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KIM [24]
3 years ago
14

A right triangle has one angle that is 60°. The side adjacent to the 60° angle has a length of 7 inches. How long is the opposit

e side?
Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

The opposite side is 12.12

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2+2????
nordsb [41]

Answer:

2+2= 4

Step-by-step explanation:

just have a scenario like : you have two apples and your friend brings two more apples when you count them all, there are four apple

7 0
3 years ago
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Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area
harkovskaia [24]

Answer:

The area  of the cover for the hot tub must be:

  • <u>38 square feet</u>.

Step-by-step explanation:

First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:

  • <u>Area of a circle = pi * radius ^ 2</u> (you must know that the radius is half the diameter)

Since the diameter is mentioned, it can be replaced in the formula:

  • Area of a circle = 3.14 * (3.5 feet) ^ 2
  • <u>Area of a circle = 38,465 square feet. Approximately 38 square feet</u>.
7 0
3 years ago
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Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation
Musya8 [376]

Answer:

Step-by-step explanation:

we have the following differential equations

\frac{dx}{dt}=-2y\\\frac{dy}{dt}=-2x\\

by differentiating the second equation we have

\frac{d}{dt}(\frac{dy}{dt})=-2\frac{dx}{dt}\\\frac{d^{2}y}{dt^{2}}=-2\frac{dx}{dt}\\\frac{dx}{dt}=\frac{-1}{2}\frac{d^{2}y}{dt^{2}}

and we replace dx/dt in the first equation

\frac{-1}{2}\frac{d^{2}y}{dt^{2}}=-2y\\\frac{d^{2}y}{dt^{2}}-4y=0

and by using the characteristic polynomial

m^{2}+4=0\\m=\±2i

the solution is

y(t)=Acos(2t)+Bsin(2t)

and to compute x(t) we have

\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

x(0)=B=4\\y(0)=A=3

I hope this is useful for you

regards

4 0
3 years ago
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WHAT IS PIIIIIIIEEEEEEEE
alexdok [17]

Answer:3.14

Step-by-step explanation:Pi goes inf

4 0
3 years ago
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3/2+(-6/5) what does this equal? Please help
34kurt

Answer:

3/10

Step-by-step explanation:

The first thing that you need to do is to find the common denominator of the two fractions. The least common multiple of 2 and 5 is 10, so we can express the new equation as 15/10-12/10=3/10. Hope this helps!

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3 years ago
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