Let
x-----> the measure of the angle formed by the wooden fence and grass
we know that
in a right triangle
tan x=opposite side angle x/adjacent side angle x
opposite side angle x=13 ft
adjacent side angle x=21 ft
so
tan x=13/21x=arc tan (13/21)-----> x=31.76°------> x=32°
the answer is
32 degrees
Circumcerence = distance travelled in one full rotation = 2 x π x 8 = 16π
for 2 minutes and 15 seconds,
multiply 16π by 2.25 as 2 minutes is twice the distance of one rotation and 15 seconds is a quarter more
therefore answer is 36π = 113.1 inches
The saving plan balance is $3,677.53.
Given that,
- The no of months is 18.
- The annual percentage rate is 3% so the monthly rate percentage is 0.25%.
- And, the monthly payment is $200.
Based on the above information, the following formula should be used:
FVA = PMT× [(1+r)^n - 1] ÷ r
= $200 × [(1+ 0.0025)^18 - 1] ÷ 0.0025
= $3,677.53
Therefore we can conclude that the saving plan balance is $3,677.53.
Learn more: brainly.com/question/14191332
Both the general shape of a polynomial and its end behavior are heavily influenced by the term with the largest exponent. The most complex behavior will be near the origin, as all terms impact this behavior, but as the graph extends farther into positive and/or negative infinity, the behavior is almost totally defined by the first term. When sketching the general shape of a function, the most accurate method (if you cannot use a calculator) is to solve for some representative points (find y at x= 0, 1, 2, 5, 10, 20). If you connect the points with a smooth curve, you can make projections about where the graph is headed at either end.
End behavior is given by:
1. x^4. Terms with even exponents have endpoints at positive y ∞ for positive and negative x infinity.
2. -2x^2. The negative sign simply reflects x^2 over the x-axis, so the end behavior extends to negative y ∞ for positive and negative x ∞. The scalar, 2, does not impact this.
3. -x^5. Terms with odd exponents have endpoints in opposite directions, i.e. positive y ∞ for positive x ∞ and negative y ∞ for negative x ∞. Because of the negative sign, this specific graph is flipped over the x-axis and results in flipped directions for endpoints.
4. -x^2. Again, this would originally have both endpoints at positive y ∞ for positive and negative x ∞, but because of the negative sign, it is flipped to point towards negative y ∞.
Answer:
Answer is in pictures
Step-by-step explanation:
36=6x6 90=9x10
256+7=263 104=98+6-2
678=678 81+9=90
