The number of cookies she needs to bake is 4 bc it’s half of 8
Answer:
Step-by-step explanation:
<em>See the attached.</em>
The path goes along the perimeter of the park and parallel to the sides, something like the picture attached.
<u>The path is 1 m wide and the total length is:</u>
We need to consider the dark cells points in the picture with reflects the overlaps. They are counted twice and each is 1 m x 1 m.
<u>Subtracting the duplicated area 9 x 1 m² to get the total area of the path:</u>
<u>The cost of cementing is:</u>
3x+50+6x-10=180
I combined the two equations and now you can solve for x
start by adding 3x plus 6x and subtracting 10 from 50 and you get a new equation
9x +40 =180
now from here you should be able to do the rest
just subtract 40 from 180 to get 9x=140
and what is 140 divided by 9
Answer:
(x + 4)² + (y + 5)² = 73
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 4, - 5), thus
(x - (- 4))² + (y - (- 5))² = r², that is
(x + 4)² + (y + 5)² = r²
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)
r =
=
= = ⇒ r² = 73, thus
(x + 4)² + (y + 5)² = 73 ← equation of circle
Angle A = x + 22°.
Angle B = x.
And since the angles are complementary:
A + B = 90°
x + 22° + x = 90°
2 x + 22° = 90°
2 x = 90° - 22°
2 x = 68°
x = 68° : 2
x = 34°
Angle A = 56°, angle B = 34°
Answer : The value of x is A ) 34°.