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AlekseyPX
3 years ago
9

The area of a trapezoid is 864 cm2. It has a height of 24 cm, and the length

Mathematics
1 answer:
Darina [25.2K]3 years ago
7 0

Answer:

Length of other base = 42 cm

Step-by-step explanation:

h = 24 cm

One of its base a = 30 cm

Area=864cm^{2}\\\\\frac{(a+b)*h}{2}=864\\\\\frac{(30+b)*24}{2}=864\\\\(30+b)*12=864\\\\30+b=\frac{864}{12}\\\\30+b=72

b = 72 - 30

b = 42 cm

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ivanzaharov [21]

Answer:

The slope is $0.35/min and it gives the cost per minute of the phone used.

Step-by-step explanation:

We can model this situation with a linear equation of the form

y =mx+b

where y is monthly cost, x is the number of minutes, b is the flat monthly fee, and m is the slope of the equation, or in our case, the amount of money charged per minute.

The slope m is

m= \dfrac{\$372.5-\$131}{990min-300min}

m = \$0.35/min,

in other words, the phone company charges $0.5 per minute.

With the slope in hand, the linear equation becomes

y =0.35x+b,

and we can find the monthly fee b from that fact that for 300 minutes the cost is $131:

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b = \%26.

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y = 0.35x+26

where the slope if the equation give the cost per minute of the phone used.

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3 years ago
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5 0
3 years ago
1615/170 simplify show work
Sloan [31]
1615/170

We first need to convert this into a proper fraction. Which means that the denominator must be larger than the numerator for it to be proper. Also, since 1615 is BIGGER than 170, we will end up with a mixed fraction. A mixed fraction always has a whole number.

1615 can go into 170 how many times?

9 times

170*9 = 1530

Now subtract.

1615 - 1530 = 85

Now we have our mixed fraction:  9  85/170

Now we must simplify the fraction.

85/5 = 17
170/5 = 34

17/34 is the smallest possible fraction we can get. 

9 17/34

Final answer:  9  \frac{17}{34}


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Answer:

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Step-by-step explanation:

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2 years ago
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