Answer:
The answer is below
Step-by-step explanation:
Some of the Properties of a Triangle:
1. All interior angles combined is 180°
2. It has three sides, three angles, and three vertices
3. The combined length of any of the two sides is higher than the third sides
Some of the Properties of a Square
1. It has four sides and they are all equal
2. Each of its angles is at 90°
3. Its diagonals are equal
4. The diagonals bisect at 90°
Some of the Properties of a Rectangle
1. It has opposing sides that are parallel and equal to each other
2. Each of the interior angles is at 90°
3. The length of the diagonals is equal
4. It is quadrilateral
Answer:
4
Step-by-step explanation:
:)
A car travels - 1/6.
in 3/5 of an hour -
60 / 5 - 12 x 3 = 36.
so in 36 minutes.
4/5 = 36+12 = 48 minutes.
2/6.
5/5 (full hour ) = 60 minutes.
3/6.
Car can travel - 3/6.
Answer:
6 days
Step-by-step explanation:
First we have to write an expression that represents Johnny's and Sal's banking plans.
Johnny: He has an initial value of $100 and that value will increase by $15 every day. So the expression looks like: 15x + 100, where x is the amount of days it's been.
Sal: An initial value of $250 and the value will decrease by $10 everyday. The expression looks like: -10x + 250, where x is the amount of days it's been.
To find how many days they have until they have the same amount of money in the bank, we can set the expressions equal to each other and solve for x:
15x + 100 = -10x + 250
Add 10x to both sides to isolate the x on one side of the equation:
25x + 100 = 250
Subtract 100 from both sides of the equation to isolate 25x:
25x = 150
Divide both sides by 25 to find the value of x:
x = 6
Since x represents the amount of days it's been, x = 6 means that it will take 6 days for their bank accounts to have the same amount of money in them.
Hope this helps :)
Answer:
a. 0.9 Hz b. 0.37 Hz
Step-by-step explanation:
The frequency of the simple pendulum f = (1/2π)√g/l where g = acceleration due to gravity and l = length of pendulum
a. Find the frequency of a pendulum whose length is 1 foot and where the gravitational field is approximately 32 ft/s2
To find f on Earth, g = 32 ft/s² and l = 1 ft
So, f = (1/2π)√(g/l)
f = (1/2π)√(32 ft/s²/1 ft)
f = (1/2π)√(32/s²)
f = (1/2π)(5.66 Hz)
f = 0.9 Hz
b. The strength of the gravitational field on the moon is about 1/6 as strong as on Earth.. Find the frequency of the same pendulum on the moon.
On the moon when acceleration due to gravity g' = g/6,
f = (1/2π)√(g'/l)
f = (1/2π)√(g/6l)
f = (1/2π)√[32 ft/s²/(6 × 1 ft)]
f = (1/2π)√(32/s²)/√6
f = (1/2π)(5.66 Hz)/√6
f = 0.9/√6 Hz
f = 0.37 Hz
