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laiz [17]
3 years ago
9

1.) Maria thinks (a + b)² = a² + b². Is she correct? Justify your reasoning. ​

Mathematics
2 answers:
Art [367]3 years ago
5 0

Answer:

No, Maria is incorrect.

(a+b)^2 is actually equal to a^2 + 2ab + b^2.

Let me know if this helps!

Sindrei [870]3 years ago
5 0
We now have two formulas for (a+b)², which means we can set equation 1, from earlier, and equation 2 equal to one another.
Image for post
Lastly, subtract 2ab from both sides, and look there’s the Pythagorean theorem!
Image for post

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A is the answer

Step-by-step explanation:

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PLEASE HELP. (30 points)
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Step-by-step explanation:

I think the third slot is even number

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Kylie owes $1,700 on her credit card. The bank charges a monthly interest rate of 0.925%. If Kylie wants to pay off her credit c
aksik [14]

Answer:

$221.44

Step-by-step explanation:

As the bank charges a <em>monthly </em>interest, we cannot calculate a simple or compound interest over the 8 month period.  As the balance will decrease each month as Kylie makes payments, the interest applied each month will also decrease.  Therefore, we have to use:

<u>Monthly Payment Formula</u>

\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}

where:

  • PMT = monthly payment
  • P = loan amount
  • i = interest rate per month (in decimal form)
  • n = term of the loan (in months)

Given:

  • P = $1,700
  • i = 0.925% = 0.00925
  • n = 8 months

Substituting the given values into the formula and solving:

\implies \sf PMT=\dfrac{1700(0.00925)(1+0.00925)^8}{(1+0.00925)^8-1}=221.4403207

Therefore, the monthly payment to the nearest dollar will be $221.44

7 0
2 years ago
weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of 50. find the probabil
GalinKa [24]

Answer:

47.5%

Step-by-step explanation:

Find the z-scores:

z = (x − μ) / σ

z₁ = (300 − 400) / 50 = -2

z₂ = (400 − 400) / 50 = 0

300 is 2 standard deviations below the mean, and 400 is 0 standard deviations from the mean.

From the empirical rule, 95% of a normal distribution is between -2 and +2 standard deviations.  Since normal distributions are symmetrical, that means half of that is between -2 and 0 standard deviations.

95% / 2 = 47.5%

3 0
3 years ago
Find the volume of a right circular cone that has a height of 8.8 cm and a base with a diameter of 18.6 cm. Round your answer to
andreyandreev [35.5K]

Answer: Volume = 796.6 cm³

Step-by-step explanation:

We would apply the formula for determining the volume of a cone which is expressed as

Volume = 1/3 × πr²h

Where

r represents the radius of the cone.

h represents the vertical height of the cone.

π is a constant whose value is 3.14

From the information given,

Diameter of cone = 18.6 cm

Radius = diameter/2

Radius = 18.6/2 = 9.3 cm

Height = 8.8cm

Therefore,

Volume = 1/3 × 3.14 × 9.3² × 8.8

Volume = 1/3 × 3.14 × 86.49 × 8.8

Volume = 796.6 cm³

8 0
3 years ago
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