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3 years ago

A biking track has a length of 0.9 miles . How long is this in feet ?

Mathematics

2 answers:

Anika [276]3 years ago

5 0

4,752 will be your answer

PtichkaEL [24]3 years ago

5 0

0.9 miles converted to feet is 4,752

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How do you graph (-4,5) (0,3) (4,1)

inna [77]

Answer:

Step-by-step explanation:

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3 years ago

The table below shows the participation in the town soccer league during its first five seasons.

emmasim [6.3K]

Answer:

C. $y=6.75x+81.25$

Step-by-step explanation:

We are given that

In I year, number of participants=88

In V year, number of participants=115

We have to find the equation of the trend line that can be generated by using the data from years 1 and 5.

Rate of change of participants = $\frac{change\;in;participants}{change\;in\;time}=\frac{115-88}{5-1}$

Rate of change of participants,m=6.75

Point-slope form: $y-y_1=m(x-x_1)$

Where m=Rate of change of participants per year

$x_1=5,y_1=115$

By using the formula

Substitute the values then we get

$y-115=6.75(x-5)$

$y-115=6.75x-33.75$

$y=6.75x-33.75+115$

$y=6.75x+81.25$

Hence, option C is true.

8 0

4 years ago

Jethro wants a swimming pool in his backyard, so he digs a rectangular hole with dimensions 40 feet long, 20 feet wide, and 5 fe

KiRa [710]

4000 feet.
Solve by multiplying 40 20 and 5.

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3 years ago

X and Y are center of circles which intersect at A and C. XA and XC are produced to meet at B and D. Prove AB = CD.

Y_Kistochka [10]

Answer:

On the diagram, construct lines BY, XY and DY.

Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.

BX=DX

AB+radius = CD +radius

AB=CD

3 0

3 years ago

Which of the following sets represents the solution of the equation below?

inn [45]

Answer:

$x=\frac{-1+\sqrt{5}i}{3}$ or $x=\frac{-\sqrt{5}i-1}{3}$

Step-by-step explanation:

The given equation is

$-\frac{3}{2}x^2=x+1$

We multiply through by -2 to get;

$3x^2=-2x-2$

We rewrite in standard quadratic equation form to obtain;

$3x^2+2x+2=0$

The solution to this equation can be found using the formula;

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where $a=3,b=2,c=2$

We substitute these values to obtain;

$x=\frac{-2\pm\sqrt{2^2-4(3)(2)}}{2(3)}$

This implies that;

$x=\frac{-2\pm\sqrt{4-24}}{6}$

$x=\frac{-2\pm\sqrt{-20}}{6}$

$x=\frac{-2\pm2\sqrt{-5}}{6}$

$x=\frac{-1\pm\sqrt{5}i}{3}$

Hence the solution is;

$x=\frac{-1+\sqrt{5}i}{3}$ or $x=\frac{-\sqrt{5}i-1}{3}$

8 0

3 years ago