Think of PEMDAS, or Please Excuse My Dear Aunt Sally. Which is Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction in that order.
Answer:
−22.599a−32.513
Step-by-step explanation:
Distribute:
= (4.1) (−7.93) + (4.1) (− 4.39 a) + − 4.6 a
= − 32.513 + − 17.999 a + − 4.6 a
Combine Like Terms:
= −32.513 + − 17.999 a + − 4.6 a
= (− 17.999 a + −4.6 a) + (− 32.513)
= − 22.599 a + (− 32.513) = − 22.599 a − 32.513
Given:
CDEF is dilated by a scale factor of
to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of
to form the quadrilateral C'D'E'F'. So,

From the given figure it is clear that
. So,


Therefore, the measure of side E'F' is 9 units.
Answer:
x = 21.4
Step-by-step explanation:
We need to use the law of sins
sin 42 sin x
--------- = ----------
22 12
12 sin 42 = 22 sin x
12 sin 42 /22 = sin x
Taking the inverse sin of each side
sin^-1(12/22 sin 42) = sin^-1(sin x)
21.40637223 =x
To the nearest tenth
x = 21.4
Answer: 2x(3+4)
Step-by-step explanation: 2x represents the one scoop of food twice a day, and 3+4 represents her 3 cats and 4 dogs.