Answer:
Reading bar graphs (multi-step) In a bar graph each bar represents a number. The following bar graph shows the number of seconds that different rides last at the fair. We can tell how long each ride lasts by matching the bar for that ride to the number it lines up with on the left.
Here is an example:
From the equation, it looks like we can set up a triangle like this. One side is x and the other is x + 20 because the northbound car traveled 20 miles farther. The hypotenuse is 100 because they were 100 miles apart.
Next, we can use the Pythagorean Theorem to solve for x:
a² + b² = c²
x² + (x + 20)² = 100²
This simplifies to:
x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0
After that, we can divided each side by 2:
x² + 20x - 4800 = 0
Next, we have to factor:
(x - 60)(x + 80) = 0
x = 60, -80
Since we know that distance can't be negative, 60 is the valid answer in this case.
x = 60
x + 20 = 80
Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.
Answer:
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Step-by-step explanation:
The
term of the sequence is given as
.
To find the sixth term, which is denoted by
, we substitute n=6 into the given rule.
This will give us:
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Simplify the exponent to get:
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We simplify further to get:
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This simplifies to
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Circumference of a circle is 2πr where r is radius of a circle.
2*3.14*7=43.96 almost 44 inches in whole number where π=3.14