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3 years ago

14

Emily is training for a 10K race. On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she ru

ns for 40 minutes. If this pattern continues, how many minutes will she run on day 12?

1 answer:

Shalnov [3]3 years ago

6 0

Answer:

130

Step-by-step explanation:

:0

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Simplify.<br> (7y2 +2y-5) – (5y2 - 2y,3)+(-5y2 - 3y-3)

igor_vitrenko [27]

Answer: -3y2 - -3y-5 also could be written as -3y2 +3y-5

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In triangle FGH, GJ is an angle bisector of ∠G and perpendicular to FH.

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The picture in the attached figure

we know that
If line GJ bisects the angle FGH, that means we also know that the angle FGH is divided into two equal sizes.

Now, we have
Angle FGJ = Angle HGJ
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This information means that angle GHJ = angle GFJ

We have two congruent right-angled triangle
We can then further deduce that
Side GF = Side GH
Since triangle FGJ and triangle GJH are congruent,
then
side FJ equals to side JH
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Hence,
the length of FH = 2×8=16 units

the answer is
FH=16 units

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Maximilian had 4/5 bag of trail mix. He divided the trail mix equally among 5 friends. What fraction of the full bag of trail mi

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2. An arc is a smooth piece of a circle. A major arc of a circle is an arc that is

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Answer: Major arc = ∅/360 (2πr)

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Just as a slice of pizza is a minor part of the whole shape, in the same way an arc is a minor part of a circle. However, to calculate the length of the arc, the angle at the center which encloses the arc must be given and the radius of the circle must also be given.

If an arc runs around a circle and turns out to be longer than half of the entire length of the circumference, it is labelled as a major arc. Basically, the formula for calculating the length of an arc is the same for either a minor or a major arc.

Therefore, to calculate the length of an arc, you would need to find the proportion of the circle represented by the arc and that can be calculated by dividing the angle binding the arc by 360 (size of an angle at a point equals 360 degrees). So, if the angle that encloses the arc is 60 degrees for example, then the portion of the circle taken by the arc is given as

60/360

This means the length of the arc (which is a portion of the entire circumference) can be determined by multiplying the portion of the central angle by the entire length of the circumference.

Therefore you can calculate the measure of major arc ABC by applying the formula

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And where the only the angle measure of the minor arc is given, the angle measure of the major arc can be derived as 360 - angle of minor arc. That is;

Angle of major arc = 360 - angle of minor arc

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