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Musya8 [376]
3 years ago
10

Number 4 by the way.

Mathematics
2 answers:
Mrac [35]3 years ago
4 0
F. Buying 4 bottles of Fresh All.
Viefleur [7K]3 years ago
3 0
I hope this helps you



ultra clean = 2 gallons 13.00$


fresh all= 2 gallosn 8.00$


mega wash= 2 gallons 12.40$


no more stations= 2 gallons 12.00$


ultra clean expensive


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Multiple choice answers choices are <br> A. 122.76 in<br> B. 70.88 in<br> c. 30.69 in
Anna007 [38]

Answer:

option is a 122.76in whole it is correct

5 0
3 years ago
Consider the points A(5, 3t+2, 2), B(1, 3t, 2), and C(1, 4t, 3). Find the angle ∠ABC given that the dot product of the vectors B
Vilka [71]

Answer:

66.42°

Step-by-step explanation:

<u>Given:</u>

A(5, 3t+2, 2)

B(1, 3t, 2)

C(1, 4t, 3)

BA • BC = 4

Step 1: Find t.

First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.

In vector BA B is the initial point and A is the terminal point.

BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)

BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)

Now we can find t because we know that BA • BC = 4

BA • BC = 4

To find dot product we calculate the sum of the produts of the corresponding components.

BA • BC = (4)(0) + (2)(t) + (0)(1)

4 = (4)(0) + (2)(t) + (0)(1)

4 = 0 + 2t + 0

4 = 2t

2 = t

t = 2

Now we know that:

BA = (4, 2, 0)

BC = (0, 2, 1)

Step 2: Find the angle ∠ABC.

Dot product: a • b = |a| |b| cos(angle)

BA • BC = 4

|BA| |BC| cos(angle) = 4

To get magnitudes we square each compoment of the vector and sum them together. Then square root.

|BA| = \sqrt{4^2 + 2^2 + 0^2} = \sqrt{20} = 2\sqrt{5}

|BC| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}

2\sqrt{5}\sqrt{5}\cos{(m\angle{ABC})} = 4

10\cos{(m\angle{ABC})} = 4

\cos(m\angle{ABC}) = \frac{4}{10}=\frac{2}{5}

m\angle{ABC} = cos^{-1}{(\frac{2}{5})}

m\angle{ABC} = 66.4218^{\circ}

Rounded to two decimal places:

m\angle{ABC} = 66.42^\circ

3 0
2 years ago
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Korolek [52]

Answer:

I don't know sooooooooop

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When 2 less than 3 lots of a number is doubled the result is 5
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Can you rephrase it? (maybe write it out in numbers?)
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Find the slope intercept form of an equation given its slope is 1/4 and y intercept is - 3/4
MA_775_DIABLO [31]

Answer:

y=1/4x-3/4

Step-by-step explanation:

y=mx+b

m=1/4

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