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Hatshy [7]
3 years ago
13

I need an explanation and an answer please.

Mathematics
1 answer:
torisob [31]3 years ago
6 0

we have,

14x+8+6x+12=180 {interior angle}

or, 20x+20= 180

or, 20x= 180- 20

or, x= 160/20

:. x= 8

Now,

14x+8= 14.8+8

= 112+8 =120

6x+12= 6.8+12

= 48+12 = 60

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a farmer wants to fence in three sides of a rectangular field shown below with 960 feet of fencing. The other side of the rectan
Alika [10]

9514 1404 393

Answer:

  240 ft by 480 ft

Step-by-step explanation:

Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.

The fenced field dimensions are 240 feet by 480 feet.

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You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.

The total area is the product of these dimensions:

  A = x(960 -x)/2

We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.

The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.

3 0
3 years ago
The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (3,-7) . Write the equation of the circle in
Deffense [45]

Step-by-step explanation:

The center of a circle with 2 end points of a di diameter is the midpoint of the two endpoints.

The formula needed to find the minpoints is

(x,y) = (x2 + x1)/2, (y2 + y1)/2

x2 = 3

x1 = 3

y2 = 0

y1 = -7

midpoint = (3 + 3)/2, (0 - 7)/2

midp[oint = 3,-3.5

The midpoint is the center of the circle. Observe that the signs get changed when entering the values for (x,y)

So far what you have is (x - 3)^2 + (y + 3.5)^2 = r^2

To determine r^2 you need only take the distance from the center to oneof the endpoints.

r^2 = (3 - 3)^2 + (3.5 - 0)^2

r^2 = 3.5^2

r^2 = 12.25

Answer: (x - 3)^2 + (y + 3.5)^2 = 12.25

6 0
3 years ago
An art gallery has 18 paintings and 4 photographs displayed in equal rows on a wall with the same number of each type of art in
Ksivusya [100]
The answer could be 1 or 2
4 0
3 years ago
The mean height of 10 girls is 154cm. The mean height of 8 boys is 162cm. What is the mean height of the class?
olganol [36]

Answer:

158cm

Step-by-step explanation:

154+162=316

316/2=158

8 0
3 years ago
HELP PLEASEEE I NEED HELP QUICK
madam [21]

Answer:

C) If the perfect square terms are A^2 and B^2 and other terms must be 2 AB and -2AB

Step-by-step explanation:

As,

(a^2+2ab+b^2)=(a+b)^2\\(a^2-2ab+b^2)=(a-b)^2

7 0
2 years ago
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