Answer:
radius = 13
Step-by-step explanation:
Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.
First let's find the shorter leg.
<u>Equidistant Chords Theorem</u>
Two chords are congruent if they are equidistant from the center.
Chords in the picture are congruent and that means that the distance from the center to each of them is the same!
Let's calculate the distance. But to get the distance we have to find x first.
Since the distances are the same:
Therefore:
Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.
Therefore:
All that is left is the Pythagorean Theorem in the right triangle.
<u>Pythagorean Theorem</u>
Hypotenuse in our case is the radius.
Answer: it is 1/6
You can solve by saying, 1 out of 6 in each tray is red, so my fraction should be 1/6.
It doesn't matter the amount of trays because the pattern is always the same.
But if you want to check it out you can do it in this way.
You know there is 1 red color per tray, if there are 20 then you'd have 20 of them, in each tray there are 6 colors so the total is 120.
Now you solve it if there are 20 red colors out of 120 them the answer is 20/120, thus you get 1/6
Step-by-step explanation:
Answer: 1.30 every km
Step-by-step explanation:
to find the speed per km, you do 41 divided by 31.
41/31= 1.30 per km (rounded)
9514 1404 393
Answer:
y = (5/27)(x -7)^2 -5/3
Step-by-step explanation:
Use the given points to find the unknowns in the equation.
If the axis of symmetry is x=7, then the equation can be written in the form ...
y = a(x -7)^2 +b
Filling in the two point values, we have two equations:
0 = a(4 -7)^2 +b ⇒ 9a +b = 0
5 = a(1 -7)^2 +b ⇒ 36a +b = 5
__
Subtracting the first equation from the second, we have ...
(36a +b) -(9a +b) = (5) -(0)
27a = 5
a = 5/27
Substituting that value into the first equation gives ...
9(5/27) +b = 0
5/3 +b = 0
b = -5/3
So, the quadratic can be written in vertex form as ...
y = (5/27)(x -7)^2 -5/3
Answer:
41 people
Step-by-step explanation:
Clinton hosted an end-of-year party. He expected 5 guests, but 8 times as many showed up. How many people attended?
The amount of guest that showed up can be calculated as:
5 guest × 8 times the number of guests
= 40 guests
The number rod people that attended the end of the year party = 40 guest + Clinton
= 41 people
