Answer:
second option : the side length was multiplied by 5.
Step-by-step explanation:
a = side length of the original square
A² = a×a
(a+5)×(a+5) = a² + 10a + 25
and that should be equal to a²×25
a² + 10a + 25 = 25a² ?
10a + 25 = 24a²
no, that is not true for all a
a×5 × a×5 = a²×25 = 25A²
this is the correct solution, as it is true for all a.
Answer:
50√3 ≈ 86.6 m
Step-by-step explanation:
The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.
The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...
Sin = Opposite/Hypotenuse
sin(60°) = (kite height)/(100 m)
kite height = (100 m)·sin(60°) = (100 m)(√3)/2
kite height = 50√3 m ≈ 86.6 m
For this case, the first thing we are going to do is define variables.
We have then:
x: number of birthday party goozy bags
y: total weight
We then have the following equation:
y = 150x + 200
For y = 6200 we have:
6200 = 150x + 200
Clearing x:
x = (6200-200) / (150)
x = 40
Answer:
there are 40 goody bags inside the box
Answer:
-8
slope is -8/1
m= -8
Step-by-step explanation:
