Answer:
Step-by-step explanation:
d^4-81
(d^2)^2-(9)^2
Using formula
(d^2+9)(d^2-9)
Answer:
Step-by-step explanation:
Let's graph both functions
The solutions are the coordinates of the intersection point
The intersection point is (-7,5)
So
● x = -7
● y = 5
The area of a regular polygon<span> is given by the formula which is expressed as:
</span>area = (½)(apothem<span>)(perimeter)
</span>
We calculate as follows:
area = (½)(7<span>)(7.2 x 5)
</span>area = 126 square units
Hope this answers the question.
The amount of rim needed for each window is 141.4 in
<h3>How to find the length of the outer rim?</h3>
Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.
<h3>What is an arc?</h3>
An arc is part of section of the circumference of a circle
<h3>What is the length of an arc?</h3>
So, length of arc, L = Ф/360 × 2πR where
- Ф = central angle of arc and
- R = radius of circle.
Gven that for the window rim
- Ф = angle of the rim = 270° and
- R = radius of the rim = 30 in
Substituting the values of the variables into the equation for L, we have
L = Ф/360 × 2πR
L = 270°/360° × 2π × 30 in
L = 3/4 × 2π × 30 in
L = 3/2 × π × 30 in
L = 3 × π × 15 in
L = 45π in
L = 141.37 in
L ≅ 141.4 in
So, the amount of rim needed for each window is 141.4 in
Learn more about length of an arc here:
brainly.com/question/8402454
#SPJ1
To solve this problem, we have to find the perimeter of the shape.
we already know that two of the sides are 82m, all we need to do is find the circumference of the semicircles.
to find circumference, you multiply the diameter of a circle by pi. since we have two identical semicircles, we have one full circle. 66•3.14=207.24
207.24+82+82=371.24
the answer is 371.24m
