So
green bikes:20
yellow bikes:20. but don't really understand
blue bikes:22
Answer:
22.84, 5.83
Step-by-step explanation:
Pythagoras theorem states that: a^2+b^2=c^2
So, for red triangle, it will be: 9^2+21^2=b^2
81+441=b^2
522=b^2
square root of 522=b
22.84=b
For purple one,
3^2+5^2=a^2
9+25=a^2
34=a^2
square root of 34=a
5.83=a
To obtain the total surface we have to calculate the surface of the 4 triangles and add up the areas (remember that the area of a triangle is (b*h)/2 , b is the base, h is the height ).
We will caculate first the area of the base triangle for that we considerer the fact that it is an equilateral triangle with sides of lenght 6 cm, now we calculate the height, I am going to draw please wait a moment
using the pythagorean theorem we have that
![\begin{gathered} h^2=6^2cm^2-3^2\operatorname{cm}=27cm^2 \\ h=\text{ }\sqrt[]{27\text{ }}cm \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%5E2%3D6%5E2cm%5E2-3%5E2%5Coperatorname%7Bcm%7D%3D27cm%5E2%20%5C%5C%20h%3D%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B27%5Ctext%7B%20%7D%7Dcm%20%5Cend%7Bgathered%7D)
Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.
Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.
Finally we add up all the areas:
The question you asked uses the concept of division, something that a bit tricky at first but gets easier as you master it!
So first let’s write and equation for your problem:
Let x = the amount of calories she burns each hour.
So we already know that Vivi was drumming for 3 hours, that she burned 756 calories, and that she burned the same amount of calories each hour.
Since she burned 756 calories in total, we know that the equation will have to equal 756:
= 756
We also know that the answer will be 3(hours) times x(the amount of calories), so now we just plug it into the equation:
3x = 756
To find what ‘x’ equals we have to divide both side by 3:
3x/3 = 756/3
Now all we have to do is simplify and you have your answer!
x = 252
And there you have it, Vivi burned 25 calories per hour!
Hope this helps! :)
By the way I looked this up but heres the best ive got
<span>Simplifying
(-1x + 27) + (16x + 4) = 0
Reorder the terms:
(27 + -1x) + (16x + 4) = 0
Remove parenthesis around (27 + -1x)
27 + -1x + (16x + 4) = 0
Reorder the terms:
27 + -1x + (4 + 16x) = 0
Remove parenthesis around (4 + 16x)
27 + -1x + 4 + 16x = 0
Reorder the terms:
27 + 4 + -1x + 16x = 0
Combine like terms: 27 + 4 = 31
31 + -1x + 16x = 0
Combine like terms: -1x + 16x = 15x
31 + 15x = 0
Solving
31 + 15x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-31' to each side of the equation.
31 + -31 + 15x = 0 + -31
Combine like terms: 31 + -31 = 0
0 + 15x = 0 + -31
15x = 0 + -31
Combine like terms: 0 + -31 = -31
15x = -31
Divide each side by '15'.
x = -2.066666667
Simplifying
x = -2.066666667</span>
