please help, choose the correct equation

Answer:

The distance from the boat to the foot of the lighthouse is 359.36 ft

Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.

Given that, From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea is 24.

The whole situation is representing a right triangle (refer to figure)

Let  the distance from the boat to the foot of the lighthouse be x

We know that, angle of depression = angle of elevation

Then, using formula of height and distance,

tan 24° = 160 / x

x = 160 / tan 24°

x = 359.36

Hence,  the distance from the boat to the foot of the lighthouse is 359.36 ft

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Answer:

14

Step-by-step explanation:

Just add both the numbers as positive to get total length since one is negative

5.3+8.7=14

Answer:

The length of the segment is 14.

Step-by-step explanation:

8.7 - (-5.3) = 14.

An easier way to do this is just by counting backwards kinda on the number line.

Answer:

434.9 cm³

Step-by-step explanation:

Volume of a sphere: 4/3πr³

Substitute the information to find the volume.

4/3π(4.7)³ = 434.9

Answer (this one's written in slope-intercept form):

[tex]y= \frac{3}{5}x -3[/tex]

Step-by-step explanation:

1) Lines that are parallel to each other have the same slope. The line [tex]y=\frac{3}{5} x-8[/tex] is in slope intercept form, or [tex]y = mx + b[/tex] form, and the number in place of [tex]m[/tex] represents the slope. Knowing this, it looks like [tex]\frac{3}{5}[/tex] is in the place of the [tex]m[/tex] in that equation, so  [tex]\frac{3}{5}[/tex] is the slope - and the slope we need to use for the answer, too.

2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or [tex]y-y_1 = m (x - x_1)[/tex]. [tex]m[/tex] is the slope and [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of the point it must pass through. So, substitute [tex]\frac{3}{5}[/tex] for [tex]m[/tex], 0 for [tex]x_1[/tex], and -3 for [tex]y_1[/tex]. Simplify and isolate y to put it in slope-intercept form:

[tex]y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3[/tex]

3) Thus, [tex]y = \frac{3}{5} x - 3\\[/tex] is the answer. It's written in slope-intercept form.

Answer:

The cost of 1 orange is $2.05.

Step-by-step explanation:

Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.

Cost of 5 oranges = $5x

Cost of 2 packs of strawberries = 2×5 = $10

ATQ,

5x + 10 = 20.25

Subtract 10 both sides

5x + 10 -10 = 20.25-10

5x = 10.25

x = 2.05

So, the cost of 1 orange is $2.05.

Answer:

1. x-intercept = 3/-5 = -0.60000

 y-intercept = 3/1 = 3

2. x-intercept = 3/3 = 1

 y-intercept = 3/1 = 3

Step-by-step explanation:

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-5x-3  = 0 and calculate its properties

When y = 0 the value of x is 3/-5 Our line therefore "cuts" the x-axis at x=-0.60000

Answer:

is D

Step-by-step explanation:

because it's the answer

Answer:

o

Step-by-step explanation:

scale factor= 0..........

Answer:

Given:

Andrew walked during a walkathon to raise money= 24 laps

Each lap= [tex]\frac{1}{4}[/tex] of a mile

Andrew's dad donated= $5.25 for every mile

Step-by-step explanation:

Total money donated by Andrew's dad=Andrew walked x each lap distance                                                           x donated money

                                                               =24 x [tex]\frac{1}{4}[/tex] x 1 x 5.25

                                                               =6 x  5.25

                                                               = $31.50

Answer:

35 Students

Step-by-step explanation:

So if 40% of the students like Baseball and that there are 14 students in the class room.

Another way to interpret this is that you can divide 14 by 40% to find the total amount.

This gets you: 14 divided by 0.40 = 35 Students

Answer:

A. [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)

Step-by-step explanation:

A composite figure is formed by two or more shapes in contact.

Volume of a cube = [tex]l^{3}[/tex]

where l is the length of its sides.

Given that l = 2r, then;

volume of the cube = [tex](2r)^{3}[/tex]

                                 = 8[tex]r^{3}[/tex]

volume of the cube = 8[tex]r^{3}[/tex]

For a hemisphere, volume = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

Also,

volume of the hemisphere = [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

So that,

volume of the composite figure = volume of the cube + volume of the hemisphere

                                                 = 8[tex]r^{3}[/tex] + [tex]\frac{2}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

                                                 = [tex]r^{3}[/tex](8 +  [tex]\frac{2}{3}[/tex][tex]\pi[/tex])

volume of the composite figure =  [tex]r^{3}[/tex]([tex]\frac{2}{3}[/tex][tex]\pi[/tex] + 8)

Answer:

Car B is travelling at the faster speed.

Step-by-step explanation:

Given that,

The distance covered by car A = 100 m

Time of car A, t = 5 s

The distance covered by car B = 100 m

Time of car B, t = 2 s

We need to find which one is travelling at the faster speed.

Speed = distance/time

For car A,

[tex]v_A=\dfrac{100\ m}{5\ s}\\\\v_A=20\ m/s[/tex]

For car B,

[tex]v_B=\dfrac{100\ m}{2\ s}\\\\v_B=50\ m/s[/tex]

So, car B is travelling at the faster speed.

Answer:

This is a controlled experiment.

Step-by-step explanation:

A controlled experiment is one in which all variables are kept constant except one, which is the independent variable. The samples are divided into the experimental and the control groups. The control group is the normal state of the condition being tested and would be compared to the experimental groups to check for changes.  

In the experiment above, the experimental group is given the new drug while the group that was administered the placebo is the control group. The two groups are compared after six months to check for changes.

Answer:

Some Facts about lines (1) For non vertical line L, if L passes a point (x0,y0) with slope m, then an equation of line L is y − y0 = m(x − x0). (2) If a non vertical line L passes through distinct points (x1,y1) and x2(y2), then the slope of L is m = y2 − y1 x2 − x1 . x a + y b = 1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Denote x2 by y.

(x2-3)7=(y-3)7

This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8

You have 7 terms of (y-3) in (y-3)7.  To get the fourth power of y, you need to choose y from four of the terms.  The number of ways you can do this is the combinations of 7 things taken 4 at a time.  This is:

7!/(4!3!)=35

So, the coefficient of x8 in the given expansion will be 210.

HOPE IT HELPS

THANK YOU

Answer:

Under couch

Step-by-step explanation:

Answer:

[tex]-21 < 109[/tex]

Step-by-step explanation:

Given

[tex]Savings = \$109[/tex]

[tex]Checking = -\$21[/tex]

Required

Represent as an inequality

On a number line -21 comes before 109 (from left to right)

This means that -21 is smaller/lesser than 109.

So, the inequality that compares the two account values is:

[tex]-21 < 109[/tex]

Answer:

Step-by-step explanation:

C is 135'

A is 90'

B is 90'

D is 45'

E is 45'

F is 135'

Answer:

I'ma just take the free points, Give the other person a brainlest

Step-by-step explanation:

Answer:

21 is the answer your welcome

Answer:

let number be n

by question

(5n+3)=(n-9)

5n-n=-9-3

4n=-12

n=-12/4=-3

required no. is -3.

Answer:

30

Step-by-step explanation:

6*4+2*9/3

24+2*9/3

24+6

30

Answer:

5

Step-by-step explanation:

33p is separated into 3p and 2p

4 more 2p than 3p

5 3 points

9 2 points

Answer:

37

Step-by-step explanation:

Answer:

The answer is 7.4 × 10³ ( or 0.74 × 10⁴).

Step-by-step explanation:

The steps are :

(1.5 × 10⁴) - (7.6 × 10³)

= (15 × 10³) - (7.6 × 10³)

= (15 - 7.6) × 10³

= 7.4 × 10³