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Ne4ueva [31]
3 years ago
5

.................................................

Mathematics
1 answer:
Andrej [43]3 years ago
4 0

Answer: …………..

Step-by-step explanation:

……………..

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In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.
Bogdan [553]

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

j = \sqrt{99.45}

j = 9.97

∴

\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}

{9.97 \times    Sin (L ) = (2.7 \times Sin \ 43)

=  Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ =  Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 }  \\ \\  = Sin \ L = 0.18466 \\ \\  L = Sin^{-1} (0.18466) \\ \\  L = 10.64 ^0

3 0
3 years ago
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y r
Ratling [72]
Y > x
y = 2(3+x)
y = 3x-2
------------------------------
2(3+x) = 3x-2
2(3+x) - (3x-2) = 0
6 + 2x -3x + 2 = 0
8 -x = 0
x = 8
---------------------------
y = 2(3+x) = 2(3+8) = 22
y = 3x-2 = 3*8 -2 = 22
----------------------------------
x = 8 ; y = 22


7 0
3 years ago
Read 2 more answers
Based on the information below what are the values of x and y of the solution to the system of equations used to create the info
Grace [21]

Answer:

<em>(D). x = 2 , y = - 5</em>

Step-by-step explanation:

A = - 8 + 48 = 40

A_{x} = -76 + 156 = 80

A_{y} = 104 - 304 = - 200

<em>x =</em> \frac{A_{x} }{A} = <em>2</em>

<em>y =</em> \frac{A_{y} }{A} = <em>- 5</em>

<u><em>( 2, - 5 )</em></u>

3 0
3 years ago
Read 2 more answers
What is the place value of 9 in 9.08​
poizon [28]

Answer:

The whole number or tens place

Step-by-step explanation:

If u need any more help love to help

4 0
3 years ago
Read 2 more answers
What value is added to both sides of the equation x2 − 8x = −10 in order to solve by completing the square? −8 16 −4 4?
ivanzaharov [21]
X^2 - 8x = -10 .....u would add 16 to both sides
x^2 - 8x + 16 = -10 + 16

take half of ur x term, ur x term is -8, half of it is -4, then u square it...-4^2 = 16, and that is what u add to both sides
7 0
3 years ago
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