88 times 1.8 would be 158.4! Hope this helps!
Answer:
See below
Step-by-step explanation:
You need to create an equation that will give you the results with the correct units of measurement that they are asking for. In the first question, they are asking you to give the answer in seconds. So when you set up your equation, seconds have to be on the top. The way to think of this is to actually reword the statement they give you by saying in 1 second, light travels 3 x 10 to the 8th power which is 3 with 8 zeros after it. Then it's easier to set up the equation as below. The distance from the Sun to Mars is 230,000,000,000 meters which is the same as saying 2300 x 10 to the 8th power. Notice I counted 8 of the zeros and used that in the exponent but left the rest as part of the original number. This will make it easier since you are dealing with two number that have exponents raised to the same power of 8.
1 sec 2300 x 10⁸ m
-------------- X -------------------- =
3 x 10⁸ m 1
When you look at this equation it looks difficult but since both the top number and bottom number are exponents raised to the same power, they cancel each other out. So you can drop the exponent all together and just divide the top number by the bottom number 2300 ÷ 3 which equals 766 seconds.
The second question needs you to take the distant the Sun is from Earth and subtract that from the distance from the Sun to Mars. By subtracting those two, it will tell you how far Mars is from the Earth. You can change the numbers a little bit to make it easier on you. Again you want the exponent for both numbers to be the same to make it easier. When you subtract two number with the exact same exponent, you can just subtract the number and then use that same exponent as part of your answer.
The distance between the Sun and Mars is 23 with 10 zeros after it. So that is the same as writing 23 x 10¹⁰. The distance from the Sun to Earth is said to be 1.5 x 10¹¹ but that is a different exponent. So if you move the decimal on this number one place to the right, it will be 15 x 10¹⁰. Now you can easily subtract those numbers without worrying about the exponent since they are the same.
23-15 =8 but now you have to put the exponent back on. So your answer ends up being
8 x 10¹⁰ or 8 with 10 zeros or 80,000,000,000 meters.
5.6x10^-3 yd/year in feet per day.
There are 3 feet in a yard
(5.6x10^-3)x3=1.68x10^-2 feet/year
Let's take there to be 365 days in the year (Fun fact: The actual duration of our year is <span>365 days 5 hours, 48 minutes 46 seconds)
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Therefore the correct answer is D.</span>
If two triangles are similar, it means that one is the scaled version of the other.
In similar triangles, correspondant angles are the same, and correspondant lengts are all in the same ratio 
. The ratio between the areas is 
.
So, for example, if the scale ratio is 
, all sides of the new triangle are twice as long as the sides of the old one, and the area of the new one is 
times the area of the old one.
Since in this case the two areas are equal, their ratio is 
. This implied that also 
, which means that also correspondant sides are equal.
In other words, these two triangles are not only similar, but congruent. This means that, in particular, all correspondant sides have same length, so the longest side of ABC has a length of 25 as well.
