Mult. f(x) = x^4 by 2 will stretch the graph vertically by a factor of 2.
Thus, eliminate (a) and (b).
Mult. x by (1/4) will stretch the graph horiz. by a factor of 4. Thus, (c) is the correct answer.
Answer:
Step-by-step explanation:
Picture 1
In right triangle ABC,
Side AB is the opposite side of angle C.
Picture 2
In triangle MKL,
tan(∠M) = 
= 
= 
Option (1) is the answer.
Picture 3
In ΔXYZ,
sin(∠Z) = 
= 
For the length of XY we will apply Pythagoras theorem in ΔXYZ,
XZ² = XY² + YZ²
XY² = XZ² - YZ²
= (40)² - (32)²
XY = √576
= 24
sin(Z) = 
sin(Z) = 
Picture 4
In right triangle DEF,
Cos(D) = 
= 
= 
= 
Picture 5
In ΔABC,
tan(63°) =
tan(63°) = 
AB = 
AB = 
AB = 4.0762 ≈ 4 m
Option (3) will be the answer.
1. --> d
2. --> b
3. --> a
4. --> c
1 is d because that is the only piece of information that sounds like a given.
2 is b because we know that from the given, m∠1 is complementary to m∠2 and in the first problem, m∠1 + m∠2 = 90, they are added together. The definition of complementary angles is "Two angles with measures that, when added together, equal 90 degrees". Same thing with m∠3 and m∠2.
3 is a because since both of the problems equal 90 degrees, you can just take away the 90 and put an equal sign in between the two problems because they equal the same thing.
4 is c because you are subtracting m∠2 from the problems and ending up with just m∠1 = m∠3.
Hope this helps! :)
So you are given the amount he sold which is $7300, and you are given his commission rate so all you have to do is this
7300 x 0.12 = 876
Therefore, his amount of commission is 876 dollars
141.3 <em>is </em>the nearest tenth. 0.3 is in the tenths place.
