You originally draw a design for an art contest on a 4 in. x 5 in. card. The second phase of the contest requires the drawing to
1 answer:
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Answer: x = 780
Step-by-step explanation: Well <u><em>percent</em></u> means <em>over 100</em> so we can set up an equation for this problem by reading it from left to right.
So we know that <u><em>10%</em></u> means <em>10/100</em>, <u><em>of</em></u> means times, <em><u>what</u></em> <em><u>number</u></em> means <em>x</em>, <u><em>is</em></u> means <em>equals</em>, and <em><u>12</u></em> means 12.
Notice that <em>10/100</em> can be reduced to 1/10.
So rewriting our problem we have <em>X/10 = 78</em>.
To get rid of the fraction, we multiply both sides of the equation by 10 and we have <em>x = 780</em>. So, 10% of 780 is 78.
Now let's check our answer back in the original problem to see if it makes sense.
We have <em>10% of 780 is 78</em>. Well we know that 100% of of 780 would be 780 so 10% of 780 should be alot less than 780 so 78 seems to make sense.
Image provided showing my work.
Answer:
The radius of the circle is 16.97 feet
Step-by-step explanation:
First, we will the determine the length of one the sides of the square lawn.
From the question,
The square lawn has an area of 1152 square feet,
Now, we can determine the length of a side of the square lawn from the formula,
( Formula for Area of a square)
Where is the area of the square lawn
and is the length of a side of the square lawn
From the question, = 1152 square fee
Then,
feet or
feet
This is the length of one of the sides of the square lawn.
From the description in the question, the sprinkler sprays water in a circular pattern that just covers the lawn,
If the circular pattern formed just covers the lawn,
then, the diameter of the circle equals the length of one of the sides of the square lawn, that is,
Where is the diameter of the circle
Hence, feet
This is the diameter of the circle.
Now, for the radius of the circle,
From the relation between radius and diameter,
Then,
feet or
feet
Hence, the radius of the circle is 16.97 feet