Answer:
360° 32 I belive?
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Answer:
The center of the circle;
(2, -1)
The radius of the circle;
r = 4
Step-by-step explanation:
The first step is to complete the square on both x and y;
x^2 + y^2 -4x + 2y - 11 = 0
x^2 -4x +y^2 +2y = 11
We determine c1 to complete the square on x;
c1 = (b/2)^2
c1 = (-4/2)^2 = 4
We then determine c2 to complete the square on y;
c2 = (2/2)^2 = 1
The equation of the circle is then re-written as;
x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1
We then factorize the expressions in x and y separately;
(x-2)^2 + (y +1)^2 = 16
The center of the circle is thus;
(2, -1)
The radius is the square root of 16;
r = 4
find the attached.
<h3>
Answer: 90 degrees</h3>
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Explanation:
This figure is a kite since we have two pairs of adjacent sides that are congruent, but not all sides are the same length.
One property of kites is that the diagonals are always perpendicular (this applies to rhombuses as well). This means angle 3 is 90 degrees.
Answer:
1. C. 4x + 40
2. a. - 2a + 10
3. d. 13x - 45
4. 2c-7d
5. b. -2z - 12
Step-by-step explanation:
1. 4(x+10) = 4x+4*10 = 4x+40
C
2. -2(a - 5) = -2*a -2*-5 = -2a+10
A
3. 10x + 3 (x-15)
10x + 3x -3*15
10x+3x-45
13x-45
D
4. -5(c+d) + 7c - 2d
-5c-5d + 7c-2d
-5c+7c -5d -2d
2c-7d
5. 2(2z + 4) - 2 (3z + 10)
2*2z +2*4 -2 *3z -2*10
4z+8 -6z-20
4z-6z+8-20
-2z-12
B
Answer:
the dimensions of the most economical shed are height = 10 ft and side 5 ft
Step-by-step explanation:
Given data
volume = 250 cubic feet
base costs = $4 per square foot
material for the roof costs = $6 per square foot
material for the sides costs = $2.50 per square foot
to find out
the dimensions of the most economical shed
solution
let us consider length of side x and height is h
so we can say x²h = 250
and h = 250 / x²
now cost of material = cost of base + cost top + cost 4 side
cost = x²(4) + x²(6) + 4xh (2.5)
cost = 10 x² + 10xh
put here h = 250 / x²
cost = 10 x² + 10x (250/ x² )
cost = 10 x² + (2500/ x )
differentiate and we get
c' = 20 x - 2500 / x²
put c' = 0 solve x
20 x - 2500 / x² = 0
x = 5
so we say one side is 5 ft base
and height is h = 250 / x²
h = 250 / 5²
height = 10 ft