A ship is at a distance of 200 m from a tall tower. What is the angle of depression (to the nearest degree) of the ship found by a man after climbing 50 m up the tower?

Answer:

gradient = 1

Step-by-step explanation:

Calculate the gradient m using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = [tex]\frac{1-0}{0-(-1)}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Answer:

x = friends that paid discount price = 8

y = friends that paid regular price = 4

Step-by-step explanation:

Let

x = friends that paid discount price

y = friends that paid regular price

x + y = 12 (1)

6x + 8y = 80 (2)

From (1)

x = 12 - y

Substitute x = 12 - y into (2)

6x + 8y = 80 (2)

6(12 - y) + 8y = 80

72 - 6y + 8y = 80

- 6y + 8y = 80 - 72

2y = 8

y = 8/2

y = 4

Substitute y = 4 into (1)

x + y = 12 (1)

x + 4 = 12

x = 12 - 4

x = 8

x = friends that paid discount price = 8

y = friends that paid regular price = 4

Answer:

GCF = 16

Step-by-step explanation:

All 3 coefficients are divisible by 16, and 16 is the greatest factor that can divisible.

Answer:

GCF = 16

Step-by-step explanation:

64/16 = 4

16/16 = 1

80/16 = 5

All of the terms in the polynomial are able to be divided by 16 the GCF.

Answer:

π (radius) square

where π value is 22/7

Answer:

Step-by-step explanation:

-5(7m-2)

-5*7m-(-5)*-2

-35m+10

The expansion of an equivalent expression −5(7m−2) is -35m + 10.

Distributive property says that the sum of two or more addends multiplied by a number, gives the same answer as distributing the multiplier, multiplying each added separately, and adding the products together.

Given expression

−5(7m−2)

For expanding the expression, use distributive property

= -5 × 7m - (-5) × (-2)

= -35m + 5 × 2

= -35m + 10

Hence, The expansion of an equivalent expression −5(7m−2) is -35m + 10.

Learn more about distributive property here

https://brainly.com/question/23137494

#SPJ2

Answer:

486

Step-by-step explanation:

multiply the length width and height for the surface area

pls mark me brainliest

Answer:

The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.

Step-by-step explanation:

The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.

Answer:

foreign stamps = 299

US stamps = 353

Step-by-step explanation:

Let number of foreign stamps be x.

Given she has 54 more U.S stamps than foreign , US stamps = x +54

Total stamps = US + Foreign

652 = x + 54 + x

652 - 54 = 2x

598 = 2x

x = 299

Answer:

1.) [tex]5x^{2} -7x+1[/tex]

2.)[tex]2(x^{2} -3x-3[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) ([tex]2x^{2}[/tex] - 9x + 4) + ([tex]3x^{2}[/tex] + 2x - 3)

= [tex]2x^{2}[/tex] - 9x + 4 + [tex]3x^{2}[/tex] + 2x - 3

= [tex]5x^{2}[/tex] - 7x - 1

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

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

Answer:

[tex]d=60ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height [tex]h= 30ft[/tex]

Angle [tex]\theta=30 \textdegree[/tex]

Generally the equation for Distance traveled is mathematically given by

Since

Distance traveled forms the hypotenuse of a right angle triangle

Therefore

 [tex]d=\frac{h}{sin30}[/tex]

 [tex]d=\frac{30}{sin30}[/tex]

 [tex]d=60ft[/tex]

Answer:

-486, 1458, -4374, 13,122

Step-by-step explanation:

each number is multiplied by -3

Answer:

Answer: There is 32in² more sand in the pyramid with greater volume.

step explanation:

Step-by-step explanation:

Maths

Bookmark

if 2

2008

−2

2007

−2

2006

+2

2005

=k ⋅2

2005

then the value of k is equal to

Answer

Correct option is

B

3

2

2008

−2

2007

−2

2006

+2

2005

=k⋅2

2005

⇒[2

2008

−2

2006

]−[2

2007

−2

2005

]=k⋅2

2005

⇒2

2006

(2

2

−1)−2

2005

(2

2

−1)=k⋅2

2005

⇒3(2

2006

−2

2005

)=k⋅2

2005

⇒3[2

2005

(2−1)]=k⋅2

2005

⇒3(2

2005

)=k⋅2

2005

On comparing, we get

k=3

Hence, Option B is correct.

Answer:

k = 3

Step-by-step explanation:

[tex]2^{2008}-2^{2007}-2^{2006}+2^{2005}=k \times 2^{2005}[/tex]

[tex]=> (2^{2005} \times 2^3) - (2^{2005} \times 2^2) - (2^{2005} \times 2^1) + 2^{2005} = k \times 2^{2005}[/tex]

[tex]=> 2^{2005}(2^3 - 2^2 - 2^1 + 1) = k \times 2^{2005}[/tex]

[tex]=> \frac{2^{2005}(2^3 - 2^2 - 2^1 + 1)}{2^{2005}} = \frac{k \times 2^{2005}}{2^{2005}}[/tex]

[tex]=> 2^3 - 2^2 - 2^1 + 1 = k[/tex]

[tex]=> 8 - 4 - 2 + 1 = k[/tex]

[tex]=> k = 3[/tex]

Answer:

34.5 ft

Step-by-step explanation:

~Refer to the attachment for the solution.

Answer:

x + 5 = 5×

7x - 5 = 2x

5x + 2x + x = 180

8× = 180

8 8

x = 22.5

Answer: 23 12

Step-by-step explanation:

Answer:

34 in

Step-by-step explanation:

Trapezoid Area Formula: A= 1/2h (base 1 + Base 2)

A= 1/2(4)* (12+5)

A= 2 *(17)

A= 34 in  

I hope this helped :)

Answer:

The length of the hypotenuse is the square root of 169, which in turn is 13.

Step-by-step explanation:

Here we have a right triangle with leg lengths 12 m and 5 m.  Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.

The Theorem states that a^2 + b^2 = c^2.  In this particular case,

(12 m)^2 + (5 m)^2 = c^2

which in turn becomes:

144 + 25 = 169.  The length of the hypotenuse is the square root of 169, which in turn is 13.

Answer:

a)

x²+2x

b)

2x²-5x

c)

6x²+8x

d)

6x²-12xy

hopefully i understand it correctly because my engilish is not the best

Answer:

K = -2J + 24

Step-by-step explanation:

Find two point of the line

(12,0) ; (10,4)

Use this equation:

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-0)/(4-0) = (x-12)/(10-12)

y/4 = (x-12)/(-2)

y/4 = (-x+12)/2

y = -2x + 24

Answer:

25 hours

Step-by-step explanation:

first you ask yourself that :

if it takes just 10 hrs to make $80 , would it take more or less hours to make $200.

The answer is it will take more hours to make $200,

Based on this idea established: we say if it's giving more then less would divide.

so therefore:

we have

[tex] \frac{200}{80} \times 10 [/tex]

finally we have 25 hours.

Thanks

Answer:

x = 120-95

Step-by-step explanation:

The correct equation for the expression is:

∠AFC = ∠AFB+ ∠BFC

Given that

∠AFC = 120°

∠BFC = 95°

Substitute

120= ∠AFB+95

∠AFB = 120-95

If ∠AFB = x

The required equation will be:

x = 120-95

Answer:

Use calculator it's easy ....

Answer :

3765.8

Answer:

[tex](2.2 \times 1019) + (1.5 \times 1016) \\ = 2241.8 + 1524 \\ = 3765.8[/tex]

Answer:

(-3, -4)

Step-by-step explanation:

Handy fact: the average of two numbers is exactly halfway between them.

To find the midpoint, average the x-coordinates; average the y-coordinates.

(1 + -7)/2 = -6/2 = -3

(-8 + 0)/2 = -8/2 = -4

The midpoint is (-3, -4).

Answer:

I might be wrong, but if I did this right it would be D.

Step-by-step explanation:

I'm sincerely sorry if I got this wrong.

Answer:

B. 3.72 x [tex]10^{7}[/tex]

Step-by-step explanation:

The distance between the sun and Mercury is approximately 36,000,000 miles.

Move the decimal point 7 positions to the left so that there is only one digit to the left of it.

Multiply that number by 10 raised to the power of 7

7 is the number of positions that the decimal point was moved.

I do not know this subject too well but hopefully this helps.

120

10 x 8 = 80

8 x 5 = 40

80 + 40 = 120

Answer:

is it 40

Step-by-step explanation:

6×10=60. 4×5=20

60-20=40