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3 years ago

In ΔLMN, m = 5.9 cm, n = 8.7 cm and ∠L=163°. Find the length of l, to the nearest 10th of a centimeter.

Mathematics

2 answers:

Step2247 [10]3 years ago

5 0

Answer: side l = 14.5 centimeters (approximately)

Step-by-step Explanation: The triangle LMN has been given such that two sides m equals 5.9 and n equals 8.7. Also line l is not given but angle L equals 163. We shall apply the cosine rule to calculate for side l as the given dimensions satisfy the requirements to apply that formulae. The cosine rule states that;

c^2 = a^ + b^2 - 2abCosC

Using the dimensions given, the formulae can be re-written as,

l^2 = m^2 + n^2 - (2mnCosL)

l^2 = 5.9^2 + 8.7^2 - (2{5.9 x 8.7} CosL)

l^2 = 34.81 + 75.69 - 2(51.33) x -0.9563

l^2 = 110.5 + 98.1738

l^2 = 208.6738

Add the square root sign to both sides of the equation

l = 14.4455

Approximately to the nearest tenth of a centimeter, l equals 14.5 centimeters

SCORPION-xisa [38]3 years ago

5 0

Answer:

its 14.4

Step-by-step explanation:

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If inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year, what would you expect to pa

tamaranim1 [39]

Answer:

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Step-by-step explanation:

We have been given that inflation from last year to this year was 2% and a pair of designer jeans sold for $75 last year. We are asked to find the price of pair of designer jeans this year.

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$\text{Price of pair of jeans this year}=\$75+\$75\times\frac{2}{100}$

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3 years ago

Translate the following words to algebra symbols, using "n" as the variable. The product of six and a number is 24.

sveta [45]

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3 years ago

If 12 oranges cost $4.20, what is the unit price?

Tcecarenko [31]

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If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

JulsSmile [24]

Answer:

a) y-intercept of AB is 56/5

b) equation of line CD is:

y = -7/5x + 12

Step-by-step explanation:

a) If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

We are given the points A(8,0) and point B (3,7)

We need to find y-intercept i.e b

Finding slope of points A and B = y₂ - y₁/x₂ - x₁

=7-0/3-8

=7/-5

= - 7/5

So, finding y intercept b by using equation

y = mx+b

And considering point A (8,0) x = 8 and y = 0 and m = -7/5

0 = 8(-7/5) + b

0 = -56/5 + b

=> b = 56/5

So, y-intercept of AB is 56/5

b) If the coordinates of point D are (5 , 5), the equation of line CD is y = __

Since AB || CD

both will have same slope

i.e m = -7/5

we need to find y-intercept given point D (5,5)

y = mx+b

5 = -7/5(5)+b

5 = -7 + b

=> b = 5+7

=> b = 12

So, equation of line CD is:

y = -7/5x + 12

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