Sandwiches are $5.25 Bowls are $3.50
4x+5y=38.50
3x+9y=47.25
Answer:
The length of the chord is 16 cm
Step-by-step explanation:
Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions
From the first part of the question, we can get the radius of the circle
The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle
Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
r^2 = 8^2 + 6^2
r^2= 64 + 36
r^2 = 100
r = 10 cm
Now, we want to get a chord length which is 6 cm away from the circle center
let the half-portion that forms the right triangle be c
Using Pythagoras’ theorem;
10^2 = 6^2 + c^2
c^2 = 100-36
c^2 = 64
c = 8
The full
length of the chord is 2 * 8 = 16 cm
Answer: 1/2
When looking at a graph, you need to follow the formula rise/run. This means that between two points, you need to find the distance up and down/left and right.
Looking at points (0,2) and (2,3), I see that the second point is 1 point higher. Let’s add that in for rise.
Rise/run
1/run
Now for run. The second point is 2 points to the right of the first one. Let’s add that in.
1/2
This is your answer! Hope this helps comment below for more questions :)
Answer:
7.5 seconds
Step-by-step explanation:
Thus, the time required for the object to return to its point of departure is 7.5 seconds.
Answer:
a = -1, b = -2.5
Step-by-step explanation:
Rule for the dilation of a vector 
by a scale factor of k is,
(x, y) → (kx, ky)
BY using this rule for a vector 
by a scale factor of 2.5
→ 
Followed by the rotation by 90° Or 
radians,
Rule for rotation of a vector by 90° is,
(x, y) → (-y, x)
By this rule vector will become,
→ 
If we represent this vector by 
,
Then a = -1 and b = -2.5 will be the answer.
