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Stolb23 [73]
3 years ago
13

Ethan's solution and reasoning for solving an equation are shown below: 4/2 x - 10 =30

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
8 0

Answer:

Step-by-step explanation:

er

jek_recluse [69]3 years ago
5 0

Answer:

x = 20

Step-by-step explanation:

4/2x - 10 =30

Divide 4/2.

2x - 10 =30

Add 10 to both sides.

2x = 30 + 10

2x = 40

Divide 2 into both sides.

2x/2 = 40/2

x = 20

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Answer:

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3 years ago
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sergejj [24]

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A wooden plank is leaning against a wall. The bottom of the plank is 3 feet from the wall. Answer each of the following question
Nadusha1986 [10]

AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.

C ====> 49 degrees

For letter a, to solve for AC:

AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.

use sine :

sin A ===> opposite/hypotenuse

Solve:

sin 49 ====> 3/AC

AC ====> 3 / sin 49

AC ====> 3.96 ft.

For letter b, to solve for BC:

We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:

a^2 + b^2 = c^2

Let:

a ===> AB

b ===> BC

c ===> AC

(AB)^2 + (BC)^2 ===> (AC)^2

3^2 + (BC)^2 ===> (3.96)^2

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sqrt (BC)^2 ===> sqrt 6.6816

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3 years ago
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