Answer: 1/4 chance of picking red
Step-by-step explanation: There are 120 buttons in all, so the fraction of red marbles is 30/120. 30/120 = 1/4
Hope this helps!
![\text{The length of the diagonal is }11.2\text{ mm}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20length%20of%20the%20diagonal%20is%20%7D11.2%5Ctext%7B%20mm%7D)
Here, we want to find the diagonal of the given solid
To do this, we need the appropriate triangle
Firstly, we need the diagonal of the base
To get this, we use Pythagoras' theorem for the base
The other measures are 6 mm and 8 mm
According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the diagonal as l
Mathematically;
![\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20l%5E2%3D6%5E2%2B8%5E2%20%5C%5C%20l%5E2%5Ctext%7B%20%3D%2036%20%2B%2064%7D%20%5C%5C%20l%5E2%5Ctext%7B%20%3D100%7D%20%5C%5C%20l%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B100%7D%20%5C%5C%20l%5Ctext%7B%20%3D%2010%20mm%7D%20%5Cend%7Bgathered%7D)
Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above
Thus, we calculate this using the Pytthagoras' theorem as follows;
Answer:
answer: he spent $120
Step-by-step explanation:
20×5=100
100+ the initial $20 spent = $120
Answer:
y= 8(x-5)² + 6
Step-by-step explanation:
Parabolas have two equation forms, namely; the standard and vertex form.
In the vertex form, y = a(x - h)² + k, the variables h and k are the coordinates of the parabola's vertex.
In this case; a=8, h =5, and k=6
Therefore;
The vertex equation will be
y= 8(x-5)² + 6