Explanation:The initial number of horses = 24
year = 2011
Coordinates (2011, 24)
when the number of horses became 32, year was 2014
Coordinates (2014, 32)
We find the slope = rate of change
slope = change in number of horses/change in number of years
slope = (32-24)/(2014-2011)
slope = 8/3
The point slope formula:
The number of horses in year 2020
using points: (2011, 24) and (2020, y), we equate with the slope since it is constant for any two points on this model.
8/3 = (y - 24)/(2020 - 2011)
8/3 = (y - 24)/9
cross multiply:
8(9) = 3(y - 24)
72 = 3y - 72
72 + 72 = 3y
144 = 3y
144/3 = 3y/3
y = 48
Hence, there will be 48horses in 2020 (option A)
The complete question in the attached figure
we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
<span> they are all congruent
so
divide 180 by 3 ----------------> 180/3=60</span>°
Find the length of arc rc=60°<span>
if 360</span>°----------------> (2*pi*7) length of circumference
60° -------------------> X
<span>X=60*2*pi*7/360------------> 7.327 units
the answer is
</span>
the length of arc rc= <span>
7.33 units</span>
Answer:
x = 4
Step-by-step explanation:
When a tangent and a secant are drawn from an external point to a circle.
Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence
x(x + 5) = 6²
x² + 5x = 36 ( subtract 36 from both sides )
x² + 5x - 36 = 0 ← in standard form
(x + 9)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 4 = 0 ⇒ x = 4
However, x > 0 ⇒ x = 4
Answer:
.75 g
Step-by-step explanation:
If you have 15 g and 5% is boric then 15 *.05 =.75
