Simplify: (1 + 3i) + (7 - 2i)

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:

Makayla has 2 and a half minutes to answer each question.

Step-by-step explanation:

To get two and half you will have to divide 90 from 36 then you get 2 and a half minutes. hope this helps =D

By  using division as mathematical operation,

Makayla need 2 and half minutes to answer each question

"The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in mathematics."

We have

Number of minutes to answer 36 questions = 90

We have to divide 90 by 36

= [tex]\frac{90}{36}[/tex]

= 2.5 minutes

Hence, By  using division as mathematical operation, Makayla need

2 and half minutes to answer each question.

Learn more about division here

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Answer:

dependent. 2/8=1/4

Step-by-step explanation:

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: 593775

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

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:

Step-by-step explanation:

Total= 100 Ft

Width= 20

Length=?

Total - Width = Length

100 - 20 =

80 Length Of the Garden

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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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:

x=7

Step-by-step explanation:

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

Answer:

You could subtract 910 from 60 which would give you 850 and that would be your answer.

Step-by-step explanation:

Answer: $850

Step-by-step explanation: take 910 - 60

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:

12960

Step-by-step explanation:

12,000 × .08 = 960

12,000 + 960 = 12,960

Answer:

200

Step-by-step explanation:

.8x = 160

Answer:

-13c4 - c3 - 15c2 - 12

 ——————————————————————

           c2        

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

Answer:

Lori weight in ounces is 120

Step-by-step explanation:

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

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

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:

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:

68°

Step-by-step explanation:

Complementary = 90 - 22

Answer:

c

Step-by-step explanation:

subtract b from both sides

divide by x

Answer:

30 mm 2

Step-by-step explanation:

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:

omg really;O

Step-by-step explanation:

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:

The answer is 96

Step-by-step explanation:

4 oz = 0.25 lb so 0.25*24 = 96