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faust18 [17]
3 years ago
15

Please help due at 8:00

Mathematics
2 answers:
goblinko [34]3 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

Tangent - Secant Power Theorem: 18^2 = 12(21 + x)

324 = 252 + 12x

72 = 12x

x = 6

olga55 [171]3 years ago
3 0

Answer:

x=6

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(12+x+9)*12 = 18^2

(21+x)12 =324

Divide each side by 12

(21+x) 12/12 = 324/12

21+x = 27

Subtract 21 from each side

21+x-21 =27-21

x=6

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
In august the simons water bill was $48.in September it was 15% lower . What was the simons water bill in September
slega [8]
Water bill of Simons in the month of August = $48
Percentage of bill that was lower in the month of September = 15%
then
Amount of bill that was lower in the month of September = (15/100) * 48
                                                                                           = 720/100 dollars
                                                                                           = 7.2 dollars
So
The bill for the month of September = (48 - 7.2) dollars
                                                          = 40.8 dollars
So Simon will have to pay $40.8 as the water bill for the month of September. I hope the procedure is clear enough for you to understand.
3 0
4 years ago
Read 2 more answers
The sum of 3 consecutive integers is 90. Find the largest integer if x is the smallest integer.
____ [38]

Answer:

31

Step-by-step explanation:

x, x+1, x+2

x + x + 1 +x + 2 = 90

3x + 3 = 90

     -3      -3

3x = 87

/3     /3

x = 29

29 + 2 = 31

3 0
4 years ago
a dealer sells a camera to a man and makes 15% profit. The man sells the camera to another man for 414$ with 10% loss. Find the
WARRIOR [948]

Answer:

$386.75

Step-by-step explanation:

First we must find the price of the camera after the man sold it, with the 10% loss.

To do this we find 10% of 414, which is 41.4 . Meaning the camera was originally bought from the dealer for $455.40, as we have to add the 10% back onto the price.

Now we find 15% of 455 and subtract it, with 15% being 68.25, the original cost was $386.75. My guy was seriously ripped off :(.

<h2>Orignal price: $386.75</h2>
6 0
3 years ago
a box contains 4 yellow, 5 green and 3 blue balls. find the probability of obtaining a yellow ball in a single random draw.
Alex

Notice that the box has a total os 4 + 5 + 3 = 12 balls, since there are 4 that are yellow, then, the probability to randomly obtaining a yellow ball in a single draw is:

P(Yellow)=\frac{\text{ number of yellow balls}}{\text{total number of balls}}=\frac{4}{12}=0.33

therefore, the probability is 0.33 = 33%

7 0
2 years ago
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