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Leviafan [203]
2 years ago
13

A 4 meter long ladder leans against a 90 degree wall at a 68 degree angle.

Mathematics
1 answer:
Alenkinab [10]2 years ago
3 0

Answer:

Step-by-step explanation:

We use trig to answer these questions:

sin x = opposite side of a triangle / hypotenuse

cos x = adjacent side / hypotenuse

Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.

The height of the top of the ladder  is then defined by:

sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =

3.71 m

and the distance of the bottom of the ladder from the wall as follows:

cos 68 degrees = horizontal distance / hypotenuse =

1.50 m

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A rectangular swimming pool measures 7.5 m by 4.5 m. It is completely surrounded by a fence parallel to each edge of the pool an
Illusion [34]

The total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.

<h3>What is rectangle?</h3>

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

A rectangular swimming pool measures 7.5 m by 4.5 m.

It is completely surrounded by a fence parallel to each edge of the pool and at a distance of 3 m from each edge of the pool.

The total length of the fence = 2(7.5+3×2 + 4.5+3×2)

The total length of the fence = 2(7.5+6 + 4.5+6)

The total length of the fence = 2(24)

The total length of the fence = 48 m

Thus, the total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.

Learn more about the rectangle here:

brainly.com/question/15019502

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4 0
2 years ago
Is (0,0) a solution to 6x - 7y &gt; 20 please include the steps!
leonid [27]

Answer:

No.

Step-by-step explanation:

To determine if (0,0) is a solution to the inequality, substitute 0 for x and 0 for y and check to see. Thus:

6x-7y>20

Substitute 0 for x and 0 for y:

6(0)-7(0)\stackrel{?}{>}20

Multiply:

0-0\stackrel{?}{>}20

Subtract:

0\not>20

So, (0,0) is <em>not</em> a solution.

And we're done!

8 0
3 years ago
Read 2 more answers
I really need help with this guys please help it’s due tomorrow and I’m so frikin dumb
il63 [147K]

Possible 24 impossible 3

5 0
2 years ago
Yo help me please if u can’t see please zoom in i need help asap
ELEN [110]

Answer:

96

Step-by-step explanation:

once you fill in the Blanks that are solvable, you will work your way into the answer. For example, the first column, the missing number has to be 155-76 or 79. Now you can find your answer. In the second row, “no Laptop”, you have 79 (solved above) plus 17. So your answer is 79+17 or 96.

3 0
2 years ago
The center of a circle is 5 units below the origin, and the radius is 10 units. what is the equation of the circle?
levacccp [35]

Answer:

x² + (y + 5)² = 100

Step-by-step explanation:

If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).

Using the equation of a circle with center (h, k)

(x - h)² + (y - k)² = r² where r = radius of the circle.

Given that r = 10 units, and substituting the values of the other variables into the equation, we have

(x - h)² + (y - k)² = r²

(x - 0)² + (y - (-5))² = 10²

x² + (y + 5)² = 100

which is the equation of the circle.

6 0
3 years ago
Read 2 more answers
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