The park is 6 mi due east of Freeport High School, and the library is 4 mi due west of the school. The police department is located due north of the school and is 5 mi from the library.How far is the police department from the park? Round to the nearest tenth of a mile.

blank mi

Answers

Answer 1

Answer: The answer is 6.7 mi.

Since the right triangle is present, to calculate this we will use the Pythagorean theorem. According to the Pythagorean theorem, the square of the hypotenuse (c²) is equal to the sum of the squares of two other sides (a² + b²):
c² = a² + b²

First, we need to express symbols:
b - side of the right triangle (distance between police department and Freeport High School).
a1 - side of the first right triangle (distance between library and Freeport High School).
a2 - side of the second right triangle (distance between park and Freeport High School).
c1 - hypotenuse of the first triangle (distance between police department and library).
c2 - hypotenuse of the second triangle (distance between police department and park).

Therefore, we need to calculate c2.
It is given:
a2 = 6 mi
a1 = 4 mi
c1 = 5 mi

First, let's calculate b, which is a common side for two triangles:
c1² = a1² + b²
b² = c1² - a1²
b² = 5² - 4²
b² = 25 - 16
b² = 9
√b² = √9
b = 3.

We know b, now we can calculate c2:
c2² = a2² + b²
c2² = 6² + 3²
c2² = 36 + 9
c2² = 45
√c2² = √45
c2 = 6.7

The distance between police department and park is 6.7 miles.

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Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference of the two grades is 16. The sum of one-eighth of the higher grade and one-half of the lower grade is 52. The system that represents his scores is below.. . x – y = 16. . x + y = 52. . What is the higher grade of Jose’s two tests?. . 48.
52.
80.
96

Answers

x - y = 16
1/8 x + 1/2 y = 52 / * 2 ( multiply both sides by 2 )
-------------------------
x - y = 16
+
1/4 x + y = 104
----------------------
1.25 x = 120
x = 120 : 1.25
x = 96
Answer: D ) 96

your answer sould be the last option (D) 96

The population of rabbits doubles every 3 months. If there were initially 150 at the bunny farm, how many will there be after 3 years?

Answers

First you need to find how many months there are in 3 years. You multiply 3 by 12 to find out how many months there are(there are 12 months in a year) 3*12 = 36. Next you need to find out how many times the population doubles. You can do this by dividing the total amount of months by 3(36/3=12). You can then multiply the starting population by 2 to the amount of times you double (150*( $2^(12)$ )). Giving you an answer of 49152.

James works as a waiter. He served meals with bills of $23.59, $40.65, $30.50, and $15.68. If his total for tips was $17.67, what percent tip did he receive for serving these meals? Round your answer to the nearest percent?

Answers

1. James works as a waiter.
He served food with the following price
=> 23.59 dollars
=> 40.65 dollars
=> 30.50 dollars
=> 15.68 dollars
Let’s add this altogether:
=> 23.59 + 40.65 + 30.50 + 15.68
=> 110.42 the total of the ordered food.
Now, James received a tip of 17.67 dollars. Find the interest rate of his tip.
=> 110.42 * .50 = 55.21, thus the interest rate of tip is less than 50%
=> You can do trial and error to get the correct rate,
=> 110.42 * .16 = 17.67, thus he received 16% tip

Answer:

16% percent would be the answer if you have plato Your welcome plato users.=)

Step-by-step explanation:

1. What is the equation of the line that goes through the point and is parallel to the line represented by the equation below?y=-5/6x+3

A. y=-5/6x+4
B. y=-5/6x-6
C. y=-5/6x-4
D. y=-5/6x+6

Which equation produces a line that is perpendicular to the line represented by the function below?
y=2/5x+9

A. 5x+2y=4
B. 2x-5y=8
C. 5x+2y=-3
D.2x+5y=-7

What is the slope of the line that is parallel to the line represented by the equation below?
4x-5y+-1

A 4/5
B -4/5
C 5/4
D -5/4

Answers

Answer:

1. Missing the point - unanswerable

2. A and C

3. A

Step-by-step explanation:

Recall the slope of a line is parallel if the same slope and perpendicular if it is the negative reciprocal.

For number 1, each equation has the same slope as the function and will be parallel. Without the point, you cannot determine which one.

For number 2, find an equation that has slope -5/2. Both A and C have this property when converted to slope intercept form.

5x+2y=4 5x+2y = -3

2y=4-5x 2y= -3-5x

y=2-5/2 x y=-3/2 -5/2 x

For number 3, the slope will be the same as the equation for parallel. Convert the equation 4x-5y=-1 to find the slope.

4x-5y=-1

-5y = -1-4x

y=1/5 + 4/5 x

A is the solution.

HELP ME PLZZ I NEED HELP WITH THIS !!

Answers

Answer:

I think it is A but i might be wrong.

Step-by-step explanation:

I feel this is a matter of opinion.

Answer:

i think its letter B.

I hope I help you

Reuben is making a replica of the US flag for his school project.He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width is 4.75 centimeters.
The perimeter of the scale drawing is 7.25 or 11.875 or 14.5 or 47.5 centimeters.
The perimeter of the actual flag is 14.5 or 29 or 47.5 or 95 inches.

Answers

Given:
U.S Flag - rectangle in shape
scale of 0.5 cm = 1 in
length of the scale 2.5 cm
width of the scale 4.75 cm

perimeter of the scale = 2(L+W) = 2(2.5+4.75) = 2(7.25) = 14.5cm

perimeter of the actual flag is:
14.5cm * 1in/0.5cm = 29 inches.

Answer:

Step-by-step explanation:

The first would be 14.5 centimeters

The second would be 29 inches

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