revenue- 36.30$ profit- 8.80$
Sydney's age = x
Devaughn's age= 3x
So you get the equation:
x+3x=24
4x=24 (combine like terms)
x=6 (divide both sides by 4)
Step-by-step explanation:
The domain is all the possible x values. Here, the smallest x value is 1, and the largest x value is 4.
1 ≤ x ≤ 4
Answer: Pam has 7 and Bill has 11
Step-by-step explanation:
Step-by-step explanation:
Answer:
The length of segment AC is 10 units ⇒ 1st answer
Step-by-step explanation:
Look to the attached figure
In circle A
∵ AB is a radius
∵ BC is a tangent to circle A at B
- The radius and the tangent are perpendicular to each other
at the point of contact
∴ AB ⊥ BC at point B
∴ m∠ABC = 90°
In ΔABC
∵ m∠B = 90°
∵ AB = 8 units
∵ BC = 6 units
- By using Pythagoras Theorem (Square the hypotenuse is
equal to the sum of the squares of the other two sides of
the triangle)
∵ (AC)² = (AB)² + (BC)²
∴ (AC)² = (8)² +(6)²
∴ (AC)² = 64 + 36
∴ (AC)² = 100
- Take √ for both sides
∴ AC = 10 units
The length of segment AC is 10 units
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