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3241004551 [841]
3 years ago
5

Given that y = 9 cm and 0 = 23°, work out x rounded to 1 DP. у х 00 PLEASE HELP

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

x ≈ 3.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin23° = \frac{opposite}{hypotenuse} = \frac{x}{y} = \frac{x}{9} ( multiply both sides by 9 )

9 × sin23° = x , then

x ≈ 3.5 cm ( to 1 dec. place )

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Angle JKL is 54 degrees. What is the measure of angle MKL? *
hoa [83]

Answer:

MKL = 36°

Step-by-step explanation:

(3x + 6) + (6x + 12) = 54°

3x + 6x + 6 + 12 = 54

9x + 18 = 54

9x = 54 - 18

9x = 36

x = 36/9

x = 4

MKL = 6x + 12

MKL = 6(4) + 12

MKL = 24 + 12

MKL = 36°

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jim had 20 to spend at the video rental he has a late fee of 4.00 and it will cost him 2.99 to rent each movie not including tax
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2.99m-4 (less than or equal to symbol after) 20

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8 0
3 years ago
If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in
monitta

x = \frac{-11}{3}

<u>Step-by-step explanation:</u>

Here we have , If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Let's solve this :

2x - 8 = 5x + 3

⇒ 2x - 8 = 5x + 3

⇒ (2x - 8)-2x = (5x + 3)-2x { subtract 2x from both side }

⇒ 0 - 8 = 5x-2x + 3

⇒ - 8 = 3x + 3

⇒ - 8 -3= 3x + 3-3 { subtract 3 from both sides }

⇒ - 11 = 3x + 0

⇒ - 11 = 3x

⇒ \frac{-11}{3}  = \frac{3}{3} x { divide 3 from both sides }

⇒ x = \frac{-11}{3}

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3 years ago
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