Answer:
We can use trigonometric ratios to solve this

Using a cosine calculator we find that cos(24)=0.91354546 and 0.91354546 x 5=4.56
GH=4.5677273 or 4.57 rounded
Step-by-step explanation:
The numbers are ordered, such that the first number (the largest one) is:
(5 + 1/2)
And the last number (the smaller one) is (5 + 1/3). Only by knowing this, we will see that the correct options are A and C.
We want to see which of the following numbers is not on the list:
A) √25
B) 5.45
C) 5 12
D) 5.34
One of these numbers can only be in the list if it is larger than (5 + 1/3) and smaller than (5 + 1/2).
To see this easier, let´s rewrite both of these:
5 + 1/2 = 5 + 0.5 = 5.5
5 + 1/3 = 5 + 0.33 = 5.33
Then if a number is smaller than 5.33, the number can't be in the list.
Here we can see two numbers that are smaller than 5.33
These are:
Option A) √25 = 5 < 5.33
Option C) 5.12 < 5.33
And there is no number larger than 5.5
Concluding, the numbers that are not in Demichael's list are:
√25 and 5.12
If you want to learn more, you can read:
brainly.com/question/7487419
Answer:y-7 = -2 ( x-4)
Step-by-step explanation:
We know the slope is -2. Thus, our equation is simply
y-7=-2 ( x-4)
Answer:
r = p(-b/a)
Step-by-step explanation:
Let p(x) = q(x)(ax + b) + r(x) where q(x) is the quotient when p(x) is divided by ax + b and r(x) is the remainder.
Since ax + b is a first degree polynomial, r(x) is one power less than ax + b is is just a constant, r.
So, p(x) = q(x)(ax + b) + r
Now, p(x) = r when q(x)(ax + b) = 0
since q(x) ≠ 0, ax + b = 0 ⇒ ax = -b ⇒ x = -b/a
⇒ p(x) = r when x = -b/a
So, r = p(-b/a)
So, the remainder when a polynomial function p(x) is divided by a first degree polynomial ax + b is p(-b/a)
Probability someone chosen at random will not have brown hair = 1/6
<h3>Probability of two variables</h3>
The number of girls = 15
The number of boys = 15
The total number of children = 15 + 15 = 30
Probability that someone chosen at random will have a brown hair, P(Brown hair) = 5/6
P(Brown hair) + P(Not Brown hair) = 1
5/6 + P(Not brown hair) = 1
P(not brown hair) = 1 - 5/6
P(not brown hair) = 1/6
Therefore, if someone is chosen at random, probability that they will not have brown hair = 1/6
Learn more on probability here: brainly.com/question/27899440
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