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Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top. When the two boats and the lighthouse are collinear, the boats are exactly 250 feet apart and the boat closest to the lighthouse has an angle of elevation to the top of the lighthouse of 15°, as shown.

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What is the value of x, rounded to the nearest hundredth?

Answer:

[tex]ST=3[/tex], [tex]VT=10[/tex], [tex]m[/tex]∠[tex]V=48[/tex]°, [tex]m[/tex]∠[tex]T=132[/tex]°

Step-by-step explanation:

In a parallelogram, opposite sides are congruent and therefore have the same length. Thus, [tex]ST=RV=3[/tex] and [tex]VT=RS=10[/tex].

Similarly, opposite angles in a parallelogram are congruent and therefore have the same measure. Thus, [tex]m[/tex]∠[tex]V=m[/tex]∠[tex]S=48[/tex]° and [tex]m[/tex]∠[tex]T=m[/tex]∠[tex]R=132[/tex]°. Hope this helps!

Answer:

(-2, -3)

Step-by-step explanation:

y=2x + 1

y= 0.5x - 2

2x+1= 0.5x -2

1.5x= -3

x= -2

y= 2x+ 1

y= 2(-2)+1

y= -3

The solution is (-2,-3)

The solution to the set of simultaneous equations is; (-2, -3)

We are given the equations;

y = 2x + 1   ---(eq 1)

y = 0.5x - 2   ---(eq 2)

subtract eq 2 from eq 1 to get;

0 = 2x - 0.5x + 1 - (-2)

0 = 1.5x + 3

x = -3/1.5

x = -2

Thus;

y = 2(-2) + 1

y = -4 + 1

y = -3

Read more at; https://brainly.com/question/12647791

Step-by-step explanation:

Let xy = k, where k is the constant of variation.

By using values of x and y in the table,

we see that (2)(48) = (4)(24) = (12)(8) = 96.

Hence k = 96, which is our answer.

Answer:

Which picture?

Step-by-step explanation:

Also I am guessing false but I don't see the picture

Answer:

i belive the first up 3 un its and the second is 5

Step-by-step explanation:i think i had this  on a test question if wrong pls tell me will help through it

Answer:

Yes it is linear because the line is straight and constantly declining.

Step-by-step explanation:

Answer:

Yes it is linear

Step-by-step explanation:

Basically the same thing the other one said lol. good luck!

Answer:

It is very useful because now, we use Diagrams and labels.

Step-by-step explanation:

Answer:

let me see

Step-by-step explanation:

Answer:

Step-by-step explanation:

Below are the steps to follow to find the slope of any line.

First you need to pick two points. I chose (2,24) and (4,48). (It does not mater what points you chose.)

Now follow the equation

Slope (m) = ΔY/ΔX

ΔY = 48 – 24 = 24

ΔX = 4 – 2 = 2

24/2 = 12

Then no mater what points you chose, 12 should be your final answer

Answer:

he could have been thinking of 1/2 + 1/2 or 4/8 + 4/8 or maybe 5/10 + 5/10

because 2/2=1 and so does 8/8 and 10/10

Step-by-step explanation:

Answer:

c 8x+3 all you do is multiply 4 and 2 to get 8 and add an x

Answer:

4th answer

Step-by-step explanation:

Im a genius

Answer:

B.

Step-by-step explanation:

Hope this helps

500,000 creo yo no sé puede ser

Answer:

- 1

Step-by-step explanation:

Multiplying a negative quantity by a negative quantity results in a positive.

Also multiplying by 1 leaves the other value as is, then

- 1 × - [tex]\frac{7}{11}[/tex] = [tex]\frac{7}{11}[/tex]

Answer:

4 times larger

Step-by-step explanation:

3² = 9

(3+3)² = 36

36 is four times larger than 9

Answer:

I would say the answer is $5.00/lb

Have a wonderful day!

Answer:

There's a rotation in our schedule if things we do everyday.

Step-by-step explanation:

Hope this helps :D

Answer:

Was 5 miles east oft car A

Answer:

triangle b and triangle d

Step-by-step explanation:

3^2+4^2=5^2

2+4=6

Answer:

Triangle b- 3,4,5

5²=3²+4²

Triangle d- √2,√4√6

(√6)²=(√2)²+(√4)²

A = 22 x 60 = 1320

B = 60 x 60 = 3600

Hope this helps. I'm not smart ;w;

Answer:

1 week

Step-by-step explanation:

100 soldiers / 100 dozen = 1 soldier / 1 dozen

400 soldiers / 400 dozen = 1 soldier / 1 dozen

Therefore, it also takes a week for 400 soldiers to eat 400 dozen rations

Answer:

1.6 Seconds

Step-by-step explanation:

The equation would be h(t)=-16t^2+20t+8 since 20 is the velocity, and once you input that onto a graph the answer of when it hits the ground is 1.569 seconds, so rounded is 1.6 seconds.

Answer:

9 Miles

Step-by-step explanation:

Distance = Speed×Time

12× (45/60)

The exact perimeter of the quadrilateral ABCD plotted is 5 + √85 + 2√65.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The perimeter of the quadrilateral ABCD is plotted. These are the points:

A(-5,-2)

B(1,5)

C(5,-2)

D(2,-6)

The distance of AB

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(1-(-5))^2 + (5-(-2))^2} \: \rm units.\\\\D = \sqrt{85}[/tex]

The distance of BC

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(5-(1))^2 + (-2-(5))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]

The distance of CD

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = \sqrt{65}[/tex]

The distance of AD

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\\\\D = \sqrt{(2-(-5))^2 + (-6-(-2))^2} \: \rm units.\\\\D = 5[/tex]

Therefore, The perimeter of the quadrilateral ABCD is 5 + √85 + 2√65.

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ2

[tex]\huge\boxed{\ x=13/10 } :)[/tex]

My steps:

First thing we do is: Rearrange terms

Second thing we do is: Distribute

Third thing we do is : Subtract  15 from both sides of the equation

Then you carry on and find solution:

Hope this help's!

Answer:

YOUR QUESTION IS NOT COMPLETE WITHOUT MENTIONING ANY FOLLOWING NUMBERS WE CANNOT FIND THE CIRCUMFERENCE OR diameter,radius....

Answers:

x = 6 and P = 128

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Explanation:

The tangents CT and CU are equal to each other. The rule is that tangent segments that meet at a common point are the same length.

Let's solve for x

CT = CU

3x = 18

x = 18/3

x = 6

Because CT = 18, this makes BC = BT+TC = 12+18 = 30

---------------------------

For similar reasoning as mentioned earlier, we can say tangents BT and BV are the same length. This means BV = 12.

Segment CD = 52 and CU = 18, which makes UD = CD-CU = 52-18 = 34

From there, we can say segment DV = 34 also. This leads to BD = BV+VD = 12+34 = 46

Triangle BCD has the three sides

The perimeter is

P = sum of the three sides

P = (side1)+(side2)+(side3)

P = BC + CD + BD

P = 30+52+46

P = 82+46

P = 128

Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x  = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

[tex]\frac{5-r}{6}=\frac{2}{3}[/tex]

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

[tex]5 - r = 4[/tex]

subtract 5 from both sides

[tex]-r=-1[/tex]

multiply both sides by -1

[tex]r=1[/tex]

Answer:

A. 6 feet

B. 38 feet of fencing total

Step-by-step explanation:

a. We are given 78 square feet as the total area that the fence encloses. Given this, we can use the A=l*w to solve for the side lengths.

A=l*w

Plug in known variables and simplify...

Step 1: Subtract 78 from both sides.

x^2+7x−78=78−78

x^2+7x−78=0

Step 2: Factor left side of equation.

(x−6)(x+13)=0

Step 3: Set factors equal to 0.

x−6=0 or x+13=0

x=6 or x=−13

For this case we will need to use the positive value.

so to check the answer, we can plug in 6 for x and check if it will equal 78.

(6+7)(6)

13*6

78

b. now given the value of x, we need to solve for the total amount of fencing by finding the perimeter.

We already know that one side is 6+7 or 13, and the other side is 6, so to find perimeter we use the formula 2l+2w

and solve...

2*13+2*6

26+12

38