Answer:
170
Step-by-step explanation:
10 x 15 = 150
2.5 x 4 = 10
10 x 2 = 20
150 + 20 = 170
The bigger cooler can hold 37.5 gallons and smaller cooler can hold 7.5 gallons.
Step-by-step explanation:
Given,
Gallons needed for party = 45 gallons
Let,
x represents the gallons hold by large cooler
y represent the gallons hold by small cooler
According to given statement;
x+y=45 Eqn 1
x = 5y Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 6
Putting y=7.5 in Eqn 2
The bigger cooler can hold 37.5 gallons and smaller cooler can hold 7.5 gallons.
Keywords: linear equation, substitution method
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<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!
