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olga nikolaevna [1]
3 years ago
12

Can someone help please

Mathematics
1 answer:
galben [10]3 years ago
7 0

Answer:

(3, -2)

Step-by-step explanation:

after flipping the triangle over the y axis the new point A would be at (1,1)

then following the translation the point would move right twice and down twice leaving the new point A at (3, -2)

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Given k // l, what can you conclude about these triangles? Check all that apply.
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Answer:

A C E

Step-by-step explanation:

it would be A C E because the corresponding angles are similar, angles 5 and 3 are both alternate exterior angles, the following verticals angles(1 and 4) are equivalent to each other. so yeah, its NOT ABC.

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Susanna uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 3/5 of this amount is white paint, and the rest
pochemuha

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It is 6.8

Step-by-step explanation:

3/5 in decimal form is 0.6, so 7.4 - 0.6 is 6.8.

*Hope this helps*

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3 years ago
An Archaeologist in Turkey discovers a spear head that contains 79% of its original amount of C-14. Find the age of the spear he
agasfer [191]

Answer:

The age of the spear head is of 1938 yers.

Step-by-step explanation:

The amount of carbon 14 after years is given by the following equation:

Q(t) = Q(0)e^{-rt}

In which Q(0) is the initial amount and r is the decay rate.

The half life of carbon 14 is 5700 years.

This means that Q(5700) = 0.5Q(0)

So

Q(t) = Q(0)e^{-rt}

0.5Q(0) = Q(0)e^{-5700r}

e^{-5700r} = 0.5

\ln{e^{-5700r}} = \ln{0.5}

-5700r = \ln{0.5}

5700r = -\ln{0.5}

r = -\frac{\ln{0.5}}{5700}

r = 0.00012160476

So

Q(t) = Q(0)e^{-0.00012160476t}

We have to find:

t for which Q(t) = 0.79Q(0). So

Q(t) = Q(0)e^{-0.00012160476t}

0.79Q(0) = Q(0)e^{-0.00012160476t}

e^{-0.00012160476t} = 0.79

\ln{e^{-0.00012160476t}} = \ln{0.79}

-0.00012160476t = \ln{0.79}

0.00012160476t = -\ln{0.79}

t = \frac{-\ln{0.79}}{0.00012160476}

t = 1938.43

Rounding to the nearest year.

The age of the spear head is of 1938 yers.

8 0
3 years ago
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