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3 years ago

Is 8in, 15in, 17in a right triangle

Mathematics

2 answers:

Phoenix [80]3 years ago

6 0

Answer:Yes

Step-by-step explanation:

a^2 + b^2 = c^2

C is the hypotenuse which is the longest side, b is the second longest and a is the shortest one

ddd [48]3 years ago

4 0

${8}^{2} + {15}^{2} = 64 + 225 = 289 \\ {17}^{2} = 289 \\ \Rightarrow {8}^{2} + {15}^{2} = {17}^{2} \\ \Rightarrow A \: right \: triangle$

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A bag contains 40 coins, all of them are either 2 cent or 5 cent coins. If the value of the money in the bag is $1.55, find the

dlinn [17]

Answer: Explanation:First, let's call the number of 2 cent coins: tNext, let's call the number of 5 cent coins: fWe can then write to equations from the information in the problem.Equation 1: t+f=40Equation 2: 0.02t+0.05f=1.55Step 1) Solve the first equation for t:t+f=40t+f−f=40−ft+0=40−ft=40−fStep 2) Substitute (40−f) for t in the second equation and solve for f:0.02t+0.05f=1.55 becomes:0.02(40−f)+0.05f=1.55(0.02×40)−(0.02×f)+0.05f=1.550.80−0.02f+0.05f=1.550.80+(−0.02+0.05)f=1.550.80+0.03f=1.550.80−0.80+0.03f=1.55−0.800+0.03f=0.750.03f=0.750.03f0.03=0.750.030.03f0.03=25f=25Step 3) Substitute 25 for f in the solution to the first equation at the end of Step 1 and calculate t:t=40−f becomes:t=40−25t=15The Solution Is:There are:15 two cent coins25 five cent coins

Step-by-step explanation:

5 0

2 years ago

Given a right triangle with legs a, b and hypotenuse c, solve for b if a= 72 and c= 75

kotykmax [81]

Answer:

The answer is a. 21.

Step-by-step explanation:

We solve this question by using Pythagoras theorem to relate the sides of a right angled triangle.

Here,

Hypotenuse of the given triangle(c)=75

Two sides of right angled triangle are:

a=72

b=?

Then,

for a given right angled triangle abc,

Using Pythagoras theorem,

$c=\sqrt{a^{2} +b^{2} }$

Squaring on both sides,

$c^{2} =a^{2}+b^{2}$

or, $75^{2}=72^{2}+b^{2}$

or, $b^{2}=75^{2}-72^{2}$

or, $b^{2}=5625- 5184$

or, $b^{2} =441$

∴ $b=21$

So, the value of b is obtained to 21 by the use of Pythagoras theorem.

7 0

3 years ago

Find the point estimate for the true difference between the given population means. Round your answer to three decimal places.

uranmaximum [27]

Answer:

Point Estimate for different between population means = - 0.99

Step-by-step explanation:

We are given data of two samples and we have to find the best point estimate of the true difference between two population means. Remember that in absence of data about population the best estimator is the sample data. So, we will find the means of both sample data and find the difference of that means. This difference between the means of sample data will be the best point estimate for the true difference between the population means.

Formula to calculate the mean is:

$Mean=\frac{\text{Sum of Values}}{\text{Number of Values}}$

Mean of Sample 1:

$Mean=\frac{1414}{11}=128.55$

Mean of Sample 2:

$Mean=\frac{1684}{13}=129.54$

Therefore the best point estimate for difference between two population means would be = Mean of Sample 1 - Mean of Sample 2

= 128.55 - 129.54

= - 0.99

8 0

3 years ago

Adidea Corp. estimates that $5,670 of its accounts receivables are uncollectible. How will the company record the transaction?

sergiy2304 [10]

Answer:

The transaction will be recorded by the company as :

DR : Non-collectibles $5670

CR : Accounts receivable $5670

Step-by-step explanation:

Amount of money estimated = $5670

The amount which is non-collectible is recorded as a DEBIT transaction by the company because the amount in the non-collectible account can't be received by the company.

But, the amount in the receivables is the amount which is available for receiving and can be received by the company. So, receivable transaction is marked as CREDIT by the company.

Thus, the transaction will be recorded by the company as :

DR : Non-collectibles $5670

CR : Accounts receivable $5670

4 0

3 years ago

17+(-4)-4/5j-2/5j+6

Snowcat [4.5K]

Answer:

19 - (6/5)j

Step-by-step explanation:

In this expression we have addition, subtraction and multiplication.

According to order of operations rules, mult. and div. must be carried out before add. or subt.

Therefore, we begin with 17+(-4), which becomes 17 - 4, or 13.

Next we see -4/5j, by which I assume you mean -4/5 * j.

Summarizing what we have so far:

13 - (4/5)j - 2/5j + 6

Combining the j terms, we get

13 - (6/5)j + 6, which collapses to 19 - (6/5)j.

7 0

3 years ago