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natka813 [3]
3 years ago
15

e" class="latex-formula">
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0

Answer:

Step-by-step explanation:

|2x-3|≤9

so -9≤2x-3≤9

add 3 to each inequality

-6≤2x≤12

divide by 2

-3≤x≤6

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Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.
hammer [34]

The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.

He needs to move the ladder 0.1 ft closer to the base of the building.

The situation forms a right angle triangle.

<h3>Right angle triangle</h3>

Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.

The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;

cos 65° = adjacent / hypotenuse

cos 65° = d / 10

d = 10 × 0.42261826174

d = 4.22618261741

d = 4.2 ft

She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;

cos 65 = d / 9.6

d = 9.6 × 0.42261826174

d = 4.05696

d = 4.1

Therefore, he needs to move the ladder 0.1 ft closer to the building.

learn more on right angle triangle here: brainly.com/question/14988069

8 0
2 years ago
Marine biked 3/4 of a mile on Monday. On Tuesday he biked 5 times this distance. The number of miles marine bikes on Tuesday is
PolarNik [594]

It's simple.  First, multiply 3/4 by 5.  As a decimal, this equals 3.75.  Therefore, the number of miles marine bikes on Tuesday is between 3 and 4.

Hope I helped! :)

4 0
3 years ago
How do you write 16x-44 in factored form. Plz help asap
STALIN [3.7K]

Answer:

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Step-by-step explanation:

5 0
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Solve each inequality and graph the solution <br><br> 5+ x &lt;12
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Answer:

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Interval Notation:

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Step-by-step explanation:

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nexus9112 [7]
Hello


All square numbers ends with 0,1,4,5,6 or 9 at units place.
4 0
3 years ago
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