ANSWER
The simplest form of the ratio

is

EXPLANATION
The ratio given to us is

We can divide each term in ratio by the same number.
To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is

This implies that,

We simplify this to obtain,

The correct answer is C.
Alternatively,


This implies that,
The vector v is given by:
v = (7, 2) - (-5, 0)
v = ((7 - (- 5)), (2-0))
v = ((7 + 5), 2)
v = (12, 2)
Then, the angle is given by:
tan (theta) = 2/12
theta = atan (2/12)
theta = 9.46 degrees
Answer:
The direction angle of vector to the nearest tenth of a degree is:
theta = 9.5 degrees
Answer:
35 quizzes
Step-by-step explanation:
We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.
We do this by using the formula
which describes the number of ways we can choose
objects given
possible choices. So, if
and
, then:

Hence, the teacher can make 35 different geometry quizzes.
Answer:
1092 cm^2
Step-by-step explanation:
Formula = 2 * Height (Length + Width)
2 * 26 (15 + 6) = 1092