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alexandr1967 [171]
3 years ago
8

The longest and shortest sides of a right triangle measure  39 centimeters and  15 centimeters , respectively what

is the length of the third side
Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0
Answer: 36 cm


Explanation: Use Pythagorean Theorem to solve the question: a^2+b^2=c^2
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If f(1) = 160 and f(n+ 1) = -2f(n), what is f(4)?
sertanlavr [38]
F(1) = 160 is given to us. We'll use it to find f(2)
f(n+1) = -2*f(n)
f(1+1) = -2*f(1) ... replace every n with 1
f(1+1) = -2*160 ... replace f(1) with 160
f(2) = -320

Now use f(2) to find f(3)
f(n+1) = -2*f(n)
f(2+1) = -2*f(2) ... replace every n with 2
f(3) = -2*(-320) ... replace f(2) with -320
f(3) = 640

Finally, use f(3) to find f(4)
f(n+1) = -2*f(n)
f(3+1) = -2*f(3) ... replace every n with 3
f(4) = -2*640 ... replace f(3) with 640
f(4) = -1280

Final Answer: -1280

7 0
3 years ago
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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
Help answer please! math question
sweet-ann [11.9K]

Answer:

he will use 2 posts.

Step-by-step explanation:

the two posts together will make 1 foot, so with one post on each endof the 7 foot deck, that leaves 6 feet between them.

8 0
3 years ago
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Warren brought $41.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as th
melomori [17]

Answer:

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

Step-by-step explanation:

If Warren went to the store with $41.5 and left with only $4 then the total amount he spent on the store was:

total spent = 41.5 - 4 = 37.5

Since he bought a brush, a sketchbook and a paint set we have:

brush + sketchbook + paint = 37.5

The prices of each item are related in the following manner:

brush = (1/6)*sketchbook

sketchbook = (3/4)*paint

brush = (1/6)*(3/4)*paint = (3/24)*paint = (1/8)*paint

Using these expressions on the one that represents the total value we will be abble to have only one variable, paint. We have:

(1/8)*paint + (3/4)*paint + paint = 37.5

(1/8)*paint + (6/8)*paint + (8/8)*paint = 37.5

(15/8)*paint = 37.5

paint = 37.5/(15/8) = 37.5*(8/15) = 20

brush = (1/8)*paint = (1/8)*20 = 2.5

sketchbook = (3/4)*paint = (3/4)*20 = 15

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

6 0
3 years ago
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The surface area of the prism is Square unit all measurements in the image below are in units input whole numbers only
lbvjy [14]
(8)(6)+(6)(6.5)+(10)(6.5)+(6.5)(8)=answer
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3 years ago
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