Hey there!
Let's first find an easier situation.
If we're saying:
How many fives are in ten?
We're doing 10 divided by 5, because we're seeing how many 5's go into 10.
It's no different here.
We will be doing 6 divided by 3/4, just as we did with our simpler situation.
Using our "keep, switch, flip" rule (keep first term, change to multiplication, take reciprocal of second term)
we get:
6 divided by 3/4
=
6 * 4/3
= 24/3
= 8 3/4's in 6.
Hope this helps!
Answer:
∛V / (4/3π) = r
Step-by-step explanation:
V = 4/3πr³
Try to isolate r if you want to solve for it.
So divide everything that's not r from the right side in order to move it to the left side of the equation.
V / (4/3π) = r³
Then since it is raised to the power of 3 , just cube root the other side in order to undo the exponent. This is so you can isolate r.
∛(V/(4/3π)) = r
Answer:When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a
Step-by-step explanation:
Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
Answer:

Step-by-step explanation:
Given


Required
Write an inequality to represent the scenario?
Represent the additional number of pounds with p.
When p is added to the current pounds, the weight must be less than or equal to the total possible weights
In other words:

Substitute values for current and total

Hence, the inequality that describes the scenario is: 