What is the square root of -1?

9514 1404 393

Answer:

  (a) 38.3 m horizontal distance

  (b) 82.1 m high

Step-by-step explanation:

I like a graphical solution to this problem (attached).

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If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.

  tan(65°) = t/h

  tan(40°) = (t -50)/h

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Multiplying both equations by h and substituting for t, we have ...

  h·tan(40°) = h·tan(65°) -50

  h = 50/(tan(65°) -tan(40°)) . . . . solve for h

  h ≈ 38.3022

Then the tower height is ...

  t = h·tan(65°) ≈ 82.1394

The tower is about 38.3 m distant and 82.1 m high.

Answer:

If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.

Answer:

A rectangle

Step-by-step explanation:

A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid.  In this case, a rectangle.

Answer:

mean is 3, 6

Step-by-step explanation:

lol

Answer:

32/3 cubic

Step-by-step explanation:

D.32/3

32/3=32:2= D.8 units

Answer:

FV= $2,407.53

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 1,300

Interest rate (i)= 4.5% = 0.045

Number of periods (n)= 14 years

To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 1,300*(1.045^14)

FV= $2,407.53

ANSWER: the amount an individual earns after subtracting all expenses, taxes and costs.

Answer:

Step-by-step explanation:

8x^3 - 12x^2 - 2x + 3

4x^2(2x - 3) - 1( 2x - 3)

(4x^2 - 1)(2x - 3)

(2x - 1)(2x + 1)(2x - 3)

Answer:

[tex](2x - 1)(2x + 1)(2x - 3) \\ [/tex]

Step-by-step explanation:

[tex]8 {x}^{3} - 12 {x}^{2} - 2x + 3 \\ 4 {x}^{2} (2x - 3) - 1(2x - 3) \\ (4 {x}^{2} - 1)(2x - 3) \\ ( {2}^{2} {x}^{2} - {1}^{2} )(2x - 3) \\ (2x - 1)(2x + 1)(2x - 3)[/tex]

hope this helps you

can I have the brainliest please?

14x + 8 = 22. Okay, so first you want to subtract 8 from itself and 22. Once you did that you should get 14x = 14. Now, you need to divide 14 from both sides. 14/14 = 1. Meaning that x = 1. To check your answer, replace the x values with 1 and solve. 14 X 1 + 8 does equal 22.

its 1

Answer: This means that the population increased a 20% between the year 2000 and the year 2010.

Step-by-step explanation:

In this case, we have that 25,000 is the 100%.

Now we want to know which percentage represents 30,000

Let's suppose that the percentage is X.

Then we can have a system of equations:

30,000 = X

25,000 = 100%

To find the value of X, we can take the quotient of these two equations:

30,000/25,000 = X/100%

(30,00/25,000)*100% = X = 120%

Then in the 2000 we had a 100%, and in the 2010 there was a 120%.

The difference is:

120% - 100% = 20%

This means that the population increased a 20% between the year 2000 and the year 2010.

Answer:

3.75 cm³

Step-by-step explanation:

Each cube has equal sides of 1/2 cm

Length of the rectangular prism = 1/2 cm * 5

= 2.5 cm

Width of the rectangular prism = 1/2 cm * 2

= 1 cm

Height of the rectangular prism = 1/2 cm × 3

= 1.5 cm

Volume of the rectangular prism = length × width × height

= 2.5 cm * 1 cm * 1.5 cm

= 3.75 cm³

Volume of the rectangular prism = 3.75 cm³

Answer:

V = 4 1/2 x 1 1/2 x 6 = 40 1/2 ft³

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the gradient is a value that indicates how much the x value increases as the y value increases. It can be written as

rise/run

or

change in  y value/change in x value

or

(y1-y2)/(x1-x2), where we know two coordinates (x1,y1) and (x2,y2).

We have two coordinates (0,0) and (3,3)

Therefore,

x1 = 0, y1 = 0

x2 = 3, y2 = 3

If we plug these values into the formula, it is [tex]\frac{3-0}{3-0} = \frac{3}{3} = 1[/tex]

Answer:37 1/2

Step-by-step explanation:

You need to undo the volume and then find the surface area. you need to find the thing before the volume byy eversing S^3 then you do the foumla to get 37 1/2

Answer:

4) 6(x+3y)

5) 3b(a+c)

6) 6a(x−2y)

7) 6a(a−2)

8) 7x(x−4)

9) 5x(3x+5y)

Step-by-step explanation:

6x+18y

you find what goes into that number

for example 6 goes into 18, 3 times

so you can keep the 6

next you put the x and plus stays the same

as we said before 6 goes into 18, 3 times so we put the 3 and y next

so this is the equation

6(x+3y)

6 times x = 6x

6 times 3 = 18

y and plus stay the same

brackets shows that your timesing the numbers

i hope this makes sence tried my best not to waffle :)

Answer:

Its 7.333333333333333333  (3 forever)

First you isolate y onto one side of the equation

y/9= 44/54  -->  y = 9 x 44/54

Multiply the right side of the equation

9 x 44/54 = 396/54

Now divide to get the whole answer

396/54 = 7.3333333333 (3 forever)

y = 7.333333

Answer:

12/13

Step-by-step explanation:

Pythagorean theorem to find the leg opposite from the angle, x^2+5^2=13^2

x^2+25=169

x^2=144

x=12

sin(x)=12/13

Answer:

1 non linear

2 linear

3 no association

4 linear

5 non linear

6 no association

I will answer any questions you have

Answer:

linear: Bottom left, and middle top

nonlinear: Bottom middle, top left

no association: top right, bottom right.

Step-by-step explanation:

Linear is like a line it stays close together like a line of ants

nonlinear is curves- like a snake

no association is spread out, like a paint splatter

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{6} \\ y = 6 \times \sin(30) = 3[/tex]

Answer:

x = 11, -1

Step-by-step explanation:

First, let's identify what the quadratic formula is:

x = [-b ± √(b² - 4(a)(c))] / 2

Our equation is written in standard form:

ax² + bx + c = 0

x² - 10x - 11 = 0

Let's plug in what we know.

x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2

Evaluate the exponent.

x = [-(-10) ± √(100 - 4(1)(-11))] / 2

Simplify the negatives.

x = [10 ± √(100 - 4(1)(-11))] / 2

Multiply.

x = [10 ± √(100 + 44)] / 2

Simplify the parentheses.

x = [10 ± √(144)] / 2

Simplify the radical (√)

x = [10 ± 12] / 2

Evaluate the ±.

x = [10 + 12] / 2

x = [22] / 2

x = 11

or

x = [10 - 12] / 2

x = [-2] / 2

x = -1

Your answers are x = 11, -1

Hope this helps!

Answer:

400 grams

Step-by-step explanation:

If the equation is density = mass / volume, fill it out to find mass

10 = x / 40

400 = x

x = 400 g

Answer:

Subtract 6

Step-by-step explanation:

The answer is subtract six because you subtract six every time in the pattern.

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

(2p^3 · 2p)^2  We are gonna be simplifying

(4p^4)^2

Step 2

(4p^4)(4p^4)

16p^8

So therefore your answer would be 16p^8

Hope this helps

Answer:

4) A) cuttings

5) B) pollinated

9) C) heredity

Step-by-step explanation:

Answer:

1) A.

2) B.

3) C.

I hope this helps.

Please mark me the Brainliest!

Answer:

i will not give you the answer but I will tell you how to does it stop cheating because it will get you no where in life. If you ever get a job in the future because you got straight a's from CHEATING and they tell you to do somthing,  YOU'RE  NOT GONNA BE ABLE TO DO IT. please and thank YOU

Step-by-step explanation:

Add all the numbers and divided by 3

Answer:

Step-by-step explanation:

By the condition,

25° + 105° + x = 180° [Angle sum property of triangle]

=> 130 + x = 180

=> x = 180 - 130

=> x = 50° (Ans)

Answer:

There are 245 expected defective chips in the batch

Step-by-step explanation:

From the question, we have that in a batch of computer chips, it is expected that a third is defective

Now, in this present batch, there are 735 chips

The number of defective chips is a third of this

Thus, we have the number of defective chips as;

1/3 * 735 = 245 chips

Answer:

2 miles

Step-by-step explanation:

Given that :

Distance from home to store and back = 1/2 mile

In a week :

Number of times he walked from home to store and back = 1 time

Number of times she rode to store and back = 3 time

Note distance does not change whether she rode or walked:

Hence,

miles walked = 1/2 miles * 1 = 1/2 miles

Miles biked = 1/2 miles * 3 = 3/2 miles

Total Number of miles :

(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles