinate of 1 and a minimum y-coordinate of -1. The y-coordinates can also be all numbers between -1 and 1. Choice A. is only the two numbers -1 and 1. That is not correct since the range comprises the numbers -1, 1, and all numbers in between -1 and 1.
Answer: Choice D.
Answer:
39
Step-by-step explanation:
65/5=13
13x3=39
One bag of popcorn would cost $6.50
To solve this, we can set up equations:
28p+40c=$282
17p+20c=$160.50
To solve this system, we would need to make either the candy bars the same or the bags of popcorn the same. Since we are solving for bags of popcorn, we will make the candy bars the same:
20(28p+40c=$282)
40(17p+20c=$160.50)
Which would give you:
560p+800c=$5,640
680p+800c=$6,420
Subtract them:
(680p+800c=$6,420)
-(560p+800c=$5,640)
_________________
120p=$780
Now divide by 120 to get the price of one bag of popcorn:
120p=$780
_________
120
p=$6.50
transverse s at angle 135°
180° - 135° = 45°
Angle 2 is congruent to 45° because they're alternate exterior angles.
transverse t at angle 120°
180° - 120° = 60°
Angle 3 is congruent to 60° because they're alternate exterior angles.
One rule for exterior angles in triangles is that the exterior angle is equal to the sum of the two angles adjacent to the opposite angle of the exterior angle.
135° = angle 1 + 60°
angle 1 = 75°
120° = angle 1 + 45°
angle 1 = 75°
Therefore angle 1 is 75°,angle 2 is 45° and angle 3 is 60°
Answer:
<h2>
![a) \sqrt{500}](https://tex.z-dn.net/?f=a%29%20%5Csqrt%7B500%7D%20)
</h2>
Step-by-step explanation:
![10 \sqrt{5}](https://tex.z-dn.net/?f=10%20%5Csqrt%7B5%7D%20)
![\sqrt{ {10}^{2} } \sqrt{5}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7B10%7D%5E%7B2%7D%20%7D%20%20%20%5Csqrt%7B5%7D%20)
![\sqrt{5 \times {10}^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B5%20%5Ctimes%20%20%7B10%7D%5E%7B2%7D%20%7D%20)
![\sqrt{5 \times 100}](https://tex.z-dn.net/?f=%20%5Csqrt%7B5%20%5Ctimes%20100%7D%20)
![\sqrt{500}](https://tex.z-dn.net/?f=%20%5Csqrt%7B500%7D%20)