Answer:
The answer to your question is x = 3; y = 3
Step-by-step explanation:
Data
angle = 45°
Opposite side = x
Adjacent side = y
hypotenuse = 3√2
To solve this problem, use trigonometric functions.
1) To find x, use the trigonometric function sine.
sin Ф = Opposite side / hypotenuse
-Solve for Opposite side (x)
Opposite side = hypotenuse x sin Ф
-Substitution
Opposite side = 3√2 sin 45
-Simplification
Opposite side = 3√2 (1 / √2)
Opposite side = 3(1)
-Result
x = 3
2) To find y use the trigonometric function cosine
cos Ф = Adjacent side / hypotenuse
-Solve for Adjacent side
Adjacent side = hypotenuse x cos Ф
-Substitution
Adjacent side = 3√2 x cos 45
-Simplification
Adjacent side = 3√2 x (1/√2)
Adjacent side = 3(1)
-Result
y = 3
Answer:
A' would be at (0,-4)
B' would be at (-2,1)
C' would be at (-2,-3)
Step-by-step explanation:
A' would be at (0,-4)
B' would be at (-2,1)
C' would be at (-2,-3)
Answer:
x=7
Step-by-step explanation:
y=mx
5.5=m×11
5.5÷11=m
m=1/2
y=mx
3.5=1/2×x
3.5÷1/2=x
x=7
Answer: There are 90 snack boxes.
Step-by-step explanation:
Given : The number of kinds of fruits = 5
The number of kinds of herbal teas = 3
The number of kinds of flavors of wrap sandwich = 6
Then by using the fundamental principal of counting, the number of possible snack are there will be :_

Therefore, the number of possible snacks = 90
Answer:
you will need to subtract 15% from $12 and get 10.20 now times that by 5 and you will get $51.