Answer:
Step-by-step explanation:
The rules of exponents state that
= and = 1
Thus
= =
= =
= =
and so on , to
= 1
Answer:
25.6 ft
Step-by-step explanation:
Although the problem here is listed under "Pythagorean theorem" you can't solve it by the Pythagorean theorem simply because you need to know the length of two sides of the right triangle formed by the broken tree and the stump.
But you can use trigonometry.
The broken tee and trunk form a right triangle with the ground.
The stump can be represented by the height of the triangle (10 ft.) while the fallen treetop can be represented by the hyptenuse of the triangle with the ground forming the base of the triangle.
So, we have a right triangle whose height is 10 ft. having an angle opposite the height of 40 degrees.
You are asked to find the original height of the tree so you need to find the length of the fallen treetop (the "hypotenuse") and then you'll add this to the tree stump (10 ft.) to find the original height of the tree. To find the length of the "hypotenuse", you can use the sin funtion of trigonometry because in a right triangle: Sin(A) = Opposite/Hypotenuse where the angle A (40 degrees)is the angle opposite the height (10 ft).
Sin%2840%29+=+10%2Fh where h is the hypotenuse. Solving for h, we get:
h+=+10%2FSin%2840%29
h+=+10%2F0.643
h+=+15.6ft.
Now add this to the 10-ft stump:
10+15.6 = 25.6 ft.
The tree was 25.6 ft originally.
Answer:
39 visits.
Step-by-step explanation:
In order to solve, we must add the cost of the membership and the cost of the visits to get the sum of 46.
$7 is the cost of the membership, so thats going to be the first number we add. If you revist the museum, you will need to pay $1. Now to save time and space, I will not continusely write $1 until we get to 46, but instead, subtract 46 from 7. The difference we get will be the number of visits. I will be using the variable v to represent the difference/maximim number of visits a member of the science museum can make for a total cost of $46.
Current Equation: 7+1v = $46.
46 - 7 = 39.
7+1(39) = 46
Answer:
The area of the figure is 48 cm^2
Step-by-step explanation:
Break it into 3 different quadrilaterals and find the area of each one.