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Answer:
JM = 20 units
Step-by-step explanation:
∵ Hexagon RSTUVW is similar to hexagon JKLMNP
∴ The corresponding sides and diagonals have a constant ratio
∴ 
∵ ST = 6 units
∵ KL = 10
∴ 
- Simplify it by dividing up and down by 2
∴ 
∵ 
∵ RU = 12 units
∴ 
- By using cross multiplication
∴ JM × 3 = 5 × 12
∴ 3 JM = 60
- Divide both sides by 3
∴ JM = 20 units
Answer:
15 miles per hour
Step-by-step explanation:
Speed = distance / time
Speed = 225/15
Speed = 15 miles per hour
<h2>Recurring decimals such as 0.26262626…, all integers and all finite decimals, such as 0.241, are also rational numbers. Alternatively, an irrational number is any number that is not rational. ... For example, the square root of 2 is an irrational number because it cannot be written as a ratio of two integers.</h2><h2>Worked Examples
</h2><h2>1 - recognize Surds
</h2><h2>A surd is a square root which cannot be reduced to a whole number.
</h2><h2>
</h2><h2>For example,
</h2><h2>
</h2><h2>4–√=2
</h2><h2>is not a surd, because the answer is a whole number.
</h2><h2>
</h2><h2>Alternatively
</h2><h2>
</h2><h2>5–√
</h2><h2>is a surd because the answer is not a whole number.
</h2><h2>
</h2><h2>You could use a calculator to find that
</h2><h2>
</h2><h2>5–√=2.236067977...
</h2><h2>but instead of this we often leave our answers in the square root form, as a surd.
</h2><h2>
</h2><h2>2 - Simplifying Surds
</h2><h2>During your exam, you will be asked to simplify expressions which include surds. In order to correctly simplify surds, you must adhere to the following principles:
</h2><h2>
</h2><h2>ab−−√=a−−√∗b√
</h2><h2>a−−√∗a−−√=a
</h2><h2>Example
</h2><h2>(a) - Simplify
</h2><h2>
</h2><h2>27−−√
</h2><h2>Solution
</h2><h2>(a) - The surd √27 can be written as:
</h2><h2>
</h2><h2>27−−√=9–√∗3–√
</h2><h2>9–√=3
</h2><h2>Therefore,
</h2><h2>
</h2><h2>27−−√=33–√
</h2><h2>Example
</h2><h2>(b) - Simplify
</h2><h2>
</h2><h2>12−−√3–√
</h2><h2>Solution
</h2><h2>(b) -
</h2><h2>
</h2><h2>12−−√3–√=12−−√∗3–√=(12∗3)−−−−−−√=36−−√
</h2><h2>36−−√=6
</h2><h2>Therefore,
</h2><h2>
</h2><h2>12−−√3–√=6
</h2><h2>Example
</h2><h2>(c) - Simplify
</h2><h2>
</h2><h2>45−−√5–√
</h2><h2>Solution
</h2><h2>(c) -
</h2><h2>
</h2><h2>45−−√5–√=45/5−−−−√=9–√=3
</h2><h2>Therefore,
</h2><h2>
</h2><h2>45−−√5–√=3</h2>
Answer:
He is asking about the power not the answer. I did a small calculation like 8*3 should be a 2 digits number. Took 10^1 out & simply 10^1*10^12*10^2= 10^15
7,000 pounds is equal to 3.5 tons.
