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andre [41]
3 years ago
7

HELP, I AM UTTERLY CONFUSED *20 points

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0
Ok so this question is a bit complicated, but it's easier to understand if you break it down into smaller parts!

1) First, you know that ABGF is half the perimeter of ACDE. This means that the length of one side of ABGF must be 1/2 the length of one side of ACDE.
>> You can think of this by putting in random numbers. Say the perimeter of the larger square is 24 and the perimeter of the smaller square is 12. That means one side of the larger square of 24/4 (b/c four sides) = 6 and one side of the smaller square is 12/4 = 3!

2. Ok know you know the lengths of the sides relative to each other, but you're only given one value: 4in. Since the smaller square has sides that are 1/2 the larger squares, you know that it makes up 1/4 of the larger square! So imagine 4 of those smaller squares filling up that larger square to make a 2 by 2. It just so happens that 4in is the diagonal going through one of our imaginary squares, which is equal in size to ABGF!

3. Now use the 45-45-90 rule to figure out the length of one side of that imaginary square because the 4in diagonal splits that imaginary square into two of those 45-45-90 triangles. You know the hypotenuse of that triangle is 4in. That means one of the legs is 4/✓2 (since the rule says that the hypotenuse and the leg are in a ✓2:1 ratio). And like we said before the length of that leg is the length of the side of our imaginary square. And our imaginary square must be the same size as ABGF! So now we know the side of the smaller square to be 4/✓2!

4. Multiply the side of the smaller square by 2 to get the side of our larger square. (4/✓2)*2=8/✓2

5. Now to find the area of the shaded region, just find the area of the smaller square ABGF and subtract from the larger square ACDE. Use equation for the area of a square!
a =  {s}^{2}
where s=the length of one side.

The length of one side of the smaller square is 4/✓2. So it's area is:
{( \frac{4}{ \sqrt{2} }) }^{2}  =  \frac{16}{2}  = 8

The length of one side of the larger square is 8/✓2. So it's area is:
{ ( \frac{8}{ \sqrt{2} }) }^{2}  =   \frac{64}{2}   = 32

Now subtract. 32-8=24! :)

Hope this helps! Let me know if you have any questions.
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When money loses some of its value over time, it is caused by
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Answer:

D: Inflation

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5 0
2 years ago
Assume that an average cell has a diameter of
emmasim [6.3K]

Given that the volume of a cell is 50 cubic micrometers. It says to find the number of cells present in 1 cubic centimeter.

So we need to first convert the units of volume of a cell, then we can find the total number of cells in 1 cubic centimeter.

We know 1 meter = 100 centimeters = 1000000 micrometers

So 1 centimeter = 10000 micrometers

Taking Cubic powers on both sides :-

1 cubic centimeters = 10¹² cubic micrometers

1 cubic micrometers = 10⁻¹² cubic centimeters

50 cubic micrometers = 50 × 10⁻¹² = 5 × 10⁻¹¹ cubic centimeters

So volume of one cell = 5 × 10⁻¹¹ cubic centimeters

Number of cells = \frac{Total\;\; volume}{Volume\;\; of\;\; one\;\; cell}  = \frac{1\;cm^{3}}{5 * 10^{-11}\;cm^{3}} = \frac{10^{11}}{5} = 2 × 10¹⁰ cells.

So, total number of cells = 2 × 10¹⁰ cells.

4 0
3 years ago
Pls pls pls pls pls help
Stella [2.4K]

23

Step-by-step explanation:

f(3) =  {(3)}^{2}  + 3(3) - 7 = 9 + 9 - 7 \\  = 18 -  7 = 11

g(3) = 5(3) - 3 = 15 - 3 = 12

f(3) + g(3) = 11 + 12 = 23

RATE BRAINLIEST

6 0
2 years ago
-3 1/2 + ( -6 1/2) =<br> 5/8 - {-2/8} =<br> - 9/10 - 2/5 =<br> 6 3/5 - (-2 1/5)
marin [14]

Answer:

-3 1/2 + ( -6 1/2) =  -10

5/8 - {-2/8} =  7/8

- 9/10 - 2/5 =  -4

6 3/5 - (-2 1/5) = 44/5

Step-by-step explanation:

-3 1/2 + ( -6 1/2) =  <em>-7/2 + (-13/2) = -20/2 =</em><em><u> </u></em><em><u>-10</u></em>

5/8 - {-2/8} =  <em>5/8 + 2/8 = </em><u><em>7/8</em></u>

- 9/10 - 2/5 =  <em>-18-2/5 = -20/5 = </em><u><em>-4</em></u>

6 3/5 - (-2 1/5) = <em>33/5 + 11/5 = </em><em><u>44/5</u></em>

4 0
3 years ago
What is y=-2x+5 in standard form it is a negative
Oliga [24]

Answer:

the answer is 2x+y=5

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3 years ago
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