Answer:
There are an infinite number of fractions in between numbers on a number line.
Step-by-step explanation:
The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.
Answer:
Step-by-step explanation:
let the smaller square be A, and the side is a
larger square is B, the side is a+3
Area(A)=a^2
Area(B)=(a+3)^2
a^2+(a+3)^2=425 in^2
a^2+a^2+6a+9=425
2a^2+6a=425-9
2(a^2+3a)=416 we divide by 2
a^2+3a=208
we solve the quadratic function
we will get two roots, a(1)=13, and the negative answer we will ignore
a=13 and the side of the larger square is 13+3=16
a. θ = 36. 9°
b. θ = 114. 2°
<h3>How to determine the value of theta</h3>
a. We use the cosine identity
cos θ = adjacent/hypotenuse
Adjacent = 4cm
Hypotenuse = 5cm
cos θ = 4/ 5
cos θ = 0. 8
Now, we have the inverse of the cosine value
θ = cos^-1 (0. 8)
θ = 36. 9°
b. We use the tangent identity
tan a = opposite / adjacent
tan a = 3. 8/1. 7
tan a = 2. 23
a = tan^-1 ( 2. 23)
a = 65. 8
We have;
a + θ = 180 °; angles on a straight line
θ = 180 - 65. 9
θ = 114. 2°
Learn more about trigonometric identities here:
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Answer:
The first graph
Step-by-step explanation:
when x is equal to something it is always up
y = 2 would be #4
153000 x 0.124 = 18972 employees with some college experience
153000 x 0.841 = 128673 employees with bachelor degree
128673 - 18972 = 109701 more writers and authors with bachelor's degree than just some college experience