Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
_____
<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.
Step-by-step explanation:
It is 64*0.32=20.48 minutes or 20.5 minutes.
Answer:
B
Step-by-step explanation:
The given equations satisfy the given conditions. There are 2 equations and 2 unknowns, so a certain solution can be found.
This can be solved using substitution,
Substituting eqn 2 to eqn 1:
2(2y – 10) + 3y =1240
Simplifying,
y = 180
x = 350
The cube root of 343 is 7.
One side has an area of 7*7 = 49 square cm
There are 6 sides to a cube
6 * 49 is the surface area = 294
Answer/explanation
4(3x+5)=-4
You will distribute the four to every term in the parenthesis,
12x+20=-4
Then you will combine like terms
12x+20=-4
-20 -20
12x=-24
Then you will divide 12 to isolate x
Obviously, -24 cancels out and you would get x=-2
