Answer:
Step-by-step explanation:
A) 604.2
B) 609.9
C) 537.42
D) 542.49
Dixon is 6 feet tall, Ariadne is 4 feet tall by proportion.
What in mathematics is a proportion?
- A proportion is an equation that sets two ratios at the same value.
- For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)
We can use the proportion.
We already know that Dixon is 6 ft tall and that his shadow is 9 ft long.
Also we know that the shadow of his sister is 6 ft long.
6 : x = 9 : 6, or 6 / x = 9 / 6.
After that we will cross multiply : 9 * x = 6 * 6,
9 x = 36 ,
x = 36 /9,
x = 4.
Ariadne is 4 feet tall.
Learn more about proportion
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The complete question is -
Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixon's shadow is 9 feet long and Ariadne's shadow is 6 feet long. If Dixon is 6 feet tall, how tall is Ariadne?
The value of the unknown length is 24
<h3>How to determine the
unknown length?</h3>
Represent the unknown length with x.
So, we have the following equivalent ratio:
30 : 30 + x = 25 : 45
Express as fraction
30/30 + x = 25/45
Simplify the fraction
30/30 + x = 5/9
Cross multiply
150 + 5x = 270
Evaluate the like terms
5x = 120
Divide by 5
x = 24
Hence, the value of the unknown length is 24
Read more about similar shapes at:
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Answer:
Sample response:
To determine the relationship between quantities, you must determine what to do to the x-values to make them into y-values. The correct operation must turn every x-value into the corresponding y- value in the table. Once you know the relationship, you can use the same operation on all of the x-values that have unknown y-values.
OR:
In a table to get from x to y you have to multiply by a number. To find this you must divide x by y or y by x. So to get the missing quantities you must multiply the last known number by the number you found by dividing.
(2B +5A)/7 = (2(-2, -12) +5(-9, 2))/7 = (-4-45, -24+10)/7 = (-7, -2)
Selection B is appropriate.
