Answer:
KM = 15
Step-by-step explanation:
From the diagram, ΔJKL and ΔJKM are similar to each other because they share the same angle J and they are both right angle triangle. Therefore they are similar by AA property.
Since JL=25 and JM=5, JM = JL + JM= 25 + 5 = 30
Since ΔJKL and ΔJKM are similar to each other, therefore:
First, we need to convert the 2 acres in square inches, given that an acre is composed of 6.273x10^6 square inches. Then, multiply by the price given per 10^6 square inches.
(2 acres) x (6.273x10^6 square inches/acre) x ($12.50 / 10^6 square inches)
The answer would be $156.825.
The correct answer is: [C]: " 11x⁹ − x + 15 " .
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Explanation:
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Given:
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" (x⁹ − x + 8) + (10x⁹ + 7) " ; Simplify/ Add.
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We can rewrite this as:
" 1x⁹ − 1x + 8 + 10x⁹ + 7 = ?
→ {The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.
Combine the "like terms" :
+ 1x⁹ + 10x⁹ = 11x⁹ ;
+ 8 + 7 = 15 ;
and we are left with: " − 1x " ; which we can rewrite as: " −x " ;
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So, we can write our answer as:
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→ " 11x⁹ − x + 15 " ;
→ which is: "Answer choice: [C]: " 11x⁹ − x + 15 " ;
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The answer is 100. Because 57 is closer to 100
Answer:
Abigail walks more steps than Mary.
To find out who many steps each one of them walks in a week, we have to carry out different calculations starting with Abigail.
Calculation for number of steps taken by Abigail
Abigail takes 6000 steps in 50 minutes. We can use this information to scale up his number of steps over a period of 5 hours(300 minutes.). The quickest way to do this calculation, is to notice that there are 6 different 50 minute segments in 300 minutes. This means that the number of steps taken in 5 hours is steps.
Another way to do this calculations is to use proportions
.
Abigail takes 36000 steps that week.
Calculation for number of steps taken by Mary
The number of steps taken by Mary is given by the is given by the function where is the time in minutes. Mary walks for a total of 5 hours or 300 minutes. We calculate the number of steps she takes as shown below,
Mary takes a total of 35400 steps.
Since 36000 steps is greater than 35400 steps, we conclude that Abigail walks more steps than Mary.