Answer:
(1, 5)
Step-by-step explanation:
When the center is the origin, the dilation factor multiplies each coordinate:
(2, 10) ⇒ (1/2)(2, 10) = (1, 5)
Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
You're given an angle, the adjacent side to that angle, and the hypotenuse. So use cosine.
Cosine = Adjacent / Hypotenuse
cos 37° = 48 / x
Multiply both sides by x.
x cos 37° = 48
Divide both sides by cos 37°.
x = 48 / cos 37°
If desired, use a calculator to evaluate.
x ≈ 60.1
Answer:
8
Step-by-step explanation:
The ratio of yellow balloons to the total is ...
... 2:(2+3+2) = 2/7
This fraction of 28 balloons is ...
... (2/7)·28 = 56/7 = 8 . . . . yellow balloons
Answer:
27
Step-by-step explanation:
Let the 5 digit palindrome formed from 1,2,3,4,5 be represented as XYZXY
Possible outcomes of X are 1,2,3 which give 3 possible outcomes
Possible outcomes of Y are 1,2,3 which also gives 3 possible outcomes
Possible outcomes of Z are 1,2,3 which will give 3 possible outcomes.
The total possible outcome = 3*3*3
= 27
