While on spring break, Gabe and his father decided to meet in San Francisco to ride the trolley and tour the city. Gabe decided to leave
an hour earlier, and traveled at a speed of 48 mph, because his
Volkswagon bug was slow. If his Dad left an hour later at a speed of
72 mph, how long will it take for Gabe's Dad to catch up to him?
If the distance to San Francisco is 405 miles:
How long will it take Gabe to get to San Francisco?
How long will it take Gabe's Dad to get to San Francisco?

the answer is 31.27mph

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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step-by-step explanation:

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the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!