Answer:
64
mm² or approximately 201.06 mm²
Step-by-step explanation:
If the diameter is 16 mm, the radius will be 8 mm.
Use the circle area formula, A = r², where r is the radius. Plug in 8 as r:
A = r²
A = (8²)
A = 64
So, the area of the circle is 64 mm² or approximately 201.06 mm²
Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
<h3>What is the Tangent Ratio?</h3>
Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.
The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.
Find the adjacent side of each right triangle using the tangent ratio:
∅ = 32
Opposite side = 52 ft
Adjacent side = x
Plug in the values into the tangent ratio:
tan 32 = 52/x
x = 52/tan 32
x = 83.2 ft.
Distance across the suspension bridge = 6(83.2) = 499.2 ft.
Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.
Learn more about the tangent ratio on:
brainly.com/question/4326804
Answer:
D.
Step-by-step explanation:
You know that 0.25 went to 2.00. That means that it's a 1.75 jump. In order to jump the other two prices up and keep the ratio the same, you must also jump them 1.75.
0.05 + 1.75 = 1.80
0.10 + 1.75 = 1.85
To double check the ration we can look back on the original. 0.05 to 0.10 is a scale of 0.05. 0.10 to 0.25 is a scale of 0.15
Then we look at our new one. 1.80 to 1.85 is a scale of 0.05. 1.85 to 2.00 is a scale of 0.15.
The ratios stayed the same, so this is the correct answer.
I hope this helped :)
Answer:
third option is the correct answer
go with the names of the triangle
the triangles are HIJ and LMN
so the ratios will be accordingly
Do cross multiplication
<u>6</u> = <u>x</u>
18 12
Now cross multiply
(6)(12) = (18)(x)
72 = 18x
Divide both sides by 18
<u>72</u> = <u>18x</u>
18 18
4 = x
So tMei can complete 4 problems in 12 minutes.
