4. What is the value of .r in the figure shown
below?
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Answer:

hope this helps you out ask me if you need more help

Answer: 6

Step-by-step explanation:

The area of the triangle EDF is 6 in².

Two triangles are said to be similar if their corresponding angles are congruent, and their corresponding sides are in equal ratios.

Given that, two triangles are similar, ABC and EDF,

We know that, the area of two similar triangles implies that if two triangles are similar to each other, the ratio of their areas will be proportional to the square of their corresponding side ratios.

Therefore,

ar(ΔABC)/ar(ΔEDF) = (2/4)²

24/ar(ΔEDF) = 1/4

ar(ΔEDF) = 6

Hence, the area of the triangle EDF is 6 in².

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Answer:

Negative consumption externalities. When certain goods are consumed, such as demerit goods, negative effects can arise on third parties. Common example include cigarette smoking, which can create passive smoking, drinking excessive alcohol, which can spoil a night out for others, and noise pollution.

Answer:

nickel and a quarter

Step-by-step explanation:

One is a nickel, the other is NOT a nickel... it is a quarter.

Answer:

240

Step-by-step explanation:

360 minus 120 degree give 240 degree

Answer: 60

Step-by-step explanation:

120/2= 60

Answer:

[tex]\sum\limits_{i=1}^{n} c \cdot a_i \ is \ equal \ to \ c = \ c \cdot \sum\limits_{i=1}^{n} a_i[/tex]

[tex]\sum\limits_{i=1}^{n} i \ is \ equal \ to \ b = \dfrac{n \cdot (n + 1)}{2}[/tex]

[tex]\sum\limits_{i=1}^{n} c \ is \ equal \ to \ d = c \cdot n[/tex]

[tex]\sum\limits_{i=1}^{n} i^3 \ is \ equal \ to \ e = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2[/tex]

[tex]\sum\limits_{i=1}^{n} i^2 \ is \ equal \ to \ a = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6}[/tex]

Step-by-step explanation:

1) The sum of a series of the cubes of numbers 'i' is given as follows;

Sₙ = n/2 × (1st term + Last term)

∴ Sₙ = n/2 × (1 + n) = n·(n + 1)/2

It can be shown that the sum of a series of the cubes of numbers 'i²' is given as follows;

Sₙ = (n·(n + 1)·(2·n + 1))/6

It can be also be shown that the sum of a series of the cubes of numbers 'i³' is given as follows;

Sₙ = (n·(n + 1)/2)²

Therefore, we have;

[tex]\sum\limits_{i=1}^{n} c \cdot a_i= c \cdot \sum\limits_{i=1}^{n} a_i = c[/tex]

[tex]\sum\limits_{i=1}^{n} i = \dfrac{n \cdot (n + 1)}{2} = b[/tex]

[tex]\sum\limits_{i=1}^{n} c = c \cdot n = d[/tex]

[tex]\sum\limits_{i=1}^{n} i^3 = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2 = e[/tex]

[tex]\sum\limits_{i=1}^{n} i^2 = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6} = a[/tex].

Answer:

c, b, d, e, a

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Answer: 0.1

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The correct option is A.

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is that a graph,

So, from the graph we can concluded that it is an exponential and positive function,

Therefore, as x increases y also increases.

We know that the exponential function is given by =

y = abˣ

So, when x = 0, y = 100,

100 = a × b⁰

a = 100

When x = 4, y = 150,

150 = 100 × b⁴

b⁴ = 1.5

b = 1.11

y = 100(1.11)ˣ

Change = 110-100 / 100 × 100% = 10%

Therefore, we can say the value of a $100 stock grows in value by 10% each year.

Hence the correct option is A.

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Answer:

The correct angle is 45.3°

Step-by-step explanation:

Since the opposite side of the angle is 32 feet, and the hypotenuse of the right triangle is 45 feet, you would know that the sine of x° is equivalent to [tex]\frac{32}{45}[/tex]. To find the value of x, take the arcsin of both sides and you'll get that [tex]x = arcsin(\frac{32}{45})[/tex] ⇒ [tex]x[/tex] ≈ 45.3°.

Answer:

100/x+6=20/x-6

100x-600=20x+120

80x=720

x=9 miles an hour as the rowing teams' rate in still water

Answer:

Step-by-step explanation:

The answer would be (G)

The value of w is greater than -4 which will best represent the inequality 3.3w - 9 > -22.27 on number line.

Number lines are simple, visual pictures of how the values of numbers increase and decrease.

Given an inequality 3.3w - 9 > -22.27

On solving, we get,

3.3w - 9 > -22.27

3.3w > -22.27 + 9

3.3w > -13.27

w > -4

Hence, the value of w is greater than -4 which will best represent the inequality 3.3w - 9 > -22.27 on number line.

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Answer:

1.False

2. True

3.) True

4. False

5.) False

6.) True

Step-by-step explanation:

1.)

Range = maximum - minimum

New year's eve :

Maximum = 22 ; minimum = 3

Range = 22 - 3 = 19

2.)

Median for Thanksgiving = 17

50% up to 17 ;hence the remaining 50% is also 17 and above

4.)

IQR for Thanksgiving

Q3 - Q1

23 - 12 = 11

5.)

The median number of people at new year's eve for dinner was 7 (line in between the box)

6.)

3/4th of new year eve's dinner = Q3 = 15

1/4 = Q1 ; have up to 5 people

Therefore ; the remaining (1 - 1/4) = 3/4 have 5 and above

Answer:

1.False

2. True

3.) True

4. False

5.) False

6.) True

Step-by-step explanation:

Answer:

A, C, and D

Step-by-step explanation:

Answer:

i think the answer to this question is 2.461

Step-by-step explanation:

For a semicircle, the total perimeter includes half of the circumference + the diameter.

The half circumference is given by 2 pi r / 2

So the perimeter of 19.02 = 2pi r/ 2 + 2r

Answer:

i got 616 for the answer good luck!!

Step-by-step explanation:

Answer:

B.) 205.3³

Step-by-step explanation:

                          Volume = (length·width·height) divided by 3

                                                            ⬇

                                                    V = (lwh)/3

                                                            ⬇

                                        V = (11·7·8)/3 ≈ 205.33333

                                                            ⬇

                                                        205.3³

Answer:

I.  most probably

Hope it helps!!!

Step-by-step explanation:

Answer:

Reduced fee for each additional round will be $5.

Step-by-step explanation:

Let the reduced fee for each additional round played = $x

Charges for one round = $13

If Tom played for 6 rounds, total charges for the 6 rounds = 13 + 6x

Since, Tom paid $43 for 6 rounds,

13 + 6x = 43

6x = 43 - 13

6x = 30

x = 5

Therefore, reduced fee for each round will be $5.

Answer:

AED 18.85

Step-by-step explanation:

Given that:

Radius, r = 1cm

Length = height, h = 12

Cost per cm³ = AED0.50

VOLUME OF CYLINDER = pi * r² * h

Volume = 3.14 * 1² * 12

Volume = 37.699 cm³

Cost per cm³ = AED 0.5

TOTAL COST :

AED 0.5 * 37.699

= AED 18.849

= AED 18.85

Answer:

Step-by-step explanation:

they want you to recognize that it's a linear relationship

Answer:

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

Step-by-step explanation:

Step(i):-

Given that the mean of the Normal distribution = 4.1mm

Given that the standard deviation of the Normal distribution = 0.0075mm

Let 'X' be the random variable in a normal distribution

Given that X₁ = 3.9mm

[tex]Z_{1} = \frac{X_{1} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666[/tex]

Given that X₂ = 4.3mm

[tex]Z_{2} = \frac{X_{2} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666[/tex]

Step(ii):-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)

                     = P(Z≤2.666)-P(Z≤-2.666)

                    = 0.5 +A(2.666) - (0.5-A(2.666)

                   = 2 × A(2.666)

                 = 2×0.4961

                 = 0.9922

Final answer:-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

Answer:

8

Step-by-step explanation:

2*1*4=8

Answer:

Step-by-step explanation:

it's like this Loving ,    62.90 / 330 = 0.1906...

so she paying about 19 cents per mile  :)

Answer:

6-   D

4-   A

3-   A

Step-by-step explanation:

Answer:

6. = D

4. = A

Step-by-step explanation:

6. 2(2.5)= 5

4(2.5)= 10

6(2.5) =15

9(2.5) is not 21 its 22.5

4. 125÷5 = 25

Answer:

1243.4 [tex]cm^{3}[/tex]

Step-by-step explanation:

Answer:

98 ft²

Step-by-step explanation:

Answer:

98 ft²

Step-by-step explanation:

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