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Tems11 [23]
2 years ago
11

If abcd is dilated by a factor of 1/3 the coordinate d would be

Mathematics
2 answers:
Anika [276]2 years ago
8 0

Answer:

(2, - 1 )

Step-by-step explanation:

Assuming the centre of dilatation is at the centre then multiply each of the coordinates of D by \frac{1}{3}

D(6, - 3 ) → D'( \frac{1}{3} (6), \frac{1}{3} (- 3 ) ) → D'( 2, - 1 )

Step2247 [10]2 years ago
3 0

Answer:

-3 is the y coordinate

2 is the x coordinate

Step-by-step explanation:

-9*1/3=-3

6*1/3=2

Hope this helps :)

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Evaluate the definite integral. 1/4 csc(2πt) cot(2πt) dt 1/12
Afina-wow [57]
Hey there, hope I can help!

\frac{1}{4}\csc \left(2\pi t\right)\cot \left(2\pi t\right)dt\frac{1}{12}

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}\cdot \frac{d}{e}=\frac{a\:\cdot \:b\:\cdot \:d}{c\:\cdot \:e} \ \textgreater \  \frac{1\cdot \:1\cdot \:dt}{4\cdot \:12}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \  \frac{dt}{4\cdot \:12}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Multiply\:the\:numbers:}\:4\cdot \:12=48 \ \textgreater \  \frac{dt}{48}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  \frac{dt\csc \left(2\pi t\right)\cot \left(2\pi t\right)}{48}

Hope this helps!
5 0
3 years ago
A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 7? Express your answer as a frac
zzz [600]

Answer:

0.4167 is the probability of rolling a sum less than 7.  

Step-by-step explanation:

We are given the following in the question:

Event: A standard pair of six-sided dice is rolled

A: rolling a sum less than 7

Sample space:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

A:

{(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2),(5,1)}

Formula:

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

P(A) = \dfrac{15}{36} = 0.4167

0.4167 is the probability of rolling a sum less than 7.

8 0
3 years ago
Samantha sells pre-owned automobiles for Fast Track Motors. She receives a monthly salary of $750. Samantha also receives a comm
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0.015*202455 =  3,036.825
3,036.825+750 = 3,786.83

$3,786.83
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3 years ago
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In an auditorium, 1/6 of the students are 5th Graders, 1/3 are 4th Graders, and 1/4 of the remaining students are 2nd graders. I
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1/2 of the class are 5th and 4th
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1/4 of 48 =12
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3 years ago
OMG FREE BRAINLIEST HURRY UP
solniwko [45]

Me please

thanks so much btw, haha

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2 years ago
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