Cape Beale Lighthouse, BC, is
on a cliff that is 51 m above sea
level. The lighthouse is there
to warn boats of the danger of
shallow waters and the
possibility of rocks close to the
shore. The safe distance for
boats from this cliff is 75 m. If
the lighthouse keeper is 10 m
above ground and observes a
boat at an angle of depression
of 50°, is the boat a safe
distance from the cliff? Justify
your conclusion.

Answers

Answer 1

Answer:

tan 50 = (51+10)/x where x is the distance of the boat

x = 51.2 m  

Boat is in an unsafe area

Step-by-step explanation:

<3


Related Questions

A bag contains 2 red beads, 1 yellow bead and 3 green beads. A bead is chosen at random. What is the probability that it is red? a) What is the probability that it is not yellow?

Answers

Answer:

Step-by-step explanation:

Total no of beads = 2 + 1 + 3 = 6

No of red beads = 2

p ( red ) = 2/6 = 1/3

No of non - yellow beads = 5

p ( yellow ) = 5/6

Hope this helps

plz mark as brainliest!!!!!!!!

Answer:

Step-by-step explanation:

There are total 6 beads in all.

2) Since there are 5 non-yellow beads, the probability that the bead is not yellow will be 5/6

Since there are 2 red beads, the probability that the bead is red will be 2/6 = 1/3

Plz help ASAP I WILL GIVE BRAINLIEST!!

Emily was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought seventeen more.IF SHE STARTED WITH 46 STAMPS, how many does she have now?
A. 75
B. 40
C. 29
D. 63

Answers

Answer:

B. 40

Step-by-step explanation:

She starts with 46 and sells half of them

That leaves her with 23 stamps left.

She then buys 17 more, 23 + 17 is 40

Answer is B

Answer:

B. 40 stamps

Step-by-step explanation:

We know that she sold half of her stamps. She started with 46 stamps.

First, find 1/2 of 46.

Multiply 1/2 and 46, or divide 46 by 2.

1/2 *46= 23

46/2=23

She sold 23 stamps, and was left with 23 stamps.

Then, she bought 17 more. If she bought more, she added to the amount she already had.

Therefore, we can add 23 and 17.

23+17=40

She has 40 stamps now.

solve for x. 7x+4=30

Answers

Answer: x≈3.7

Step-by-step explanation:

7x+4=30

-4 on both sides

30-4=26

7x=26

divide 7 on both sides

x=3.7142...

Answer:

3.7

Step-by-step explanation:

7x+4=30

7x=30-4

7x=26

26/7

3.7

-28=7(x-7) What does x=

Answers

Answer:

so x=3

Step-by-step explanation:

-28=7(x-7)

opening the brackets by multiplying

-28=7x-49

adding 49 on both sides

-28+49=7x-49+49

21=7x

dividing 7 on both sides

21/7=7x/7

x=3

i hope this will help you :)

Answer:

-28=7(x-7)

First expand the terms on the right side

That is

-28 = 7x - 49

Group like terms

7x = -28 + 49

7x = 21

Divide both sides by 7

7x/7 = 21 /7

x = 3

Hope this helps

(10,16) and (-28, -16)
What is the midpoint of a segment
with the endpoints shown to the
left?
(-18, 0)
(-9, 2)
(19,16)
(-9,0)

Answers

Answer:

(-9, 0)

Step-by-step explanation:

To find the midpoint of the segment, we use the mathematical formula below;

(x,y) = {(x1+x2)/2 , (y1+y2)/2}

From the question;

(x1,y1) = (10,16)

(x2,y2) = (-28,-16)

Substituting these values into the equation we wrote above, we have;

(x,y) = (10-28)/2 , (16-16)/2

(x,y) = (-18/2, 0/2) = (-9,0)

please help to solve this question
Find H.C.F
i) x^3-y^3, x^6-y^6, x^4+ x^2y^2+y^4​

Answers

Answer:

No Like terms

Step-by-step explanation:

x^3-y^3= No like terms (its simplified)

x^6-y^6= No like terms  (its simplified)

x^4+ x^2y^2+y^4​ = No like terms  (its simplified)

Hope this helps! Have a nice day :)

Answer:

x^2+xy+y^2

Step-by-step explanation:

x^3-y^3= (x-y)((x^2+xy+y^2)x^6-y^6=(x^3+y^3)(x^3-y^3)= (x^3+y^3)(x-y)(x^2+xy+y^2)x^4+ x^2y^2+y^4​= x^4+2x^2y^2+y^4 - x^2y^2= (x^2+y^2)^2 -x^2y^2=(x^2+xy+y^2)(x^2-xy+y^2)

HCF is x^2+xy+y^2 as it is the factor of all three polynomials

Using the distance formula, find the distance between two points. (6, 0) (-5, 4)

Answers

Answer:

11.7046999

Step-by-step explanation:

using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:

d=√(6-(-5)² + (0-4)²

d=√(11)²+ (-4)²

d=√121+16

d=√137

d approximately equal to (≈) 11.7046999 or 11.7 or 11

if U is the midpoint of CB, CU=18, and CB= 2x-10, then find x

Answers

Answer:

x = 23

Step-by-step explanation:

CU + UB = CB

Since U is the midpoint that means CU = UB = 18

18+ 18 = 2x-10

36 = 2x-10

Add 10 to each side

36+10 = 2x

46 =2x

Divide by 2

23 = x

Answer:

x = 23

Step-by-step explanation:

CB/2 = CU

CB = (2)CU

2x - 10 = (2)18

2x - 10 = 36

Add 10 on both sides.

2x = 46

Divide both sides by 2.

x = 23

In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%.I) Find the weight of the wastage. II) Find the weight and percentage of rice cultivated.

Answers

Answer:

i. weight of wastage(kg) = 179.775 kg

ii. weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

Step-by-step explanation:

A land of 1000 sq. meter  is used to cultivate 765 kg of rice with wastage of 23.5%.

i. The wastage in percentage is 23.5% but the weight of the wastage in weight is  23.5% of 765 kg

weight of wastage = 23.5/100 × 765

weight of wastage = 17977.5/100

weight of wastage(kg) = 179.775 kg

ii. weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

If a vehicle travels 25x miles in 2 hours, what is the vehicle's average speed, in miles per hour.

Answers

Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.

Work:

In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.

So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.

25/2 = 12.5

That means, the vehicle is traveling at a speed of 12.5 mph.

Thus, the average speed of the vehicle is 12.5 miles per hour (mph).

Solve the equation 3/2(y-1) =y+5 and represent the solution on number line and on the cartesian plane...... pls solve it and spam answers will be reported and if it is truly the correct answer i will 100% sure mark it as brainleist

Answers

Answer:

y = 13

Step-by-step explanation:

Step 1: Distribute

3/2y - 3/2 = y + 5

Step 2: Subtract y on both sides

1/2y - 3/2 = 5

Step 3: add 3/2 on both sides

1/2y = 13/2

Step 4: Divide both sides by 1/2

y = 13

Answer:

y = 13.

Step-by-step explanation:

3/2(y-1) = y+5

3/2y - 3/2 = y + 5

3/2y - y = 5 + 3/2

1/2y = 6 and 1/2; 6.5; 13/2

y = 13.

To check out work...

3/2(13 - 1) = 13 + 5

3/2(12) = 18

3 * 6 = 18

18 = 18

On a number line, all you need to do is plot a point where it says 13. On a cartesian plane, you would have a horizontal line that expands infinitely in each direction, where y = 13.

Hope this helps!

AC=4, AE=7, AD=10, what is the length of AB?
A: 1 3/7
B: 2 1/2
C: 5 5/7
D: 17 1/2

Answers

Answer:

C. [tex] AB = 5\frac{5}{7} [/tex]

Step-by-step explanation:

When two polygons are considered similar, the ratio of their corresponding sides would also be equal.

Since ∆ABC and ∆ADE are similar, [tex] \frac{AE}{AC} = \frac{AD}{AB} [/tex]

[tex] \frac{7}{4} = \frac{10}{AB} [/tex]

Cross multiply

[tex] 7*AB = 10*4 [/tex]

[tex] 7*AB = 40 [/tex]

Divide both sides by 7 to find AB

[tex] \frac{7*AB}{7} = \frac{40}{7} [/tex]

[tex] AB = \frac{40}{7} [/tex]

[tex] AB = 5\frac{5}{7} [/tex]

Write an equation in point-slope form for each line (If possible please show work)

Answers

Answer: y-2=1/4(x-1)

Step-by-step explanation:

The formula for point-slope is y-y₁=m(x-x₁). Since we are given the slope m, we can fill that in. We are also given the point (x₁,y₁). We can also fill that in.

y-2=1/4(x-1)

Please helppppp meeeeee it would mean the worlddddd

Answers

Answer:

x = 7.5

Step-by-step explanation:

The shape of a ball is circle true or false

Answers

Answer:

False

Step-by-step explanation:

A ball is a three dimensional object and it is spherical in shape.

Answer:

A ball is spherical

it's shaped like a sphere

Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =

Answers

Answer:

  2x -3y = 19

Step-by-step explanation:

For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-5-(-1))/(2 -8)(x -8) +(-1)

  y = -4/-6(x -8) -1

  3y = 2x -16 -3 . . . . multiply by 3

  2x -3y = 19 . . . . . . rearrange to standard form

__

The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.

Answer:

2x + -3y = 19

Step-by-step explanation:

I promise

Round 0.0008873319 to 2 significant figures

Answers

Answer:

0.00089.

Step-by-step explanation:

The third significant figure is 7 so we round up the 8,

in an abc triangle, the hypotenuse is 10 and the other sides are x, the measurement of angle B is 90 deg, what is the value of x

Answers

Answer:

x = [tex]5\sqrt{2}[/tex].

Step-by-step explanation:

The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.

Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).

Since the hypotenuse is 10, and the side length is x, we can make a proportion.

[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]

[tex]x\sqrt{2}[/tex] = 10

x = [tex]\frac{10}{\sqrt{2} }[/tex]

x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]

x = [tex]\frac{10\sqrt{2} }{2}[/tex]

x = [tex]5\sqrt{2}[/tex]

Hope this helps!

What is the equation of the translated function, g(x), if
f(x)=x²?
O g(x) = (x-4)2 + 6
O g(x) = (x + 6)2 - 4
O g(x) = (x - 6)2 - 4
O g(x) = (x + 4)2 + 6

Answers

Answer:

the answer is (x+6)2-4

The correct equation of the translated function, g(x) is,

⇒ g(x) = (x + 4)² 6

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

here, we have,

Given that:

The function is,

,⇒ f (x) = x²

Here, f(x) has vertex point is (0,0)

and g(x) vertex point is (-4,6)

Hence, The general form of equation with vertex is

⇒ y = a (x - h)² + k

where (h, k) are the vertex.

So, the equation of g(x) form is

⇒ g(x) = (x + 4)² + 6

Therefore, Option D is correct.

Learn more about the function visit:

brainly.com/question/11624077

#SPJ7

Here are 4 fractions labelled A,B,C,D. A is 3/4 B is 5/6 C=16/25 D=9/15 Using the label A,B,C,D, Write the fractions in order of size starting with the smallest fraction

Answers

Answer:

Starting with the smallest, we will have; D , C, A, B

Step-by-step explanation:

Given;

A = 3/4

B  = 5/6

C = 16/25

D = 9/15

Convert the fractions to decimal, to determine their sizes;

A = 3/4 = 0.75

B  = 5/6 = 0.833

C = 16/25 = 0.64

D = 9/15 = 0.6

From the decimal form of the fractions, it be observed that,

B > A > C > D

Starting with the smallest, we will have; D , C, A, B

Simplify the expression.

Write your answer without negative exponents.​

Answers

Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]

Step-by-step explanation:

Any negative exponent can be moved to the other side of the fraction as a positive exponent.

Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4.  Then, use the exponent rule to get 5a^2/-10a^4b^9

Hope it helps <3

What is the value of m in the figure below? In this diagram, ΔABD ~ ΔBCD.

Answers

Answer:

√126

Option D is the right option.

solution,

[tex] \frac{ac}{bc} = \frac{bc}{dc} \\ or \: \frac{18}{ m} = \frac{m}{7} \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \: {m}^{2} = 126 \\ m = \sqrt{126} [/tex]

Hope this helps..

Good luck on your assignment.

Hope

PLZ HELP ME PLZZZ I NEED HELP​

Answers

Answer:

y = 40.5 cm

Step-by-step explanation:

The total area of the shape is 792 cm²

let's find the area of the four parallelograms

To do that we should calculate the area of the rhombus inside and then substract it from the total area

The area of a rhombus is given by the formula:

A = [tex]\frac{d*d'}{2}[/tex]       where d and d' are the diameters

Let A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms

A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex]  A" = 729 cm²

Let a be the area of the single parallelogram

a = A"/4             since the parallelograms are congruent a = 729/4 a = 182.25 cm²

the area of a parallelogram is fiven by the formula :

A = b*h b is the base (here y/2) and h the height (here 18/9)

let's find y

a = [tex]\frac{y}{2}[/tex] * 9182.25*2 =  y*9 364.5 = y*9 y = 364.5/9 y = 40.5

PLEASE HELP ASAP! IT'S EASY WORD PROBLEM!!!!!!!! My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?

Answers

Answer:

t = 2,22 h

Step-by-step explanation:

At the beginning with the first processor, we download in 5 hours the whole movie, then in 1 hour, that processor downloads 1/5 of the movie.

If with the two processors we download the movie in 4 hours in 1 hour we download 1/4 of the movie.

In 1 hour with the two processors,  we get    1/4,  and in 1 hour with the old processor we get 1/5  

Then in 1-hour the old processor  plus contribution of the new one will download 1/4 of the movie or

 1/5  +  x   = 1/4

x  = 1/4 - 1/5

x(h) =  5 + 4 /20        x = 9/20    or   0,45 of the movie in  1 hour

Working along the new processor will do 0,45 ( 9/20) in 1 hour, to finish the whole movie it will need to download 11/20

If   in 1 hour download    9/20

            x                          11/20

x(r)   = (11/20) / (9/20)    = 11/9     x(r) =  1,22 (h)

Then total time for the new processor to download the movie is:

t = 1,22 + 1

t = 2,22 h

if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)

Answers

Answer:

(f-g) (x) is

[tex] {4}^{x} - 5x - 14[/tex]

Step-by-step explanation:

f(x)=4ˣ - 8

g(x)=5x+6

(f-g) (x) is

[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]

The final answer is

[tex] {4}^{x} - 5x - 14[/tex]

Hope this helps you.

someone help me asap

Answers

Answer:

43.3 m

Step-by-step explanation:

you can use Tangent and calculator or table to find it.

tan ∅ = opp/adj

tan 61° = r/24

1.804 = r/24

r = 1.084 * 24 = 43.297 m

r = 43.3 m

If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area

Answers

Answer:

[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

[tex]SA=2(lw+lh+wh)[/tex]

l - length

w - width

h - height

We have:

[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]

Substitute:

[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]

1. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B

Answers

Answer:

C

Step-by-step explanation:

Equation A

16x - 7 = 11x - 32

(16x - 7) - 11x = (11x - 32) -11x

5x - 7 = -32

(5x - 7) + 7 = (-32) + 7

5x = -25

(5x)/5 = (-25)/5

x = -5

Equation B

-4x - 10 = 2x + 20

(-4x - 10) - 2x = (2x + 20) - 2x

-6x - 10 = 20

(-6x - 10) + 10 = (20) + 10

-6x = 30

(-6x)/-6 = (30)/-6

x = -5

Both Equation A and Equation B have a solution of -5.

Who coined the term “fractal”?'

Answers

Answer:

Benoit Mandelbrot

Step-by-step explanation:

I googled it.

Answer:

B MANDLEBROT

Step-by-step explanation:

Who coined the term “fractal”?

a.

Sierpinski

c.

Sapoval

b.

Mandlebrot

d.

Amalgamated Research

write the coordinate point for the vertex of this parabola x=-1/8y^2

Answers

Answer:

(0,0)

Step-by-step explanation:

x = -⅛y²

The equation exchanges x and y, so this is a sideways parabola.

It opens to the left because the coefficient of y² is negative.

The vertex form of a sideways parabola with its vertex at (h, k) is:

x =  a(y – k)² + h

Your equation is

x = -⅛(y - 0)² + 0

By comparing the two equations, we find that

h = 0; k = 0.

The vertex is at (0, 0).  

The Figure shows your parabola with its vertex at (0,0).

Answer:

(0,0)

Step-by-step explanation:

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