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Evgesh-ka [11]
3 years ago
8

The back-up generators at the local clinic use 25 gallons of oil in 3 hours and 45 minutes. At this rate, how much oil would the

generators use in 6 hours?
Mathematics
1 answer:
sveticcg [70]3 years ago
4 0
<span>The word problem gives a rate of oil consumption at a rate of 25 gallons per 3 hours and 45 minutes. 3 hours and 45 minutes can be displayed as 3.75 hours. so you can say the generator consumes oil at a rate of 25 gallons per 3.75 hours. The following equation give you the oil consumption on a per hour basis; 25/3.75 and that gives you 6.67 gallons per hour. In 6 hours the generator will consume 40 gallons.</span>
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Least 3/5, 0.65, 0.75, 7/8 greatest
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Which of the following expressions would give you the greatest quotient (answer to the division problem)? PLEASEE ITS THE LAST Q
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Plz answer question in screen shot
lisov135 [29]

Answer:

200√3

Step-by-step explanation:

The triangle given here is a special right triangle, one with angles measuring 30-60-90 degrees. The rule for triangles like these are that the side opposite the 30° angle can be considered x, and the side opposite the 60° angle is x√3, while the hypotenuse, or side opposite the right angle, is 2x. All we need to know here are the two legs to find the area.

Since b is opposite the 30° angle, it is x, while side RS is opposite the 60° angle, meaning it is equal to x√3, meaning that the area of the triangle is 1/2*x*x√3. We can substitute in 20 for x, making our area 1/2*20*20√3. Multiplying we get 10*20√3, or 200√3.

6 0
3 years ago
3
tensa zangetsu [6.8K]

Answer:

2

Step-by-step explanation:

when it's multiplication exponent add up

so the one in the parentheses will be ( x^4/3 x ^2/3) = x ^ 4/3 +2/3 = x ^ 6/3

when you simplify it will give you x ^2

now the last step will be to multiple the exponent

x^ 2/3

4 0
3 years ago
A) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF
bixtya [17]

Answer:

A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

B. \overline{AB} \cong \overline{DE}

\overline{BC} \cong \overline{EF}

\overline{AC} \cong \overline{DF}

Step-by-step explanation:

a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.

Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.

b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:

\overline{AB} \cong \overline{DE}

\overline{BC} \cong \overline{EF}

\overline{AC} \cong \overline{DF}

6 0
3 years ago
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