<u>Answer:</u>
<u>Distance:</u> 6x + 15.5y > 55.5
<u>Time:</u> x + y > 4.5
<u>Step-by-step explanation:</u>
We are given that Martha is training for a duathlon and she covered a total distance of over 55.5 miles in more than than 4.5 hours of training.
Also, she runs at a speed of 6 mph and bikes at a rate of 15.5 mph.
We are to write inequalities representing the distance she traveled and the total time she spent training.
<u>Distance:</u> 6x + 15.5y > 55.5
(formula for distance = speed x time so speeds for running and biking are multiplied by their number of hours)
<u>Time:</u> x + y > 4.5
(she trained for more than 4.5 hours, x hours for running and y hours for biking.
Answer:
RP=190
TP=136
C=1,099
Step-by-step explanation:
RECTANGULAR PRISM, the equation is A=2(wl+hl+hw)
A=5*5+7*5+7*5
A=25+35+35
A=95*2
A=190
TRIANGULAR PRISM, the equation is A=1/2bh for the top and bottom triangles and A=lw for the sides
A=1/2(6)(4)
A=1/2*24
A=12
A=7*5
A=35
A=7*6
A=42
12*2=24
35*2=70
24+70+42=136
CYLINDER, the equation is A=2πrh+2πr2
A=2*3.14(7)(18)+2*3.14(7)^2
A=6.28*126+6.28*49
A=791.28+307.72
A=1,099
There are two ways you could go about solving this.
You could divide the length of the base (6mm) by 2 and use that to find the area or you could find the area of the whole triangle using 6mm and divide that by 2.
I will use the first method I described:
base = 6/2
base = 3 mm
height = 5.2 mm
area = bh/2
area = (3 * 5.2)/2
area = 7.8 square mm
(don't forget your units)
Using the other method would look like this:
area = bh/2
b = 6
h = 5.2
area = (6 * 5.2)/2
area = 15.6 square mm
area/2 = 7.8 square mm
As you can see either method yields the same result.
Hope this helped.
Cheers and good luck,
Brian
Answer:
the first one
1, 2, 3, 4, 6, 9, 12, 18, 36
the answer would be B.
u have to simplify the first fraction by getting rid of the 4.(divide numerator and denominator by 4) and then multiply the fractions.
Hope this helps:)
