<h2>The cost is same for both the options if we purchase 27 photos</h2>
Step-by-step explanation:
Cost of a photo at a local store is $0.25 per photo. This cost can be modeled to be linear in number of photos as
.
Cost of photos purchased online is $0.15 per photo. However there is a shipping cost of $2.70. This can also be modeled to be linear in number of photos as
.
Let us assume both costs are the same if we purchase
photos.
So, 



∴ On purchasing 27 photos, cost for both the options is the same.
Answer:
The velocities after 739 s of firing of each engine would be 6642.81 m/s in the x direction and 5306.02 in the y direction
Step-by-step explanation:
- For a constant acceleration:
, where
is the final velocity in a direction after the acceleration is applied,
is the initial velocity in that direction before the acceleration is applied, a is the acceleration applied in such direction, and t is the amount of time during where that acceleration was applied. - <em>Then for the x direction</em> it is known that the initial velocity is
5320 m/s, the acceleration (the applied by the engine) in x direction is
1.79 m/s2 and, the time during the acceleration was applied (the time during the engines were fired) of the is 739 s. Then: 
- In the same fashion, <em>for the y direction</em>, the initial velocity is
0 m/s, the acceleration in y direction is
7.18 m/s2, and the time is the same that in the x direction, 739 s, then for the final velocity in the y direction: 
Answer:
x=9
Step-by-step explanation:
The expression is for the interior angle of the hexagon; one interior angle is equal to .
Since an interior angle of a hexagon measures 120°, we have the equality
.
Now it is just a matter of solving for
11x=120-21
11x=99
x=99/11
x=9
Answer: positive
Step-by-step explanation: it’s positive because if you multiply two negative numbers they cancel each other out and it makes a positive number
Answer:
B. 196.5
Step-by-step explanation:
First lets fine the semi circle's area.
The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.
The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14
(3.14)(8)²=200.96 and half of that is 100.48
The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.
The formula for area of an triangle is A=1/2bh
We can see that the base is 16 and height is 12, and now plug it in.
A=1/2(16)(12)= 96.
The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.