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Ad libitum [116K]
1 year ago
14

The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necess

ary, round to the nearest tenth.
Mathematics
1 answer:
hodyreva [135]1 year ago
4 0

Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

<h3>What is the Pythagorean Theorem?</h3>

In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².

Given the following parameters of the right triangle:

  • c = 4 cm
  • a = 3 cm
  • b = ? (other leg)

Apply the Pythagorean theorem:

b = √(4² - 3²)

b = 2.6 cm (nearest tenth)

Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

Learn more about Pythagorean theorem on:

brainly.com/question/654982

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Solve the system of equations.<br> 2x + 7y = 3<br> x= -4y
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Answer:

(12, -3)

Step-by-step explanation:

You can solve it algebraically or graphically. Graphically you find the intersection point. Algebraically with substitution/elimination.

5 0
2 years ago
Use a 95​% prediction interval to predict the useful life of a brand A cutting tool when the cutting speed is 45 meters per minu
qwelly [4]

Answer:

<em>The answer resides in the explanation.</em>

<em>Pls rate as brainliest </em>

Step-by-step explanation:

The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is 1.2 to 5.5 hours.

The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is 3.4 to 5.4 hours.

The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of  y^ is different for the two intervals.

The prediction intervals are both larger than the corresponding confidence intervals.

The standard error for the estimated mean value of y is smaller than the standard error for the predicted value of y.

The predicted useful life of a brand A cutting tool that is operated at 100  meters per minute is -0.59 hours

The actual predicted useful life of a brand A cutting tool when the speed is 100 meters per minute is 0.0 to 2.3 hours.

6 0
3 years ago
Function f is shown on the graph below where two points are marked. If function f is horizontally compressed by a factor of 2, p
lilavasa [31]

Answer:

If you have    

f(x) = x^2

The point  (2,4)   would be transformed to (1,1)

Step-by-step explanation:

If your compression is horizontal then the transformation you are making is the following

g(x)  = f(x/2)

Therefore, if you have    

f(x) = x^2

The point  (2,4)   would be transformed to (1,1)

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2 years ago
The numbering system we commonly use is called the decimal numbering system because it uses ____ symbols to represent all possib
mafiozo [28]

The numbering system we commonly use is called the decimal numbering system because it uses <u> 10 </u> symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

  1. Decimal number system: "Deci" meaning 10, implies that the number system consists of 10 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
  2. Binary number system: "Bi" meaning 2, implies that the number system consists of 2digits or symbols, namely 0, and 1.
  3. Octal number system: "Oct" meaning 8, implies that the number system consists of 8 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, and 8.
  4. Hexa-Decimal number system: "Hexa-Deci" meaning 16, implies that the number system consists of 16 symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F.

Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses <u> 10 </u> symbols to represent all possible numbers.

Learn more about number systems at

brainly.com/question/14567654

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6 0
2 years ago
the radio of girls to boys in the junior high band is 5 to 7. At the beginning of the year, there were 72 students in the band.
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I don't really understand this question do u have a pic
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