Answer:
the answer is Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−17/2, -7)
Equation Form:x=-17/2 y=-7
The legs of a right triangle measure 8 inches and 12 inches.What is the area of the triangle?
1 answer:
Answer:
The area of the triangle is 48 in².
Step-by-step explanation:
A right triangle is a triangle formed when to legs come together to make a 90° angle. The 'legs' of the triangle can also be called referred to the base and the height of the triangle. The general formula for the area of a triangle is:
A = b*h, where b = base and h = height
In this case, the leg measures are given as 8 inches and 12 inches, so we can put these values into our formula to solve for area:
A = (8)(12) = 48
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If the measure of central angle is 3π /4 radians, then the area off the shaded sector is 96π square units
The radius of the circle = 16 units
The central angle of the shaded region = 3π /4 radians
The area of the sector = (θ/ 360) × πr^2
Where θ is the central angle of the sector
r is the radius of the sector
Substitute the values in the equation
The area of the sector = ((3π /4) /360) × π × 16^2
Convert the radians to the degrees
= (135/360) × 256π
Multiply the terms
= 96π square units
Hence, the area of the shaded sector is 96π square units
The complete question is
The measure of central angle XYZ is 3 pie / 4 radians. What is the area of the shaded sector?
Learn more about area of the sector here
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Answer:
Catherine's sister ate 2/15 gallons of the ice cream.
.
Step-by-step explanation:
Let be the amount of ice cream that Catherine's sister ate, in gallons.
- Original amount: 1 gallon.
- What Catherine ate:
gallons.
- What Catherine's sister ate is assumed to be
gallons.
- What's left:
gallons.
Consider the relationship:
.
That is:
.
Add to both sides of this equation:
Substract from both sides:
.
Convert the denominator of all three numbers on the left-hand side to
.
.
In other words, Catherine's sister ate gallons of the ice cream.