Answer:
I. L = 10.35 feet
II. W = 93.15 feet.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangular field = 1700 feet
Translating the word problem into an algebraic expression, we have;
W = 9L
Mathematically, the formula for the perimeter of a rectangle is;
P = 2(L + W)
A. To write an equation;
X = P = 2(L + W)
B. To find the dimensions of the field;
207 = 2(L + 9L)
207 = 2L + 18L
207 = 20L
L = 207/20
L = 10.35 feet
To find the weight;
W = 9L
W = 9 * 10.35
W = 93.15 feet.
Therefore, the width of the field is
93.15 feet and the length of the field is
10.35 feet.
Pay attention here because I'm adding an extra letter to our circle to help keep track of the values in our formula. OUTSIDE of the intercepted arc I'm adding the point E. So the major arc is arc BEG and the minor arc is arc BG. The formula then for us is ∠
. We just don't have values for the arcs yet. If the measure of the central angle is 4x+238, then the measure of arcBG is also 4x+238. Around the outside of the circle is 360°. So we will use it in an expression. ArcBEG=360-(4x+238). Fitting that into our formula we have
. Doing all the simplifying inside there we have
and
. Multiply both sides by 2 to get rid of the fraction: 4x+292=-8x-116. Combine like terms to get 12x = -408 and divide to solve for x. x = -34. Fourth choice down from the top.
Answer:
Step-by-step explanation:
<u>Use two points on the line to find the equation:</u>
<u>Find the slope:</u>
<u>The line is:</u>
The mistake was the swapped slope and y-intercept values.
Answer:
The Pie Eating Contest would be more skewed.
Step-by-step explanation:
In order to answer this, first we need to draw original histograms for both of these two events. Since all of the 20 people from the retirement community is attending one of the events, but we don't know which one, we need to draw new histograms for each of the events (see the attachment).
The only distinction of new histograms is the change in the fourth bin representing the 60-79 age group, since all visitors from retirement community fall into this age group.
A histogram is symmetrical if, when split in half by a vertical line, its left and right half act approximately as an object and its reflection in the mirror.
A histogram is skewed if, when split in half by a vertical line, one of its halves shows much greater values then the other.
So looking at our histograms, if all 20 people went to a Pie Eating Contest, that histogram would become more skewed and if all 20 people went to a Chili Cookoff, that histogram would become more symmetrical, which makes b) the correct answer.
Answer:
There can be 9 arrays.
Step-by-step explanation:
We are asked that the number of arrays that Courtney can make with 36 photos.
The dimensions of the possible arrays are
Here, the array with 1 row by 36 columns and 36 rows by 1 column are different. (Answer)