MATHEMATICS HIGH SCHOOL

Select the proper order from least to greatest for 1/2, 5/6, 2/7, 4/2?

Answers

Answer 1

Answer:

Answer: Proper order form least to greatest is given by

$(2)/(7),(1)/(2),(5)/(6),(4)/(2)$

Step-by-step explanation:

Since we have given that

$(1)/(2),(5)/(6),(2)/(7),(4)/(2)$

We need to write it in proper order from least to greatest.

For this we are required to take the L.C.M. of denominators:

1) L.C.M. of 2,6,7,2 = 42

2) Make the denominator 42:

$(1)/(2)* (21)/(21)=(1* 21)/(2* 21)=(21)/(42)\n\n(5)/(6)* (7)/(7)=(5* 7)/(6* 7)=(35)/(42)\n\n(2)/(7)* (6)/(6)=(2*6)/(7* 6)=(12)/(42)\n\n(4)/(2)* (21)/(21)=(4* 21)/(2* 21)=(48)/(42)$

From least to greatest :

$(12)/(42),(21)/(42),(35)/(42),(48)/(42)\n\n(2)/(7),(1)/(2),(5)/(6),(4)/(2)$

Answer 2

Answer: the least is 2/7 then 1/2 then 5/6 and the greatest is 4/2

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A helicopter flies 312 miles against the wind in 2 hours; with the wind, it can fly 468 miles in the same amount of time. Find the speed of the helicopter in still air.

Answers

Answer:

78miles/hour

Step-by-step explanation:

If a helicopter flies 312 miles against the wind in 2 hours, the speed of the helicopter in air is expressed as shown;

Speed = Distance/Time

Speed = 312miles/2hours

Speed = 156miles/hr

The speed of the helicopter against the wind is 156miles/hr

If it can fly 468 miles in the same amount of time, the speed during this time at this distance will be;

speed = 468 miles/2hours

Speed = 234miles/hr

The speed of the helicopter in still air = Speed while flying - Speed while against the wind

The speed of the helicopter in still air = 234miles/hr - 156miles/hr

The speed of the helicopter in still air = 78miles/hour

Simplify the expression. q+12q

a. -13q

b. -11q

c. 11q

d. 13q

Answers

Answer:

13q

Step-by-step explanation:

q is the same as 1q

1q + 12q = 13q

Explain how you can use a straightedge and a compass to construct and angle that is both congruent and adjacent to a given angle?

Answers

Explain how you can use a straightedge and a compass to construct and angle that is both congruent and adjacent to a given angle?

Answer: for this you will simply have to use the straightedge to draw two parallel lines and then you draw a line that goes through them that is perpendicular. You then use the compass to measure the angles, they should be congruent and adjacent.

I hope it helps, Regards.

Let's say x is the given angle

with compass point at A , draw a large arc cutting the line at C

then place compass at point c and draw a small arc through D

Then keeping the compass point at C, draw a similar small arc at E

Join A and E with straight edge

hope this helps

What additional information do you need to prove that ∆LMO ≅ ∆LNO by the HL Theorem? ∠NLO ≅ ∠MLO ∠MOL ≅ ∠NOL

Answers

The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The triangles ΔLNO and ΔLMO have the same leg Lo, therefore you need the equality of hypotenuses LM=LN.

For a better understanding of the solution given here please find the diagram in the file attached.

We know from the Hypotenuse Leg Theorem (the HL theorem) that "if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent."

Thus, as can be seen from the diagram, Side LO (also called leg LO) is common to both the triangles LMO and LNO. Therefore, the additional information that will be required to prove the congruence is that the respective hypotenuses, MO and NO are equal.

If I make $7.25 a hour and I work for three days how much money is that every two weeks

Answers

There are a couple of things you didn't mention.
In order to come up with an answer to the question,
I have to assume reasonable numbers for them, and
then answer the question that I have invented.

Assumption #1: Each day that you work, you work for 8 hours.

Assumption #2: You work for three days each week.

If those assumptions are true, then you earn

($7.25 / hour) x (8 hours/day) x (3 days/week) x (2 weeks) =

($7.25 x 8 x 3 x 2) = $348 before taxes and other deductions.

I am pretty sure it would be $43.50 every two weeks because $7.25 x 3 is 21.75 and then for two weeks add 21.75 +21.75

An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many hours does it take to use one gallon?

Answers

3 gallons = 9 hours
3/9 gallons = 1 hour

3 gallons = 9 hours
1 gallon = 9/3 hours

Therefore, It will use 1/3 gallons of water each hour and will use 1 gallon in 3 hours

Answer:

First find out the how many gallons of water does it use each hour .

To prove

As given

An ice machine uses 3 gallons of water every 9 hours.

3 gallons of water = 9 hours

$Water\ uses\ by\ ice\ machine\ in\ one\ hours = (3)/(9)$