Answer: 13.4 kilograms
Step-by-step explanation:
Because apples, bananas, and peaches are all fruits, all we need to do is add them together to find the total.
8.5 + 3 + 1.9 = 13.4
Be careful! Sometimes, the question will include objects that <em>aren't</em> fruits. Don't include those in your equation if it asks for the weight of the fruit (like in this question). That's extra information that you'll need to look out for in the future.
Don't forget your units (kilograms) and good luck!
For this case, we can model the problem as a rectangle triangle.
We know the height of the triangle.
We know the angle between the base of the triangle and the hypotenuse.
We want to find the base of the triangle.
For this, we use the following trigonometric relationship:
tan (70) = 39 / x
Clearing x we have:
x = 39 / tan (70)
x = 14.2 feet
Answer:
The distance between the base of the building and the base of the ladder is:
x = 14.2 feet
Between two rational numbers there are an infinite number of irrational numbers.
Example:
Answer:
P = (2, 7)
Step-by-step explanation:
You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.
<h3>Equation for P</h3>
For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...
P = A +q(B -A) = (1 -q)A +qB
<h3>Application</h3>
For q = 3/4, the location of P is ...
P = (1 -3/4)A + 3/4B = (A +3B)/4
Using the given point coordinates, we have ...
P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4
P = (2, 7)
Group like terms
-4g^4 - 3g^3 + g^2 + 3g^2 + 5g + 9 - 6
combining like terms:-
= -4g^4 - 3g^3 + 4g^2 + 5g + 3