Answer:
-15
Step-by-step explanation:
2 * (-4+2) = -6
-6 - 9 = -15
1/3(a + b) = 60
a + b = 60 * 3 = 180
1/4(a - b) = 28
a - b = 28 * 4 = 112
a + b = 180
a - b = 112
---------------add
2a = 292
a = 292/2
a = 146
a + b = 180
146 + b = 180
b = 180 - 146
b = 34
so ur 2 angles are : 146 and 34
Answer:
A cone with diameter 6 units
Step-by-step explanation:
Rotating the triangle about line m will give us a cone with radius 3
If the radius is 3, the diameter is 2*r = 2*3 = 6
Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while
Jack can write it in 16 hours. How long will it take them to write the program together?
Answer: 9.6 hours
Answer:
a = 2/3
Step-by-step explanation:
A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.
a = 2/3
_____
<em>Additional comment</em>
You can see the relationship between a root index and an exponent if you consider what the root means.
Consider a cube root, for example. When you cube the root, you get the original number:
(∛x)·(∛x)·(∛x) = x
Now, let's write the root as a power of x: x^a.
(x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x
We know this product is ...
x^(a+a+a) = x^(3a) = x^1
This tells us that ...
3a = 1 ⇒ a = 1/3
That is, ∛x = x^(1/3).
Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).
