Answer:
<h3>Three times as large as the pyramid's volume</h3>
Step-by-step explanation:
Let the volume of prism be Vp
Let the Volume of pyramid be Vy
Vp = Base Area * Height .... 1
Vy = Base * Height/3 ....2
From 2;
Vp = BH/3
BH = 3Vy
Since Vp = BH, then;
Vp = 3Vy
This shows that the volume of prism is three times as large as pyramids volume
(a/b) / (c/d) = (a/b)*(d/c) that is the rule so:
(3/4)/(3/16) is equal to:
(3/4)*(16/3) which is equal to
16/4
4
Step-by-step explanation:
2x + 1 = 16
2x = 15 (subtract 1 on both sides)
x = 7.5 (divide 2 om both sides)
Since 7.5 is not an integer, (a) is No.
However 7.5 is rational, therefore (b) is Yes.
U turn negative numbers from mixed numbers to improper fractions the same way u do with positive...u just temporarily disregard the negative sign.
Example :
- 2 2/3.....temporarily disregard the negative sign......take ur whole number (2) and multiply it by ur denominator (3) giving u 6, then add that to ur numerator (2) giving u 8....then put that number over the original denominator (3) giving u 8/3...and then put back ur negative sign...-8/3
Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;
- <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
- <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>
Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours
Change in distance, Δd = 11.25 - 6 = 5.25 miles
Assuming a constant speed :
- Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr
<u>Using the general form</u> :
At, x = 1.2 hours ;
Miles left, y = 6 miles
End point decreases by 7.5 mi/hr (-7.5 mi/hr)
Inputting the data into the equation :
6 = - 7.5(1.2) + c
6 = - 9 + c
c = 6 + 9 = 15 miles
<u>The expression in slope intercept form becomes</u> ;
<u>If Raul lives 5 miles closer to the beach</u> ;
<u>Time it will take Luis to get to the beach</u> :
- Time taken = (15 ÷ 7.5) = 2.5 hours
Distance Raul has to cover = 15 - 5 = 10 miles
To reach the beach after 2.5 hours ;
- Speed required = (10 ÷ 2.5) = 4 mi/hr
Therefore, Raul has to ride at 4 miles per hour for the plan to work.
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