Answer:
y-intercept: (0,-3)
Step-by-step explanation:
- Y-intercepts mean that the x-value has to be equal to 0. When plugging in 0 for the x-value, we receive:
- Therefore, the point is (0,-3).
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.
Depending on the formula you know, you can find the length of a side in 1 of 2 ways.
The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.
c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31
The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31
We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using
a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48
Now solve for the area
Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72
perimeter = 122.48
area = 1131.72
Answer:
Most known one: 4 sides
Step-by-step explanation:
They are closed shapes, their sides should be straight, they are strictly 2 dimensional, and finally, all quadrilaterals have 4 sides.
Answer:
26
Step-by-step explanation :
73 - 47 = 26 brainliest?
Based on the model, the total amount of money in the joined account after the 5 weeks is $767.30
<h3>What are linear equations</h3>
Linear equations are equations that have constant rates
A linear equation is represented as:
y = mx+ b
In this case,
- m represents the deposit per week
- b represents the initial deposit
So, the linear equations are:
- y =153.46x --- for Monica
- y = 128.90+ 127.68x -- For Lauren
To calculate the number of weeks, when they have the same amount, we equate both equations
Collect like terms
Solve for x
Substitute 5 for x in
Hence, it will take 5 weeks for both accounts to have the same amount of $767.30
Read more about linear equations at:
brainly.com/question/14323743
