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IrinaK [193]
1 year ago
8

Ensley used this figure in her proof of the Pythagorean theorem. In her proof. Ensley wrote the formula Va+b = c? Which of the f

ollowing explains why her formula is incorrect? The sum of the square of a and the square of b should be equal to the square root of c. The square root of the sum of a and b should be equal to the square root of c: The sum of the square of a and the square of b should be equal to the square of c. The sum of the square root of a and the square root of b should be equal to the square of c.

Mathematics
1 answer:
sasho [114]1 year ago
3 0

c)

the sum of the square of a and the square of b should be equal to square of c

Explanation

the Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

x^2+y^2=z^2

therefore Ensley is wrong because she has

so

a^2+b^2=c^2

so, the answer is

the sum of the square of a and the square of b should be equal to square of c

I hope this helps you

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A furniture store owner buys a sofa for $400 and marks it up 90% to sell it. During the store's anniversary sale, she sells the
nydimaria [60]

Answer:

$570

Step-by-step explanation:

If she marks up the sofa for 90%, she will change the price to 760$

Now, 25% of 760$ is 190$. So, we subtract 190 from 760 and get 570$

Hope this helped, and have a good one!

7 0
2 years ago
A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int
Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}

By expanding the previous equation:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0

Since there is no accumulation within the tank, expression is simplified to this:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}, where c(0) = 0 \frac{pounds}{gallon}.

\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}

The solution of this equation is:

c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})

The salt concentration after 8 minutes is:

c(8) = 0.166 \frac{pounds}{gallon}

The instantaneous amount of salt in the tank is:

m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds

3 0
3 years ago
Ralph’s average score for 5 tests was 82. on four of the tests his scores were 85, 73, 92, 66. what was the fifth test score?
SCORPION-xisa [38]

Answer:

94

Step-by-step explanation:

Let the unknown number be denoted by the variable, x. Also note that, the average can be found by adding all values together and dividing by the amount of values there are.

Set the equation:

(85 + 73 + 92 + 66 + x)/5 = 82

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Simplify first by combining like terms, and then do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions.

Combine like terms:

(85 + 73 + 92 + 66 + x)/5 = 82

(316 + x)/5 = 82

Next, isolate the x, by multiplying 5 to both sides of the equation:

(316 + x)/5 * 5 = (82) * 5

316 + x = 82 * 5

316 + x = 410

Lastly, subtract 316 from both sides of the equation:

x + 316 = 410

x + 316 (-316) = 410 (-316)

x = 410 - 316

x = 94

94 is the final test score.

5 0
2 years ago
If you calculate sle to be $25,000 and that there will be one occurrence every four years (aro), then what is the ale?
Cloud [144]

If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.

<h3>What is Single-loss expectancy (SLE)?</h3>

A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.

Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.

IT professionals must consider a wide range of risks, including the following:

  1. Errors caused by humans
  2. Cyber attacks, unauthorised data disclosure, or data misuse are examples of hostile action.
  3. Errors in application
  4. System or network failures
  5. Physical harm caused by fire, natural disasters, or vandalism.

To know more about the Single-loss expectancy (SLE), here

brainly.com/question/14587600

#SPJ4

5 0
1 year ago
Megan buys 3 bracelets and 3 necklaces each bracelet cost 5 dollars each in dollars of one she gave the clerk 40$
Tatiana [17]

Not sure what answer your needing so here is a breakdown of the amounts.

3 bracelets times $5 equals $15

How much is each necklace?

Subtract $15 from $40 you have $25 left. Then you divide $25 by 3 you get each necklace costs $8.33 so three necklaces cost $24.99

When you add $15 from the bracelets and $24.99 from the necklaces your total is $39.99 that’s why Megan gave the clerk $40

Hope this helps

7 0
3 years ago
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