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3 years ago

TriangleABC is transformed to form triangleA'B'C' .

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

3 0

A=(2,4); B=(3,9); C=(4,1)
A'=(4,-2); B'=(9,-3); C'=(1,-4)

All the points P=(x,y) change to P'=(y,-x), this corresponds to a rotation counterclockwise about the origin, then:

Answer: Triangle ABC is
First box: rotated counterclockwise
Second box: 90° about the origin
to form triangle A'B'C'

elena-14-01-66 [18.8K]3 years ago

3 0

Answer:

Triangle ABC is rotated counterclockwise 270° about the origin

Step-by-step explanation:

I just took the test

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3 years ago

Half-life of Po-210 is 140 days. If the initial mass of the sample is 5

Anna35 [415]

Answer:

$0.625kg$

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass after 420 days

in order to solve so we can consider the half-life formula given by

$\displaystyle f(t) = a {0.5}^{t/T}$

where:

f(t) is the remaining quantity of a substance after time t has elapsed.
a is the initial quantity of this substance.
T is the half-life

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

$\displaystyle f(420)=5\cdot{0.5}^{420/140}$

reduce fraction:

$\displaystyle f(420)=5\cdot{0.5}^{3}$

By using calculator we acquire:

$\displaystyle f(420)=0.625$

hence, the remaining sample after 420 days is 0.625 kg

4 0

3 years ago

There are 12 boys and 15 girls in your class for new students three boys and one girl join your class what is the ratio of the c

Finger [1]

Before the new kids the ratio of girls to boys is 15:12 because there are 15 girls and 12 boys now you can simplify by dividing 15 by 3 and 12 by 3 to get 5:4 as your simplified ratio. As far as after the new kids. Since there is 1 new girl you do 15+1 to get 16 and there are 3 new boys so you do 12+3 to get 15 now 16:15 is already in simplest form so your answer is:

Before: 15:12 simplified as 5:4
After 16:15

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2 years ago

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Kobotan [32]

Answer:

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Step-by-step explanation:

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3 years ago

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