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Ad libitum [116K]
2 years 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]2 years 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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The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of
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Answer:

There is sufficient evidence to support the claim that the standard deviation is less than 14.7.

Step-by-step explanation:

From the question we are told that that the null hypothesis is

       H_o  :  \sigma < 14.7

Now given from the question that this null hypothesis was rejected, it mean, in non technical term that there is sufficient evidence to support the claim that the standard deviation is less than 14.7.

3 0
3 years ago
If y varies inversely as x and y=24 when x=8, find y when x is 4
olga2289 [7]
Y would equal 12 if x were to equal 4. You can think of it as a proportion.
6 0
3 years ago
In your own words, describe how to graph the linear equation y = -1/5x + 3. Step by step
Gemiola [76]

Answer:

Steps given below and graph is attached.

Step-by-step explanation:

First Step:

Find out y-intercept by substituting x=0

y=-\frac{1}{5}\times 0+3\\\\y=3\\\\Hence\ line\ passes\ through\ (0,3).

Second Step:

Find out x-intercept by substituting y=0.

0=-\frac{1}{5}x+3\\\\\frac{1}{5}x=3\\\\x=15\\\\Hence\ line\ passes\ through\ (15,0).

Third Step:

Draw a line passing through (0,3)\ and\ (15,0).

Graph is attached.

7 0
4 years ago
Solve the logarithmic equation. Be sure to reject any value of log (X + 8) = log x + log 8​
swat32

Answer:

x = 8/7

Step-by-step explanation:

log (X + 8) = log x + log 8​

We know that log a + log b = log ab

log (X + 8) = log 8x

Raise each side to base 10

10^log (X + 8) = 10^log 8x

x+8 = 8x

Subtract x from each side​

x+8-x = 8x-x

8 = 7x

Divide by 7

8/7 = 7x/7

8/7 =x

6 0
3 years ago
Read 2 more answers
A lake has a small patch of lily pads and every day the patch grows to double its size. It takes 32 days for the patch to cover
S_A_V [24]

Answer:

<em>It took 31 days for the patch to cover half the lake</em>

<em></em>

Step-by-step explanation:

The patch grows to double its size everyday

the patch completely covers the lake in 32 days

Since the patch doubles itself everyday, this means that the previous day before the 32nd day, the lake was just half covered.

Therefore, the the patch covered half the lake on the 31st day, i.e <em>it took 31 days for the patch to cover half the lake</em>

<em></em>

6 0
3 years ago
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