A plane is flying at an altitude of 6 km directly over the line AB. It spots two boats, A and B, on the sea.
If the angles of depression of A and B from the plane are 60° and 30° respectively, calculate the
horizontal distance between A and B.
B
6 km
6km

let Length=l

therefore breadth=l-2

A/Q

P=24

2(l+b)=24

2(l+l-2)=24

2(2l-2)=24

4l-4=24

4l=28

l=28/4

=7

Step-by-step explanation:

First, this is how I read it.

[tex]\log(x^{125})=-3[/tex]

Next, this is how logarithms work:

[tex]b^y=x\implies \log_b(x)=y[/tex]

In your equation, we have all 3 numbers:

With that information, you can convert the logarithm into "normal" form:

[tex]10^{-3}=x^{123}[/tex]

The negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] is also useful here.

Now, just solve for x:

[tex]x^{125}=\frac{1}{10^3}\\x^{125}=\frac{1}{1000}\\x=\sqrt[125]{\frac{1}{1000}}\\x=\frac{1}{\sqrt[125]{1000} }[/tex]

That's about as simplified as it gets, unless you want this:

[tex]x=\frac{1}{10^{\frac{3}{125}}}[/tex]

Thats 10^(3/125), numbers got very small.

I'm still not confident I understood the problem correctly, so let me know if I need to fix anything.

Answer:

Step-by-step explanation:

m is only raised to the 3rd power. The 8 effects only the n

Numerator

m^3

(n^8 )^3 = n ^24

denominator

(n^9)^3 = n^27

Answer: m^3 * n^24 / n^27 = m^3 / n^(27 - 24) = (m/n )3

Hi!

Given:

[tex](\cfrac{mn^8}{n^9} )^3[/tex]

First, let's do what is inside the parenthesis. Since we're dividing, we subtract unlike exponents, and if there are any negatives, we switch them to make them positive:

[tex]8-9=-1[/tex]

Switch since it's negative:

[tex]\frac{m}{n} ^3[/tex]

Answer:

32.82

Step-by-step explanation:

Answer:

32.82 OUNCES

Step-by-step explanation:

It is really easy.

All you have to do is 5.47x6

Answer:

2vx

20ce

30a^2

30xw^2

42m^3n^2

24a^2c^2x^3

7n

8x

6wx

3ac^2

6wx^2

6a^2c

instead of writing ^2/^3 (which means to the power of 2/3), use symbol input which it tells you in the question

Answer:

6 years

Step-by-step explanation:

5% of 1000 is 50

1. $1050

2. $1100

3. $1150

4. $1200

5. $1250

6. $1300

Answer:

35

Step-by-step explanation:

1. To evaluate 1/5 of 175, we must multiply 1/5 by 175.

Therefore, the answer is 35.

Answer:

2038 that's a answer po because hindi kasali ang 10

The exponent is represented as [tex]A=2*10^{4}[/tex] where the resulting quotient has 10 raised to the power of 4.

Given data:

To perform the given division of  [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex] , we can use the properties of exponents and arithmetic operations.

When dividing numbers with the same base (in this case, 10), we subtract the exponent in the denominator from the exponent in the numerator:

So, the exponent is represented as A.

The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.

Now, the value of  [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex].

Now, simplify the exponent expression:

[tex]A=\frac{4*10^{2+2}}{2}[/tex]

[tex]A=2*10^{4}[/tex]

Hence, the exponential form is [tex]A=2*10^{4}[/tex].

To learn more about exponential form, refer:

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Answer:

I think the answer to your question is 2%

The length of the rectangular field is 164 yards and the width is 41 yards

From the question,

We are to determine the fields dimensions

From the given information

A rectangular field is four times as long as it is wide

That is

l = 4w -------- (1)

The perimeter of a rectangle is given by

P = 2(l + w)

Where

P is the perimeter

l is the length

and w is the width

From the given information

The perimeter of the field is 410 yards

∴ 2(l + w) = 410 ------ (2)

Substitute equation (1) into equation (2)

2(4w + w) = 410

2(5w) = 410

10w = 410

∴  w = 410 ÷ 10

w = 41 yards

Substitute the value of w into equation (1)

l = 4(41)

l = 164 yards

Hence, the length of the rectangular field is 164 yards and the width is 41 yards.

Learn more here:  https://brainly.com/question/4958695

Answer:

Nice

Step-by-step explanation:

Answer:

I think its

B) CG

I hope its right

Answer:

C

Step-by-step explanation:

I hope you have your answer now

Answer:

The top is the inches and the bottom is the cm.

Step-by-step explanation:

I might not be correct but I hope this works

Answer:   y = 2x, D.

Step-by-step explanation:  We can calculate the slope of the line between these two points:  Rise/Run:

Rise: (10-0)=10

Run:  (5-0) = 5

Rise/Run = 10/5 = 2

The y-intercept is zero (it is the value of y when x=0, which we are given as (0,0)).

The line between these two points is thus y=2x+0, or

y = 2x.  Looks like D.

Answer:

D. y=2x

Step-by-step explanation:

0x2=0 and 5x2=10. That's really it, simple math

=======================================================

Explanation:

Use long division or your calculator to find that 1/40 = 0.025

Add on 3 to get 3 & 1/40 = 3 + 1/40 = 3 + 0.025 = 3.025 which is choice B

For some reason, your teacher has decided to add on a string of 0's onto this to form [tex]3.025\overline{0}[/tex] that horizontal line over the '0' means the 0's go on forever. So, [tex]3.025 = 3.025\overline{0} = 3.025000000...[/tex], but we can always chop off the trailing zeros to make life simpler. I'm not sure why your teacher has decided to use this fairly strange format.

The decimal value is equivalent to 3.025.

We have the following fraction -

3 [tex]\frac{1}{40\\}[/tex]

We can write the mixed fraction as -

3 [tex]\frac{1}{40\\}[/tex]

(40 x 3 + 1)/40

121/40

3.025

Therefore, the decimal value is equivalent to 3.025.

To solve more questions on functions, expressions and equation modelling, visit the link below -

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Step-by-step explanation:

Formulas and Formats we'll be using:

Slope Formula: [tex]m=\frac{y2}{x2} -\frac{y1}{x1}[/tex]

Slope-Intercept form: [tex]y=mx+b[/tex]

m = slope

b = y-intercept

Substitute (-6, 10) and (-3, -2) into the slope formula:

[tex]m=\frac{-2}{-3} -\frac{10}{-6}[/tex]

Simplify:

[tex]m=\frac{-12 \div 3}{3 \div 3}=\frac{-4}{1}[/tex]

[tex]m=-4[/tex]

*Per every -4 y, x increases by 1.

Points Included:

(-6, 10)

(-5, 6)

(-4, 2)

(-3, -2)

(-2, -6)

(-1, -10)

(0, -14)

Y-intercept:

Y-intercept represents x when it's equal to 0.

Using our points, we can determine that the y-intercept is at the point:

(0, -14)

-14 is the y-intercept.

Create a Slope-intercept form equation:

Formula: [tex]y = mx + b[/tex]

Substitute the slope, and y-intercept into the equation:

[tex]y=-4x-14[/tex]

Your equation is: [tex]y=-4x-14[/tex]

Answer:

E is (5, 1)

Step-by-step explanation:

Let E be the point (x, y).

(-3 - x)^2 + ( 7 - y)^2 = 10^2   ( Pythagoras theorem)

Now 64^2 + 36^2 = 10^2 so we try:

(-3 - 5)^2 + ( 7- 1)^2 = 100

Giving x = 5 and y = 1 which looks right from the diagram.

Answer:

-4.5, -0.5, 0.3, 0.7, 2.3

Step-by-step explanation:

The higher the negative number the lower it really is.

Answer:

-4.5, -.5, .3, .7,2.3

Step-by-step explanation:

Answer:

Y=5

Step-by-step explanation:

answer:

3x = y

step-by-step explanation:

૪・ i am inferring you have to create an equation?

・jenny have three times = 3x

・as her fav toys — 3x = y

・new toys = y

・fav toys = x

Answer: D.25

Step-by-step explanation:

Since they gave you P(10) You'll have to substitue 10 wherever you see the variable 10.

2(10)+5

 2(10)=20

20+5+25

Answer:

25

Step-by-step explanation:

Since they're asking you to find the value of p(10) when t is 10, you would substitute t out for 10 in the function and then solve.

p(10)=2(10)+5

p(10)=20+5

p(10)=25

Answer:

-2x^2-2x-2

Step-by-step explanation:

C) -2x(x+2)-(3-2x)(x+2)

-2x^2-3x+2x-x-2

-2x^2-2x-2

Answer:

−3x−6

Step-by-step explanation:

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

= -2[tex]x^{2}[/tex]-4x-3(x+2)+2x(x+2)

= -2[tex]x^{2}[/tex]-4x-3x-6+2[tex]x^{2}[/tex]+4x

= -3x-6

Hopefully this helps!!

Answer:

These should be the answers you are looking for.

A: 62

B: 8.9

C: 2.8

This should be correct, but please tell me if it isnt.

Explanation:

The simplest way to figure this out is by counting how many marks there are on the number line. If the numbers are betweeen 1 and 2 on a number line for example, youll want to use decimals.

Example of a problem:

I--I--I--I--I--I--I--I--I--I--I

1               ^              2

Count the markings like this: 1.1, 1.2, 1.3, 1.4, 1.5 .

the furthest you can go with a decimal until you get a full number is 0.9.

If you are solving a question with full numbers (example: 20 through 30), you would count normally.

I--I--I--I--I--I--I--I--I--I--I

20           ^              30

The answer would be 25 for this one.

I hope this helps you out in the future.

Math definetly sucks, especially common core. I feel you.

Step-by-step explanation:

a_2=2a_4+2

a=_2+4_2

a=0