The angle of elevation from a boat to the top of a lighthouse is 50°.
If the boat is 150 feet from the base of the lighthouse, how tall is the lighthouse?
Round answer to the nearest foot.

Answer: -10x+9

Step-by-step explanation:

1. Remove parantheses:

-2x+10-8x-1

2. Simpify: -2x-8x+10-1 => -10x+9

Have a nice day! :D

Answer:

12

Step-by-step explanation:

Make 6 a reciprocal which would be 1/6 then change the division sign to multiplication so 1/6 x 1/2 will be 12

Answer:

1

Step-by-step explanation:

Given the equation y=1+6x, the y-intercept occurs at x = 0

Substitute

y = 1 + 6(0)

y = 1+0

Y = 1

Hence the y-intercept of the equation is 1

Answer:

It was greater from 2015 to 2016.

Step-by-step explanation:

From 2015 to 2016 it was a 30 person difference

From 2014 to 2017 there was a 5 person difference

Answer:

x=-10

Step-by-step explanation:

2x-8=4x+12

-2x. - 2x

-8=2x+12

-12. - 12

-20 = 2x

-10=x

Answer:

7/18

Step-by-step explanation:

7 students received a score greater than 65, out of a total of 18 students

The probability of picking a student who scored above 65 is 1/3 when one of these students is chosen at random.

To calculate the probability of picking a student who scored above 65, we need to determine the number of students who scored above 65 and divide it by the total number of students.

Looking at the given marks:

46, 65, 54, 57, 62, 73, 73, 47, 69, 48, 63, 68, 55, 48, 58, 71, 76, 70

We can see that the marks above 65 are: 73, 73, 69, 68, 76, 70 (a total of 6 marks).

Now, let's calculate the probability:

Probability = Number of favorable outcomes / Total number of outcomes

Number of favorable outcomes (students who scored above 65) = 6

Total number of outcomes (total number of students) = 18

Probability = 6 / 18

Simplifying the fraction:

Probability = 1 / 3

Therefore, the probability of picking a student who scored above 65 is 1/3.

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The complete question is :

Here are the marks 18 students got in a Maths test: 46, 65, 54, 57, 62, 73, 73, 47, 69, 48, 63, 68, 55, 48, 58, 71, 76, 70. a) Show this information in an ordered stem and leaf diagram: 5 | 4 4 7 8 8 6 | 2 3 5 8 7 | 0 1 3 3 8 | 9 | 6 b) One of these students is chosen at random: What is the probability of picking a student who scored above 65?

Answer:

Hope this helps

Step-by-step explanation:

X= 10 - 0.6y

Y= 15 - 1.5x

Answer:

Step-by-step explanation:

What variable are you solving for?

Answer: a

Step-by-step explanation:

Answer: Yes, No Yes, No

Answer:

Mean = average or the sum of all numbers divided by how many numbers there are.

2 + 2 + 8 + 10 + 15 + 30 + 36 + 40 + 50 + 51 = 244

244/10 = 24.4

Answer:

24.4

Step-by-step explanation:

Add all numbers together To get 244

Then divide by the number of numbers given (10)

244÷10 = 24.4

Answer:

5.4

Step-by-step explanation:

To find the distance between two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], plug them into the following equation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(-3-(-8))^2+(-4-(-6))^2}[/tex]

Two negatives make a positive

[tex]d=\sqrt{(-3+8)^2+(-4+6)^2}\\d=\sqrt{(5)^2+(2)^2}\\d=\sqrt{25+4}\\d=\sqrt{29}\\d=5.4[/tex]

Therefore, the distance between the two points rounded to the nearest tenth is 5.4.

I hope this helps!

Step-by-step explanation:

y=5x-5

y= -4x+22

1- use y=5x-5 solve for y (here you don't really have to do anything)

       This stays the same, Therefore y = 5x-5

2- you will substitute y=5x-5 for y in y= -4x+22. The problem should now look like this:

               5x-5= -4x+22

now, with the equation above you will solve for x-

5x-5= -4x+22         (add 4x to both sides)

9x-5= 22               (add 5 to both sides)

9x=27                   (divide by 9)

x=3

Now that you Know that x=3 you can substitute x=3 for x in y=5x-5. The problem should look like this:

                                                    y= 5(3)-5

Now with the equation above you can solve for y

y= 5(3)-5              (multiply 5 by 3)

y= 15-5                 (subtract)

y=10

Now you have your answers X=3  Y=10

i hope this helps!

Answer:

$3375

Step-by-step explanation:

I=Interest

P=Principal

R=Rate

T=Time

The rule of the simple interest is:

I=PRT

I=22500×0.03×5

I=$3375

Answer:

- 8 / 3

Step-by-step explanation:

-3x= - 1 + 9

-3x = 8

x= - 8/3

Answer:

$21

Step-by-step explanation:

Answer:

10 people can go to the amusement park

Step-by-step explanation:

$175-$12.50 = $162.50

$162.50 divided by $16.25= 10

Answer:

$332.50 is the new discounted price

Step-by-step explanation:

30% of 475

30/100 x $475. 00

= $142.50

$475.00-$142.50=$332.50

and thats the answer

Step-by-step explanation:

Midpoint of Hypotenuse

= [(0 + n)/2, (n + 0)/2]

= (n/2, n/2) or (0.5n, 0.5n).

Answer:

B

Step-by-step explanation:

don't take my word for it

Answer:

20degrees

Step-by-step explanation:

The sum of angle C and D is 180 degrees since they are supplementary

Given

m<C = 140 degrees

m<D = 2x

Taking the sum and equating to 180

140 + 2x = 180

2x = 180-140

2x = 40

x = 40/2

x = 20 degrees

Hence the value of x is 20degrees

Answer:

9

hope it's helpful ❤❤❤❤

THANK YOU

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Answer:

Step-by-step explanation:

Answer:

Each student group received 13 seats.

Step-by-step explanation:

100 - 9 = 91

91 ÷ 7 = 13

Answer:

AB=10

AB=7.2

Step-by-step explanation:

AB= √{(9-1)²+(8-2)²} = √{8²+6²}=√{64+36}=√100 =10

AB= √{(6-2)²+(2-8)²} = √{4²+(-6)²}=√{16+36}=√52 =7.2

The distance between points A(1, 2) and B(9,8) is 10 and the distance between points A(2, 6) and B(8, 2) is 7.2.

A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.

In the first coordinate plane,

The coordinate of point A is (1, 2) and coordinate of point B is (9,8),

To find distance, use distance formula between two points (x₁, y₁) and (x₂, y₂) is [tex]\sqrt{(x_2 - x_1)^2+ (y_2 -y_1)^2)}[/tex]

Thd distance between A(1, 2) and B(9,8),

AB= [tex]\sqrt{{(9-1)^2+(8-2)^2}}[/tex] = [tex]\sqrt{{8^2+6^2}}[/tex]=[tex]\sqrt{{64+36}}[/tex]=[tex]\sqrt{100}[/tex] =10

In the second coordinate plane,

The coordinate of point A is (2, 6) and coordinate of point B is (8, 2),

To find distance, use distance formula between two points (x₁, y₁) and (x₂, y₂) is [tex]\sqrt{(x_2 - x_1)^2+ (y_2 -y_1)^2)}[/tex]

The distance between A(2, 6) and B(8, 2),

AB= [tex]\sqrt{{(8-2)^2+(2-6)^2} }[/tex]= [tex]\sqrt{6^2+(-4)^2}}[/tex]=[tex]\sqrt{{36+16}}[/tex]=[tex]\sqrt{52}[/tex] =7.2

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1. for every 4 APPLES there are 3 ORANGES

2. The ratio of ORANGES, to BANANAS is 1:2 / 3:6

3. The ratio of APPLES to BANANAS is 4 to 6

4. For every 1 orange, there are 2 bananas.

Hope this helped! :))