Determine whether the relation is a function. {(-7, -1), (-3, -6), (-2, -7), (2, -2)} -A. Not a function -B. Function

Answers

Answer 1

Answer:

Answer: Function

Reason:

Plot the points on the same xy grid. After doing so, you should find that the graph passes the vertical line test, which means we have a function.

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find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. round your answer to the nearest tenth. show all your work

Answers

The answer is 374.4 yards.

There are 2 ways to calculate the area of a a regular hexagon.
It is given:
apothem: b = 10.4 yards
side: a = 12 yards

1. The direct way is to use the formula for the regular hexagon without using an apothem:
$A= (3 √(3) )/(2) a^(2)$
where
A - the area of the hexagon
a - the side of the hexagon

Therefore:
$A= (3 √(3) )/(2) 12^(2)$
$A= (3 √(3) )/(2) 144$
$A= 374.4$

2. The indirect way is to sketch the hexagon with 3 diagonals and create 6 triangles. Then, it is necessary to calculate the area of one triangle and multiply it by 6. In this triangle, apothem is actually the height.
The area of the hexagon is:
A = 6 · A₁
where:
A - the area of the hexagon,
A₁ - the area of the triangle

$A_(1)= (a*h)/(2)$

where
h - height of the triangle.

Since apothem (b) of the hexagon is the height (h) of the triangle, then:
$A_(1)= (a*h)/(2)$
$A_(1)= (12*10.4)/(2)$
$A_(1)= 62.4$

Thus, the area of one triangle is 62.4 yards.

To calculate the area of the hexagon, we will multiply it by 6:
A = 6 · A₁
A = 6 · 62.4
A = 374.4 yards

In both cases, the result is 374.4 yards.The answer is

Gibraltar Construction was granted a 1-year construction loan of $650,000 to finance the construction of an apartment complex. Gibraltar borrowed the money from Citizens Trust at an interest rate of 0.75% ordinary interest over the prime rate. What was the maturity value of the loan if the prime rate is 8.75%?

Answers

Given:
loan: 650,000
prime rate: 8.75%
interest rate of 0.75% ordinary interest over the prime rate

Interest rate: 8.75% + 0.75% = 9.5%

650,000 x 9.5% x 1 = 61,750 interest

maturity value: 650,000 + 61,750 = 711,750

I would appreciate if u guys would help me rn.

Answers

Answer:

11 is 18.54 ft 12 is 351.86 cm 13 is 109.96 inches

Step-by-step explanation:

If there is a 30% chance of sun tomorrow and a 40% chance of wind and no sun, what is the probability that it is windy, given that it is not sunny? Round your answer to the nearest percent.

Answers

20 percent, hope I helped!

Answr is 20 percent ok

BRAINLIEST!

What is the value of x?

Answers

Answer:

x = 21

Step-by-step explanation:

We know: The sum of the triangle angle measures is 180°.

Therefore we have the equation:

$100+3x+x-4=180\qquad\text{combine like terms}\n\n(3x+x)+(100-4)=180\n\n4x+96=180\qquad\text{subtract 96 from both sides}\n\n4x=84\qquad\text{divide both sides by 4}\n\nx=21$

James regular r pay is 12 dollars an hour plus time and a half how much is his pay for 40hrs regular time and to hours overtime

Answers

Regular pay: $12/hour

Time and a half: $12/hour * 1.5 = $18/hour

40 hours * $12/hour + 2 hours * $18/hour = $480 + $36 = $516

Answer: $516

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Let f(x) = 12 over the quantity of 4 x + 2. Find f(−1).