Answer:
s = 21.33*π in
Step-by-step explanation:
Given:
- The complete data is given in the figure (attached):
Solution:
- The bugs lands on the end of the wiper blade furthest to the pivot. The arc length (s) swept by a wiper in one cycle i.e θ = 120° would be given by:
s = 2*r*θ
- Where, r: The distance between the bug and the pivot = 16 in
θ : Angle swept in radians
- The distance travelled by the bug is s:
s = 2*(16)*( 120 / 180 ) * π
s = 21.33*π in
Answer:
See below in bold.
Step-by-step explanation:
This is the vertex form of a parabola which opens upwards.
To find the x intercept put h(x) = 0:
(x + 1)^2 - 4 = 0
(x + 1)^2 = 4
x + 1 = +/- 2
x = (-3, 0) an (1, 0) are the x-intercepts.
For the y-intercept we put x = 0
y = (0+1)^2 - 4 = -3
y-intercept = (0, -3).
The vertex is (-1, -4).
Axis of symmetry is x = -1.
The answer is <span>The </span>root<span> of a number x is another number, which when multiplied by itself a given number of times, equals x. For example the second </span>root<span> of 9 is 3, because 3x3 = 9. The second </span>root<span> is usually called the square </span>root<span>. The third </span>root<span> is susually called the cube </span>root<span> See </span>Root<span> (of a number). because then/</span>
Answer:
There were 172 guests that were children and 278 guests that were adults
Step-by-step explanation:
Step 1: State what is known
It is $25 per adult
It is $12 per child
The made $9014 dollars
There were 450 guests
Step 2: Define equations
25y + 12x = 9014 -----1
x + y = 450 ------------2
Step 3: Rearrange equation 2 for x
x + y = 450
x = 450 - y --------------3
Step 4: Substitute 3 into 1 for y and solve for y
25y + 12(450 - y) = 9014
25y + 5400 - 12y = 9014
13y = 3614
y = 3614/13
y = 278
Step 5: Substitute y = 278 into 3 to solve for x
x = 450 - (278)
x = 172
Therefore 172 children and 278 adults visited the museum
Answer:
90 beats per minute
Step-by-step explanation:
By looking at the graph, we see that exactly at second 6, the 9th beat occurs. We can take that to beats/min by multiplying that relation by 10 (since there are ten 6sec in one minute).
9beats every 6sec * 10 = 90beats/min