<h2>Hello!</h2>
The answer is:
C. Cosine is negative in Quadrant III
<h2>
Why?</h2>
Let's discard each given option in order to find the correct:
A. Tangent is negative in Quadrant I: It's false, all functions are positive in Quadrant I (0° to 90°).
B. Sine is negative in Quadrant II: It's false, sine is negative in positive in Quadrant II. Sine function is always positive coming from 90° to 180°.
C. Cosine is negative in Quadrant III. It's true, cosine and sine functions are negative in Quadrant III (180° to 270°), meaning that only tangent and cotangent functions will be positive in Quadrant III.
D. Sine is positive in Quadrant IV: It's false, sine is negative in Quadrant IV. Only cosine and secant functions are positive in Quadrant IV (270° to 360°)
Have a nice day!
Solve either equation for either variable. Since the second one has y on its own, the easiest choice is to solve that for y.
-5x + y = 13 ⇒ y = 5x + 13
Now substitute this into the other equation to eliminate y and rewrite it entirely in terms of x :
-3x + 3y = 3 ⇒ -3x + 3 (5x + 13) = 3
Simplify and solve for x :
-3x + 15x + 39 = 3
12x = -36
x = -3
Substitute this into either original equation to solve for y. Plugging x = -3 into the first equation would give
-3 (-3) + 3y = 3
9 + 3y = 3
3y = -6
y = -2
So the solution to the system of equations is (x, y) = (-3, -2).
Answer: pool B has a greater circumference.
Step-by-step explanation:
The formula for determining the circumference if a circle is expressed as
Circumference = 2πr
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Pool A has a radius of 48 feet.
1 foot ≈ 0.305 meters
48 feet = 48 × 0.305 = 14.64 meters
The circumference of pool A is
2 × 3.14 × 14.64 = 91.94 meters
Pool B has a diameter of 29.46 meters. Radius = diameter/2
Radius of pool B = 29.46/2 = 14.73 meters
The circumference of pool B is
2 × 3.14 × 14.73 = 92.5 meters
Therefore, pool B has a greater circumference.
Answer:
69.75 square inches
Step-by-step explanation:
Add the top and bottom lengths then divide by 2 before multiplying it with the height
1/2x(3+12.5)=7.75
7.75x9=69.75
n+5=9 is the answer for this
