Answer:
1) The variable is x
2) 
Solving the inequality we get x>34
3) 
, solving the inequality we get b>10.2
Step-by-step explanation:
1. Define the variable:
The variable is x
2) Trini needs more than 51 cubic feet of soil to top up his raised garden. Each bag of soil contains 1.5 cubic feet. Write and solve an inequality to find how many bags of soil Trini needs.
Solving the inequality
Solving the inequality we get x>34
3) Write the inequality:
5 times b greater than 51
4) Solving the inequality
So, solving the inequality we get b>10.2
6/938 = 0.006 I think that’s correct
These are both independent events because 1 spin does not effect the other.
P(1st spin is 3) = 1/8
P(2nd spin is 7) = 1/8
P(both) = 1/8 * 1/8 = 1/64
Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
Given the triangles ABC and EDC
We will find the transformation that makes the triangles are similar
As shown: the triangles are reflected over the y-axis
the rule of the reflection over the y-axis will be as follows:
And as shown, the length of the side AB = 3 units
And the length of the side ED = 1 units
So,
So, the answer will be:
D) (x,y) ⇒ (-x, y)
E) (x,y) ⇒ (1/3 x, 1/3 y)
