From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea
is 24. Find, to the nearest foot, the distance from the boat to the foot of the
lighthouse. (The foot of the lighthouse is at sea level.)

Answer:

x=9

Step-by-step explanation:

2x+12=5x-15

3x=27

x=9

Answer:

the value of X in the figure is 0 I think

Answer:

3 x ^3  −  4 x ^2  −  23 x  +  10

Step-by-step explanation:

hope this helps!

Answer:

[tex]54[/tex] feet

Step-by-step explanation:

Length of the flower bed [tex]=15[/tex] feet.

Width of the flower bed is [tex]\frac{4}{5}[/tex] the length.

So, width [tex]=\frac{4}{5}\times 15=4\times 3=12[/tex] feet.

To find the length of the fencing, we need to find the perimeter of the flower bed.

Perimeter of a rectangle [tex]=2(\textrm{length} + \textrm{width})[/tex]

So, perimeter of the flower bed [tex]=2(15+12)=2\times 27 = 54[/tex] feet.

Hence, [tex]54[/tex] feet of fencing is required for the flower bed.

Answer:

B

Step-by-step explanation:

Answer:

1/(x - 2) (x + 4)

Step-by-step explanation:

Answer:

8:1

Step-by-step explanation:

Do 48/6 to find the ratio

Answer:

[tex]44,826.72\ \text{pounds}[/tex]

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]

If water weighs 62.4 pounds per cubic foot, it means

[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]

So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].

Answer:

£120 : £200

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 = 8 parts

Divide the amount by 8 to find the value of one part

£320 ÷ 8 = £40 , then

3 parts = 3 × £40 = £120

5 parts = 5 × £40 = £200

Then £320 in the ratio 3 : 5 is £120 : £200

The division of  £320 in the ratio of 3: 5 is £120: £200.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the amount of £320

Now,

The ratio is 3: 5 so divide 320 by 3 + 5 to find the per unit ratio value.

So,

320/8 = 40

Now,

Multiply by 3 ⇒ 3 × 40 = 120

Multiply by 5 ⇒ 5 × 40 = 200

So ratio 120/200 = £120: £200.

Hence "The division of  £320 in the ratio of 3: 5 is £120: £200".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

I think its C, cause I said so.

Answer:

1/12

Step-by-step explanation:

Step one:

given data

the line containing the points (5, 3) and (-7, 2).

x1= 5

y1= 3

x2= -7

y2=2

Step two:

The slope is given as

Slope= y2-y1/x2-x1

substitute

Slope= 2-3/-7-5

Slope= -1/-12

Slope = 1/12

Answer:

$40

Step-by-step explanation:

Let y represent the amount of money that Byron earned mowing the neigbours's lawn.

Since he spent one fourth of his money to see a movie, it means that the amount spent to see a movie would be y/4

Them he spent $6 on porpcon and drinks; which means that the total amount spent

= y/4 + 6

The amount left would be

y - (y/4 + 6) = y - y/4 - 6

When he went home, he had $24.00 left which means that;

y - y/4 - 6 = 24

y - y/4 = 24 + 6

3y/4 = 30

Cross multiply

3y = 120

y = $40

Therefore, Byron earned $40 mowing the neighbour's lawn.

Answer:

40 give him brainliest

Step-by-step explanation:

Answer:

8x-3=5x+6

Step-by-step explanation:

8x-3=5x+6

3x=9

x=3

Answer:

Speed = Distance/time in km/h

a) 18 feet in 20 minutes

0.0054864 km/0.333333hours

=0.01645921645 km/h

b) 90 feet in 2.5 hours

0.027432km/2.5

=0.0109728 km/h

c) 20 yards in 1.5 hours

0.018288km/1.5

=0.012192 km/h

d) 3 2/3 yards in 15 minutes

0.003352800000003048km/0.25hours

=0.0134112

So I think its safe to say that A is the fastest in comparison

Answer:

1. -1

2.C

Step-by-step explanation:

Answer:

-1

c

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The equation [tex]y=\frac{2}{3}x-1[/tex] is in slope-intercept form([tex]y=mx+b[/tex]).  For a line to be parallel to another, it must have the same slope.  The slope of the line given is 2/3.  Thus, simply plug in 2/3 for the slope to get: [tex]y=\frac{2}{3} x+b[/tex].  Then, because the line passes through -6, 6, plug those values in for x and y, respectively.  [tex]6=\frac{2}{3} *-6+b[/tex]

[tex]6=-4+b[/tex]

[tex]10=b[/tex]

Thus, the equation of the line is [tex]y = \frac{2}{3} x+10[/tex], or A

Hope it helps :D

Answer:

A

Step-by-step explanation:

The y intercept of the graph is at -3, meaning it can only be A or B.

Now that we've narrowed it down, look at the slope. When it comes to slope, it is rise/run. Meaning that if the slope is -4/3, you would go from a point on the line, down 4 spaces and to the right 3 spaces. If that was the slope, your end point would still be on the line.

Let's use the y intercept of (0, -3) as our start point. if you go down 4 spaces and right 3, that leaves you at (3, -7). But that point doesn't fit the line, so that can't be your slope.

This means your slope is -3/4, which if you checkit, does match up to the graph. Meaning the answer is A.

Answer:

1 cart = 125

2 cart = 135

3 cart = 145

4 cart = 155

Step-by-step explanation:

Answer:

a) 94°

Step-by-step explanation:

shape is a 5-sided polygon, known as a pentagon

number of degrees inside can be found by taking the number of sides (5), deducting 2 (3) and then multiplying by 180°.

Therefore there are 540° altogether.

add all like terms for all five angles:  24x - 12 = 540

                                                             24x = 552

                                                               x = 23

m∡P = 4(23) = 2

         = 92 + 2

          = 94°

Answer:

x=6

Step-by-step explanation:

because of vertical angles, 9x-4=12x-22

3x=18

x=6

plz give thx and brainliest!

Answer:

5:7

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

Welcome :)

Answer:

2 = 3.5 0.=3.2

Step-by-step explanation:

hope it helps

Answer:

x+8.95 and x+24.55

Step-by-step explanation:

im not going to do this

Answer:

Let b=x

Such that b^2 =8b-8 will x^2=8x-8

Using the almighty quadratic formula

x1={-b+sqrt (b^2-4ac)}/2a

x2={-b-sqrt (b^2-4ac)}/2a

From the question

a=1

b=8

c=-8

x1={-8+sqrt (8^2-4(-8))}/2

x1=(-8+5.66)/2

x1=-1.17

x2={-8-sqrt (8^2-4(-8))}/2

x2=(-8-5.66)/2

x2=-6.83

:.(x1,x2)=(-1.17,-6.83)

Step-by-step explanation:

Answer:

$48,000

Step-by-step explanation:

Step one:

given data

Principal= $12,800

rate= 12.5%

time = 3 years

Required

The Interest

Step two

SImple interest= PRT/100

substitute

SI= 12800*12.5*3/100

SI=480000/100

SI=$48,000

Answer

f(x)=9/x , g(x) = x / x + 1 = 9/2

Step-by-step explanation:

Answer:

m = 0

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{7+6}=\frac{0}{13} =0[/tex]

Hope this helps