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alexandr402 [8]
3 years ago
13

60 miles on 2.5 gallons?

Mathematics
1 answer:
alexdok [17]3 years ago
7 0

60 miles /2.5 gallons  is 24 miles / gallon

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A building has an entry with the shape of a parabolic arch 66 feet high and 46 feet wide at the base. Find an equation for the p
olya-2409 [2.1K]
So. hmmm we know the arc entry has a vertical clearance of 66 feet, and is 46feet wide

notice the picture below.. if we move the arc to the origin, we end up with a parabola like so, from -23, 0 to 23, 0

now  \bf \boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}\qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-----------------------------\\\\
y=a(x-0)^2+0\implies y=ax^2
\\\\\\
\textit{what's the value of "a"?  well, we know }
\begin{cases}
x=23\\
y=-66
\end{cases}
\\\\\\
-66=a(23)^2\implies \cfrac{-6}{529}=a\qquad thus\qquad \boxed{y=-\cfrac{6}{529}x^2}

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Two complementary angles are congruent. Which equation gives the measure in degrees, dd, of each angle?
tamaranim1 [39]

Answer:

d+d=90

Step-by-step explanation:

A complementary angle is equal to 90 degrees.  If it is made up of two triangles (d and d) when you add them, they're total will be 90.

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Help!! Ur the best if u can help!
Sergeu [11.5K]

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Step-by-step explanation:

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An object with a mass of 3.0 g raises the level of water in a graduated cylinder from 25.1 mL to 33.1 mL. What is the density of
evablogger [386]
The displaced volume of the water, because of the submersion of the object, is equal to the volume of the object.

So to find the volume of the object we calculate the difference in volume of water:
33.1-25.1 = 8 ml

Since 1 mL of water has the volume of  1cm^3, then the volume of the object is 8 cm^3.


The density of the object is found by the formula:

density= mass/volume= (3 g) / (8 cm^3) = 3/8 (g/cm^3)= 0.375 g/cm^3


Answer: 0.375 g/cm^3
7 0
4 years ago
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