Answer:
135ml
Step-by-step explanation:
glass originally 4/12 full
it then became 9/12 full
therefore 75ml = 5/12
75/5= 15ml per 1/12
15x9= 135ml total
Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
Answer:
{x: x ∈ ℝ, x ≥ 0}
Step-by-step explanation:
The relation is only defined for non-negative values of x, so that is what the domain consists of: real numbers greater than or equal to zero.
Answer:
1.)21°
2.)51°
3.)73°
4.)50°
Step-by-step explanation:
1.) 90° - 69°
= 21°
2.) 90° - 39°
= 51°
3.) 90° - 17°
= 73°
4.) 90° - 40°
= 50°
1/3x=20
1st step do the opposite of 1/3x to get it by itself. So you would do 1/3x *3/1 than you would do 3/1 *20. What you do to that side you do to the other.
2nd step 20*3=60
3rd You can check your answer by doing 1/3 *60=20
I plugged the answer in the variable to Check it
