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4 years ago

Which of the following side lengths can form a triangle?

Mathematics

2 answers:

Dmitry [639]4 years ago

5 0

Answer:

side lengths can form a triangle

21 cm, 41 cm, and 60 cm..

Pachacha [2.7K]4 years ago

3 0

I'll be solving this by using the Triangle Inequality Theorem: a+b>c, a+c>b, and b+c>a

A. 54 mm, 65 mm, and 120 mm: 54=a, 65=b, 120=c and 54 + 65 > 120 so it's false.

B. 12 in, 43 in, and 56 in: 12=a, 43=b, 56=c, 12 + 43 > 56 so false

C. 16 ft, 24 ft, and 42 ft: 24=a, 16=b, 42=c, but 16 + 24 > 60 so it's false

D. 21 cm, 41 cm, and 60 cm: 21=a, 41=b, 60=c

21 + 41 > 60

21 + 60 > 41

41 + 60 > 21

It equals all three formulas so D is the right answer.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)

- Cutiepatutie ☺❀❤

You might be interested in

11 cm 15 cm 17 cm =??

ivann1987 [24]

Answer:

82,5

Step-by-step explanation:

$\frac{1}{2} b \times h$

$\frac{1}{2} 11 \times 15$

7 0

3 years ago

The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

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

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

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

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

3 years ago

HOW DO I SOLVE THIS?? What would the answer be?? THANKS!

Arisa [49]

Convert 300% into decimals. So move the decimal point 2 times to the left and you get 3.00 and multiply it by 5 and square it because area of square is s^2

7 0

4 years ago

The principal of East High School wants to buy a new cover for the sand pit used in the long-jump competition. He measured the s

Ganezh [65]

Answer: area is 286.16 ft²

Step-by-step explanation:

Length of the sand pit is 29.2 feet and the width is 9.8 feet.

L= 29.2 ft

W = 9.8 ft

To find out the area, all we have to do is multiply the lenght by the width:

And do not forget that to calculate the area, all units must be the same and for the area, it is always the unit squared, in this case, feet square or simply (ft²).

A = l*w

A = 29.2 * 9.8 = 286.16 ft²

3 0

3 years ago

A $300 suit is marked down by %20. Find the sale price

avanturin [10]

Answer:

1499

(Decimal: 299.8)

Step-by-step explanation: =

300

−

100

300

−20

100

300

−1

1500

−1

1500+−1

7 0

3 years ago

Read 2 more answers