1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ser-zykov [4K]
3 years ago
9

A jogger running around a rectangular park takes a shortcut back to her car by jogging from one corner of the park to the diagon

ally opposite corner. If the park is 33 meters by 44 meters, how far is the shortcut?
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer:the short cut is 55 meters.

Step-by-step explanation:

The park around which the jogger jogged is rectangular in shape. The Short cut that the jogger jogged through to her car is the diagonal of the rectangle. The diagonal becomes the hypotenuse of the rectangle. The sides of the field becomes the opposite side and adjacent side of the triangle. To determine the length of the diagonal, we would apply Pythagoras theorem. It is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Hypotenuse^2 = 44^2 + 33^2 = 3025

Hypotenuse = √3025

Hypotenuse = 55 meters

You might be interested in
Compare the monthly payments and total loan costs for the following pairs of loan options. Assume that both loans are fixed rate
sertanlavr [38]

The monthly payment for option 1 is $1755.144 and option 2 is $2088.97, total amount for option 1 is $631851.84 and option 2 is $376014.6, and on comparing option 2 will be better option.

Given that for $200,000 loan Option 1 is a 30-year loan at an APR of 10% Option 2 is a 15-year loan at an APR of 9.5%.

A concept that implies that the future value of money will be lower than its present value due to several factors such as inflation is known as TVM(time of value money).

Monthly Payments

Option 1

Loan Amount = $200,000

Number of payments = 30×12 = 360

Monthly interest rate = 10%/12 = 0.008333333

Monthly payment = Loan amount (1+ monthly interest rate)ⁿ×monthly interest rate/[(1+monthly interest rate)ⁿ- 1]

Monthly payment=200,000×(1+0.008333333)³⁶⁰×(0.008333333)/[(1+0.008333333)³⁶⁰-1]

Monthly payment=33062.328/18.83739

Monthly payment=$1755.144

Option 2

Loan Amount = $200,000

Number of payments = 15 x 12=180

Monthly interest rate = 9.5%/12=0.00792

Monthly payment = 200,000(1+0.00792)¹⁸⁰(0.00792)/[(1+0.00792)¹⁸⁰-1]

Monthly payment=6553.096/3.137

Monthly payment=$2088.97

Total Payments

Option 1

As we've found out the monthly payments, we now need to multiply it by the number of months.

$1755.144×360 = $631851.84

Option 2

$2088.97×180 = $376014.6

Conclusion

Option 2 will always be the better option economically as it saves $255837.24 ($631851.84 - $376014.6) in total payments.

Hence, For $200,000 loan Option 1 a 30-year loan at an APR of 10% Option 2 a 15-year loan at an APR of 9.5% is the monthly payment for option 1 is $1755.144 and option 2 is $2088.97, total amount for option 1 is $631851.84 and option 2 is $376014.6, and on comparing option 2 will be the better option.

Learn more about monthly cost from here brainly.com/question/1476828.

#SPJ1

5 0
2 years ago
Please help with this question. The length of a jogging trail is 3528 m. A jogger wants to complete the trail within 30 min.
dimulka [17.4K]
I'm confused, the answers are larger than the trail?
8 0
3 years ago
Read 2 more answers
Camilla's employer pays 90% of the total cost of her family's health insurance
Irina-Kira [14]

Answer:

B. $10

Step-by-step explanation:

Camila's employer pays 90% of the total cost of her family's health insurance

plan

Therefore, Camilla pays only 10%

If the total cost of the plan increases from $850 per month to $950 per month, how much more will Camilla have to pay

each month?

Amount of health insurance Camilla pays at $850 per month = 10% of $850

= 0.1 * $850

= $85

Amount of health insurance Camilla pays at $950 per month = 10% of $950

= 0.1 * $950

= $95

Amount Camilla pays more = $95 - $85

= $10

B. $10

8 0
3 years ago
Let f(x)=-2-7 and g(x)= -4x+6. Find (f*g)(-5)
Masja [62]
If (-5) = x then the anwser should be
-234

5 0
3 years ago
Please help me! study island
ANEK [815]

Answer:

B. 5/6

Step-by-step explanation:

\frac{1}{3} ÷ \frac{2}{5} = 0.83333333

0.83333333 ≈ \frac{5}{6}

Hope this helps :)

3 0
2 years ago
Other questions:
  • Round $8.597 to the nearest cent<br> $8.60<br> $8.59<br> $8.69<br> $8.50
    12·1 answer
  • HELLPPPPPP -9(x +3) =27<br> -9x + (?) =27 WILL GET BRAINLYIST
    12·1 answer
  • A town's population is currently 500. If the population doubles every 23 years, what will the
    5·1 answer
  • Find the missing length to the attached triangle.
    14·2 answers
  • Whats the slope that passes through (−1,−3) and (−2, 2) ?
    11·1 answer
  • How to convert to vertex form
    8·1 answer
  • Which equation could be used to determine the area of a square that has a side length of 5 ft?
    12·2 answers
  • Amplitude of h(x)=-4sin(2x-7)+3
    11·1 answer
  • Jenny makes food for her hummingbird feeders
    11·1 answer
  • Which equation is represented by the phrase a number increased by 3 equals 10 ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!