Is this worded weird or is it just me?

Answer:

Alex's ride is $15.25

The equation to find this is

1.25m + 4 = cost

m = miles traveled

Answer:

a) Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

b) Given:

Substituting these values into the equation and rearranging:

⇒ (x - 3)² + x² = 15²

⇒ x² - 6x + 9 + x² = 225

⇒ 2x² - 6x - 216 = 0

c) Solve  2x² - 6x - 216 = 0  by factorizing:

2x² - 6x - 216 = 0

⇒ x² - 3x - 108 = 0

⇒ x² - 12x + 9x - 108 = 0

⇒ x(x - 12) + 9(x - 12) = 0

⇒ (x - 12)(x + 9) = 0

⇒ x - 12 = 0 ⇒ x = 12

⇒ x + 9 = 0 ⇒ x = -9

As distance is positive, x = 12 only.

Therefore, the height of the pole is 12 ft.

So the distance from the hook to the base = 12 - 3 = 9 ft

We need x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow 15^2-x^2=(x-3)^2[/tex]

[tex]\\ \rm\Rrightarrow 225-x^2=x^2-6x+9[/tex]

[tex]\\ \rm\Rrightarrow 2x^2-6x-216=0[/tex]

[tex]\\ \rm\Rrightarrow x^2-3x-108=0[/tex]

[tex]\\ \rm\Rrightarrow (x+9)(x-12)=0[/tex]

[tex]\\ \rm\Rrightarrow x=-9,12[/tex]

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants

The visual cliff experiment is used to test depth perception in babies, by

using an apparent cliff.

The experiment can be used to verify if the perception of depth is an

innate capability or a learned response.

The completed statement is therefore;

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants.

The phrase that completes the statement is depth perception

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Answer:

C

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The equation that can be used to find the area of the walkway is A = 3h+3b+9.

A rectangle is a plane shape that has pair of opposite sides equal and parallel.

To find the equation that could be used to find the area of the walkway, we use the formula below.

Formula

Hence, The equation that can be used to find the area of the walkway is A = 3h+3b+9

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Problem 5

------------------

Work Shown:

a = 15

b = unknown

c = 25

a^2 + b^2 = c^2

15^2 + b^2 = 25^2

225 + b^2 = 625

b^2 = 625 - 225

b^2 = 400

b = sqrt(400)

b = 20

The rectangle is a = 15 by b = 20 to get an area of ab = 15*20 = 300 square inches.

=======================================================

Problem 6

Answer:

------------------

Work Shown:

Part A)

area = base*height/2

area = 8*12/2

area = 96/2

area = 48

Part B)

a^2 + b^2 = c^2

8^2 + b^2 = 12^2

64 + b^2 = 144

b^2 = 144 - 64

b^2 = 80

b = sqrt(80)

b = sqrt(16*5)

b = sqrt(16)*sqrt(5)

b = 4*sqrt(5)

Therefore,

area = base*height/2

area = a*b/2

area = 8*4*sqrt(5)/2

area = 16*sqrt(2)

=======================================================

Problem 7

------------------

Work Shown:

area = 81

area = x^2

x^2 = 81

x = sqrt(81)

x = 9

The side lengths of the square are 9 cm each.

P = perimeter

P = 4x

P = 4*9

P = 36

=======================================================

Problem 8

------------------

Work Shown:

The horizontal base of 10 is cut in half to get 5.

a = 5 = horizontal side

b = unknown height

c = 20 = hypotenuse

a^2 + b^2 = c^2

5^2 + b^2 = 20^2

25 + b^2 = 400

b^2 = 400 - 25

b^2 = 375

b = sqrt(375)

b = sqrt(25*15)

b = sqrt(25)*sqrt(15)

b = 5*sqrt(15)

area = base*height/2

area = a*b/2

area = 5*5*sqrt(15)/2

area = 12.5*sqrt(15)

Answer:

∠2 = 41°

Step-by-step explanation:

This is because, all three interior angles in a triangle will have a sum of 180 degrees.

So given that we have two angles, 90 degrees(right angle) and 49 degrees, we can replace angle 2 as our unknown value(a variable) and make it equal to 180 degrees then solve for x;

49 + 90 + x = 180

139 + x = 180

-139        -139

x = 41°, ∠2 = 41°

Answer:

(a) = 26.4 or (132/5); 0

(b) = 26.4 or (132/5); -220

(c) = 0; -220

(d) = 0

Step-by-step explanation:

-5k²- 22k + 15

(a)

-5( -3/5 )² - 22( -3/5 ) + 15

     -1.8 + 13.2 + 15 = 26.4 or

     (-9/5) + (66/5) + 15 = (132/5)

I don't know if you do decimal points or fractions so I did both.

-5( -5 )² - 22( -5 ) + 15

-125 + 110 + 15 = 0

(b)  -5 ( -3/5 )²- 22( -3/5 ) + 15

  -1.8 + 13.2 + 15 = 26.4 or

     (-9/5) + (66/5) + 15 = (132/5)

     -5 ( 5 )²- 22( 5 ) + 15

-125 - 110 + 15 = -220

(c)

-5 ( 3/5 )²- 22( 3/5 ) + 15

-1.8 - 13.2 + 15 = 0 or

     (-9/5) - (66/5) + 15 = 0

-5 ( 5 )²- 22( 5 ) + 15

-125 - 110 + 15 = -220

(d)

-5 ( 3/5 )²- 22( 3/5 ) + 15

-1.8 - 13.2 + 15 = 0 or

     (-9/5) - (66/5) + 15 = 0

-5( -5 )² - 22( -5 ) + 15

-125 + 110 + 15 = 0

I hope this helps!

Answer:

[tex]x + 1350 \geqslant 1800[/tex]

Step-by-step explanation:

[tex]x + 1350 \geqslant 1800 \\ \\ x = 450 \\ \\ 450 + 1350 \geqslant 1800 \\ \\ 1800 \geqslant 1800 \\ \\ x + 1350 \geqslant 1800 \: (ans)[/tex]

Answer:

The second option is correct.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

24 divided by 3 = 8

68

The scale drawing is dividing everything by 2. So, the length is 19, and the width is 15. Then, you add 19 and 15 twice. So, the answer is 68.

Answer:

-0.553

Step-by-step explanation:

-11/40 = -0.275

-0.275-0.278 = -0.553

Answer:

x>

.

x>\frac{53}{6}

Step-by-step explanation:

12x>140−34

2 Simplify 140-34140−34 to 106106.

12x>106

12x>106

3 Divide both sides by 1212.

x>\frac{106}{12}

First, we make the denominators of 1/4 and 3/8 the same as the LCM (= 8)

-> 1/4 = 1 x 2 / 4 x 2 = 2/8
-> 1 - ... = 2/8 + 3/8 = 5/8

The missing fraction = 1 - 5/8 = 3/8.

Answer:

Step-by-step explanation:

I am not sure how much to answer. I'll confine myself to the written question.

Equation

24 students 1 0iece  of pizza each = 25.65

 1 piece of pizza = x

Set up a proportion

24 students are given 24 pieces of pizza -- Cost 25.65

1 student 1 piece of pizza = x

Solution

24 / 1 = 25.65/x               Cross Multiply

24x = 1 * 25.65                Divide both sides by 24

24x/24 = 25.65/24

x  = 1.07 / slice.

Answer:

B, C, E

Step-by-step explanation:

Tips = $20 × 15%

          $20 × [tex]\frac{15}{100}[/tex]

          $3

Total = $20

Without tips = $17

Things that can buy for $17 are B, C, E

Answer:

PMQ=Acute, QMB=Acute, BMR=Acute, BMR=Acute, AMR=obtuse, PMA=acute.

AMB=straight???????

Answer:

4.5 inches at 4 weeks

Step-by-step explanation:

See attached image for explanation.

The greatest relative frequency is the relative frequency that gives the highest probability

The greatest relative frequency given discrete random variable X, when X∼B(4,110) is  x=3

For a discrete random variable, the smaller the value of the variable, the higher its relative frequency.

This means that:

A variable x = 0 would have a greater relative frequency than a variable x =  n, where n > 0

This means that, the greatest relative frequency given discrete random variable X, when X∼B(4,110) is  x=3

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Answer:

X= 7 units

Step-by-step explanation:

since the triangles are similar the ratio. of their common sides will be equal so,

BE/BD= BC/BA

(4X-8)/18= 45/22.5

4X -8 = 18×2

4X= 36-8

X= 28/4

X= 7

Answer:

X=100 number of individuals who use public transportation

n =140 number of people surveyed

The estimated proportion is given by:

And that represent 71.4%

Step-by-step explanation:

Answer:

Step-by-step explanation:

First find the length of the two equal sides. Use Pythagoras.

c^2 = a^2 + b^2

c = ?

a = 7

b = 1/2 48 = 24

c^2 = 24^2 + 7^2

c^2 = 576 + 49

c^2 = 625                Take the square root of 625

√c^2 = √625

c = 25

Both of the equal sides = 25

Perimeter and answer = 25 + 25 + 48 = 98

Answer: 25 + 25 + 48 = 98

Step-by-step explanation:

Answer:

The area of any rectangular place is or surface is its length multiplied by its width. For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 = 30 square yards. A rectangular bedroom with one wall being 15 feet long and the other being 12 feet long is simply 12 x 15 = 180 square feet.

Step-by-step explanation:

Function f(x), h(x), k(x) and t(x) will have real roots while function g(x) and p(x) will have imaginary roots.

Given quadratic functions are:

[tex]1) f(x)= x^{2} +6x+8\\2)g(x) = x^{2} +4x+8\\3)h(x) = x^{2} -12x+32\\4)k(x)=x^{2} +4x-1\\5)p(x)=5x^{2} +5x+4\\6)t(x) = x^{2} -2x-15[/tex]

The general form of a quadratic equation is:

[tex]ax^{2} +bx+c=0[/tex]

On comparing [tex]x^{2} +6x+8 =0[/tex] with the general form,

a=1, b=6, c=8

If discriminant D=b²-4ac is greater than zero, the quadratic equation will have two distinct real roots, if D is less than zero, roots will be imaginary.

So, discriminant D for f(x)=0 will be:

[tex]b^{2} -4ac[/tex] = [tex]6^{2} -4*1*8 = 4[/tex] i.e. greater than zero.

So, the quadratic function [tex]f(x) = x^{2} +6x+8[/tex] will have two real distinct

roots.

Similarly, h(x), k(x), and t(x) will have real roots since their discriminants are greater than zero.

Thus, Function f(x), h(x), k(x) and t(x) will have real roots while function g(x) and p(x) will have imaginary roots.

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The number of dogs that are not puppies is 17, the number of adult dogs without long hair is 6, the number of puppy dogs with long hair is 8 and the number of puppy dogs without long hair is 7.

To complete the chart it is necessary to determine:

Number of dogs that are not puppies:

Adult dogs without long hair:

Puppy dogs with and without long hair

Total of puppy dogs = 15, this number can be obtained by adding 9+6 or 7+8. From these combinations, the only one that meets the rule "There are 6 more dogs that have long hair than dogs that do not have long hair" is 8 puppies with long hair and 7 puppies without long hair.

Note: This question is not written correctly; here is the correct and complete question.

Samantha gathered the following information on a given day at the dog park.

There are 32 dogs playing at the dog park.

15 of the dogs are puppies.

11 of the dogs are not puppies and have long hair.

There are 6 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha’s data.

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