Answer:
8 / 15
Step-by-step explanation:
By Pythagoras theorem,
OP² + PQ² = OQ²
OP² + 8² = 17²
OP² = 17² - 8²
= 289- 64
OP² = 225
OP² = 15²
OP = 15
Formula : -
Tan θ = Opposite side / Adjacent side
Here,
θ = Q
Opposite side = PQ = 8
Adjacent side = OP = 15
Tan Q = 8 / 15
$8x24=200
22% of 200 is 44 dollars
you said she gets paid 4 times a month so therefor 44x4 = 176
-16.8 = m(4)
-16.8 / 4 = -4.2
So the constant rate is -4.2.
Hope this Helps!!
for 6
in a
given
slope(m)=1
point=(2,-4)=(x1,y1)
we know
equation of straight line
y-y1=m(x-x1)
y+4=1(x-2)
y+4=x-2
therefore x-y-6=0 is the required equation
substituting with ax+by+c=0 we get
a=1
b= -1
c= -6
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