Answer:
BC = 15
Step-by-step explanation:
Because of parallel lines, AD and BE, triangles ADC and BEC are similar.
In similar triangles, the lengths of corresponding sides are proportional.
AC/BC = DC/EC
We see that AC = AB + BC = 3 + BC
Also, DC = DE + EC = 2 + 10 = 12
(3 + BC)/BC = 12/10
(3 + BC)/BC = 6/5
Cross multiply.
5(3 + BC) = 6BC
15 + 5BC = 6BC
15 = BC
BC = 15
Answer:
Step-by-step explanation:
If a cubes diagonal measures you can solve for its sidelength by creating a triangle. Visualize the diagonal as the hypotenuse of our triangle inside the cube. Then, one of the legs would be the side of the cube itself, and the other leg would be the diagonal of the bottom side of the cube. Knowing this is a cube, we can call each side s. If each side is s, then the diagonal of the bottom face is ( this is a special triangle property, triangle.) Then we know our triangle is a right triangle, so we can use the Pythagorean theorem to solve for s.
Solve this equation for s.
Since we now found the side length of the cube, we can find its volume by cubing the side length:
64
80 80
thats how you havw to put it
Answer:
80/100 is 80%
Step-by-step explanation:
y ≥ 0
y > 2
y ≥ 2
The range of the function f(x) : is y > 0.
The correct option is (A)
The definition of range is the set of all possible values that the function will give when we give in the domain as input.
Given function is :
If we draw the graph for this, then we can see that the horizontal asymptote is 0.
So, the range is real numbers higher than 0.
Hence, the range should be y > 0.
Learn more about this concept here:
#SPJ2
–0.7
0.9
0.7
Answer:
x = 14.5
Step-by-step explanation:
I don't understand the 1st answer, so I'll have a go.
If you've written it correctly, wouldn't you just add everything up? The parentheses are irrelevant the way it's written:
(6x + 1) + (6x + 5) = 180 becomes:
6x + 1 + 6x + 5 = 180 Combine like terms:
12x + 6 = 180
12x = 174
x = 14.5
But since it doesn't come out to be a whole number, maybe you've written the question wrong? Could it be:
(6x + 1)(6x + 5) = 180
+ 36x + 6 = 180
+ 36x - 174 = 0
Then you could apply the quadratic formula.
You'd get x = 1.75 or - 2.75.
Those are weird numbers, so I suspect your question isn't really the product of those two expressions.