MATHEMATICS HIGH SCHOOL

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 1
Answer:

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

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Anna runs three over4 mile in six minutes. Assuming she runs at a constant rate what is her speed in miles per hour

Answers

Answer:

7.5 mph

Step-by-step explanation:

6 times 10 is 60 minutes which is an hour

3/4 times ten is 7.5

What is the graph of two variables that are directly proportional to one another?

Answers

The graph is a straight line that passes through the origin.

For instance, the linear equation y = 6x is a direct proportion.

If the line doesn't pass through the origin, then it's not a direct proportion. The equation y = 2x+5 for instance is not a direct proportion.

-13=7d+64 what is the answer

Answers

Step 1: move 64 to a left side, -13 - 64 = 7d

Step 2: -77 = 7d

Step 3: (-77)/(7) = d

Step 4: d = -11
it is d=11
because u subtract the negative 64 with a positive for a positive and negative turn 0 then u got to do the same side with -13-(-64)=7d then u add -13+-64=77 after u done that it will be 77=7d divide it by 7 on both side then u get d=11

What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi.Radius = 5cm.
a. 982 sq. cm
C. 314 sq.cm
b. 1481.34 sq.cm
d. 628 sq. cm

Answers

Answer:

314cm²

Step-by-step explanation:

Surface area(sphere) =4πr²

4 * 3.14 * (5²)

4 * 3.14 * 25

Hence, Surface area is 314sq.cm
The best answer is C 314 sq.cm because that is the use of pi

in 15 seconds, connor counts 7 vehicles passing by his house. At this rate how many vehicles would pass by in 5 hours

Answers

Multiply by 4 to get to one minute —>28.
Multiply by 60 to get to one hour—> 1,680
Multiply by 5 to get to 5 hours—> 8,400

Answer:

8,400

Step-by-step explanation:

I did the assignment and got that answer right.

A central angle in a circle with a radius of 3cm intercepts an arc with a length of 6cm. What is the radian measure of the central angle?

Answers

The correct answer for the question that is being presented above is this one: 

Radian Measure can be acquired by using the formula
Radian Measure = arc length / radius
Radian Measure = 6 cm / 3 cm
Radian Measure = 2 rad.

Answer:

The correct answer for the question that is being presented above is this one:

Radian Measure can be acquired by using the formula

Radian Measure = arc length / radius

Radian Measure = 6 cm / 3 cm

Radian Measure = 2 rad.
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