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Soloha48 [4]
3 years ago
14

Please help me with this

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

Answer:

I believe the answer is 40 degrees

Step-by-step explanation:

they are vertical angles which mean they are equal

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Two construction companies are bidding against one another for the right to construct a new community center building in Bloomin
Crazy boy [7]

Answer:

so what is the question?

Step-by-step explanation:

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3 years ago
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On February 10, 1990, high tide in Boston was at midnight. The water level at high tide was 9.9 feet; later, at low tide, it was
Verizon [17]

Answer:

a) Model

H(t)=4.9cos(\frac{\pi}{6}t)+5

b) The tide will be at 6.5 ft high at 2:24 am (going down).

As the tide will rise again, the tide will be again at 6.5 ft high at 9:36 am (going up).

c) H(10 am) = 7.45

H(4 pm) = 2.55

Step-by-step explanation:

We can model this as a sine or cosine wave, for which we will calculate its parameters by the data given.

The model we will use is:

H(t)=Acos(\omega t+\phi)+B

t will be in hours, starting from midnight (t=0)

1) We know that at midnight happens the high tide. That means that

H(0)=Acos(\omega* 0+\phi)+B=A+B=9.9\\\\ \phi=0\\\\A+B=9.9

2) Six hours later (t=6) happens the low tide (0.1 ft)

H(0)=Acos(\omega*6)+B=-A+B=0.1\\\\\\ cos(\omega*6)=-1,\, \omega=\pi/6\\\\\\B=0.1+A=9.9-A\\\\2A=9.9-0.1\\\\A=9.8/2=4.9\\\\\\B=0.1+A=0.1+4.9=5

Now that we have calculated all the parameters, the model for the height of the tide is:

H(t)=4.9cos(\frac{\pi}{6}t)+5

On Feb 10, when is the water level 6.5 feet high?

H(t)=4.9cos(\frac{\pi}{6}t)+5=6.5\\\\cos(\frac{\pi}{6}t)=(6.5-5)/4.9=0.306\\\\t=\frac{6}{\pi}arcos(0.306)=2.4

The tide will be at 6.5 ft high at 2:24 am (going down).

As the tide will rise again, the tide will be again at 6.5 ft high at 9:36 am (going up).

On Feb 10, what is the water level at 10 am? 4pm?

At 10 am is t=10:

H(10)=4.9cos(\frac{\pi}{6}10)+5=4.9*0.5+5=2.45+5=7.45

At 4 pm, is t=12+4=16

H(16)=4.9cos(\frac{\pi}{6}16)+5=4.9*(-0.5)+5=-2.45+5=2.55

3 0
3 years ago
Which of the following equations is written in standard form?
matrenka [14]
Which of the following equations is written in standard form?

C. 20y=20
3 0
4 years ago
Which set of values could be the side lengths of a 30-60-90 triangle?
diamong [38]

Answer:

B

Step-by-step explanation:

In a right triangle, the three angles are 30, 60 and 90 respectively. Let the side opposite the 30 degree Angle be A. The hypotenuse is 2a.

According to Pythagorean theorem, the other side is equal to the square root of 4a -a = sqrt 3A.

And then we get: the side opposite the 30 degrees over the other side over the hypotenuse is equal to 1: sqrt 3:2.

So it will be B, 5, 10, 5sqrt3

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Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
otez555 [7]

Answer:

2n + 2

Step-by-step explanation:

The formula for nth term of an arithmetic progression is an = d*n+a1-d

In this example we have d = 2 (difference, +2 each time) and a1 =4 (first term of sequence).

an=d*n+a1-d\\an=2n+4-2\\an=2n+2

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