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galina1969 [7]
2 years ago
8

A right-angled triangle has sides which are 5 inches and 12 inches. How long is the triangle's hypotenuse?

Mathematics
1 answer:
Andrew [12]2 years ago
4 0

Answer:

13 inches

Step-by-step explanation:

Use the Pythagorean Theorem:

a^2 + b^2 = c^2

(5)^2 + (12)^2 = c^2

c^2 = 169 in^2

c = 13 inches

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11 would be my best guess, kinda confusing question. I hope I helped!

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The time it takes runners to complete a certain marathon are normally distributed with a mean of 4.6 hours and a standard deviat
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The time for this z-score is 3.28.

The formula for z-scores is

z = (X-μ)/σ

Using our information, we have

-1.2 = (X-4.6)/1.1

Multiply both sides by 1.1:
-1.2(1.1) = X - 4.6
-1.32 = X - 4.6

Add 4.6 to both sides:
-1.32 + 4.6 = X - 4.6 + 4.6
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3 years ago
Write the canonical equation of the straight line 2x+3y-2z+6=0, x-3y+z+3=0
Romashka-Z-Leto [24]

i hope this helps  

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6 0
3 years ago
Help please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
irakobra [83]

The top portion of this graph would be y = 4

The bottom portion would be y = x - 1


In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.


For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)


m = (y1 - y2)/(x1 - x2)

m = (4 - 2)(5 - 3)

m = 2/2

m = 1


So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)


y = mx + b

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3 0
3 years ago
An office supply store recently sold a black printer ink cartridge for $17.99 and a color printer ink cartridge for $20.99. At t
UNO [17]

Answer:

40 black ink cartridges and 19 colored ink cartridges

Step-by-step explanation:

Let b represent the number of black printer ink cartridges sold. Let c represent the number of color printer ink cartridges sold.

Set up a system of equations:

\displaystyle\\\begin{cases}b+c=59\\17.99b+20.99c=1,118.41\end{cases}

b+c=59\implies b=59-c

Substitute:

\displaystyle\\17.99(59-c)+20.99c=1,118.41\\\implies c=\boxed{19}

\implies b+19=59\implies b=\boxed{40}

⇒ 40 black ink cartridges, 19 colored ink cartridges (ans)

8 0
2 years ago
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