The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff?
Group of answer choices

75 feet

129 feet

141 feet

27 feet

Answer: 5

Step-by-step explanation:

This question is basically asking:

6 = 30 ÷ ?

We can use a fact family to find the value.

30 ÷ 6 = 5

The answer is 5.

Answer:

B?

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

edge 2020

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

Answer:

sorry bro

Step-by-step explanation:

Answer:

Y=6x+20

Step-by-step explanation:

Answer:

Ms.Jones is faster

Step-by-step explanation:

Answer:

10.9

Step-by-step explanation:

[tex]4.34^{2} - \sqrt{96.1} + 3.51 \div 1.87[/tex]

[tex]= 18.8356 - 9.80306074652 + 1.87700534759[/tex]

[tex]= 10.9095446011[/tex]

[tex]\approx 10.9[/tex] (to 1 sig. fig.)

Hope this helped!

Answer:

10.9

I hope this helps!

Answer:

22 people saw an horror movie

Step-by-step explanation:

Total people who attended the Sunday matinee = 48

People who saw romantic comedy = 3/8 of 48

= 3/8 × 48

= (3*48) / 8

= 144 / 8

= 18 people

People who saw action movie = 1/6 of 48

= 1/6 × 48

= 48/6

= 8 people

People who saw horror movie = x

Total people who attended the Sunday matinee = People who saw romantic comedy + People who saw action movie + People who saw horror movie

48 = 18 + 8 + x

48 = 26 + x

Subtract 26 from both sides

48 - 26 = 26 - 26 + x

22 = x

x = 22 people

22 people saw an horror movie

Answer:

17percent

Hope this helped have an amazing day!

Answer:

640,121

Step-by-step explanation:

Answer:

The estimate is 186.5 seconds.

Step-by-step explanation:

To calculate the estimate of the time the racing car will take to travel 10 miles, we have to first find the ratio of the original distance to the requested distance.

The number of seconds in an hour is [tex]60 \cdot 60[/tex] seconds, which equals to 3600 seconds.

[tex]\frac{193}{10} = \frac{3600}{x}[/tex]

[tex]19.3 = \frac{3600}{x}[/tex]

[tex]x = \frac{3600}{19.3}[/tex]

[tex]x \approx 186.5[/tex]

Hence, the estimate is 186.5 seconds.

Hope this helped!

Answer:

128

Step-by-step explanation:

Top Triangle

Let the base angles of the top triangle = y

y + 102 = 180

y = 78

The vertex

Is found by adding the two base angles together and subtract that from 180

y + y + vertex = 180

78 + 78 + vertex = 180

156 + vertex = 180

vertex = 180 - 156

vertex = 24 degrees

Bottom Triangle

Because the base angles are connected by a vertically opposite angle on the bottom triangle, both base angles are 26

Therefore 26 + 26 + x = 180

52 + x = 180

x = 180 - 52

x = 128

Answer:

6,400-4,700

Step-by-step explanation:

Answer: A) 90.75 ft.

Step-by-step explanation: because if we cut 10 from 100 we will get 90

Answer:

200%

Step-by-step explanation:

if you substitute in numbers you'll find this as the answer.

as an example:

suppose the sides of the rectangle was 1 unit long.

area before change: 1 * 1 = 1

then, the length gets increase by 50% making it 1.5 ( 50% of 1 is 0.5, then you add it onto 1, 1 + 0.5 = 1.5 )

the width gets increased by 100% making it 2 ( 1 + 1 = 2 )

new area: 1.5 * 2 = 3

1 increased by 200% is 3, therefore the answer is 200%

Step-by-step explanation:

decrease value is 1353

value 31,647

Answer:

About 15 minutes

Step-by-step explanation:

It takes her 6 minutes to read 20 pgs. If she reads 20 more pages (which will be 40 now) she will have been reading for 12 minutes. This leaves you with 7 pages left, about 3 or 4 minutes.

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

[tex]A = \frac{1}{2}\cdot n \cdot (n+1)[/tex]

[tex]A = \frac{1}{2}\cdot (n^{2}+n)[/tex]

[tex]A = \frac{n^{2}}{2}+\frac{n}{2}[/tex]

[tex]n^{2}+n = 2\cdot A[/tex]

Where [tex]n[/tex] is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

[tex]n^{2}+n -2\cdot A = 0[/tex] (1)

If we know that [tex]A = 17.5\,cm^{2}[/tex], then the shortest length of the triangle is:

[tex]n_{1} = 5.437\,cm[/tex] and [tex]n_{2} \approx -6.437\,cm[/tex]

Since length is a positive variable, the only possible solution is:

[tex]n\approx 5.437\,cm[/tex]

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Answer:

B

Step-by-step explanation:

The answer is B because it tells you the letter atound triangle.

Answer:

b

Step-by-step explanation:

An equilateral polygon has congruent sides, like a rhombus.

An equiangular polygon has congruent interior angles, like a rectangle.

In other words: Equilateral doesn't necessarily have congruent INTERIOR angles while equiangular does have/need congruent interior angles.

Answer:12 beads

Step-by-step explanation: If she has 48 beads and wants to make 4 bracelets, you will have to divide 48 by 4 which gives you 12

Answer:

There are 3 intervals where Ann is driving a consistent speed

==========================================================

Explanation:

When she drives a consistent speed, this means her speed is the same.

This happens exactly when there are flat portions of the graph. This is because the speed y is not going up or down during these intervals.

The intervals where the graph is flat are mentioned at the top in the answer portion.

Any time the graph goes uphill, from left to right, Ann is increasing her speed. So she is accelerating.

In contrast, any time the graph goes downhill, she is decreasing her speed (or decelerating).

Side note: I'm not including the portion from roughly 4 to 5 minutes because during that time, she is stopped and the car isn't moving.

Answer:

x=35; y=55; z=55

Step-by-step explanation:

x+y=90; z+x=90

z+35=90

z=90-35= 55

x=90-55= 35

y= 90-35 =55

Answer:

[tex]m=\frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 1)

Point (3, -4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Step-by-step explanation:

Only option B shows a proportional relationship (y = 3x).

Answer:

D

Step-by-step explanation:

Y=3x-1 is written as the slope-intercept form y=mx+b don't let the -1 confuse you.

Answer:

Step-by-step explanation:

y -28 = 95

y-28 + 28 = 95 +28

y=123

dummy ;)

Answer:

The answer is D because the letter B is a bit over 3 and 3.14 is pi

Step-by-step explanation: