Answer:
<em> The distance from your eyes to the stage is 8.85 ft</em>
Step-by-step explanation:
Your distance to the stage is 6 feet
Your eyes are 6.5 feet tall
You need to find the distance of your eyes towards the stage.
This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.
<u>Observe the attached image.</u>
Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.
So, using the Pythagorean theorem we have:
Where
therefore:
Answer:
r=45,041
Step-by-step explanation:
455=(94)(22)^2/r
455=(94)(484)/r
455=45,496/r
455r=45,496
r=45,041
The answer is A.) 3x-7y and -7y+3x
This is due to "3x" implies the value is positive, or "+3x", and -7y remains -7y.
So, we have 3x-7y and -7y+3x.
I hope this helps!
Answer: C. No solution. ( top shaded. Middle not. Bottom shaded.
Step-by-step explanation:
Given inequalities
y< -1/3x+5 and
y> -1/3x-1.
If we draw graph for y< -1/3x+5 equation, it would be a dotted line and we would shade down the dotted line because we have less than < symbol there.
Now, if we draw graph for second inequality y> -1/3x-1, it would also be a dotted line and we would shade up of dotted line because we have greater than > symbol there.
Now, we can see that slopes of both dotted lines are same that is -1/3.
So, there would not be any common shaded region.
Therefore, there would not by any solution of the system of inequalities.
And correct option is C option.
C. No solution. ( top shaded. Middle not. Bottom shaded.
We know, length of arc = Ф/360 * 2πr
= 15/360 * (2 * 3.14 * 20)
= 1/24 * (125.6)
= 5.23
In short, Your Answer would be 5.23 Inches
Hope this helps!
