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Nutka1998 [239]
3 years ago
12

Classify the following triangle as acute, obtuse, or right.

Mathematics
1 answer:
Elenna [48]3 years ago
3 0

Answer:

It is an obtuse angle so correct

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What is the slope of the line whose equation is -3x+y=12
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3x is the answer as the opposite of -3 in front of x is 3
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3 years ago
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On a map, 3 centimeters represents 150 kilometers. If a line between two cities measures 4.5 centimeters, how many kilometers ap
SCORPION-xisa [38]

Answer: 225km

Step-by-step explanation:

3cm --- 150

1cm ---- 50

Therefore 4.5cm * 50 = 225km

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3 years ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.
DIA [1.3K]
Reta a:

3x-4y=7 \\ -4y=-3x+7 \\ 4y=3x-7 \\ y= \frac{3}{4}x- \frac{7}{4}

reta x:

y=ax+b

Retas paralelas possuem coeficientes angulares iguais ⇒ mₐ=mₓ

y= \frac{3}{4}x+b

(-4,-2)

\frac{3}{4}.(-4)+b=-2 \\ -3+b=-2 \\ b=-2+3 \\ b=1

∴ y=3/4x+1
8 0
3 years ago
Find for x<br><br> 1/5x + 1/3= 3(2/3x -2)
topjm [15]

Answer:

The value of x  for the given expression is  (95/27)

Step-by-step explanation:

Here, the given expression is:

\frac{1}{5} x + \frac{1}{3}   = 3(\frac{2}{3}x -2)

Now here  solving for the value of x , we get

\frac{1}{5} x + \frac{1}{3}   = 3(\frac{2}{3}x) -6\\\implies\frac{1}{5} x + \frac{1}{3}   = 2x -6

Now, taking the variable terms on 1 side, we get

\frac{1}{5} x   - 2x   = -6 -  \frac{1}{3} \\\implies\frac{x  - 10x}{5}   = -(\frac{6(3)  +1}{3} )

or, \frac{-9x}{5}   = -\frac{19}{3}   \implies x  = \frac{19}{3}  \times\frac{5}{9}   = \frac{95}{27}

Hence,  the value of x = (95/27)

6 0
4 years ago
Problem PageQuestion Working together, two pumps can drain a certain pool in hours. If it takes the older pump hours to drain th
gizmo_the_mogwai [7]

Answer:

10.5 hours.

Step-by-step explanation:

Please consider the complete question.

Working together, two pumps can drain a certain pool in  6  hours. If it takes the older pump  14  hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?

Let t represent time taken by newer pump in hours to drain the pool on its own.

So part of pool drained by newer pump in one hour would be \frac{1}{t}.

We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be \frac{1}{14}.

Part of pool drained by both pumps working together in one hour would be \frac{1}{6}.

Now, we will equate the sum of part of pool emptied by both pumps with  \frac{1}{6} and solve for t as:

\frac{1}{14}+\frac{1}{t}=\frac{1}{6}

\frac{1}{14}\times 42t+\frac{1}{t}\times 42t=\frac{1}{6}\times 42t

3t+42=7t

7t=3t+42

7t-3t=3t-3t+42

4t=42

\frac{4t}{4}=\frac{42}{4}

t=10.5

Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.

6 0
3 years ago
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