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Delicious77 [7]
3 years ago
8

In drafting class, Manual is drawing blueprints for a house. The scale is 1/4 inch equals 1 foot. If a bedroom is to be 14 Feet

wide, how long will the corresponding wall be in the drawing?
Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

3.5 inches

Step-by-step explanation:

we know that

The scale drawing is

\frac{1}{4}\ in:1\ ft

That means

1/4 inch in the drawing represent 1 foot in the actual

so

using proportion

Find out the dimension in the drawing corresponding to a 14 feet wide in the actual

\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{14}\ \frac{in}{ft}\\\\x=14(1/4)\\\\x= 3.5\ in

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Given f (x) = -12x + 72, find x when f(x) = 24.
Neko [114]

Answer:

x = 4

Given:

f(x) = -12x + 72

f(x) = 24

Step-by-step explanation:

=  >  - 12x + 72 = 24 \\  \\  =  >  - 12x = 24 - 72 \\  \\  =  >   \cancel{- }12x =   \cancel{-} 48 \\  \\  =  > 12x = 48 \\  \\  =  > x =  \frac{48}{12}  \\  \\  =  > x = 4

4 0
2 years ago
Jamila deposits $800 in an acount that earns yearly simple interest at a rate of 2.65%. How much money is an account after 3 yea
Cerrena [4.2K]

Answer:

In 3.75 years, you will have $865.30

Step-by-step explanation:

 

4 0
2 years ago
Please HELP!!!!
Karolina [17]

Answer:


Step-by-step explanation:

Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.

When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.

Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?

What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!

Putting all of this together gives us:

z = |mag|*(cos(angle) + isin(angle))

= 2*cos(270°) + isin(270°)).

To verify, let's consider what cos(270°) and sin(270°) are.

If you graph cos(x) and look at 270°, you get 0.

If you graph sin(x) and look at 270°, you get -1.

So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.

3 0
3 years ago
Each locker is shaped like a rectangular prism. Which has more storage space? explain/
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The volume of locker 1 is 8,640 (48x15x12)
The volume of locker 2 is 7,200 (60x10x12)

I hope this helps.
4 0
3 years ago
To make fruit punch for a party, Alison used 3 quarts of pineapple juice and 2 gallons if orange juice. There are 4 quarts in a
REY [17]
Since we know there are 3 quarts of pineapple juice and 2 gallons of orange juice the first thing you need to do is convert the units of the orange juice to quarts.
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The ratio would be <u><em>3:8</em></u>
3 0
3 years ago
Read 2 more answers
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