ration? You deserve better from your teacher.
The ratio of auditorium to theater seats is
1200:320
That's a perfectly valid answer and we could stop here if we weren't asked for lowest terms. Here I can see that 12 and 32 have a common factor of 4 and both these end in zero so 40 is a common factor:
1200:320 = 30:8
We can keep reducing by another factor of 2,
1200:320 = 30:8 = 15:4
There's our 15/4, which we get when we write the ratio as a fraction.
Answer: 15/4
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This question implies a ratio is just a fraction, which it isn't. Let's quickly note the differences.
A ratio can have zero on either side; 1:0 is a perfectly valid ratio but 1/0 is not a valid fraction. A ratio can't be all zeros -- that's not allowed.
A ratio can have more than two numbers. 3:4:5 is a common ratio that gives rise to a right triangle.
Like fractions, ratios can be reduced: For λ≠0,
λa : λb : λc = a:b:c
We have the following expression:
(2x ^ 3-12x ^ 2 + 10x-108) / x-6
Dividing the expression between x-6 we have:
quotient: 2x ^ 2 + 10
remainder: - 48
We can check the result then rewriting the expression:
2x ^ 3-12x ^ 2 + 10x-108
= (2x ^ 2 + 10) * (x-6) - 48
= (2x ^ 3 + 10x - 12 x ^ 2 - 60) - 48
= 2x ^ 3-12x ^ 2 + 10x-108
Division OK.
Answer:
The result of the division is:
quotient: 2x ^ 2 + 10
remainder: - 48
Answer:12
Step-by-step explanation: do you mean g+7-4 if you do then first you subtract 7 that gives us g-4=8 then you add 4 and that’s g=12
The length of the ladder is 34.33 feet if the electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 33 feet up. The ladder makes an angle of 74° with the ground.
<h3>What is a right-angle triangle?</h3>
It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
We have:
An electrician leans an extension ladder against the outside wall of a
house so that it reaches an electric box 33 feet up. The ladder makes
an angle of 74° with the ground.
The ladder, wall, and ground makes a right angle triangle.
From the sin ratio;
![\rm sin74 = \dfrac{33}{X}](https://tex.z-dn.net/?f=%5Crm%20sin74%20%3D%20%5Cdfrac%7B33%7D%7BX%7D)
Here is X is the length of the ladder.
We know sin74 = 0.961
After putting, we will get:
X = 34.329 ≈ 34.33 feet
Thus, the length of the ladder is 34.33 feet if the electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 33 feet up. The ladder makes an angle of 74° with the ground.
Learn more about the right angle triangle here:
brainly.com/question/3770177
#SPJ1
No it is not necessary that Kelvin will get one head and one tail every time
<u>Explanation:</u>
Probability in math is equal to favorable outcomes/total outcomes
The coin has two sides a head and a tail. When we flip a coin we have 50-50 possibility of getting a head and a tail. It means with every toss we have 1/2 possibility of getting head as well as tail.
But this does not mean that when we toss a coin twice we will get one head at one toss and one tail at another toss.
There is a possibility of getting both heads as well as both the tails.