Answer:
$11 and $16
Step-by-step explanation:
let x be the cost of a student ticket then an adult ticket is x + 5 , then
3x + 7(x + 5) = 145 , that is
3x + 7x + 35 = 145
10x + 35 = 145 ( subtract 35 from both sides )
10x = 110 ( divide both sides by 10 )
x = 11
Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16
The area of a circle is A = πr^2. We let A1 And A2 the areas of the circles and r1 and r2 the radius of each, respectivley.
A1 + A2 = 80π
Substitute the formula for the area,
π(r1)^2 + π (r2)^2 = 80π
From the statement, we know that r2=2(r1).
<span>π(r1)^2 + π (2 x r1)^2 = 80π
</span>We can cancel π, we will have
5 x (r1)^2 = 80
Thus,
r1 = 4 and r2 = 8
Answer:
50.74 yds^2
Step-by-step explanation:
Answer:
Sum of Interior Angles = 900°
One Interior Angle = 128.57°
Step-by-step explanation:
We know that the figure is a Heptagon (a 7 sided polygon), therefore;
→ As by the formula of (n - 2) * 180° we can find the sum of the interior angles;
=> (n - 2) * 180 = Sum of Interior Angles
=> (7 - 2) * 180 = Sum of Interior Angles
=> 5 * 180 = Sum of Interior Angles
=> <u>900° = Sum of Interior Angles</u>
Now that we know the sum of interior angles,
→ We can find 1 interior angle by dividing the sum by the number of sides in the polygon.
=> Sum of Interior Angles / n = One Interior Angle
=> 900 / 7 = One Interior Angle
=> <u>128.57° = One Interior Angle</u>
Hope this helps!
I am using "x" but alphabet letter does not matter.
#9
Words: x is greater than or equal to -4
Algebra: x ≥ -4
Possible solutions: 0,1,2
#13
Words: x is greater than 0
Algebra: x > 0
Possible solutions: 1,2,3