Let's say her speed was x miles/hour during the first 3 miles runThen, time = distance/speedt1 = 3/x eq1 In the next 4 miles run, her speed = x-1 miles/hourTime taken:t2 = 4/(x-1) eq2 Now, total time:t1 + t2 = 1 3/5 hourssubstitute t1 and t2 from eqs. 1 and 2 3/x + 4/(x-1) = 1 3/5=> 3/x + 4/(x-1) = 8/5
=> 3(x-1) + 4x = 8x(x-1)/5=> 35x - 15 = 8x2 - 8x=> 8x2 - 43x + 15 = 0=> (8x-3)*(x-5) = 0=> x = 3/8 or 5 miles/hourx can not be 3/8 miles/hour because in that case, the speed during 4 miles run would be 3/8-1 = negative numberi.e. speed during 3 miles segment = 5 miles/hourand speed during 4 miles segment = 5-1 = 4 miles/hour
Answer:
12 is 3/4 of what number? You need to divide by the top and multiply by the bottom. 12 divided by 3 is 4, and 4 times 4 is 16.
Answer:
50.28 inches
Step-by-step explanation:
From the Image, we can find the length of the arc of the semi-circle by dividing the circumference of the resulting circle by 2
Radius= 9in
C= 2πr
C=2*3.142*9
C=2*3.142*9
C= 56.556 inches
Hence the length of the arc is
=56.556/2
=28.278 inches
The perimeter of the shape
=28.278+5+12+5
=50.28 inches
Answer:
5)surface =2(lb*bh*hl)
=2(12*4+4*4+4*12)
=2(48+16+48)
=2(96+16)
=2*112
=224inc^2
6)surfacearea=2*pi*r(r+h)
=2*3.14*2(2+1)
=6.28*2*3
=6.28*6
=37.68m^2
Answer:
9/2
Step-by-step explanation:
A Rational Number can be made by dividing two integers. (An integer is a number with no fractional part.) So therefore, 9/2 is a rational number
