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den301095 [7]
4 years ago
10

Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?

Mathematics
2 answers:
kow [346]4 years ago
7 0

Answer:

Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?

yes, because a translation to the right will map ΔABC to ΔABD

yes, because a rotation about point B will map ΔABC to ΔABD

yes, because a reflection across BA will map ΔABC to ΔABD

no, because no rigid transformation will map ΔABC to ΔABD

Step-by-step explanation:

frutty [35]4 years ago
5 0

Answer: option c

Step-by-step explanation: I took a test

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Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your
lilavasa [31]

We have the equation:

y=a\cdot b^x

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}

Now, we use the point (2, 108/25) to calcualte b:

\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}

Then, we can write the equation as:

y=3\cdot(\frac{6}{5})^x

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1 year ago
during a test of a totalizing flow meter, the water depth rose 15 inches in a tank 18 inches in diameter. What was the total flo
sattari [20]

Answer:

The total flow in gallons is approximately 16.524 gallons

Step-by-step explanation:

The given diameter of the tank, D = 18 inches

The amount by which the water depth rose, Δh = 15 inches

The quantity being measured = The total flow = The change in volume of water in the tank

The change in the volume of the water in the tank, ΔV = (π × D²/4) × Δh

Substituting the known values, gives;

ΔV = (π × D²/4) × Δh = (π × (18 in.)²/4) × (15 in.) ≈ 3817.035 in.³

1 gallon = 231 in.³

ΔV ≈ 3817.035 in.³ = 3817.035 in.³ × 1 gallon/(231 in.³)  ≈ 16.524 gallons

The change in the volume of the water in the tank, ΔV in gallons = The total flow in gallons ≈ 16.524 gallons.

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27

Step-by-step explanation:

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Is the LCM of a pair of numbers ever equal to one of the numbers?
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Yes . It happens depending on the numbers!
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Harlamova29_29 [7]

Answer:

8/10,3/4, -3/4,-7/10

Step-by-step explanation:

From greatest to least, they -7/10 and -3/4 is a negative so thats the least because its below zero. 8/10 and 3/4 is positive so thats a decimal. The greatest is 8/10 because if you divide it, it give you .8 and 3/4 is .75. .8 is greater because it refers to 80 and .80 is greater that .75

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