Answer:
<h2>y = 242.4 ft</h2>
Step-by-step explanation:
Look at the picture.
Use sine:
We have a measure of the angle and length of the hypotenuse:
Substitute:
<em>multiply both sides by 500</em>
Answer:
6 miles per hour
Step-by-step explanation:
we'll set up the problem like this:
3/4 mi = 1/8 hr
now multiply each side by 8:
24/4 mi = 1 hr
simplify:
6 mi = 1 hr
Answer:
The equation is H = 495 -6t
Step-by-step explanation:
Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.
The height we want to calculate is H. The initial height is 495 foot;
At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t
Ask the height after t seconds will be;
H = 495 - 6t
Where t represents the time in seconds
<h3>
Answer: 98%</h3>
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Explanation:
The customer saves 15%, but still pays the remaining 85%. The two percentages add to 100%.
85% of $900 = 0.85*900 = 765
After the 15% discount is applied, the customer would pay $765
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Then after the sale, the price is marked up by 15%
This means we'll multiply by 1.15 to indicate a 15% increase
1.15*765 = 879.75
Notice that we don't get back to the original price (900) even though we increased by the same percentage as before. This is because 15% of a smaller number is a smaller amount; ie we have a smaller increase compared to the decrease earlier.
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Afterwards, divide the value 879.75 over the original price of $900
879.75/900 = 0.9775
Move the decimal point two spots to the right to end up with 97.75%
That percentage rounds to 98% when rounding to the nearest whole percent.
4/9 is the simplest ratio......