Answer:
11
Step-by-step explanation:
those alternate angles are equal to each other
5x+4=59
5x=55
x=11
Answer:
590
Step-by-step explanation:
To the ten that is nearest to 593
Answer:
A =78.5 in^2
Step-by-step explanation:
The area of the circle is given by
A = pi r^2
A = pi * r^2
A = 25 pi
Using 3.14 for pi
A = 25 (3.14)
A =78.5 in^2
Answer:
c. 6 cups
Step-by-step explanation:
The proportion is 1 cup of sugar for 1 dozen cookies (1/1). So if you multiply the denominator by 6 you must multiply the numerator by 6, and 6*1=6. Therefore you need 6 cups of sugar to make 6 dozen cookies.
Answer:
<h2>
S = 250/t</h2>
Step-by-step explanation:
If the rate of change of sales is inversely proportional to the time t, this is expressed mathematically as ΔS ∝ 1/Δt
ΔS = k/Δt where k is the constant of proportionality
If ΔS = S₂-S₁ and Δt = t₂-t₁
S₂-S₁ = k/ t₂-t₁
If the sales after 2 and 4 weeks are 162 units and 287 units respectively, then when S₁ = 162, t₁ = 2 and when S₂ = 287, t₂ = 4.
On substituting this values into the given functions, we will have;
287 - 162 = k/4-2
125 = k/2
cross multiplying
k = 125* 2
k = 250
Substituting k = 250 into the function ΔS = k/Δt
ΔS = 250/Δt
S = 250/t
<em>Hence the value of S as function of t when the sales after 2 and 4 weeks are 162 units and 287 units, respectively is expressed as S = 250/t</em>
