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3 years ago

Which of the following side lengths can form a triangle?

Mathematics

2 answers:

Dmitry [639]3 years ago

5 0

Answer:

side lengths can form a triangle

21 cm, 41 cm, and 60 cm..

Pachacha [2.7K]3 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.<u> </u><u>54 mm, 65 mm, and 120 mm:</u> 54=a, 65=b, 120=c and 54 + 65 > 120 so it's false.

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

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

D. <u>21 cm, 41 cm, and 60 cm:</u> 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 ☺❀❤

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Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

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2 years ago

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Answer:

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2 years ago

A circle's circumference is approximately 44 cm.

Sav [38]

<h3>Answers</h3><h3>diameter = 14</h3><h3>radius = 7</h3><h3>area = 154</h3>

these are all approximate

======================================

Explanation:

C = pi*d is the formula for the circumference. We know that C = 44 approximately, so,

C = pi*d

d = C/pi

d = 44/3.14

d = 14.01 approximately

d = 14 also approximate

take half of this to get the radius

r = d/2 = 14/2 = 7

Then use this radius to find the circle's area

A = pi*r^2

A = 3.14*7^2

A = 153.86

A = 154 rounding to the nearest whole number

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Answer:

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Step-by-step explanation:

ik bc i did it last year

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grandymaker [24]

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Step-by-step explanation:

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together it would be 87.5

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