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Veronika [31]
3 years ago
8

In ΔLMN, n = 960 cm, ∠L=160° and ∠M=10°. Find the length of l, to the nearest centimeter.

Mathematics
2 answers:
Shtirlitz [24]3 years ago
4 0

Answer:

Step-by-step explanation:

nh

Alexxandr [17]3 years ago
3 0

Answer:

1,890.8cm

Step-by-step explanation:

Sine law!! So drawing the triangle helps, We know that the angle n is 10 because 180 - 10 -160 =10. Knowing that you can now use the sine law.

x/sin160 = 960/ sin 10

x= sin 160 (5528.4)

x= 1890.8cm

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A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round answers to nearest tent
AlexFokin [52]

Answer:

39.275

Step-by-step explanation:

the diameter of the semicircle is 10

A semicircle is half a circle, and a quarter circle is 1/4 of a circle.

Perimeter of a semicircle is ¶d/2

= 3.142 x 10/2 = 3.142 x 5 = 15.71

For 2 semicircles that will be 15.71 x 2 = 31.42

For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855

Total perimeter = 31.42 + 7.855 = 39.275

5 0
3 years ago
Please help me I need to turn in tomorrow please help me
Monica [59]

Answer:

<em>Answer: A. 0.2</em>

Step-by-step explanation:

<u>Probability</u>

The circle graph shows the distribution of the makeup of the Riverside Municipal Choir.

The total number of choir sections is: 8+10+10+12=40

To calculate the probability of a member chosen at random comes from the alto section, we use the formula:

\displaystyle P=\frac{8}{40}

Calculating:

P = 0.2

Answer: A. 0.2

7 0
2 years ago
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Answer: the tip would be 17.26$

Step-by-step explanation:

4 0
2 years ago
If you know anything about combining equations, specifically subtracting, can you please help me :)
Rufina [12.5K]

Answer:

5x - 2y = -2

Step-by-step explanation:

When subtracting one equation from the other, we are essentially just subtracting the left side of the second equation from the left side of the first equation and doing the same thing with the two right sides.

Here, we are subtracting (-7x + 3y) from (-2x + y):

(-2x + y) - (-7x + 3y)

Let's get rid of these parentheses. Remember that when we have a subtraction sign before a parentheses, we need to distribute a -1 to each term within those parentheses:

(-2x + y) - (-7x + 3y) = -2x + y + 7x - 3y = -2x + 7x + y - 3y = 5x - 2y

Now on the right side, we're subtracting 2 from 0:

0 - 2 = -2

Put it all together:

5x - 2y = -2

Hope this helps!

7 0
3 years ago
Read 2 more answers
The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do
xenn [34]

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

\texttt{ }

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

  • <em>Elimination Method</em>
  • <em>Substitution Method</em>
  • <em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

\texttt{ }

<em>Let:</em>

<em>Volumes of 2% Solution = x</em>

<em>Volumes of 10% Solution = y</em>

\texttt{ }

<em>Total Volume = 10 ml</em>

\boxed{x + y = 10} → <em>Equation 1</em>

\texttt{ }

<em>The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution</em>.

2 \% x + 10 \% y = 6 \% (10)

2x + 10y = 6(10)

\boxed{x + 5y = 30} → <em>Equation 2</em>

\texttt{ }

<em>Equation 1 - Equation 2:</em>

( x + y ) - ( x + 5y ) = 10 - 30

-4y = -20

y = -20 \div -4

y = 5 \texttt{ ml}

\texttt{ }

x + y = 10

x + 5 = 10

x = 5 \texttt{ ml}

\texttt{ }

<h2>Conclusion:</h2>

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

\texttt{ }

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

6 0
2 years ago
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