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Aleks04 [339]
2 years ago
6

The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of mile

s a commercial jet is from its destination x minutes after takeoff is shown in the graph below.

Mathematics
1 answer:
nevsk [136]2 years ago
7 0

Answer:

Step-by-step explanation:

Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.

f(x) = 40 - 2x

For x = 0,

f(x) = 40 miles

For f(x) = 0,

0 = 40 - 2x

x = 20 minutes

This shows that helicopter traveled 40 miles in 20 minutes.

Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.

For x = 0,

f(x) = 500 miles

For f(x) = 0,

x = 100 minutes

Commercial jet traveled 500 miles in 100 minutes.

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Here is how you do it....
You will subtract 500 minus 225 to get the number of tails. The number of tails is 275.
Now, you know your ratio is 225:500. All you need to do is simplify it.
225 divided by 25 is 9 and 500 divided by 25 is 20.
Now, the ratio that you have is 9:20.
6 0
2 years ago
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Chester, the dog, loves to eat treats. He has eaten twice as many today as yesterday. He has eaten a total of 15 dog treats in b
stich3 [128]

Answer:

The equations are:

T = 2Y and T + 2Y = 15

Step-by-step explanation:

Given

Represent bones eaten Today with T and yesterday with Y

Required

Write the equation

In the first statement, we have that:

T = 2Y

Reading further; In the second statement

T + 2Y = 15

Hence, the equations are:

T = 2Y and T + 2Y = 15

Solving further:

Substitute 2Y for  T in the second equation

2Y + 2Y = 15

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Y = \frac{15}{4}

Y = 3.75

Recall that

T = 2Y

T= 2 * 3.75

T= 7.5

7 0
2 years ago
Of the 125 people in the community choir, 22 of them actually come from other communities. What fraction of the choir comes from
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The answer is 17.6%
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3 0
2 years ago
Tan20+tan40+tan60.......+tan180=?
Leno4ka [110]
The answer is 0. 
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2 years ago
A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
Pie

Answer:

(D) is the right answer

Step-by-step explanation:

The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.

A triangular pyramid has four faces.  So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.

A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.

B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.

C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.

D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.

So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.


8 0
2 years ago
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