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soldi70 [24.7K]
3 years ago
13

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using a

ll of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. Which equation represents x, the side length of the greater square?A. x^2 + (x – 2)^2 = 10 B. x^2 + 2x^2 = 10 C. x^2 + (x – 2)^2 = 100 D. x^2 + 2x^2 = 100
Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:

1

Step-by-step explanation:

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It takes 2 minutes to fill a tank with 16 gallons of gasoline.
Olin [163]

Answer:

and the question is...

Step-by-step explanation:

5 0
3 years ago
Regina, Phil, and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents th
Vladimir79 [104]

Answer:

Disagree

On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money

Step-by-step explanation:

The given expression for the hourly earnings of Regina, Phil and Joseph are as follows;

Regina: 6.50·h + 16

Phil: 3·(2.5·H + 5)

Joseph: 7.50·h + 10

The number of hours worked = h

The hourly earnings for Phil equated to the hourly earnings of Joseph gives;

3·(2.5·H + 5) = 7.50·h + 10

Simplifying we get;

3 × 2.5·h + 3 × 5 = 7.50·h + 10

7.5·h + 15 = 7.50·h + 10

Which gives

15 =  10 + 5 = 10 which is not correct.

Therefore, when both Phil and Joseph works the same number of hours, in the week, Phil will earn 5 units more Joseph

However, we have that, where Joseph works extra 5/7.5 or 2/3 hours more than Phil, every week, they will earn the same amount of money every week.

Therefore, it is possible for Phil and Joseph to earn the same amount of money when Joseph works extra 2/3 hours more than Phil which gives;

On weeks when Joseph works extra 2/3 hours more than Phil, Phil and Joseph can earn the same amount of money.

3 0
3 years ago
Scores for a standardized test are normally distributed with a mean of 350 and a standard deviation of 25. If 1793 students scor
Sergeu [11.5K]

Answer:

I think this is right 50 but I don't know I am 3rd grade

Step-by-step explanation:

<h2>so thaso look 350 so minus that is 50s my answer</h2>
6 0
2 years ago
HELP! Please help! Thank you so much!
laiz [17]

Answer:

0-5

Step-by-step explanation:

1 if theres 5 topping. 2 if there are 10 toppings. 3 if 15. 4 if 20. 5 if 25.

5 0
3 years ago
Find the derivative of ln(cosx²).​
RoseWind [281]

Answer:

\displaystyle \frac{dy}{dx} = -2x \tan (x^2)

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = \ln (\cos x^2)

<u>Step 2: Differentiate</u>

  1. Logarithmic Differentiation [Derivative Rule - Chain Rule]:                       \displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}
  2. Trigonometric Differentiation [Derivative Rule - Chain Rule]:                   \displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}
  3. Basic Power Rule:                                                                                         \displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}
  4. Rewrite [Trigonometric Identities]:                                                              \displaystyle y' = -2x \tan (x^2)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0
3 years ago
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