Lori puts up a sign for her business 500 meters from the main entrance. She once read that it takes the average adult 6 minutes to walk 500 meters. She decides to test this by having 200 adults walk the 500 meters from her sign to her store. Which of the following is the sample in Lori's experiment?​

The distance between the two points is 93.9 units

The formula for calculating the distance between two points is expressed as:

[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Given the coordinate points (0, 0) and (40, 85). The distance between the points is expressed as:

[tex]D=\sqrt{(85-0)^2+(40-0)^2}\\D=\sqrt{7225+1600}\\D=93.9 units[/tex]

Hence the distance between the two points is 93.9 units

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Answer:89.4

Step-by-step explanation:

Answer:

33.15

Step-by-step explanation:

102/2 = 51

65% of 51 = 33.15

Answer:

65% of (102/2) is 33.15

Step-by-step explanation:

I used a calculator and got this answer, it is correct. Have a nice day :)

Answer:

B and E

Step-by-step explanation:

0.5 ÷ 0.25 = 2

A. NO because it's 20

B. Yes

C. NO because it's 0.2

D. NO because it's 1.1 repeating

E. Yes

Answer:

8 i think im not really sure

Step-by-step explanation:

Answer:

8.2

Step-by-step explanation:

Hope this helps....

Answer:

The answer is 8 1 / 2

Step-by-step explanation:

See the Image

Option 1 is easier to understand

Answer:

0D r equals -3y

hope ts helpful

Answer:

  (b)  ∠EGF ≅ ∠BDC

Step-by-step explanation:

Angles D and G are both marked with double arcs, indicating they are congruent:

  ∠EGF ≅ ∠BDC

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Other choices:

BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are not congruent. There is no right angle in these triangles, so the Pythagorean theorem is not applicable.

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CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are not corresponding sides.

Answer:

I don't know I'm sorry soo just try to work it out if u don't know how than ask someone you know okay, ur welcome.

Answer: 35

Step-by-step explanation:

     The average can be found by adding their ages together and dividing by the number of ages.

     Given:

[tex]\frac{19+20+20+21+x}{5}[/tex] = 23

     Multiply both sides of the equation by 5:

19 + 20 + 20 + 21 + x = 115

     Combine like terms:

80 + x = 115

     Subtract 80 from both sides of the equation:

x = 35

                    Erica is 35.

Answer:

Homeowners insurance

Step-by-step explanation:

Homeowners insurance is designed to protect your home from what are called "perils." A peril is your exposure to risk or something that causes loss or destruction. … Homeowners 2 (HO2): This policy protects your property against 18 perils (including 11 perils from Homeowners 1). Typical homeowners insurance policies offer coverage for damage caused by fires, lightning strikes, windstorms and hail. But, it's important to know that not all natural disasters are covered by homeowners insurance. For example, damage caused by earthquakes and floods are not typically covered by homeowners insurance.

Answer:

(x + 8)² + (y - 3)² = 64

Step-by-step explanation:

(x - (-8))² + (y - 3)² = 8²

(x + 8)² + (y - 3)² = 64

Answer:

7.6

Step-by-step explanation:

a^2 + b^2 = c^2

6.5^2 + x^2 = 10^2

42.25 + x^2 = 100

isolate x by subtracting 42.25 on both sides

x^2 = 57.75

square root of 57.75 or 7.6

Answer: the answer is 40.5 cm

Step-by-step explanation:

first your gonna want to look at the numbers given and then solve.

Answer:

exponential

Step-by-step explanation:

there is a multiplier of 8 between each number

Answer:

Area of triangle = 1/2 of base × height

Area of triangle = 1/12 of 12×17

Area of triangle = 102m²

The shape in the figure has 6 sides

The choice that describes the group the shape belongs to is (a) parallel sides, acute angles

From the figure, we have the following highlights

The above highlight mean that:

The shape belongs to parallel sides, acute angles group of shapes

Hence, Angela's conclusion is correct

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Answer:

14 1/13

Step-by-step explanation:

13/4*13/3=169/12=14 1/13

Answer:

d = 3h - 6

Step-by-step explanation:

Given formula:

[tex]h=\dfrac{d}{3}+2[/tex]

Subtract 2 from both sides:

[tex]\implies h-2=\dfrac{d}{3}+2-2[/tex]

[tex]\implies h-2=\dfrac{d}{3}[/tex]

Multiply both sides by 3:

[tex]\implies (h-2) \times 3=\dfrac{d}{3} \times 3[/tex]

[tex]\implies 3(h-2)=d[/tex]

Apply the distributive law  [tex]a(b-c)=ab-ac[/tex]

[tex]\implies 3h-6=d[/tex]

[tex]\implies d=3h-6[/tex]

Answer:

[tex]d=3h-6[/tex]

Step-by-step explanation:

[tex]h=\frac{d}{3}+2[/tex]

[tex]h-2=\frac{d}{3}+2[/tex]

                 -[tex]2[/tex]

[tex]h-2=\frac{d}{3}[/tex]

[tex](h-2)*3=\frac{d}{3}*3[/tex]

[tex]3(h-2)=d[/tex]

[tex]3h-6=d[/tex]

[tex]d=3h-6[/tex]

-{ModPatrol}

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

For an equation in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex]. In this case, the axis of symmetry is the line [tex]x=8[/tex]

The angle of elevation from the tripod to the top of the tree is about 66 degrees

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let Ф represent the angle of elevation. Since the tripod is at a height of 4 feet, hence:

tanФ = (31 - 4) / 12

Ф = 66 degrees

The angle of elevation from the tripod to the top of the tree is about 66 degrees

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Answer:

the answer to that question is 6x squared.

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

12x and 18x3

first, simplify 18x3

12x and 54x

Now, cancel the x, we'll add it on in the end

12 and 54

Factor it!

(2 * 3 * 2) and (2 * 3  * 3 * 3)

2 and 3 remain common, so multiply = 6

Add on x from before.

6x is the answer.

Answer:

please see photo for details

Answer:

The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP

The triangles share one side PS

The figure also states that m∠QPS = m∠RPS

Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.

Answer:

x = 12

Step-by-step explanation:

1. Subtract 9 from both sides:

x/6 = 2

2. Multiply both sides by 6:

x = 12

Answer:

9 + x/6 = 11

Always get rid of the constants first,

-9         -9(we subtract 9 from both sides because the inverse operation of addition is subtraction)

x/6 = 2

Isolate x by multiplying by 6 on both sides (because the inverse operation of division is multiplication)

*6    *6

x = 12

Answer:

Option C .

Step-by-step explanation:

We would like to solve the below quadratic equation ,

[tex]\longrightarrow f(x) = x^2-12x +32 [/tex]

Step 1 : Equate f(x) with 0 :-

[tex]\longrightarrow f(x) = 0\\[/tex]

[tex]\longrightarrow x^2-12x + 32=0[/tex]

Step 2 : Factorise the RHS :-

[tex]\longrightarrow x^2-8x - 4x +32=0\\[/tex]

[tex]\longrightarrow x(x-8)-4(x-8)=0\\[/tex]

[tex]\longrightarrow (x-8)(x-4)=0\\[/tex]

Step 3 : Equate each factor with 0 :-

[tex]\longrightarrow x - 8 = 0\\ \qquad x -4=0 [/tex]

[tex]\longrightarrow x = 8 \qquad x = 4 [/tex]

[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}[/tex]

Hence option C is correct .

Answer:

Below in bold.

Step-by-step explanation:

The ratio of theire areas is  1^2 : 3^2

= 1:9.

So the area of triangle A = 28 * 9

= 252 cm^2.

Answer:

[tex]252cm {}^{2} [/tex]

step by step explanation:

[tex]since \: \: dimension \: of \: traiangle \: a \: = 3 times \: dimension \: of \: triangle \: b \\ note \: that \: area \: is \: square \: of \: dimension \: \\ therefore \: area \: of \: triangle \: a \: = 3 {}^{2} \: area \: of \: triale \: \: b \\ area \: of \: trianle \: a = 9 \times 28 = 252cm {}^{2} [/tex]

the answer is

x^{2}-31x+5b