Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above
sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who
has hooked a fish that is 10 meters below the surface of the water.
a. Use positive and negative numbers to represent the locations in relation to sea level.
Scottie =
Top of the lighthouse =
The boat =
The fish =
meters
b. How far is Scottie from the fish?

Answer:

4

Step-by-step explanation:

COUNT ALL (16) DIVIDE BY 4

Answer: 4

Step-by-step explanation:

Each baseball team has a quantity of baseballs.

To find the mean, add all quantities and divide by how many teams there are.

7 + 2 + 4 + 3 = 16

16 / 4 = 4

Answer:

£25

Step-by-step explanation:

Total price- £53.55

Pair of trainers cost- £38 before discount

Discount= 15%

Cost of pair of trainers after discount:

Price of the watch after discount:

Price of the watch before discount:

Answer:

20

Step-by-step explanation:

K=?

K= x*2= 2x

K= 10*2 = 20

A ten year ago she was 10 and after ten years she is 20, so 20 is twice 10

Answer:

4 days

Step-by-step explanation:

8 people can do the job in 6 days, job is this case is picking apples.

1 person can do same job for 6*8= 48 days

12 people can do same for 48/12= 4 days

Step-by-step explanation:

Let F represent fruitshake and C chocolate milkshake

one fruitshake cost more 2R more than chocolate shake and

3F + 5C = R78,00

Then (78 - 6) ÷ 8 = 9

a fruitshake costs R11,00 and chocolate milkshake costs 9R,00

Answer:

Multiply to find your answer

Step-by-step explanation:

Answer:

AB= 4

Step-by-step explanation:

Big ideas :)

Answer:

Solution,

Hypotenuse(h)=X

Perpendicular (p)=9

Base(b)=12

Now,

Using Pythagoras theorem,

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]

hope this helps...

Good luck on your assignment...

The length of the hypotenuse in the given triangle is A. 15 units.

This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, the base of the triangle is 12 units and the height is 9 units.

∴ x² = 9² + 12².

x² = 144 + 81.

x² = 225.

x = + 15 units.

So, the length of the hypotenuse is 15 units.

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Answer: 65 grams

Step-by-step explanation:

If 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold, that means the percentage of other metals will be;

100 - 85 = 15 %

You should first calculate the amount of gold that makes up this percentage.

That is, 85% of 130 grams.

85/100 × 130 = 110.5

Then, let X be what will be added to the above value to make 90%. So,

(110.5 + X) / ( 130 + X ) × 100 = 90

Divide both sides by 100

(110.5 + X) / ( 130 + X ) = 90/100

(110.5 + X) / ( 130 + X ) = 0.9

Cross multiply and open the bracket

110.5 + X = 117 + 0.9X

Collect the like terms

X - 0.9X = 117 - 110.5

0.1X = 6.5

Divide both sides by 0.1

X = 6.5/0.1

X = 65 grams

Therefore, the amount of pure gold that should be added is 65 grams

Answer:

B. 3(4+5) = 3(4) + 3(5)

Step-by-step explanation:

with distributive property, you multiply the number outside the parentheses to all of the numbers inside.

Answer:

it is B

Step-by-step explanation:

i did the test

Answer:

Solution of the system of equations will be (6, 6).

Step-by-step explanation:

Table for the first equation,

[tex]y=\frac{1}{2}x+3[/tex]

x          0          2         4         6         8      

y          3          4         5         6         7

(x, y) (0, 3)    (2, 4)   (4, 5)    (6, 6)   (8, 7)

We have got the values of y by substituting the values of x in the given equation for the table.

Similarly, for the other equation,

y = 2x - 6

x           0          2         4           6           8

y          -6         -2         2           6          10  

(x, y)  (0, -6)   (2, -2)  (4, 2)   (6, 6)    (8, 10)

By analyzing both the tables we find (6, 6) is a common point in both the tables.

That represents the points of intersection of both the lines.

Therefore, solution of the system of equations will be (6, 6)

Answer:

$400

Step-by-step explanation:

Seeing as VAT adds to the original price we needed to go DOWN in value to find the original price. So all I did was go through trial and error and I went and saw what 20% of number like 450 and 420 were and then I added them to the price to see if it would get to £480. So when I checked 20 percent of 400 I got 80 which added to 400 gives the market price of £480.

Answer:

W=2.615

Step-by-step explanation:

9w-36-7w=15w-2

2w-36=15w-2

15w-2w=-36+2

13w=34

w=34/13

W=2.615

Answer:

Please mark me brainliest and I hope this helped!

w = 89°

Step-by-step explanation:

For this triangle, we have to get the supplementary angle of 122°. 180° - 122° is 58°. We then take 58° and add it to 33°. That is 91°. To find w, we subtract 91° from 180°. That gives us 89°.

Answer:

89

Step-by-step explanation: I took the test

Answer:

27

Step-by-step explanation:

[tex]6(3+4)-5(1+2)= \\\\6(7)-5(3)= \\\\42-15= \\\\27[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

6(3+4)-5(1+2)=

6(7)-5(3)=

42-15=

27

Answer:

The amount of energy it takes to lift a box might be a function of the weight of the objects inside the box. Work is proportional to force and distance. The force of the box is the weight itself of the box. Hence the answer to this problem is B.

Step-by-step explanation:

Answer :

x = 2

y = -1

I hope it helps

Answer:

39 books

Step-by-step explanation:

Solve the equation in order of PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)

2(16) + 7

Multiply 2(16) first.

2(16) = 32

Then add 7.

32 + 7 = 39

Answer:

D) Centroid

Step-by-step explanation:

DB,AG and CE are medians of the triangle and when they intersect at one point, their point of concurrency is called centroid.

Answer: D (Centeriod)

Step-by-step explanation:

Because point H is in the center of the triangle, and the centeroid is located in the center of the triangle

Answer:

12

Step-by-step explanation:

The area of a rectangle is l × w.

x × 11/3 = 44

x = 44 × 3/11

x = 12

Answer:

11 people are in each squad.

Step-by-step explanation:

A battalion of 880 people is made up 4 companies.

880/4 = 220 people

which means 1 company is made up of 220 people.

Each company is made up of 5 platoons.

220/5 = 44

which means each platoon is made up of 44 people

Each platoon contains 4 squads

44/4=11

which means each squad contains 11 people.

therefore each squad contains 11 people.

Answer:

do we have opitions

Step-by-step explanation:

The result of dividing (3x³ + 2x² + 10) by (x - 3) is 3x² + 11x + 33 with a remainder of 109.

dividing (3x³ + 2x² + 10) by (x - 3) using long division

               3x² + 11x + 33

              _______________________

x - 3  |   3x³ + 2x² + 0x + 10

              -(3x³ - 9x²)

            _______________________

                      11x² + 0x + 10

                      -(11x² - 33x)

                   _______________________

                               33x + 10

                               -(33x - 99)

                            _______________________

                                         109

The result of dividing (3x³ + 2x² + 10) by (x - 3) is 3x² + 11x + 33 with a remainder of 109.

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Answer:

1/3

Step-by-step explanation:

Answer:

2y° + x° + y° + 2x° + (180-33)° = 360°

3x + 3y + 147 = 360

3(x+y) = 360 - 147

3(x+y) = 213

x+y = 71

2y + 2x + K = 180

2(x+y) + K = 180

2 *71 + K = 180

142 + K = 180

K = 38°

the last one

Answer a on edge

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: letter D five divided by twelve

Answer:

x > -3

Step-by-step explanation:

-3x - 3 < 6

Add 3 to each side

-3x - 3+3 < 6+3

-3x < 9

Divide by -3 remembering to flip the inequality

-3x/-3 > 9/-3

x > -3

Answer:

Step-by-step explanation:

angle pair for vertical angles is called straight angle....

the joining between two pages of a book is a vertical angle....

the road itself is a vertical angle

Answer:false

Step-by-step explanation:

(-7)^2

(-7)*(-7)

49

49 is a positive number

Answer:

It is false

Step-by-step explanation:

It is false because if you have two groups of negatives, it is positive. (-7)^2 is the same as -7x-7. Two negatives equal a positive, so the answer should be 49. 49 is positive so it is false.

Answer:

n = 18 cycles

Step-by-step explanation:

To know how many times does the current oscillates in the given time, you take into account that the number of oscillation can be calculated by using the following expression:

[tex]n=ft[/tex]         (1)

f: frequency of the oscillation of the current

t: time = 0.30s

The frequency is the number of cycles per second, that is, f = 60 cycles/s

You replace the values of f and t in the equation (1):

[tex]n=(60\frac{cycles}{s})(0.30s)=18\ cycles[/tex]

In 0.30s the current oscillates 18 times

Answer:

B. 13

Step-by-step explanation:

[tex]10+(\frac{1}{2}) ^{4} *48=\\\\10+\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*48=\\\\10+\frac{1}{16}*48=\\\\10+\frac{48}{16}=\\\\10+3=\\\\13[/tex]

Answer:

Step-by-step explanation:

First, use PEMDAS

Parenthesis, Exponents, multiplication, division, addition, subtraction

1/2 * 1/2 * 1/2 * 1/2 = 1/16 = Parenthesis and Exponents

1/16*48 = 48/16 = 3 = Multiplication and Division

3+10 = 13 = Addition

This can conclude that 13 is the answer.

Answer:

√40 ≈ 6.32

√75 ≈ 8.66

√90 ≈ 9.49

√245 ≈ 15.65

√450 ≈ 21.21

√640 ≈ 25.30

√675 ≈ 25.98

Step-by-step explanation:

You can use your calc or estimate your answer by simplifying (like √640 is 8√10, and estimate the square root of 10). However, getting decimals will require you to use a calc.