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Lynna [10]
3 years ago
14

2. Find the measure of angle L.

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Answer:

∠ L ≈ 21.6°

Step-by-step explanation:

Using the Sine rule in the triangle

\frac{MN}{sinL} = \frac{LM}{sinN} , that is

\frac{34}{sinL} = \frac{42}{sin27} ( cross- multiply )

42 × sinL = 34 × sin27° ( divide both sides by 42 )

sinL = \frac{34sin27}{42} , then

∠ L = sin^{-1} ( \frac{34sin27}{42} ) ≈ 21.6° ( to the nearest tenth )

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A certain aquarium holds 20 gallos of water . how many quarts of water does the aquarium hold
TEA [102]
There are 4 quarts in a gallon, so multiply 20 x 4 to get 80.


The aquarium can hold 80 quarts.


Hope I helped!
7 0
3 years ago
Assume y varies directly as x. If y = 30 when x = -3, find y when x = -9.
navik [9.2K]

Answer:

y is 90

Step-by-step explanation:

The y/x is proportional per point (x,y) since this is a direct variation.

That is ,

\frac{30}{-3}=\frac{y}{-9}.

Cross multiply:

30(-9)=y(-3)

Simplify:

-270=-3y

Divide both sides by -3

\frac{-270}{-3}=y

90=y

7 0
4 years ago
Please help
sveta [45]

Based on the data given on the number pattern, 4 + 5 = 180

<h3>Number pattern</h3>

7 + 9 = 254016

3 + 7 = 7779240

5 + 8 = 2496000

7 + 9 = (7 × 9)^|7-9| × (7 + 9) × |7 - 9)

= 69² × 16 × 2

= 4761 × 16 × 2

= 254,016

3 + 7 = (3×7)^|3-7| × (3+7) × |3-7|

= 21⁴ × 10 × 4

= 194,481 × 10 × 4

= 7,779,240

So,

4 + 5 = (4×5)^|4-5| × (4+5) × |4-5|

= 20¹ × 9 × 1

4 + 5 = 180

Learn more about pattern of numbers:

brainly.com/question/6561461

#SPJ1

4 0
2 years ago
Consider the division expression 712÷2. Select all multiplication equations that correspond to this division expression.
Salsk061 [2.6K]

Answer:

Step-by-step explanation:

You have not provided any equations to choose from.

712÷2 = 712×½

6 0
3 years ago
Read 2 more answers
Given that x^2+(1/x^2) = 7, what is the value of x^4+(1/x^4)
anyanavicka [17]
This should be the right answer.

6 0
3 years ago
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