Answer:
D
Step-by-step explanation:
Factor out 3 x from the expression
3x X (1+3y^3+4x^4)
Answer:
b 2/7
Step-by-step explanation:
Because there is a 6/21 chance and 2/7=6/21
A theorem is defined as an existing fact that was proved to be correct through experimentation or mathematical reasoning. In this case, we can say that a theorem can be proven by geometric proof as it is required for people to consider it as a fact. Answer is true.
The unit rate in the equation is 20.
Option C) is the correct answer.
<u>Step-by-step explanation</u>:
Step 1 :
In the given equation y = 20x
where,
x ⇒ total number of hours for tutoring
20 ⇒ the cost per hour of tutoring
y ⇒ the total cost for total hours of tutoring
Step 2 :
Unit rate refers to the value per hour.
Here, the cost for 1 hour of tutoring is $20.
∴ The unit rate is $20 per hour of tutoring.
The height of the skyscraper to the nearest tenth is 234. 95 meters.
<h3>How to determine the height</h3>
From the information given, we have:
- angle of elevation = 32°
- length of the base, adjacent side = 376 meters
- height of the skyscraper, opposite side = x meters
To determine the height of the elevator, let's use the tangent identity
We have that;
tan θ = opposite/ adjacent
The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper
Now, substitute the values, we have;
tan 32 = x/ 376
cross multiply
x = tan 32 × 376
x = 0. 6249 × 376
x = 234. 95 meters
We know that the 'x' represents the opposite side and thus the height of the skyscraper
Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.
Learn more about angle of elevation here:
brainly.com/question/19594654
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