If there are equal amounts of blue and green marbles, then there are 56 of each; so 112 altogether. That leaves 28 red and yellow marbles; therefore 14 red marbles.
The perimeter of the figure to the nearest tenth is 44.6 units
<h3>Perimeter of a figure?</h3>
The perimeter of a figure is the sum of the whole sides.
Therefore,
A parallelogram has opposite sides equal to each other.
Therefore, the perimeter of the figure is as follows;
The figure combines a parallelogram and a semi circle.
Therefore,
perimeter of the figure = 4 + 14 + 14 + πr
perimeter of the figure = 32 + 3.14 × 4
perimeter of the figure = 32 + 12.56
perimeter of the figure = 44.56
perimeter of the figure ≈ 44.6 units
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Answer:
Tan is the ratio of "opposite" side to "adjacent side
Cos is the ratio of "adjacent" to "hypotenuse"
Sin is the ratio of "opposite" to "hypotenuse"
We will write the trig ratios with respect to the angle "x"
Opposite Side is "c"
Adjacent Side is "b"
Hypotenuse is the side opposite of 90 degree angle, "a"
Now, let's write the ratios:
Step-by-step explanation:
Answer:
53 teachers
Step-by-step explanation:
Basically, what we need to do here is to find how many teachers there need to be, first. If there are 6,734 students in the school district and if maximum class size is 25, then the number of teachers needed is:
6,734 / 25 = 269.36
Of course, it's obvious that we can't have a decimal number of teachers, so we need to find integer (269 or 270).
If we take 269 teachers and 25 students per class, we get:
269 • 25 = 6,725 students, which is not enough, since there are 6,734 students.
That means that the number of teachers needed is 270.
It is given that there are already 217 teachers, meaning that 270-217=53 teachers have to be supplemented.
Answer:
Shift the graph up 3 units.
