Answer:
2.5 square feet
Step-by-step explanation:
The area (A) of a regular hexagon in terms of its side length (s) is ...
A = (3/2)(√3)s²
The side length in feet is ...
(30 cm)×(1 ft)/(30.48 cm) = s = 30/30.48 ft = 125/127 ft
Then the area in square feet is ...
A = (3/2)√3(125/127 ft)² ≈ 2.517 ft²
The approximate area of the hexagon is 2.5 square feet.
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<em>Comment on the question</em>
There is nothing in this problem statement that relates the hexagon to the window area.
Answer:
32
Step-by-step explanation:
The sides of the quadrilateral are tangents to the circle.
Tangents drawn from an external point to the circle are congruent
5+5+4+4+3+3+4+4=32
Answer:
there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.
Step-by-step explanation:
Given that:
A marketing organization claims that more than 10% of its employees are paid minimum wage.
The null hypothesis is:

The alternative hypothesis is:

If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted
i.e Decision Rule: fails to reject the null hypothesis
Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.
In a flowchart proof, <u>statements</u> and <u>conclusions</u> are connected with arrows.
In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.
As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.
See the diagram below.
Side note: the box on the left is also considered the antecedent because it comes before the conclusion.
The first term (a) is - 18
You add 5 to get to the next term. Or you can solve it by taking any 2 consecutive terms and find their difference.
Formula
d = t4- t3
Givens
t4 = - 3
t3 = - 8
Solution 1
d = t4 - t3 Substitute
d = -3 - ( - 8) Remove the brackets
d = -3 + 8 Combine
d = 5 Difference
Remark
Find the general formula
tn = - a + (n - 1)d Substitute
So term 20 = Example
t20 = -18 + (20 - 1)*5 Combine the inside of the brackets. Remove the brackets
t20 = - 18 + 19*5 Combine 19 and 5
t20 = -18 + 95 "Subtract"
t20 = 77 Answer