Answer:
Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:
We use just the positive root, since we are looking for an actual length. then, the requested side is:
The interval where the function is nonlinear and decreasing is 0 < x < 4
<h3>How to determine the interval where the function is nonlinear and decreasing?</h3>
The straight lines on the graph are the intervals where the graph is linear
This means that the straight lines on the graph will not be considered
Considering the curve, the graph decrease from x = 0 to x = 4
This can be rewritten as:
0 < x < 4
Hence, the interval where the function is nonlinear and decreasing is 0 < x < 4
Read more about function intervals at:
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Answer:
She will use the ratio shortening to flour as 4 : 15
Step-by-step explanation:
When Mrs. Stewart makes pie dough, she uses 
cups of shortening for every 
cups of flour.
So, for each cup of shortening she uses 
cups of flour.
Then, the ratio of shortening to flour in the mixture of pie dough will be
i.e. 4 : 15.
Therefore, she will use the ratio shortening to flour as 4 : 15 to find the amount of flour she needs when she uses 5 cups of shortening. (Answer)
The central angle of the hexagon is equal to 60º.
Therefore, the trigonometric relationship for the radius is given by:
Where,
a: apothema of the hexagon
c: Hexagon radius.
Clearing the radio we have:
Substituting values:
Rounding to the nearest whole number we have:
Answer:
The measure of the radius, c, rounded to the nearest inch is:
C. 14 in.
