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RSB [31]
3 years ago
5

The actual length of side y is 22cm. Use the scale drawing to find the length of side x.

Mathematics
1 answer:
kozerog [31]3 years ago
8 0

Given:

The actual length of side y is 22cm.

To find:

The length of side x by using the scale drawing.

Solution:

We know that the corresponding sides of original figure and scale drawing are proportional.

\dfrac{x}{1.8}=\dfrac{y}{1.4}

\dfrac{x}{1.8}=\dfrac{22}{1.4}

x=\dfrac{22}{1.4}\times 1.8

x\approx 28.286

Therefore, the length of side x is about 28.286 cm.

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Divide using long division. <br><br> <img src="https://tex.z-dn.net/?f=%284x%5E%7B2%7D%20-5x%2B3%29" id="TexFormula1" title="(4x
frez [133]

Answer:

The quotient = 4x - 17 and the remainder = 54

Step-by-step explanation:

\frac{4x^{2}-5x+3 }{x+3}=4x+\frac{-17x+3}{x+3}

\frac{-17x+3}{x+3}=-17+\frac{54}{x+3}

The quotient = 4x - 17 and the remainder = 54

6 0
3 years ago
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What ratio forms a proportion with 14/42?<br> A. 1/4<br> B. 7/21<br> C. 12/40<br> D. 28/80
koban [17]

Hey there!

"What ratio forms a proportion with \frac{14}{42} ?"

              - \frac{14}{45} =0.56 (for the decimal)

  • A) \frac{1}{4} =0.25 (incorrect)
  • B) \frac{7}{21} =0.33 (Incorrect)
  • C) \frac{12}{40} 0.3 (incorrect)
  • D) \frac{28}{80} 0.7 (incorrect)

But in order for you to solve this particular equation you'd have to go in with two (like multiplying by two)

  • 1\times2= 2 ;   4\times2 = 8 (incorrect)
  • 7\times 2= 14 ; 21\times2 = 42 (correct)
  • 12 \times2 = 24 ; 40\times 2 = 80 (incorrect)
  • 2 \times 28 = 56 ; 2\times 80 = 160 (incorrect)

Your result: \boxed{Answer: B. \frac{7}{21} }

Good luck on your assignment and enjoy your day!

~\bold{LoveYourselfFirst:) }



3 0
3 years ago
Help pls I no it’s simple but I don’t understand pls look at the pictures or image pls pls number 1 pls
NeTakaya

Answer: The answer would be No, Yes, No.

Step-by-step explanation:

Look at the grid, you can see that it has 100 units in all.

0.42 equals 21/50, so they are both wrong. The denominator would have to be 100. The only logical one would be the second one.

4 0
3 years ago
What is the first step to 7(x – 4) = 84.
ss7ja [257]
Parenthesis according to the PEMDAS rule

So
7(x - 4) = 84

Would be

7x -28 = 84


Hope this helped :)
5 0
3 years ago
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Determine determine whether the following geometric series converges or diverges. if the series converges find its sum.
Lilit [14]

For starters,

\dfrac{3^k}{4^{k+2}}=\dfrac{3^k}{4^24^k}=\dfrac1{16}\left(\dfrac34\right)^k

Consider the nth partial sum, denoted by S_n:

S_n=\dfrac1{16}\left(\dfrac34\right)+\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\cdots+\dfrac1{16}\left(\dfrac34\right)^n

Multiply both sides by \frac34:

\dfrac34S_n=\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\dfrac1{16}\left(\dfrac34\right)^4+\cdots+\dfrac1{16}\left(\dfrac34\right)^{n+1}

Subtract S_n from this:

\dfrac34S_n-S_n=\dfrac1{16}\left(\dfrac34\right)^{n+1}-\dfrac1{16}\left(\dfrac34\right)

Solve for S_n:

-\dfrac14S_n=\dfrac3{64}\left(\left(\dfrac34\right)^n-1\right)

S_n=\dfrac3{16}\left(1-\left(\dfrac34\right)^n\right)

Now as n\to\infty, the exponential term will converge to 0, since r^n\to0 if 0. This leaves us with

\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{k=1}^n\frac{3^k}{4^{k+2}}=\sum_{k=1}^\infty\frac{3^k}{4^{k+2}}=\frac3{16}

8 0
3 years ago
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