Answer:
9^4
Step-by-step explanation:
There is 4 nines.
9*9*9*9 = 6561
9^4 = 6561
9^3 = 729
Which means she ran 4160 miles long
if this isn't the answer you wanted, please be more precise
BC is 10 units and AC is
units
Step-by-step explanation:
Let us revise the sine rule
In ΔABC:

- AB is opposite to ∠C
- BC is opposite to ∠A
- AC is opposite to ∠B
Let us use this rule to solve the problem
In ΔABC:
∵ m∠A = 45°
∵ m∠C = 30°
- The sum of measures of the interior angles of a triangle is 180°
∵ m∠A + m∠B + m∠C = 180
∴ 45 + m∠B + 30 = 180
- Add the like terms
∴ m∠B + 75 = 180
- Subtract 75 from both sides
∴ m∠B = 105°
∵ 
∵ AB = 
- Substitute AB and the 3 angles in the rule above
∴ 
- By using cross multiplication
∴ (BC) × sin(30) =
× sin(45)
∵ sin(30) = 0.5 and sin(45) = 
∴ 0.5 (BC) = 5
- Divide both sides by 0.5
∴ BC = 10 units
∵ 
- Substitute AB and the 3 angles in the rule above
∴ 
- By using cross multiplication
∴ (AC) × sin(30) =
× sin(105)
∵ sin(105) = 
∴ 0.5 (AC) = 
- Divide both sides by 0.5
∴ AC =
units
BC is 10 units and AC is
units
Learn more:
You can learn more about the sine rule in brainly.com/question/12985572
#LearnwithBrainly
Answer:
D. x = 7
Step-by-step explanation:
NOTE : <u><em>there should be an equal sign somewhere in the given expression.</em></u>
suppose the equation is the following:
3(x-4)-5 = x-3
………………………………………………………
3(x - 4) - 5 = x - 3
⇔ 3x - 12 - 5 = x - 3
⇔ 3x - 17 = x - 3
⇔ 3x - 17 + 17= x - 3 + 17
⇔ 3x = x + 14
⇔ 2x = 14
⇔ x = 14/2
⇔ x = 7
So you have x^3 - 4x = 0. What you can do is pull out an x from both x^3 and - 4x so it looks like this:

Then you can find a number that makes the part inside the parentheses turn into zero. For beginners, it may be easier to write it out seperately and solve for x.

We need to solve for x, so the first step is to add 4 to both sides, so we get something like this:

Then, we can square root both sides to get rid of the power on the x, so it looks like this:

Now, every square root has two answers, a positive and a negative. If we look at the bottom example:


We can see that both -2 and 2 to the power of two will equal to 4.
So finally, we get:

These are the other 'Zero's for the original function. If you are not sure of what a 'Zero' is, it is where the function crosses over the x-axis on a graph.