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Amiraneli [1.4K]
3 years ago
9

The quadrilateral WXYZ has vertices W(3,-5) X(1,-3) Y(-1,-5) and Z(1,-7)

Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0
The preimage WXYZ is to undergo a rotation of 90° in the clockwise direction.
A 90° clockwise rotation leads to the following change in the coordinates;
(x,y) -> after rotation (y,-x)
this rule applies for all the vertices in the preimage
W - (3,-5)  --> W' (-5,-3)
X - (1,-3) ---> X' (-3,-1)
Y - (-1,-5)---> Y' (-5,1)
Z - (1,-7) ---> Z' (-7,-1)
therefore the new coordinates are W' (-5,-3), X' (-3,-1), Y' (-5,1) and Z' (-7,-1)
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astraxan [27]

Answer:

Step-by-step explanation:

Whenever a magnetic field linked to loop changes, the current is induced in the loop which sequentially opposes the cause of change in magnetic flux. So whenever the magnet moves towards and away from the loop then it causes the current to induce in the loop to oppose the change in magnetic flux by effectively creating a similar pole that is coming towards the loop.

For example, if the magnet north pole is coming towards loops then it effectively creates a north pole in front of the magnet.

So flow of current will glow the light bulb.

               

7 0
3 years ago
Please help me solve this?
jenyasd209 [6]

Recipe is for 24 pieces, and required quantity is 16.

So the ratio is 16/24 = 2/3 means we need to reduce all ingredients to 2/3 of the given quantities. Not all recipes can be reduced prorata, but we will assume it can be done. A word of caution: the measurement of quantities will become awkward (like 3/8 of a teaspoon of salt, etc). The practical way is to make the full recipe, and invite friends to take home the remainder.

Here's the scaled recipe

Butter 1cup*3/4 = 3/4 cup

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white sugar = 2 * 3/4 = 1 1/2 cups

eggs = 4 * 3/4 = 3 eggs

A.P. flour = 1 cup * 3/4 = 3/4 cups

vanilla extract = 1 * 3/4 = 3/4 teaspoons

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For this reason, there is a trend to use weights (in grams) than volumes to make scaling recipes easier.

6 0
3 years ago
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions
ruslelena [56]

Answer:

Expression B: 0.8p

Expression D: p - 0.2p

Step-by-step explanation:

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.

Expression A: 0.2p

Expression B: 0.8p

Expression C:1 - 0.2p

Expression D: p - 0.2p

Expression E: p - 0.8p

Which two expressions each represent the sale price of the item?

Regular price of the item = $p

Sale price = 20% off regular price

Sale price = $p - 20% of p

= p - 20/100 * p

= p - 0.2 * p

= p - 0.2p

= p(1 - 0.2)

= p(0.8)

= 0.8p

The sale price is represented by the following expressions

Expression B: 0.8p

Expression D: p - 0.2p

3 0
3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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mote1985 [20]
We have two questions, but we need to find the volume of the spherical tank first.
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(4/3)(3.14)6³
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We have to multiply the volume by 7.15.
904.32×7.15
6,465.89
It will cost $6,465.89 to fill the tank with the liquid.
3 0
3 years ago
Read 2 more answers
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