Answer:
The first amount is larger by 25% or .25a
Step-by-step explanation:
Lets increase a by 50%
The increase is .5a
So the new value is a + .5a = 1.5a
Now we will decrease the new value by 50%
decrease = .5 (1.5a) = .75a
The new value of a is 1.5a - .75a = .75a
a > .75a
a - .75a = .25a
a is bigger than .75a by .25a
Answer:
b
Step-by-step explanation:
vertical line through x at one
vertical lines have undefined slopes
can take two points to verify (1,1) (1,2) m=<u> 2-1</u>
1-1
<u> 1 </u>
0 undefined zero in denominator
Answer:
a) 240°
b) 30°
c) 225°
Step-by-step explanation:
To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.
a)
sin(θ) = -√3/2
θ = arcsin(-√3/2)
θ = -60°
Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).
b)
tan(θ) = 1/√3
θ = arctan(1/√3)
θ = 30°
c)
csc means cosecant, by definition:
csc(θ) = 1/sin(θ)
csc(θ) = -√2
1/sin(θ) = -√2
sin(θ) = -1/√2
θ = arcsin(-1/√2)
θ = -45° or 360-45 = 315° or 180+45 = 225°
Answer:
Part A: C. 4 to 1
Part B: 2
Step-by-step explanation:
<h3>Part A: </h3>
What is the ratio of the number of students receiving a C and the number of students receiving an A?
<u>As per table given:</u>
- 12 students received a C and 3 students received a A
The ratio C/A is:
The correct answer choice is:
<h3>Part B: </h3>
Complete the statement:
For every student receiving a D, ______ students received a B.
<u>As per table given:</u>
- 4 students received a D and 8 students received a B
<u>The ratio D/B is:</u>
<u>The statement is:</u>
- For every student receiving a D, 2 students received a B.
