A triangle has sides with lengths of 8 kilometers, 13 kilometers, and 16kilometers. Is it a right triangle?

Answers

Answer 1

Answer: No, It’s not a right triangle.
We can prove by using Pythagoras theorem
Let the longest length be hypotenuse and shortest length be base now,

h^2=p^2+b^2
16^2=13^2+8^2
256=169+64
246=233

Hence it is not equal with hypotenuse
In right triangle the sum of the squares of two short sides should be equal to hypotenuse

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If $75 is invested at an interest rate of 8% per year and is compounded monthly, how much money is in the account in 15 years?

Answers

The amount of money is $248.02.

Principal amount = P=75

Interest rate = r = 8% = 0.08

Number of years = t = 15

Number of times compounded in a year = n = 12

A = Amount after t years.

After 15 years there will be:

$A=P\left(1+(r)/(n)\right)^(nt)\nA=75\left(1+(0.08)/(12)\right)^(\left(12\cdot15\right))\nA=248.019110806\nA \approx 248.02$

Learn more: brainly.com/question/10241002

Answer:

$248.03

Step-by-step explanation:

The formula you use for this is as follows:

$A(t)=P(1+(r)/(n))^(nt)$

where A(t) is the amount after the compounding is done, P is the initial amount invested, r is the interest rate in decimal form, n is the number of times the compounding is done per year, and t is the time in years. Using that information and filling in our equation gives us this:

$A(t)=75(1+(.08)/(12))^((12)(15))$

which simplifies down to

$A(t)=75(1+.0066667)^(180)$

which simplifies further to

$A(t)=75(3.307118585)$

which multiplies to $248.0338938. Round to the nearest cent to get your answer.

Help please............

Answers

Answer:

(9x -2)(9x +2)

Step-by-step explanation:

Each of the terms in the difference is a perfect square, so the "perfect square trick" applies. The factors are the sum and difference of the square roots of the given terms.

√(81x²) = 9x
√4 = 2

81x² - 4 = (9x +2)(9x -2)

A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial.(a) What is the probability that all four computers fail on one day?(b) What is the probability that at least one computer fails on a day?(c) What is the mean number of days until a specific computer fails?

Answers

Answer:

A) 0 , B) 0.0199 , C) 200

Step-by-step explanation:

Let X denotes no. of computers fail on day

X ~ Bin (n = 4 , p = 0.05)

A] P (X = x) = (n c x) p^x q^n-x

P (X = 4) = (4 c 4) (0.005)^4 (0.995)^0

(0.05)^4 ~ 0

B] P (X > 1) = 1 - P (X < 1) = 1 - P (X = 0)

1 - { ( 4 c 0) (0.005)^0 (0.995)^ 4 }

1 - (0.995)^ 4 ~ 0.0199

C] Let Y depict mean number of days until a specific computer fails

Y ~ Geom (p = 0.005)

Mean = E (Y) = 1/p = 1/0.05 = 200

Question 1Two packs of toilet rolls are available in the
supermarket 9 toilet rolls for £3.15 4 toilet rolls for £1.36
Work out which pack offers the best value for money.

Answers

Answer:

for the nine toilet pack, a toilet roll is 3.15/9 which is£0.35 while for the 4 toilet roll pack, a toilet roll is 1.36/4 which is £0.34 so the nine toilet pack gives the best value for money because a toilet roll sells for £0.35 which is £ 0.01 more than the four toilet pack

Drag each description to the correct location on the chart. In a large single-elimination basketball tournament, the first round of play begins with 64 teams. In each successive round, the number of teams remaining in the tournament is reduced by half. This relationship can be described by the following exponential function. When this relationship is graphed, determine the quantity and axis that will represent each of the variables. x-axis y-axis Teams Remaining Tournament Round

Answers

After the first round only 32 teams will left.

After the second round 16 teams will left.

After the third round 8 teams will left.

After the fourth round only 4 teams will left.

After the fifth round only 3 teams will left.

After the sixth round only 1 team will left.

What is independent and dependent variable?

If x and y are two variables in an algebraic equation and every value of x is linked with any other value of y, then 'y' value is said to be a function of x value known as an independent variable, and 'y' value is known as a dependent variable.

What is an exponential function?

An exponential function is a mathematical function in the form f(x) = $a^(x)$ where x is a variable, and a is a constant called the base of the function.