Hello,
We know that th formula for the area of a rectangle is:
Now, the problem in this excercise is that there is no restriction on the values that b and h can take, so, they can take any value provided that it meets:
for example:
But if they can only take intenger values, what we have to do is to descompose 12, and then we can analyze the possible solutions.
12 | 2
6 | 2
3 | 3
1
12= 2 *2*3
first option:
12=4*3
Answer: lenght= 4cm and width= 3cm or vice versasecond option:
12=2*6
Answer: lenght= 6cm and width= 2cm <span>
or vice versa</span>
Given a N quantity of numbers, the Geometric Mean is equal to the N-th root of product of the N numbers
In this case, we have two numbers, then we need to multiply them and take square root:
![\sqrt{40\cdot15}=\sqrt[]{600}=\sqrt[]{100\cdot6}=\sqrt[]{100}\cdot\sqrt[]{6}=10\sqrt[]{6}](https://tex.z-dn.net/?f=%5Csqrt%7B40%5Ccdot15%7D%3D%5Csqrt%5B%5D%7B600%7D%3D%5Csqrt%5B%5D%7B100%5Ccdot6%7D%3D%5Csqrt%5B%5D%7B100%7D%5Ccdot%5Csqrt%5B%5D%7B6%7D%3D10%5Csqrt%5B%5D%7B6%7D)
The answer is:
10√6
Rounded is Approximately 24.5
Answer:
<h2>The right answer is 415.4 cubic feet.</h2>
Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>
<h3>Square pyramid.</h3>
First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.
The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid
The sum of both figures represents the total volume of the composite figure
Therefore, the right answer is 415.4 cubic feet.
Lets call x the amount of 18% solution and y the amount of 40% solution, and write as equations the info of the problem:
18x + 40y = 10(20)
x + y = 10
lets multiply the second equation by -18 and add to the first:
18x + 40y = 200
-18x -<span> 18y = -180
</span>----------------------
0 + 22y = 20
y = 20/22 = 10/11
and substitute in the original equation:
x <span>+ y = 10
</span>x = 10 - y
x = 10 - 10/11
x = 110/11 - 10/11
x = 100/11
so they have to use 100/11 liters of 18% solution and 10/11 liters of 40% solution
An example of an item where you would need to find the area of a square is a square table.
An example of an item where you would need to find the area of a rectangle is a phone that has a rectangular shape.
<h3>How to calculate the area?</h3>
It's important to note that the area of a square is the multiplication of its sides by itself. For example, if the side is 4cm, the area will be:
= 4²
= 4 × 4.
= 16cm²
The area of a rectangle will be:
= Length × Width
Assuming length and width are 5cm and 2cm. This will be:
= 5 × 2
= 10cm²
Learn more about area on:
brainly.com/question/25292087
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