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

2 + 6 + 18 + 54 + ...

 This is a geometric sum and there is a way to find the sum of however many terms as you would like.

 The initial term is S1 = 2, the ratio of successive terms is r = 3.

 The sum for a geometric sequence of the first n terms is given by

 Sn = S1(1 - rn)/(1 - r)

Apply this formula for n = 10.

The number which represents the gain as per the question is +12. Hence, option "d" is correct.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information given in the question,

Firstly, the team returned the ball to the 30-yard line.

Then, hey ran to the 42-yard line for a gain.

Then, the number that shows the change will be,

= 42 - 30

= +12, there is gain of +12.

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for the small one there would be six small helicopters and two big ones

and the total weight would be 11 for the two containers like one container of large helicopters and one container of small helicopters

if it's wrong i'm very sorry i'm bad at word problems

Answer:

not sure

Step-by-step explanation:

Answer:

x= 7

3

Step-by-step explanation:

find x by making the subject of formula

Answer:

x = 11

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.

In an isosceles triangle there is a base and two equal legs

Perimeter = (x)  + (5x - 5) = (5x - 5)

            111 = 11x -10

           111 + 10 = 11x

            121 = 11x

            [tex]\frac{121}{11} =\frac{11x}{11}[/tex]

               x = 11

Answer:

x=104

Step-by-step explanation:

In case you didn't know, "m || n" means that line "m" is parallel to line "n".

Line "t" crosses over lines "m" and "n". Since "m" and "n" are parallel, the angles of Line "t" are the same on either line. The angle measuring 104° is what's known as an exterior angle. In the image shown, B and G have the same measurement and so does A and H. Therefore, Angle "x" measure 104°.

Answer:

345

Step-by-step explanation:

On adding 60 to 325 and then subtracting 40 the answer will be 345.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given numbers 60, 325, and 40. The expression will be formed as below:-

E = 60 + 325 - 40
E = 385 - 40

E = 345

Therefore, on adding 60 to 325 and then subtracting 40 the answer will be 345.

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Answer:

$2 for each bottle of mango juice and 3$ for each bag of chips

Step-by-step explanation:

hope it can help you lovelots

Answer:

You haven't explained the  time for account A - we will assume 12 months or the answer is obvious:

for Acct(A) :   I = 12.5 = A1  * .04           A1 =  $312.50

for Acct(B)     I = 11.25 = A2 * .03 * 5/4 = 300

Note that annual interest in B is .03 or I = .03 + .03 * 1/4 = .0375 for 15 mos.

11.25 = .0375 * A2     A2 = 300

Account A will have the greater principal

Answer:

1/8, 2/9, 3/7, 5/8, 4/5

Step-by-step explanation:

mark brainlist

Answer: he is right I don't want to still his win

Step-by-step explanation:

mark him brainiest

Answer:

3421

Step-by-step explanation:

3421 the order the tiles are in

Answer:

There are 14 teachers per student

Step-by-step explanation:

students per teacher =

students / teachers

students: 84

teachers 6

84 / 6 = 14

Answer:

Would you mind including the ratios in the comments?

You didn't post any material to solve.

Answer:

y - 4

Step-by-step explanation:

subtract 12 from both sides of the equation

4y+12-12= -7y +24 - 12

-4y = -7y +24 - 12

subtract

-4y +-7y + 12

add 7y to both sides of the equation

-4y + 7y = -7y +12 + 7y

simplify

3y + -7y  +12 + 7y

combine like terms.

3y = 12

divide

3y/3

=12/3

simplify      

y=12 3

y = 4

Answer:

y = 4

Step-by-step explanation:

Given the algebraic equation, -4y + 12 = -7y + 24, the goal is to solve for the value of y by isolating it to either sides of the equation.  

Start by adding 7y to both sides of the equation:

-4y + 7y + 12 = -7y + 7y + 24

3y + 12 = 0 + 24

3y + 12 = 24

Next, subtract 12 from both sides:

3y + 12 - 12 = 24 - 12

3y = 12

Divide both sides by 3 to isolate and solve for y:

[tex]\frac{3y}{3} = \frac{12}{3}[/tex]

y = 4

Double-check whether the value of y will provide a true statement if plugged into the equation:

-4y + 12 = -7y + 24

-4(4) + 12 = -7(4) + 24

-16 + 12 = -28 + 24

-4 = -4 (True statement).

Therefore, the value of y = 4.

Answer:

Step-by-step explanation:

To solve the first question write an equation of

[tex]a=\frac{1}{2} (12)(5)[/tex]

[tex]a=\frac{1}{2} 60[/tex]

[tex]a=30[/tex]

To find the answer to the second question we need to know how to classify the different triangles

Equilateral Triangle- 3 equal sides and 3 equal angles (angles always are 60)

Isosceles Triangle- 2 equal sides and 2 equal angles

Scalene Triangle- No equal sides and no equal angles

So this triangle has no equal sides or angles meaning that it is a scalene triangle

Answer: The area of the triangle is 30

The triangle is a scalene triangle

Step-by-step explanation:

I hope youre asking for the y=mx+b kind of equation… if so its y=2x-1

Answer:

15

Step-by-step explanation:

Answer:

move 1 to the right and 8 units up

Step-by-step explanation:

Answer:

I think it's c pick c it's c

Answer:

the answer is d

Step-by-step explanation:

A function can not have an input with more than one outcome

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:

  A.  AB, BC, AC

Step-by-step explanation:

The side lengths have the same order (smallest to largest) that their opposite angles have.

Angle B = 180° -50° -63° = 67°

The angles, smallest to largest, are C = 50°, A = 63°, B = 67°.

Their opposite sides (shortest to longest) are AB, BC, AC. (matches choice A)

Answer:

Step-by-step explanation:

Given:

Angle formed by intersecting chords is the half the sum of arc measures formed by same chords:

9 × 0 + (-80) + 8 = ?

= 0 - 80 + 8

= -80 + 8 <==> 8 - 80

= -72

~bilbul

9 × 0 + (-80) + 8

= 0 + (-80) + 8

= (-80) + 8

= -72 ✔️

:)

Answer:

134.3

Step-by-step explanation:

In [tex]\triangle{WXZ},[/tex] a right triangle, look at sides XW and XZ.

[tex]\frac{XW}{XZ}=\frac{\text{adjacent}}{\text{hypotenuse}}=\cos{82^\circ}\\\\XW=(XZ)\cos{82^\circ}[/tex]

You now need to find XW.

In [tex]\triangle{XYZ},[/tex] the measure of angle XZY (the one at the top) is 180 - (82 + 67) = 31 degrees.

Using the Law of Sines in triangle XYZ,

[tex]\frac{XZ}{\sin{67^\circ}}=\frac{540}{\sin{31^\circ}}\\\\XZ=\frac{540 \sin{67^\circ}}{\sin{31^\circ}}[/tex]

Put that into the equation for XW above...

[tex]XW=\frac{540\sin{67^\circ}\cos{82^\circ}}{\sin{31^\circ}}[/tex]

A calculator shows that this is approximately 134.3

Answer:

i just need point im so sorry only in Geomotry

Answer:

15

Step-by-step explanation:

speed is distance over time so its 30 devided by 2

Answer:

Simplify 1√26inindexform

Simplify √26.

Checking square roots, we see that 52 = 25 and 62 = 36.

Our answer is not an integer, so we try simplify it into the product of an integer and a radical.