A) Linear velocity, v = ωr ω = Angular velocity, r = radius.
<span>ω = 5 revolutions per minute. 1 minute = (1/60) hour. </span>
<span>= 5*2π radians / (1/60) hour = 600π radians per hour π = 3.14 </span>
= 600*3.14 = 1884 radians / hour
<span>but radius, r = 10 feet, 5280 feet = 1 mile, 10 feet = (10/5280) mile </span>
Linear velocity, v = ωr
<span> v = 1884 radians / hour * (10/5280) mile </span>
v ≈ 3.568 miles / hour<span />
Let the number of frogs in the Blue Pond be x
Blue Pond = x
There were 26 more frogs in Green Pond than in Blue Pond
Green Pond = x + 26
There were 80 frogs altogether
x + x + 26 = 80
2x + 26 = 80
2x = 80 - 26
2x = 54
x = 27
x + 26 = 27 + 26 = 53
There were 53 frogs in the Green Pond originally.
7.81 7.14 7.081 7.022
look at the first number thier all a 7 so then move to the next number 8 is bigger than 1 and 0 so 7.81 is first biggest then 1 is bigger than 0 so 7.14 is second and then look at the third number and 8 is bigger so 7.081 is next and last is 7.022
If you write out the numbers, the E. Coli is 0.0000005 m wide while a hair is 0.000017. Less zeros after the decimal mean it is a larger number because it is closer to 1. So, a human hair is wider.
The value ∠y is 40⁰. So the correct option is option B
<h3>What is Congruency of triangle?</h3>
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Here, given that; ΔUVW ≅ ΔXYZ
∠u = ∠x = 70⁰
∠v = ∠y = a⁰
∠w = ∠z = 70⁰
We know that,
Sum of angles of a triangle is 180⁰.
∠x + ∠y + ∠z = 180⁰
70⁰ + a⁰ + 70⁰ = 180⁰
a⁰ + 140⁰ = 180⁰
a⁰ = 180⁰ - 140⁰
a⁰ = 40⁰
Thus, the value ∠y is 40⁰.
Learn more about Congruency of triangle from:
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