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soldier1979 [14.2K]
3 years ago
6

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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Bryce tried to solve an equation step by step. \qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&
sesenic [268]

Answer:

Bryce is wrong in step 1 because he did not distribute 3 over 5/3

Explanation

Given the steps taken by bryce as shown, we are to find where he made an error

\qquad\begin{aligned} \dfrac83&=3\left(c+\dfrac53\right)\\\\ \\ \dfrac83&=3c+\dfrac53&\green{\text{Step } 1}\\\\ \\ 1&=3c&\blue{\text{Step } 2}\\\\ \\ \dfrac13&=c&\purple{\text{Step } 3}\\\\ \end{aligned}

Given the expression;

\dfrac83&=3\left(c+\dfrac53\right)\\\\ \\

Step 1:Expand the bracket using the distributive law;

8/3 = 3c + 3(5/3)

<em>Simplify</em>

8/3 = 3c + 15/3

Step 2: Subtract 15/3 from both sides

8/3 - 15/3 = 3c+15/3-15/3

(8-15)/3 = 3c

-7/3 = 3c

Step 3: Multiply both sides by 1/3

-7/3 * 1/3 = 3c * 1/3

-7/9 = c

Swap

c = -7/9

From the calculation, we can see that Bryce is wrong in step 1 because he did not distribute 3 over 5/3 thereby making his solution incorrect

3 0
2 years ago
Which expression would you use to determine the missing number in the sequence? 12, ____, 26, 33, 40
Paladinen [302]

Answer:

The answer is 19.

Step-by-step explanation:

This is because the sequence adds up by 7 each time. Have a nice day!

4 0
3 years ago
Read 2 more answers
Find the inner product for (7, 2) * (0, -2) and state whether the vectors are perpendicular.
Andrews [41]

Answer: A

Step-by-step explanation:

To find the inner product of two vectors (a,b) and (c,d) you would use the equation (a * c) + (b * d)

So for (7,2) and (0,-2) the inner product would be

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The vectors are only perpendicular when the inner product is equal to 0. Since it is equal to -4 in this case, the vectors are not perpendicular.

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3 0
3 years ago
Read 2 more answers
Please help show work too please thank you
Black_prince [1.1K]
(3x-9) +(x+19)+x=180
5x+10=180
-10=-10
5x=170
5 = 5
x=34

2x+(2x+10)+x=180
5x+10=180
-10=-10
5x=170
5 = 5
x=34

yes they are similar
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3 years ago
Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5. Which statement shows the quotie
scoundrel [369]

Answer:

D.

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