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expeople1 [14]
2 years ago
11

Please help me with both and if you can’t just 1 pleaseeeee I don’t understand it PLEASE

Mathematics
1 answer:
frosja888 [35]2 years ago
5 0

Problem 1

<h3>Answer: 37.33 </h3>

------------------

Work Shown:

1 liter = 1000 mL

0.56 liters = 560 mL (multiply both sides by 0.56)

x = number of tablespoons needed to fill water bottle

1 tablespoon = 15 mL

x tablespoons = 15x mL (multiply both sides by x)

Set 15x and 560 equal to each other. Solve for x

15x = 560

x = 560/15

x = 37.333

x = 37.33

=================================================

Problem 2

<h3>Answer:  545</h3>

------------------

Work Shown:

From the previous problem, a 0.56 L water bottle has 560 mL of water.

Subtract off 15 mL to get

560 - 15 = 545

A filled water bottle has 545 more mL of water compared to a tablespoon of water.

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4 0
3 years ago
The rectangle below has an area of x^2+8x+15x
Darina [25.2K]

Answer:

The length of the rectangle is x+5.

Step-by-step explanation:

Given : The rectangle below has an area of x^2+8x+15 square meter and a width of  x+3 meter.

To find : What expression represents the length of the rectangle?

Solution :

The area of the rectangle is given by,

\text{Area}=\text{Length}\times \text{Breadth}

\text{Area}=x^2+8x+15

\text{Breadth}=x+3

x^2+8x+15=\text{Length}\times(x+3)

\text{Length}=\frac{x^2+8x+15}{x+3}

\text{Length}=\frac{(x+5)(x+3)}{x+3}

\text{Length}=x+5

Therefore, the length of the rectangle is x+5.

7 0
3 years ago
Please solve this.<br>..​
pentagon [3]
Slope = (y2 - y1) / (x2 - x1)
Slope = -26 - (-14) / 8-4
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3 0
2 years ago
Sasha is the manager at a factory.
FromTheMoon [43]

Answer:

Hi

I think the answer is 80 employees.

Step-by-step explanation:

15 employees - 390 wardrobes

Therefore 1200 divided by 15 equals 80

7 0
2 years ago
How do you add vectors? Add the vector &lt;3,4&gt; to the vector that goes 7 units at an angle of 2π/3.
lawyer [7]

Answer:

The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle \frac{2\pi }{3}

- That means its magnitude is 7 and its direction is  \frac{2\pi }{3}

∴ x = 7 cos(  \frac{2\pi }{3} )

∴ y = 7 sin(  \frac{2\pi }{3} )

∵ cos(  \frac{2\pi }{3} ) =  -\frac{1}{2}

∵ sin(  \frac{2\pi }{3} ) =  \frac{\sqrt{3}}{2}

- Substitute them in x and y

∴ x = (7)( -\frac{1}{2} )

∴ x = -3.5

∴ y = (7)( \frac{\sqrt{3}}{2} )

∴ y = 3.5\sqrt{3}

∴ The vector is <-3.5 , 3.5\sqrt{3}>

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5\sqrt{3} > = <3 + -3.5 , 4 + 3.5\sqrt{3} >

∴  <3 , 4> + <-3.5 , 3.5\sqrt{3}> = <-0.5 , 4+3.5\sqrt{3} >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5\sqrt{3} >

5 0
3 years ago
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