Answer:
5 feet
Step-by-step explanation:
The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation,
where y is the height above water and x is the horizontal distance in feet.
If a beam of light is shone upward at an angle modeled by the equation
A beam of light hit the dolphin.
So, line must be intersect path of dolphin.
Using substation method,
Substitute y=10-x into dolphin equation.
Hence, The beam hit dolphin at 5 feet.
Two assumptions: the deposit is made at the beginning of the month
and that the amount accumulates for 70 years (not until you are 70).
A = final amount
d = amount of deposit
r = rate if interest
n = number of deposit/calculations per year
t = number of years
A = d { ((1 + r/n )nt+1 - (1 + r)) / r }
A = 100 { ((1 + 0.00583)841 - (1 + 0.00583)) / 0.07 }
A = 100 { (132.793 - 1.0053) / 0.07 }
A = 100 · 1882.68143
A = 188,268.14
After 70 years you shall have $188,268.14. No wonder Einstein called compound interest the eighth wonder of the world.
1) We want to find the area of the triangular bases, which means both shown in the net. So, normally we would divide the area by 2 (from the formula), but since we are finding the area of two triangles, that isn't necessary.
A = 8 x 3
2) There are two different sized rectangles here. One that is repeated twice and the other that is on its own. We know that A and C are the same, and if we think about how this net is folded, we can determine that the width of A and C would be 5 cm. For both sized rectangles, the length is 12 cm. For rectangle B, we can see that its width is 8 cm.
A = (8 x 12) + (5 x 12)
3) Now that we have all of the expressions needed to find the surface area, what we need to do is evaluate each of them and add them together to find the total surface area.
Triangles = 8 x 3 = 24
Rectangles = (8 x 12) + (5 x 12) = 96 + 60 = 156
Surface area = 24 + 156 = 180 square centimeters
Hope this helps! :)
Problem 1, part (a)
<h3>Answer: False</h3>
For instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.
====================================================
Problem 1, part (b)
<h3>Answer: true</h3>
This is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.
====================================================
Problem 2
I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.
Answer:
3(5x^2-3yz)(xz+2)
Step-by-step explanation: