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Tomtit [17]
3 years ago
15

Solve for x, find the simplified radical & decimal

Mathematics
1 answer:
Ronch [10]3 years ago
4 0

Answer:

x = 6\sqrt{2} = 8.485

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is \sqrt{2} times the length of a leg.

So, if you are given the hypotenuse, then divide its length by \sqrt{2}

x = 12/\sqrt{2} = 12\sqrt{2}/2 = 6\sqrt{2} = 8.485

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On the packaging for a triangular sail, the edge measurements for the sail are listed as
Colt1911 [192]

Answer: It is an obtuse triangle I think beause more than one side is more than a 90 degree angle

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Point b is the midpoint of ac-. if ab= 4x+2 and ac=10x-6, find the length of ac
Natasha2012 [34]

let's bear in mind that B is the midpoint and thus it cuts a segment into two equal halves.

\bf \underset{\leftarrow \qquad \textit{\large 10x-6}\qquad \to }{\boxed{A}\stackrel{4x+2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{\underline{4x+2}}{\rule[0.35em]{10em}{0.25pt}\boxed{C}}} \\\\\\ AC=AB+BC\implies 10x-6=(4x+2)+(4x+2)\implies 10x-6=8x+4 \\\\\\ 2x-6=4\implies 2x=10\implies x=\cfrac{10}{2}\implies x= 5 \\\\[-0.35em] ~\dotfill\\\\ AC=(4x+2)+(4x+2)\implies AC=[4(5)+2]+[4(5)+2] \\\\\\ AC=22+22\implies AC=44

3 0
3 years ago
A square with side x is changing with time where x(t)=3t+1. What is rate of change of the area of the square when t=2 seconds.
GuDViN [60]

Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: A(x) = x^2 but we aim to find \frac{dA}{dt}. But we can use the chain rule to pull out that dA/dt. Doing so gives us:

\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.

Now, \frac{dA}{dx} = 2x (by the power rule and \frac{dx}{dt} = 3.

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.

7 0
3 years ago
John’s gross pay for the week is $500. He pays 1.45 percent in Medicare tax, 6.2 percent in Social Security tax, 2 percent in st
olchik [2.2K]
Gross pay = 500

deductions :
medicare tax : 0.0145(500) = 7.25
S.S tax : 0.062(500) = 31.00
sales tax : 0.02(500) = 10.00
income tax : 0.2(500) = 100
insurance = 20
total deductions : 7.25 + 31 + 10 + 100 + 20 = 168.25

gross pay - deductions = net pay
500 - 168.25 = net pay
331.75 = net pay <===
7 0
3 years ago
Consider the baggage check-in process of a small airline. Check-in data indicates that from 9am to 10am, 220 passengers checked
Lady bird [3.3K]

Answer:

3.6 minutes.

Step-by-step explanation:

According to the data given in the question, between 9 and 10 AM, 220 passengers have checked in which means that the check-in rate is 3.6 passengers per minute. If the average number of passengers waiting for check-in is 32 and if we assume that the check-in rate is constant throughout the day, then the average passenger had to wait in line for 3.6 minutes.

4 0
3 years ago
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