Ask question

Ask question

All categories

3 years ago

5

A right triangle has a leg of length 4.6 inches and a hypotenuse of length 5.4 inches. Find the approximate length of the other

leg. Round your answer to the nearest tenth

1 answer:

SpyIntel [72]3 years ago

7 0

The answer is 2.8in

You might be interested in

Which pair of numbers is 6 a common factor of?

Gekata [30.6K]

6 is a common factor of 24 and 54. 6 x 9= 54 and 6 x 4= 24

8 0

3 years ago

Given that the domain is all real numbers, what is the limit of the range for the function ƒ(x) = 42x - 100?

slava [35]

A linear function has no restriction on range, unless there is one on the domain.

The range is <em>all real numbers</em>.

5 0

3 years ago

For an intramural sports program at a particular college, the time to run one mile is recorded for 200 male students in the prog

Greeley [361]

Answer:

Devon has the lower z-score, so he ran the mile faster relative to his gender.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Who ran the mile faster relative to their gender?

The lower the percentile of time ran, the faster. So whoever has the lower z-score ran the mile faster.

Devon

His best time to run the mile is 6.6 minutes.

These times are approximately normal with mean 8 minutes and standard deviation 1 minute.

We have to find Z when $X = 6.6, \mu = 8, \sigma = 1$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{6.6 - 8}{1}$

$Z = -1.4$

Kendall

Her best time to run the mile is 5.7 minutes.

These times are approximately normal with mean 7.5 minutes and standard deviation 2 minutes.

We have to find Z when $X = 5.7, \mu = 7.5, \sigma = 2$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5.7 - 7.5}{2}$

$Z = -0.9$

Devon has the lower z-score, so he ran the mile faster relative to his gender.

3 0

3 years ago

Y=4x+1 <br> Do x and y vary directly?

vladimir1956 [14]

<span>Slope = 8.000/2.000 = 4.000
x-intercept = 1/-4 = -0.25000<span>
y-intercept = 1/1 = 1.00000

</span></span> <span> y-(4*x+1)=0 </span>

6 0

3 years ago

Find Lm=<br> Help me please thanks

Ymorist [56]

A triangle is a three-edged polygon with three vertices. The length of LM is 3√3 cms.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The triangle formed by MN, MO, and NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,

MN = r

Now, the length of arc MN can be written as,

2 × π × r × (60° /360°) = π

r = 360 / (60 × 2)

r = 3 cms

Further, the radius of the circle can be written as,

LO = ON = OM = MN = Radius = 3 cms

Since, the triangle formed in a semicircle is a right-angle triangle, therefore, using the Pythagorean theorem we can write,

LM² + MN² = LN²

LM² + MN² = (LO + ON)²

LM² + r² = (r+r)²

LM² + r² = 4r²

LM² = 3r²

LM² = 3(3²)

LM = √27 cms

LM = 3√3 cms

Hence, the length of LM is 3√3 cms.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

4 0

2 years ago