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Xelga [282]
3 years ago
5

Select the correct answer.

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
8 0

Answer:

A. 5x^2 - 2x - 12 = 0

Step-by-step explanation:

The base is x feet.

The height is 2 less that 5 times the base.

The height is 5x - 2.

The area is 12.

The area is base * height / 2.

area = bh/2

area = x * (5x - 2) = 12

5x^2 - 2x = 12

5x^2 - 2x - 12 = 0

BlackZzzverrR [31]3 years ago
6 0

Answer:

{5x}^{2}  - 2x - 24 = 0

Step-by-step explanation:

area \: a =  \frac{base \times height}{2} =  \frac{bh}{2}

let b = x and h = (5x - 2) then

a  =  \frac{x(5x - 2)}{2}  =  12 {ft}^{2} \\ a =  \frac{ {5x}^{2}  - 2x}{2}  = 12 {ft }^{2}  \\ a =  2 \times   \frac{ {5x}^{2}  - 2x}{2}  = 12 {ft}^{2}  \times 2 \\ a =  {5x}^{2}  - 2x = 24 {ft}^{2} \\ a =  {5x}^{2}  - 2x - 24 = 0

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Dima020 [189]

If the two sides with length 3 and 4 are the two legs, then the missing side, i.e. the hypotenuse, is indeed 5.

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\sqrt{4^2-3^2}=\sqrt{16-9}=\sqrt{7}

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8 0
3 years ago
What is 3 2/5 / 6 plz help!!!
Illusion [34]

Answer:

The answer is 0.56 the 6 is repeating

Step-by-step explanation:

5 0
3 years ago
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WILL GIVE BRAINLIEST What is the perimeter of the track, in meters? Use π = 3.14 and round to the nearest hundredth of a meter.
Ivenika [448]

Answer:

Perimeter = 317 m

Step-by-step explanation:

Given track is a composite figure having two semicircles and one rectangle.

Perimeter of the given track = Circumference of two semicircles + 2(length of the rectangle)

Circumference of one semicircle = πr  [where 'r' = radius of the semicircle]

                                                       = 25π

                                                       = 25 × 3.14

                                                       = 78.5 m

Length of the rectangle = 80 m

Perimeter of the track = 2(78.5) + 2(80)

                                     = 157 + 160

                                     = 317 m

Therefore, perimeter of the track = 317 m

7 0
3 years ago
What is the directrix of the parabola defined by 1/4(y+3)=(x-2)^2
Charra [1.4K]
This is a parabola which opens upwards and the directrix will be of the form  
y = k

the general form is 

4p(y - k) = (x - h)^2   we have:-

1/4(y + 3) = (x - 2)^2

so the vertex is at (2, -3)

4p = 1/4  so p =  1/16

so the focus will be at (2 , -2 15/16)

and directrix is  y = -3 1/16
4 0
3 years ago
Make B the subject of the relation : 1/a is equal to 1/b + c​
stealth61 [152]

Answer:

By making ‘a’ the subject, I believe you mean isolate the variable ‘a’.

1/a - 1/b = 1/c : add 1/b to both sides

1/a = 1/b + 1/c : combine the unlike fractions by finding a common denominator, bc is the common denominator

1/a = (1/b)(c/c) + (1/c)(b/b) : simplify

1/a = (c/bc) + (b/bc) : add numerators only, because the denominators match

1/a = (c + b)/bc : multiply both sides by a

1 = (a)[(c + b)/bc] : multiply both sides by the reciprocal of [(c + b)/bc] which is [bc/(b + c)]

1[bc/(b + c)] = a

a = bc/(b + c)

This will not work if c = -b, because then you would be dividing by zero.

Example: 1/2 - 1/3 = 1/6 a = 2, b = 3 c= 6

a = bc/(b + c) => 2 = (3 x 6)/(3 + 6) => 2 = 18/9 => 2 = 2.

Step-by-step explanation:

4 0
3 years ago
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