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Llana [10]
3 years ago
12

Thomas wanted to measure the width of the pond so he set up triangles as shown in the diagram. He claims the two triangles are s

imilar. How wide is the pond?

Mathematics
2 answers:
n200080 [17]3 years ago
8 0

Answer:

  • 156 ft

Step-by-step explanation:

<u>As per similarity, the ratios of corresponding sides are same:</u>

  • x/120 = 65/50
  • x = 120*65/50
  • x = 156 ft
KATRIN_1 [288]3 years ago
6 0

Answer:

<h2><u>Solution </u><u>:</u><u>-</u><u>:</u></h2>

Here we have to write ratio of corresponding ratio.

Let the side be x

\tt \dfrac{x}{120} =  \dfrac{65}{50}

\tt \: x =  \dfrac{120 \times 65}{50}

<h2><u>X </u><u>=</u><u> </u><u>1</u><u>5</u><u>6</u><u> </u><u>ft</u></h2>

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Make a number line and show all values of x such that x&lt;1/3 and x&gt;0
FromTheMoon [43]

Answer:

<-|---------------|----------------|--------------|->

 0                1/3              2/3             1

Step-by-step explanation:

easy peasy

8 0
3 years ago
What is 3 4/15 divided by (8 divided by 6 3/10)
kenny6666 [7]
8 / 6 3/10

= 8 * 10/63
=80/63

3 4/15 / 80/63

= 49/15 * 63/80

=<u>2.5725</u>

5 0
3 years ago
A calculator displays a result as 1.3540980 107 kg. the estimated uncertainty in the result is ±2%. how many digits should be i
yan [13]
<span>2 significant digits.
       
Let's see what the range of possible values you can have for 1.3540980 if your uncertainty is +/- 2% 2% of 1.3540980 = 0.02 * 1.3540980 = 0.027082 So the lowest possible value for your result is 1.3540980 - 0.027082 = 1.327016 The largest possible result is 1.3540980 + 0.027082 = 1.38117996 Notice that only the 1st 2 digits of the result match which is reasonable since a 2% error means that your result is only accurate to within 1 part in 50.</span>
3 0
3 years ago
Anderson is a plumber and is paid a fixed amount just to make a house visit. The remainder of his fee, y, is determined by the n
Serhud [2]

Answer:

y=10x+50

Explanation:

The line starts at point (0,50) which is the y intercept (how much he gets paid to visit house).The line crosses points (10,150) and (20,250) and the slope of these points are 100/10 which when simplified equals 10x which is how much money he gets paid by the hour(x=hours) so y=10x plus the y intercept y=10x+50

7 0
3 years ago
Read 2 more answers
Determine what must be multiplied so that the expression below will have a common denominator. Use the backslash / to type in a
Mashutka [201]

Answer:

Multiply the first fraction by \frac{x+4}{x+4}

Multiply the second fraction by \frac{x-4}{x-4}

Step-by-step explanation:

Given

\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}

Required

Make the denominator equal

\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}

Factorize the denominator

\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}

\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}

Multiply the first fraction by \frac{x+4}{x+4}

Multiply the second fraction by \frac{x-4}{x-4}

\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}

\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}

\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}

<em>The expression now have the same denominator</em>

7 0
3 years ago
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