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KATRIN_1 [288]
3 years ago
13

URGENT!!!! I will mark brainliest IF correct!

Mathematics
1 answer:
mash [69]3 years ago
7 0
Fufofoydoyfylfiydosoydoyd
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At which point do the two equations
Lena [83]

The lines intersect at two places.

They intersect at approximately (-2,8) and (2,3)

Looking at the choices they would be at (1.8,3.2) and (-2.8,7.8)

The answer is D. Both A and B.

4 0
3 years ago
Find the dimensions of the rectangle with maximum area that can be inscribed in a circle of radius 10.
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = \sqrt{400 - b^2}

A = bh

A = b\sqrt{400 - b^2}

Area will be maximized when the derivative is set to zero

           dA/db = \sqrt{400 - b^2} - b²/ \sqrt{400 - b^2}

                   0 = \sqrt{400 - b^2} - b²/ \sqrt{400 - b^2}

b²/\sqrt{400 - b^2} =  \sqrt{400 - b^2}

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = \sqrt{200}

h = \sqrt{400 - b^2}

h = \sqrt{400 - \sqrt{200}^2 }

h = \sqrt{200}

A = bh

A =  \sqrt{200}•\sqrt{200}

A = 200 units²

5 0
3 years ago
The base of a regular hexagonal pyramid has an apothem length of 3√ in. What is the exact area of the base of the pyramid?
12345 [234]
1. To solve this problem you must apply the formula for calculate the area of a regular hexagon given the apothem, which is shown below:

 A=(Perimeter x Apothem)/2

 2. You have the apothem, so you can calculate the perimeter. First, you have to know the lenghts of the sides:

 Tan(30°)=x/√3
 x=1

 Side=2x
 Side=2

 Perimeter=2x6
 Perimeter=12

 3. Then, you have that the area of the base is:

 A=(Perimeter x Apothem)/2
 A=12x√3/2
 A=6√3
 A=10.39
 B=10.39 cm²

 The answer is: B=10.39 cm²
3 0
3 years ago
If your bill was $67.82 and there is a 7.5% late fee how much is your bill
zaharov [31]

67.82 x .075 = 5.0865 rounded to 5.09. 5.09+ 67.82 = $72.91. There's your answer
7 0
3 years ago
Write a polynomial function to the least degree with these roots 2 &3i ...?
Liula [17]
P(x)=(x-2)(x-3i) \\ \\P(x)=x^2-3ix-2x+6i \\ \\P(x)=x^2-x(3i+2)+6i
7 0
3 years ago
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