No, 9/12 is equivalent to 3/4.
Hope this helps.
3-5x = -5
X =8/5
I hope this helps
Answer:
it's the second option. the second box is the answer. hope this helps
The ladder, leaning against the building, forms a right triangle with height "a" being the distance from the ground to the window, and hypotenuse "c" being the length of the ladder.
Because it's a right triangle, we can use trigonometric ratios to find the angles we're missing.
For part A), to solve for the angle between the base of the ladder and the ground, you'll want to use sine, because we know the lengths of the opposite side and the hypotenuse.
Sin(x) = a/c , solve for angle x in degrees or radians.
For part B), finding the angle between the top of the ladder and the building, remember that the sum of the angles in a triangle is 180 degrees, or pi radians, depending on which unit your teacher prefers.
Assuming degrees, we can say that angle y = 180-90-x. You are simply subtracting the two known angles to find the third.
For part C) use the Pythagorean theorem. You're looking for the length of the base, "b". Recall:
a^2 + b^2 = c^2
Plug in the known values, and solve for b.
Answer:
Step-by-step explanation:
Let d represent the number of dimes. Then 81-d is the number of nickels and the total value in cents is ...
10d +5(81-d) = 530
5d +405 = 530 . . . eliminate parentheses
d +81 = 106 . . . . . divide by 5
d = 25 . . . . . . . . . subtract 81; number of dimes
81 -d = 81 -25 = 56 . . . . . number of nickels
There are 25 dimes and 56 nickels in the box.
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<em>Comment on the method of solution</em>
It usually works well to let the variable represent the amount of the highest-value contributor (dimes). This keeps the numbers positive as the solution progresses.