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lawyer [7]
3 years ago
13

Which equation would best represent this problem?

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0
2x + 5 = 4x - 7 is the answer.
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If the diameter of circle a measures half of the diameter of circle b, then the area of circle b is how many times the area of c
Eduardwww [97]
Circle b:

Diameter = x

Radius = \frac{x}{2}

Area = \pi  r^{2} =  \pi ( \frac{x}{2} )^{2} =   \frac{ \pi  x^{2} }{4}

Circle a:

Diameter = \frac{x}{2}

Radius = \frac{x}{2} *  \frac{1}{2} =  \frac{x}{4}

Area = \pi  r^{2} =  \pi  ( \frac{x}{4} )^{2} =  \frac{  \pi x^{2} }{16}

Thus,

Area of circle b to area of circle a

= \frac{ \pi x^{2} }{4} ÷ \frac{ \pi x^{2} }{16}

= \frac{ \pi x^{2} }{4} × \frac{ 16 }{\pi x^{2}}

= 4

Hence, the area of circle b is 4 times the area of circle a.
5 0
3 years ago
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth
dedylja [7]

Answer:

(a) D(t) = 250t -500 miles

(b) Controller has 2 hours, but including time for pilots to divert course or altitude.

Step-by-step explanation:

Given:

two planes at same altitude heading in a collision course.

Plane A at 400 miles from collision point at 200 mph

Plane B at 300 miles from collision point at 150 mph.

Theoretical collision happens in

t = 400/200 = 300/150 = 2 hours

Distance ya of plane A from collision point as a function of time in hours

ya(t) = 400 -200t

Distance yb of plane B from collision point as a function of time in hours

yb(t) = 300-150t

(a) Distance between two planes,

Since the two planes are on courses perpendicular to each other, will need using pythagorean theorem

D(t) = sqrt(ya(t)^2+yb(t)^2)

= sqrt((400-200t)^2+(300-150t)^2)

= 250(t-2)

D(t) = 250t -500 miles

b. time available

Time until D(t) = 0

solve D(t) = 0

D(t) = 0

250(t-2) = 0

t = 2  (two hours)

3 0
3 years ago
wo mechanics worked on a car. The first mechanic charged $95 per hour, and the second mechanic charged $75per hour. The mechanic
Elenna [48]

5 hours and 25 minutes I think (Im not sure)

8 0
2 years ago
Read 2 more answers
What is the greatest whole number that rounds to 67,400? What is the least whole number?
WINSTONCH [101]
Greatest would be 100,000 (the nearest 100,000)
least 67,000 (the nearest thousand)
8 0
3 years ago
Explain how to determine it a function is exponential growth or exponential decay. Give an example of each.
kozerog [31]

Answer: Formula is given in the picture Step-by-step explanation: For the exponential growth we have the formula Exponential functions are in the form  y = ab^ xIf  a is positive and b  is greater than  1, then it is exponential growth. If a is positive and b is less than 1 but greater than 0, then it is exponential decay. For Example2 months ago you had 3 mice, you now have 18 shows and exponential growth And Atmospheric pressure (the pressure of air around you) decreases as you go higher shows exponential decay.


Read more on Brainly.com - brainly.com/question/11678436#readmore


Step-by-step explanation


6 0
3 years ago
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