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11111nata11111 [884]
3 years ago
11

I need help please! ​

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer/Step-by-step explanation:

Area of trapezium = ½*(AD + BC)*AB

Area = 42 cm²

AD = (x + 8) cm

BC = (x + 5) cm

AB = x cm

Plug in the values into the equation

42 = ½((x + 8) + (x + 5))*x

42 = ½((x + 8 + x + 5)*x

42 = ½(2x + 13)*x

Multiply both sides by 2

42*2 = (2x + 13)*x

84 = 2x² + 13x

2x² + 13x = 84

Subtract both sides by 84

2x² + 13x - 84 = 0

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Why does the equation (x-4)^2-28=8 have two solutions?
Aliun [14]
<h3>Answer:</h3>

For your first answer it is because they are two different ways to solve the equation

<h3>Step-by-step explanation:</h3>

For Example!

<h2>Solution 1:</h2>

(x-4)² – 28 = 8The 8 is positive making it a different equation (this is like absolute value). (I am assuming you know the answer to the probelm)

<h2>Solution 2:</h2>

(x-4)² – 28 = -8

The 8 could be negative meaning that when you add the 28 to the right side it is -8+28 which will be a negative!

<h3>I hope this helps</h3><h2>IF IT DOES HELP PLEASE GIVE IT A BRAINLIEST!</h2>
4 0
2 years ago
Read 2 more answers
If a company buys an item at a wholesale price of $45, which of the following would make sense as a retail price to charge the c
boyakko [2]

Answer:

Step-by-step explanation:

buys it for $ 45

well...you know the business is gonna want to make a profit...so they would have to sell it for more then they bought it for.

I would say $ 60 or $ 80

4 0
3 years ago
Matthew earned $75 in interest on
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

The formula for simple interest is

I = Prt,

where I is the interest earned,

P is the initial investment amount,

r is the interest rate in decimal form, and

t is the time in years.  For us,

I = 75,

P = ?

r = .05

t = 1

Filling in what we were given:

75 = P(.05)(1) and

.05P = 75 so

P = 1500

8 0
3 years ago
I’m confused in the exponential
Anna [14]

Answer:

this mean in case of multiplying exponents with same base you should add the exponent and keep base same.

example:

{6}^{4}  \times  {6}^{5 }  =  {6}^{4 + 5}  \\  =  {6}^{9}

4 0
2 years ago
BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time. A test is conducted by randomly selectin
Strike441 [17]

Answer:

0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either they arrive late, or they do not. The probability of a flight arriving late is independent of any other flight. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time.

This means that 100 - 80 = 20% are late, which means that p = 0.2

Randomly selecting 16 BlueSky Air flights

This means that n = 16

What is the probability that 2 flights of BlueSky Air arrive late?

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.211

0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late

6 0
3 years ago
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