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Triss [41]
4 years ago
6

The figures in each pair are similar. Find the value of each variable. Show your work.

Mathematics
2 answers:
Mrac [35]4 years ago
7 0
When a pair of figure is similar, it means the lengths have a scale factor. So we have to find what times 8 gives 16, which is the length if the bigger rectangle. 8×2=16, so we have to use the scale factor, which is 2, to multiply by the other length of the rectangle. 2×2=4, so x=4.
Next question is basically like the first one, but you have to divide instead. 12÷4=3, and so 8×3=24, so y=24. 18÷3=6, so x=6. Last one, 6÷4= 1.5. 8÷1.5=5.3 and 7÷1.5=4.6, so x=4.6 and y=5.3
zheka24 [161]4 years ago
4 0
We know that the figures in each pair are similar and that x,y>0, so:

The rectangle:
\frac{16}{8}=\frac{x}{2}
2=\frac{x}{2}\quad |\cdot 2
4=x

The triangle I:
\frac{y}{12}=\frac{8}{4}
\frac{y}{12}=2\quad |\cdot 12
y=24

\frac{12}{4}=\frac{18}{x}
3=\frac{18}{x}\quad |\cdot x
3x=18\quad |:3
x=6

The triangle II:
\frac{8}{6}=\frac{y}{4}
32=6y\quad |:6
y=5\frac{1}{3}

\frac{6}{4}=\frac{7}{x}
\frac{3}{2}=\frac{7}{x}
3x=14
x=4\frac{2}{3}

<em>:)</em>
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Answer:

7/12

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3 years ago
The probability of rain =0.2, sun=0.3,cloud=0.5. What is the probability of rain and sun over a two day period?
svp [43]

Answer:

0.2752512

Step-by-step explanation:

The formula you are looking for is the binomial probability:

               

                n!

P (X) = ------------    * (P)^X  * (q)^n - X

           (n- X)! X!    

For your particular problem:

n=7

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q = 1-p = .8

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Hope this helps, have a nice day/night! :D

6 0
3 years ago
Which irrational number can be added to pi to get a sum that is rational?
Fofino [41]
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3 0
4 years ago
Read 2 more answers
HELP
andreev551 [17]

Answer:

A. y = 80x

B. g(x) = 80x

C. To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.

Step-by-step explanation:

Part A:  

To write an equation, use y= mx where m is the slope, x is the number of days, and y is the rent cost.

x and y remain the same in the equation.

To find m, use the slope formula with (5,465) and (7, 625).

m=\frac{y_2-y_1}{x_2-x_1}= \frac{625-465}{7-5} =\frac{160}{2} =80

It costs $80 a day.

The equation is y = 80x.

Part B:  

Function notation replaces Y as g(x). So the equation is g(x) = 80x.

Part C:

To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.


6 0
3 years ago
5x-4y=-18 what is the three point on a graph for this equation
Tju [1.3M]
(1)Draw the "y" line . It goes up and down. 
<span>Make sure to mark the centimeters or quarter inches with little nobs. </span>
<span>Start at -20 and go to 10 </span>
<span>(2)Draw the "x" line. it goes side to side. </span>
<span>place the x line at the zero point of the y line. I'm sure you will see your paper looks like the letter "t". Perfectly at a right angle. you could use the corner of a book to square it. </span>

<span>Now for the maths 5x - 4y = -18. The most important symbol here is the "=" sign. </span>
<span>(3) rearrange the equation so that y is on one side of "=" and x is on the other side. </span>
<span>Remember if you add 10 to one side the of "=" , then for it to be equal, add 10 to the other. side also </span>
<span>so add 4y to both sides. add 18 to both sides . divide the whole of each side by 4. </span>
<span>5x - 4y + 4y + 18 = -18 + 4y + 18 </span>
<span>1.25x + 4.5 = y </span>
<span>(4) now write down on a peace of scrap paper, x=1, y= 5.75, x=2 y= ___ , x=3 y= ___ </span>
<span>(5) remember BEDMAS, and put 1 in the place of x and calculate what y is . </span>
<span>(6) get your ruler , line up x = 1 (ruler is going up and down) and draw a spot on what y = . Get two rulers if you must. </span>
<span>(7) </span>
<span>hey presto, you got your three points on a graph.</span>
5 0
3 years ago
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