on a map where each unit represent one kilometer, two marainas are located at p(4,2) and Q(8,12). if a boat travels in a straight line from one marina to the other, how far does the boat travel?

Answer:

42°

Step-by-step explanation:

8 is the opposite

12 is the hypotenuse

We know from SOHCAHTOA to use sine

Since we are looking for the angle, we use sin^-1

sin^-1(opposite/hypotenuse)=x

sin^-1(8/12)=x

Input into calculator

x=42°

Step-by-step explanation:

we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the the side and related angle are always opposite to each other.

so,

12/sin(90) = 8/sin(x)

12/1 = 8/sin(x)

12 = 8/sin(x)

3 = 2/sin(x)

sin(x) = 2/3

x = 41.8103149...° ≈ 41.8°

Answer:

3

Step-by-step explanation:

3/5 kg of clay are divided into 1/5 a kilogram, so how many times is 1/5 in 3/5?

equation is

[tex]=\frac{3}{5} /\frac{1}{5}\\\\=\frac{3}{5}*\frac{5}{1} \\\\=\frac{15}{5} \\=3[/tex]

Answer:

3√2

Step-by-step explanation:

First, combine all the numbers in the square root, and then square root the number provided:

√(3 + 3 + 3 + 3 + 3 + 3) = √18

When square rooting, first, find prime factors of the number, 18. If there are pairs, they will be combined into a whole number:

√18 = √(3 * 3 * 2) = 3√2

3√2 is your answer.

~

Answer: $14.9/hr

Step-by-step explanation: you divide $350.15 by 23.5hr to get how much she makes an hour

Answer:

5/3 or 1 2/3

Step-by-step explanation:

when you multiply fractions, you must 'multiply by the reciprocal'

you keep the first fraction the same, then you change the operation to multiplication, and finally you flip the second fraction so the denominator becomes the numerator and vice versa

5/6 ÷ 1/2 is the same as 5/6 × 2/1 = 10/6

always reduced to lowest terms when you can . . .

10/6 equals 5/3

Answer:

1.6667 as a decimal

Step-by-step explanation:

Hope this helps! Have a great rest of your day!

Answer:

-7.5 %

Step-by-step explanation:

Percent change can be calculated as

(change)/(original number) * 100, with the * 100 representing a change from decimal (which is what we get from dividing) to percent.

Here, change is (final - original) = 37000-40000 = -3000. Divide this by the original number, 40000, to get -3000/40000 = -0.075. Multiply this by 100 to get -7.5 % as our answer

Answer:

B

Step-by-step explanation:

Answer:

Your answer would be C

Step-by-step explanation:

Because its a ratio of integers with a nonzero denominator.

x² - 4x = 12

x² - 4x - 12 = 0

x² + (2x - 6x) - 12 = 0

x² + 2x - 6x - 12 = 0

x (x + 2) - 6 (x + 2) = 0

(x - 6) (x + 2) = 0

Then the solutions are x = 6 or x = -2.

The probability that a randomly selected Riverside High School student is in twelfth grade is 0.4 and it can be determined by using probability.

The two-way table shows the estimated number of students who will enroll in three area high schools next year.

A 5-column table has 4 rows.

The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.

The second column is labeled Tenth grade with entries 110, 180, 160, 450.

The third column is labeled Eleventh grade with entries 120, 150, 140, 410.

The fourth column is labeled Twelfth grade with entries 80, 120, 200, 400.

The fifth column is labeled Total with entries 310, 450, 500, 1,260.

What is the probability that a randomly selected Riverside High School student is in twelfth grade?

The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.

The number of randomly selected Riverside High School students is in twelfth grade = 200,

And Total number of students in Riverside High School is = 500

Therefore,

The probability that a randomly selected Riverside High School student is in twelfth grade is,

[tex]\rm P(12th \ grade \students ) = \dfrac{Number \ of \ students \ in \ 12th \ grade }{Total\ number \ of \ students}\\\\ P(12th \ grade \students ) = \dfrac{200}{500}\\\\ P(12th \ grade \students )= 0.4[/tex]

Hence, The required probability that a randomly selected Riverside High School student is in twelfth grade is 0.4.

For more details about Probability refer to the link given below.

https://brainly.com/question/795909

Answer:

C

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

negative times a negative equals a positive

Answer:

a) 2x+4

b)x=8

Step-by-step explanation:

a) x+x+4 =2x +4

b) 2x+4= 20

2x = 16

x=8

Jay bought 8 packets of Chips

c) Jay: 8 x 60

=£4,80

Lauren : 12 × 60

= £7,2

Answer:

9485735

Step-by-step explanation:

Answer:

y= 32

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

n=19

d=12

$225n+$250d=

$225(19)+$250(12)=

4275+3000

=7275

Step-by-step explanation:

Answer:

17.85 answer

Step-by-step explanation:

u add the following and the ans u get u take it away from 25

The inequality representing the given statement is 25 ≥ 7.5 + 0.35 x and Aliana can travel a total of 50 miles.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile,

Aliana has at most $25 to spend on the cab ride,

Write the equation as shown below,

The total charges of the taxi = flat rate + rate per mile × number of mile

The total charges of the taxi = 7.5 + x × 0.35

Here, x is the number of miles

The total charge should be equal to $25 or less than $25 then,

25 ≥ 7.5 + 0.35x

Solve for x

0.35x = 25 - 7.5

x = 17.5 / 0.35

x = 50 miles

Thus, she can travel a total of 50 miles.

To know more about inequality:

https://brainly.com/question/2038369

#SPJ6

Answer:

the answer is

Step-by-step explanation:

-7u⁶y²-5u³+3uy²

that is the correct answer trust me

Answer:

20*2.5=50

50*0.75=37.5

Hope This Helps!!!

Answer:270

Step-by-step explanation:

Answer:

[tex]f(-\frac{x}{2})=-2x+1[/tex]

Step-by-step explanation:

[tex]f(x)=-4x+1[/tex]

[tex]f(-\frac{x}{2})=-4(\frac{x}{2})+1[/tex]

[tex]f(-\frac{x}{2})=-2x+1[/tex]

Answer:

Domain: (0,3)

Range: (0,1)

Step-by-step explanation:

Domain is the interval of the x-axis of the graphed function

Range is the interval of the y-axis of the graphed function

Answer:

The sum of 7/13 and 11/26 is 25/26.

Step-by-step explanation:

7/13 + 11/26

The common denominator is 26

7/13 *2/2 +11/26

14/26 + 11/26

25/26

Answer:

x = 14

Step-by-step explanation:

1. We know that all angle measures in a triangle sum to 180 degrees.

2. (Solving)

Step 1: Combine like terms.

Step 2: Add 16 to both sides.

Step 3: Divide both sides by 14.

Step 2: Check if solution is correct.

Therefore, the answer is x = 14.

Answer:

112

Step-by-step explanation:

Answer:

ABE

Step-by-step explanation:

Perpendicular means the slope of the line and the answer are reciprocal to each other.

The slope of the line is -1/2, which means the slope of the answer should be 2.

From A we got: y=2x-1

B:y=2x

C:y=-2x+1

D:y=-1/2x-2

E:y=2x-3

So the answer is ABE

Answer:Its probably c

Step-by-step explanation:

Answer:

Future Farmers of America

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

17 minutes

hope this helps!