Answer:
11
Step-by-step explanation:

<h2>
<em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>
YZ is the diameter, so arc YZ = 360°/2 = 180°
arc XZ = 360° - arc YZ - arc YWX = 360° - 180° - 100° = 80°
∠XYZ is an inscribed angle <span>so it is equal to half the arc XZ
</span>∠XYZ = 80°/2 = 40°
{50a+50c=800
{65a+75c=1100
{15a+15c=240
{13a+15c=220
2a=20
a=10
Golf course charge for adults $10
Answer:
D(V) = 100,48 cm³
Step-by-step explanation:
The volume of a sphere is:
V(s) = 4/3 π*r³
Where r is the radius of the sphere
If we take derivative of V respect r
D(V)/ dr = 4/3*3*π*r² ⇒ D(V)/ dr = 4*π*r² ⇒ D(V) = 4*π*r²*dr
We know:
r = 20 cm and dr = 0,02 ( at most)
Then
D(V) = 4*π*(20)²*0.02 cm³
D(V) = 32*π
D(V) = 100,48 cm³
Answer:
y = -2x + 8
Step-by-step explanation:
(−6, 20) and (0, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - 20) / (0 - (-6))
Simplify the parentheses.
= (-12) / (6)
Simplify the fraction.
-12/6
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.
8 = -2(0) + b
To find b, multiply the slope and the input of x(0)
8 = 0 + b
b = 8
Plug this into your standard equation.
y = -2x + 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-6, 20).
y = -2x + 8
20 = -2(-6) + 8
20 = 12 + 8
20 = 20
Your equation is correct.
Hope this helps!