Answer:
5.7m
Step-by-step explanation:
the easiest way to solve for a side is to draw the question in a diagram (i have done this below). As it is a right-angled triangle and we know 2 of the side, we can use the Pythagoras theorem:
sides a and b are the two shorter sides.
side c is the hypotenuse (longest side)
as shown in the picture below, because we know both sides c and b, we need to change the equation around:
replace these sides with their numbers:
(remember that 32 equals side a squared therefore we need to square root 32 to find the length of side a:
the question says to round to the nearest tenth meter:
Missing side = 5.7m
I hope this was helpful :-)
The equation of a circle is given in the form
, where
(a, b) is the centre of the circle
r = radius
We have the centre of the circle (-27, 120)
We can work out the radius by modelling the radius as the hypotenuse of a triangle as shown in the diagram below
The equation of the circle is
![[x-(-27)]^2+[y-120]^2=15129](https://tex.z-dn.net/?f=%5Bx-%28-27%29%5D%5E2%2B%5By-120%5D%5E2%3D15129)
![[x+27]^2+[y-120]^2=15129](https://tex.z-dn.net/?f=%5Bx%2B27%5D%5E2%2B%5By-120%5D%5E2%3D15129)
Correct answer: option number 4
"Pedro has twice as many carrots as Martha:"
p = 2m
<span>
"If Pedro gives 5 carrots to Oliver,"
p - 5 (</span>Oliver is irrelevant.)<span>
"then Martha has 3 times as many carrots as Pedro"
</span>
m = 3(p - 5)
We know p in terms of m, so substitute it in:
m = 3(2m - 5)
Distribute the 3:
m = 6m - 15
Subtract 6m from both sides:
m-6m=-15
Combine variable terms:
-5m=-15
Divide out -5
m = -15/-5
m = 3
The answer is c) 3
275 beacues if u and 50 five times it would of been 250 but u an the five two the 50 and u and 55 five times and u get 275
