The perimeter of the rectangle as a function of w only is P(w) = 2[√(324 - w²) + w]
The perimeter of the rectangle P = 2(h + w)
Since the diagonal is D = 18 feet, using Pythagoras' theorem, we have that
D² = h² + w²
So, making h subject of the formula, we have
h = √(D² - w²)
h = √(18² - w²)
h = √(324 - w²)
Since the perimeter of the rectangle P = 2(h + w), substituting the value of h into P, we have
P = 2(h + w)
P = 2[√(324 - w²) + w]
P(w) = 2[√(324 - w²) + w]
So, the perimeter of the rectangle as a function of w only is P(w) = 2[√(324 - w²) + w]
The angle θ as a function of w only is θ(w) = sin⁻¹[w/18]
Using trigonometric functions, sinθ = w/D
since D = 18, substituting the value of D into the equation, we have
sinθ = w/18
Taking inverse tan of both sides, we have
θ = sin⁻¹[w/18]
θ(w) = sin⁻¹[w/18]
So, the angle θ as a function of w only is θ(w) = sin⁻¹[w/18]
Learn more about perimeter of a rectangle here:
brainly.com/question/7538991
The cost of TV is $ 792 and cost of DVD player is $ 264
<u>Solution:</u>
Given, total cost of television and dvd player = 1056
The cost of the television is three times the cost of the dvd player.
Now, let the cost of DVD player be "n", then the cost TV will be (1056 – n)
And, we know that, cost of TV is 3 times Cost of DVD


So, the cost of DVD player is $264, the cost of TV will be (1056 - 264) = $792
2 terms! hope this helps :)
Answer:
Option C 41%
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The number of people who own at most three t-shirts costing more than $19 each is equal to the number of people who own one t-shirt costing more than $19 each, plus the number of people who own two t-shirt costing more than $19 each, plus the number of people who own three t-shirt costing more than $19 each
Observing the graph
The number of people who own one t-shirt costing more than $19 each is 5
The number of people who own two t-shirt costing more than $19 each is 17
The number of people who own tree t-shirt costing more than $19 each is 23
The number of people who own at most three t-shirts costing more than $19 each is

To find out the percentage divided the number of people who own at most three t-shirts costing more than $19 by one hundred eleven people (total people that shopped in a store) and then multiply by 100

Round to the nearest whole number

Remember that a conditional statement (
p→q) is an if-then in which the first part,
p, is the hypothesis and the second part,
q, is the conclusion.
1. Here the set
m<span>
∠A=40° is a subset of the set
Acute Angles, so </span>
m∠A=40° is the hypothesis and
Acute Angles is the conclusion.
In other words:
m∠A=40°→∠A is an Acute Angle
if m∠A=40°,
then ∠A is an Acute Angle
We can conclude that the conditional statement that describes the Venn diagram is:
if m∠A=40°, then ∠A is an Acute Angle2. Just like before, the set

is a subset of the set

; therefore,

is the hypothesis and

is the conclusion.
In other words:

→
if 
,
then 
We can conclude that the conditional statement that describes the Venn diagram is:
if 
,
then