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s344n2d4d5 [400]

2 years ago

10

There are 11 player positions on a high school soccer team. One coach uses these positions: 1 goalie, 4 midfielders, 1 center, 3

defenders and 2 forwards. Write a ratio in simplest form to express each relationship.

1 answer:

Keith_Richards [23]2 years ago

8 0

Answer:

1:4:1:3:2

Step-by-step explanation:

You might be interested in

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

2 years ago

thirteen of 50 states in the united states do not touch the ocean. write 13/50 as a decimal and percent

SOVA2 [1]

To find decimal, divide 13/50= 0.26

To find percent divide decimal above by 100 (or move decimal place to the right two places).

0.26/100= 26%

Hope this helps! :)

8 0

2 years ago

4(2x - 5) + 15 = 11 Write the steps you will use to solve the equation and explain each step.

vagabundo [1.1K]

First, multiply 4*2x-4*-5= 8x-20.
Second, add 15 to 8x-20
Third, that would equal 8x-20+15=11
Fourth, 15+-20= -5
Fifth, 8x-5=11
Sixth, add +5 to -5 and +5 to 11= 8x=16
Last, do 8x/8x and 16/8x
The answer is x=2

6 0

2 years ago

Read 2 more answers

Moscow: -5.5°C Cold Lake: -17.5°C Choose the correct inequality symbol to complete the inequality statement, -5.5°C ________ -17

aleksandrvk [35]

Answer:

-5.5°C > -17.5°C

Step-by-step explanation:

Since -5.5 is larger than -17.5

8 0

1 year ago

alexandr1967 [171]

Answer:

Part 1) The draw in the attached figure

Part 2) $m\angle ABD=50^o$

Step-by-step explanation:

Part 1) Draw the described circle

The draw in the attached figure

Part 2) What is the measure of angle ABD

step 1

Find the measure of arc AD

Remember that

$arc\ AD+arc\ DC+arc\ AC=360^o$ ----> by complete circle

substitute the given values

$arc\ AD+124^o+68^o=360^o$

$arc\ AD=360^o-192^o=168^o$

step 2

Find the measure of angle ABD

we know that

The measurement of the external angle is the half-difference of the arches that comprise

In this problem

The measure of angle ABD is an external angle

so

$m\angle ABD=\frac{1}{2} [arc\ AD-arc\ AC]$

substitute the given values

$m\angle ABD=\frac{1}{2} [168^o-68^o]=50^o$

5 0

3 years ago