We will represent the length of the rectangle as 
and the width as 
.
From this problem, we can say 
. We can also deduct an equation from the second sentence:
(from substitution)
Using this value for , we can find :
The length of the rectangle is 23 cm and the width of the rectangle is 18 cm.
Hi! I'm happy to help!
Point slope form states that y-
=m(x-
). m represents your slope (rise/run) and and represent your first y and x points, and y and x represent your second y and x points. We already have our equation here:
y - 4 = 1/4(x- 8)
Now, let's dive into what slope-intercept form is. Slope intercept form states that y=mx+b. m represents our slope, b represents our y intercept, y represents a y point, and x represents the corresponding x point.
Since we know our m, we can solve for b, by using our other numbers. Let's use our first set of coordinates.
4=1/4(8)+b
4=2+b
2=b
Now our second set to double check:
2=1/4(0)+b
2=0+b
2=b
We know that b must equal 2, so our equation must be y=1/4x+2, which is option 3.
<u>You should pick option 3.</u>
<u>(y-intercept is where the line hits the y-axis(when x=0). We could've used our second coordinates (0,2), where x equals 0 to know that 2 is the y-intercept (b). This shortcut only works on specific problems though.)</u>
I hope this was helpful, keep learning! :D
question 6,
Answer : 35.7 degree from north
Step-by-step explanation:
Bearing is angle w.r.t the north.
To calculate this angle we need the angle of the triangle in the diagram.
We know two sides of the triangle the base (18) and Perpendicular(25).
Tan(x) = 25/18
arctan(25/18) = 54.24 deg
Subtracting from 90 to get angle w.r.t north 90-54.24 = 35.7
Question 7,
Solution: 33.12
Explaination
calculate the length of the straw within the glass.
It makes a right angle triangle with the glass, where the length is the hypotenuse.
the base is 9 (radius *2 = 4.5*2)
using Cos(x) = base / hypotenuse
cos(72) = 9 /Hypotenuse
Hypotenuse = 9/cos(72)
Hypotenuse = 29.12
total length is hypotenuse + the length protruding out(4)
29.12 + 4 = 33.12
Answer:
x=70
Step-by-step explanation:
angles of a triangle are always 180
180-40=140
140=2x
divide both sides by 2
70=x
