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3 years ago

Find the area and side length of square ACEG. Please help!

Mathematics

2 answers:

tatiyna3 years ago

6 0

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared.

Step-by-step explanation:

If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Vikentia [17]3 years ago

5 0

Answer:

100 units squared

Step-by-step explanation:

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Solve the following exponential equations. Round your answers to 3 decimal place.

In-s [12.5K]

Answer:

x=0.268

Step-by-step explanation:

$125=5e^{12x}\\125/5 = e^{12x}\\25=e^{12x}\\ln(25)=ln(e^{12x})\\ln(25)=12x(ln(e))\\ln(25)=12x\\x=ln(25)/12=0.268$

4 0

3 years ago

Read 2 more answers

Find the average value of f(x)=e2x over the interval [2, 4].

shusha [124]

<h2>Option B is the correct answer.</h2>

Step-by-step explanation:

We need to find average value of $e^{2x}$ in [2,4]

Area of $e^{2x}$ in [2,4] is given by

$\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times \left [ e^{2x}\right ]^4_2\\\\\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times(e^8-e^4)=1463.18$

Area of $e^{2x}$ in [2,4] = 1463.18

Difference = 4 - 2 = 2

Average value = Area of $e^{2x}$ in [2,4] ÷ Difference

Average value = 1463.18 ÷ 2

Average value = 731.59

Option B is the correct answer.

5 0

3 years ago

Awnser Find the slope of the line that passes through (-34, 81) and (32, 12).

icang [17]

Answer:

-23/22

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (12 - 81)/(32 - -34) = (-69)/(66) = -23/22

7 0

2 years ago

Create an item with a selling price over $100 a discount of 25% and tax is 9%

Lana71 [14]

First, convert the 25% to a real mathematical number. For percents, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $100 is. This is the amount of the sale discount. This is always found by mulitplying 0.250 by the item's cost $100, like this:

0.250 x $100 = $25.00.

So for this sale, you'll save $25.00 on this item.

This means, the cost of the item to you is

$100 - $25.00 = $75.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $100 = $75.00.

Just like the result above, the sale price on the item is $75.00.

Hope this helps you on your assignment! :)

5 0

3 years ago

The wind is blowing N 35.0 degrees W at 1.60 * 10^2 mph. A plane has an engine speed of 3.20 * 10^2 mph. Where should the pilot

andreyandreev [35.5K]

Answer: 24.2° SouthWest

<u>Step-by-step explanation:</u>

First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

<u>Perpendicular (x):</u>

cos 35° = adjacent/hypotenuse

cos 35° = x/160

→ x = 160 cos 35°

<u>Angle (θ):</u>

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

θ = arcsin (160 cos 35°/320)

θ = 24.2°

Direction is down (south) and left (west)

7 0

3 years ago