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3 years ago

Plz help me with this it’s really important

Mathematics

1 answer:

daser333 [38]3 years ago

5 0

Answer:

axis of symmetry is 2

vertex is (2,-4)

Step-by-step explanation:

I hope this helps.

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Short Response

garik1379 [7]

Answer:

(a)2(89x+84)

(b) $2(89x+84-x^2\pi)$

Step-by-step explanation:

The dimensions of the larger rectangular field are:

Length=5x + 12; Width = 9x + 14.

The dimensions of the smaller rectangular soccer field are:

Length=5x; Width = 9x.

(a)Area of the part of the field that is outside the soccer field

=Area of the larger rectangular field - Area of the Soccer Field

=(5x+12)(9x+14)-5x(9x)

=(5x)(9x)+70x+108x+168-5x(9x)

=178x+168

=2(89x+84)

(b)Radius of the Semicircular Fountain =2x

From Part (a),

Area of the larger rectangular field - Area of the Soccer Field=178x+168

Area of the Semicircular Fountain = $\dfrac{\pi r^2}{2} =\dfrac{\pi (2x)^2}{2} =\dfrac{4x^2\pi}{2} =2x^2\pi$

Area of the Field that does not include the soccer field or the fountain.

=Area of the larger rectangular field - Area of the Soccer Field-Area of the Semicircular Fountain

$=178x+168-2x^2\pi\\=2(89x+84-x^2\pi)$

8 0

3 years ago

How do you do this?please help

d1i1m1o1n [39]

Answer:

10.5 ft.

Step-by-step explanation:

1. Find the radius of the larger circle

4/7 = 3/r --> the ratio should be constant

cross-multiplication: 21 = 4r

Divide: r = 5.25 ft.

2. Find the circumference

Equation: C = 2πr

C = 2π*5.25

C = 10.5π ft.

7 0

3 years ago

In a state's Pick 3 lottery game, you pay $1.15 to select a sequence of three digits (from 0 to 9), such as 966. If you sel

m_a_m_a [10]

Answer:

A) 1000 different selections

B) probability of winning = 0.001

C) Net profit on winning = $257.20

D) E(y) = -0. 89165

E) Option B - The Pick 4 game is a better bet because it has a larger expected value.

Step-by-step explanation:

A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections

B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001

C) Net profit on winning = Amount won - Amount staked

Amount won = $258.35

Amount staked = $1.15

Thus;

Net profit on winning = $258.35 - $1.15

Net profit on winning = $257.20

D) If we call the net profit "y", then Expected value is:

E(y) = 257.2(0.001) - 1.15(1 - 0.001)

E(y) = 0.2572 - 1.14885

E(y) = -0. 89165

E) We are told that:If you bet $ 1.15 in a certain state's Pick 4 game, the expected value is negative −$0.89

The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.

6 0

3 years ago

daniiel is currently 26 years older than his son. in 6 years he will be three times older than his son. how old are both of them

Molodets [167]

Answer:

Daniiel is 33 years old.

The son is 7 years old.

Step-by-step explanation:

x+26=3x

The x represents the son.

To solve for x:

-26=x-3x

-26=-2x

x=13

Since the father will be 3 times his son's age in six years we subtract 6.

x=7

This means the son is 7 years old as of right now. To find the father's age you do 7+26=33

7 0

3 years ago

Justin and his children went into a bakery and where they sell cookies for $0.75 each and brownies for $1.25 each. Justin has $1

enot [183]

Answer:

Justin could buy up to 8 cookies.

Step-by-step explanation:

7 * 1.25 = 8.75

15 - 8.75 = 6.25

6.25/.75 = 8.3333333

5 0

3 years ago