Fill in the blank. Given O below, you can conclude that so is congruent to

A. WA

B. WR

C. 0O

D. AO

Answer:

160

Step-by-step explanation:

x represents the years since 1990, so at 2030, x =  2030 - 1990 = 40. Replacing this value into the quadratic regression equation, we get:

y = -0.107(40)^2 + 9.008(40) - 28.851 = 160

which is the predicted number of cellular subscriptions per 100 people in Australia in 2030

Answer:

4x^2 -5x + 1 - 2x^2 - 9x + 6

2x^2 - 14x + 7

Step-by-step explanation:

Answer:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

Step-by-step explanation:

A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees

Using SohCahToa, to calculate the height

Tan 54 = height/2000

Height = 2000 tan54 = 2752.8 feet

B.) Given that the base of the mountain is 2600 feet wide.

Let use pythagorean theorem to find the slant length

Adjacent = 2600/2 = 1300 feet

Slant length = root ( 1300^2 + 2752.8^2)

Slant length = 3044.3 feet

The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be

3044.3 + 2000 = 5044.3 feet

C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet

Using pythagorean theorem again

Tan 24 = 2752.8/distance

Distance = 2752.8/tan24

Distance = 6182.9 feet

The height of the mountain for the following conditions are as follows:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54⁰

To calculate the height

Tan 54⁰ = height/2000

Height = 2000 X tan54⁰ = 2752.8 feet

B.) Given that the base of the mountain is 2600 feet wide.

Let use pythagorean theorem to find the slant length

Adjacent = 2600/2 = 1300 feet

Slant length = √ ( 1300^2 + 2752.8^2)

Slant length = 3044.3 feet

The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be

3044.3 + 2000 = 5044.3 feet

C.) Given that the angle of depression is 24⁰ while the height is 2752.8 feet

Using Pythagorean theorem again

Tan 24⁰ = 2752.8/distance

Distance = 2752.8/tan24⁰

Distance = 6182.9 feet

Thus, the height of the mountain for the following conditions are as follows:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

Learn more about Angle of Elevation from:

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#SPJ5

Answer: 593775

Step-by-step explanation: 30C6 =30x29x28x27x26x25 / 6x5x4x3x2x1 =593775

Answer:

44.5

Step-by-step explanation:

(1 x 12) + (5 x 13)/2 = 44.5

Answer: 44,5 cm2

Step-by-step explanation:

Rektangel:

1 × 12 = 12 cm2

triangel:

13 × 5 = 65 cm2

78 ÷ 2 = 32,5 cm2

Area:

32,5 + 12 = 44,5 cm2

Answer:

Total amount to be paid on 13th day is $40.96.

Step-by-step explanation:

Mr. Morris pays Rob $0.01, $0.02, $0.04 ..... on 1st, 2nd , 3rd .... day respectively.

We can clearly see that the next number is becoming double of the previous value.

The above sequence of numbers are in a Geometric Progression with  

First term, a = 0.01 and

Common ratio, r = 2

We have to find the total amount paid on 13th day.

We know that the [tex]n^{th}[/tex] term of a GP is given by:

[tex]a_{n} =ar^{n-1}[/tex]

Where, a is the first term of GP

r is the common ratio

We have to find the [tex]13^{th}[/tex] term of the GP as per question statement.

Putting the values in the formula above:

n = 13

a = 0.01 and

r = 2  

[tex]a_{13} = 0.01 \times 2^{13-1}\\\Rightarrow 0.01 \times 2^{12} \\\Rightarrow 0.01 \times 4096\\\Rightarrow 40.96[/tex]

Total amount to be paid on 13th day is $40.96.

Answer:

Step-by-step explanation:

volume = height * are of the trapezoidal =  9 * (7+11)*4.5 / 2 = 364.5 m3

Answer:

364.5 m³

Step-by-step explanation:

Volume = base area × height

Base area: ½(7+11)×4.5

9×4.5

40.5 m²

Volume: 40.5 × 9

364.5 m³

Answer:

x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184

x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184

Step-by-step explanation:

3x2-x+7=0  

Two solutions were found :

x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184i

x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184i

Answer:

A) Predicted value: 13.1   Residual: 0.9

Step-by-step explanation:

By definition:

residual = observed - predicted

The linear model is:

f(x) = 1.3x + 9.2

where f(x) is the height and x is the age of the tree.

Replacing with x = 3:

f(x) = 1.3(3) + 9.2 = 13.1 ft

which is the predicted value. The observed value is 14 ft, then:

residual = 14 - 13.1 = 0.9 ft

Answer:

I think it would be 65 degrees

Step-by-step explanation:

If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.

Answer:

omg really;O

Step-by-step explanation:

Answer:

Step-by-step explanation:

a - 2.5 = 4.5

     2.5 = 2.5

a = 7.0 or 7

7.0 - 2.5 = 4.5

4.5 = 4.5

Answer:

Lori weight in ounces is 120

Step-by-step explanation:

(7 x 16)+ (1/2 x 16) = 120

Answer:

Its the second one

Step-by-step explanation:

Answer:

-13c4 - c3 - 15c2 - 12

 ——————————————————————

           c2        

Answer:

Step-by-step explanation:

Total= 100 Ft

Width= 20

Length=?

Total - Width = Length

100 - 20 =

80 Length Of the Garden

Answer:

30 mm 2

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

.8x = 160

Answer:

x=7

Step-by-step explanation:

7+2 = 9. 9*15 = 135 degrees

Answer:

5 StartRoot 2 EndRoot ft its B

Step-by-step explanation:

The height of the roof is 5 StartRoot 2 EndRoot ft

Since the triangle is isosceles, hence the base angles will be 45 degrees

Using the SOH CAH TOA identity;

Given

Substitute

Cos 45 = h/10

h = 10cos45

h = 10 * 1/√2

h = 5√2

Hence the height of the roof is 5 StartRoot 2 EndRoot ft

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Answer: up, left, down, right

Step-by-step explanation:

because

Answer:

68°

Step-by-step explanation:

Complementary = 90 - 22

Answer:

[tex] T = \frac{1}{f}[/tex]

And replacing we got:

[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]

And then we can conclude that with the conditions given the period of the string would be 0.0290 s

Step-by-step explanation:

For this case we know the frequency associated to the 4 harmonic.

We know that by definition the frequency is the inverse of the period:

[tex] f= \frac{1}{T}[/tex]

If we solve for the period we got:

[tex] T = \frac{1}{f}[/tex]

And replacing we got:

[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]

And then we can conclude that with the conditions given the period of the string would be 0.0290 s

Step-by-step explanation:

[tex]arc \: length \: = \frac{theta}{360} \times 2\pi \: r \\ here \: theta \: = 105 \: degrees \: \: \: \: and \\ radius \: = 6 \: cm \\ on \: substituting \: the \: values \: in \: formula \\ = \frac{105}{360} \times 2\pi \: \times 6 \\ = \frac{105}{360} \times 12\pi \\ = \frac{105}{30} \times \pi \\ = 3.5 \times \pi \\ = 3.5 \times 3.14 \\ = 10.99 \\ arc \: length \: = 11.0 \: \: (approximately)[/tex]

Answer:

9 and 12,

Step-by-step explanation:

Answer:

nine and twelve (A)

Step-by-step explanation:

The Least Common Multiple of six and fifteen is thirty and the LCM of eight and eighteen is 72, this leaves only A which is correct.

Answer:

42

Step-by-step explanation:

12+(5(12))/3

42

Answer:

42

Step-by-step explanation:

[tex]A = \frac{a+b}{2} h[/tex]

[tex]A = \frac{1+6}{2} 12[/tex]

[tex]A = \frac{7}{2}12[/tex]

[tex]A=7*6[/tex]

[tex]A = 42[/tex]

Answer:

The answer is 96

Step-by-step explanation:

4 oz = 0.25 lb so 0.25*24 = 96

Answer:

12960

Step-by-step explanation:

12,000 × .08 = 960

12,000 + 960 = 12,960