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kolezko [41]
3 years ago
11

Reynaldo rode his bike 2 miles north and 3 miles east. Which equation should he use to find the distance, d, that takes him dire

ctly back home?

Mathematics
2 answers:
Nikitich [7]3 years ago
6 0
Pythagorean’s theorem
frozen [14]3 years ago
4 0

Answer:

Pythagorean Theorem

Step-by-step explanation:

it will find you d

You might be interested in
Math help thank you guys.
ycow [4]

<span>
B. Quotient of Powers Property</span><span> </span>

<span>That property states that when you divide two powers with the same base, you subtract the exponents.</span>

6 0
2 years ago
A rectangular swimming pool measures 50 meters in length and 25 meters in width. Using a scale of 1 centimeter represents 5 mete
mrs_skeptik [129]

Answer:

Width is 5 cm

Step-by-step explanation:

Since we know that the width is 25 meters, and the scale we are using is 5 meters = 1 cm, we can divide 25 by 5 to find the scaled measurement.

25/5 = 5cm

I hope this helps!

-TheBusinessMan

5 0
3 years ago
A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard d
abruzzese [7]

Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, \bar{x}_{1} = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, \bar{x}_{2} = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2}  \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ t_{\alpha /2} = 3.25

Therefore, we have;

\mu_1 - \mu_2 = \left (2.007- 2.001  \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

8 0
3 years ago
7 A triangle is right-angled if the sides are a = m2 − n2, b = 2mn and c = m2 + n2 where m and n are positive integers, and m &g
Karo-lina-s [1.5K]
The general formula for the sides of right triangle is
a² + b² = c²

Subtitute the equation of a and b to the formula a² + b², evaluate if the answer will be the same as the equation of c²

a² + b²
= (m² - n²)² + (2mn)²
= (m² - n²)(m² - n²) + (2mn)(2mn)
= (m⁴ - 2m²n² + n⁴) + 4m²n²
= m⁴ + 2m²n² + n⁴

Factorize the result
m⁴ + 2m²n² + n⁴
= (m² + n²)(m² + n²)
= (m² + n²)²
= c²

It's proven by the formula that c² = (m² + n²)²
so the c will be m² + n²
6 0
3 years ago
4 1/4 divided by 2/7<br><br> (x+8)-(3x- 5)<br><br> Explain how you got the answer!!!!!
Dmitry_Shevchenko [17]

Turn it to improper fractions.

4 1/4 divided by 2/7

Divide them.

17/4 divided by 2/7

17      2     17 x 7

--- ÷  --- = --------- = 119/8 OR 14 7/8

4       7      4 x 2

-----------------------------------------------------

Distribute to take out the parentheses.

(x + 8) - (-3x - 5)

Combine like terms.

x + 8 + 3x + 5

Answer.

4x + 13

8 0
3 years ago
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