Answer:
Step-by-step explanation:
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The length side AB is 64 ft , Option D is the correct answer.
<h3>What is a Right triangle ?</h3>
A triangle that has one angle 90 degree is called Right angled Triangle.
From the figure it can be seen that
The triangle CDE is a right Triangle
Applying Pythagoras theorem to find the length of CE
CE² = 12² + 16²
CE = 20 ft
As both the triangles are similar therefore the ratio of the sides will be equal
BC : CD = AC : CE
48 / 12 = AC / 20
AC = 80ft
As Triangle ABC is also a right angled triangle
Applying Pythagoras theorem to find the length of AB
AC² = BC² +AB²
6400 = 48² +AB²
AB² = 4096
AB = 64 ft
Therefore Option D is the correct answer.
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There were 16 total storms, meaning our denominator is 16. Since 8 grew into hurricanes, we can leave that alone. Since 5 out of 16 storms were major, 5 is our numerator.
5/16 storms were major because 8 were hurricanes and the other 3 were other kinds of storms. As a decimal conversion, about 31% of these storms were major.
How to find the percentage conversion:
Step 1: We take the fraction 5/16.
Step 2: Since our numerator is 5 and the default denominator is a maximum of 100, we can multiply 5 by 100.
5 x 100 = 500
Step 3: We can divide 100 by 16 to get our decimal conversion.
100 divided by 16 will give us 31.25, which also is representative of 31 and 1/4 added together.
Your final answer: With there being 16 storms, 5 of these storms are major (5/16). In terms of if there were 100 total storms, about 3/10 of these storms were major.
Answer:
Step-by-step explanation:
You are multiplying the identity matrix by another matrix.
The effect of multiplying
1 0 0
0 1 0
0 0 1
by another matrix of the same dimensions is nil...nothing happens. So, the answer to this problem is the first matrix itself. Just copy it down.
The top of the escalator exists 9 feet far from the ground floor.
<h3>
How to estimate how far is the top of the escalator from the ground floor? </h3>
Let h denote the distance between the top of the escalator from the ground floor.
We have existed given that the angle of depression from the top of the escalator to the floor stands 36.84°, and the escalator exists 15 feet long.
The side h exists opposite side and 15 feet side exists hypotenuse of a right triangle.
8.993737 = h
Therefore, the top of the escalator exists 9 feet far from the ground floor.
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