Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.
I've added the image of the ticket as an attachment.
(a) The missing side length
From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.
So, we have:
This gives
Collect like terms
Divide both sides by 4
(b) The length of the gold lines
There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).
So, the length of the gold line is:
(c) The number of gold ink bottles.
--- number of tickets
The length of all gold line in the 200 tickets is:
---- convert to meters
Given that:
--- 1 bottle for 20 m
The number of bottles (n) is:
Hence, 2 bottles of gold ink are enough.
Read more about perimeters at:
brainly.com/question/6465134
In 1 minute the copy machine copies = 24
That means
In 60 seconds the copy machine copies = 24
First we need to convert 5 minutes and 30 seconds to seconds
Then
5 minutes and 30 seconds = (5 * 60) + 30
= 300 + 30
= 330 seconds
So
In 330 seconds the copy machine will copy = (24/60) * 330
= 4 * 33
= 132
So in 5 minutes and 30 seconds the copy machine will copy 132 copies.
D a rectangle because it has four sides easy for abcd
Answer:
Step-by-step explanation:
We are told that pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases.
We are provided two points as (0,1) and (23,3.3). To find function's formula we will find the line which passes through these points.
First of all we will find slope of this line.
Now we will find equation of this line in slope intercept form.
Our equation for this line will be .
Now let us write this for x as a function of p,
Therefore, our function's formula will be p(x) = 0.1x + 1.
Answer:
3.189 seconds
Step-by-step explanation:
You want f(t) = 0, so ...
0 = -16t^2 +13.4t +120
0 = t^2 -0.8375t -7.5 . . . . divide by -16
0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*
0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square
√7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root
t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875
It will take the rock about 3.189 seconds to hit the ground.
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* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...
(t^2 -2at +a^2) = (t -a)^2
Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.
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<em>Comment on the question</em>
We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...
