The linear speed of one of the cars is 7.75 feet per second
The cars (seats) of a Ferris wheel are positioned 74 feet from its center.
The radius, r = 74 feet
The Ferris wheel makes 4 revolutions every 4 minutes
Number of revolutions per minute = 1
Angular speed, w = 1 rev/min
Angular speed, w = 0.10472 rad/sec
The relationship between the linear speed (v), and the angular speed (w) is:
v = wr
Substitute w = 0.10472 and r = 74 feet into the formula:
v = 0.10472 x 74
v = 7.75 feet per second
The linear speed of one of the cars is 7.75 feet per second
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Answer:
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
Step-by-step explanation:
Find the height of the tree
Let
h ----> the height of the tree
we know that
The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)
so
tan(50°)=h/50
h=(50)tan(50°)=59.6 ft
therefore
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
The phrases that can be represented as the algebraic expression, 3n - 3 are: <em>Option 3 and Option 5.</em>
Let's translate each of the given phrases to algebraic expressions in order to determine which of them can be represented as 3n - 3.
<em>Option 1:</em>
3 fewer than n is represented as, n - 3
<em>Option 2:</em>
difference between n and 3 is represented as, n - 3.
<em>Option 3:</em>
3 times n is 3n
3 fewer than 3n is represented as 3n - 3.
<em>Option 4:</em>
product of 3 and n is represented as 3n.
<em>Option 5:</em>
3 less than 3n is represented as 3n - 3.
Therefore, the phrases that can be represented as the algebraic expression, 3n - 3 are: <em>Option 3 and Option 5.</em>
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Learn more about algebraic expression on:
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Y²/58² + x²/b² = 1
<span>(0,58), (-21,29), and (21,29) are points on the ellipse. </span>
<span>29²/58² + 21²/b² = 1 </span>
<span>¼ + 21²/b² = 1 </span>
<span>21²/b² = ¾ </span>
<span>4·21²/3 = b² </span>
<span>b² = 588 </span>
<span>y²/3364 + x²/588 = 1</span>
W = 14 •9
which means w= 14×9