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
makvit [3.9K]
3 years ago
15

What is the probability that a point chosen at random in the given figure will be inside the larger square and outside the small

er square? Enter your answer, as a fraction in simplest form, in the box. P(inside larger square and outside smaller square) = $\text{Basic}$ $x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$ $x\frac{ }{ }$ $x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$ A square with a side length of 7 centimeters is within a larger square with a side length of 10 centimeters. The sides of the inner square do not touch the sides of the outer square.
Mathematics
1 answer:
liraira [26]3 years ago
5 0

Answer:

  • 51/100

Step-by-step explanation:

<em>The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square</em> is equal to the ratio of the area of interest to the total area:

<em>P(inside larger square and outside smaller square)</em> = area of interest / total area

<em>P(inside larger square and outside smaller square)</em> = area inside the larger square and outside the smaller square / area of the larger square

<u>Calculations:</u>

<u />

1. <u>Area inside the larger square</u>: side² = (10 cm)² = 100 cm²

2. <u>Area inside the smaller square </u>= side² = (7cm)² = 49 cm²

3. <u>Area inside the larger square and outside the smaller square</u>

  • 100 cm² - 49 cm² = 51 cm²

4.<u> P (inside larger square and outside smaller squere)</u>

  • 51 cm² / 100 cm² = 51/100
You might be interested in
A company plans to scale it's logo and place it on a billboard so that drivers and pedestrians can see it easily from the ground
Maksim231197 [3]

Answer:

enlargement and the scale factor is 6.4 feet per inch

Step-by-step explanation:

6 0
3 years ago
Margo borrows $600, agreeing to pay it back with 4% annual interest after 18 months. How much interest will she pay?
Nastasia [14]
To find the simple interest, we multiply 600 × 0.04 × 1.5 to get that:

The interest is: $36.00
3 0
3 years ago
Solve for x The value of x is
Varvara68 [4.7K]

Answer:

7x+19 = 11x-89

-19. -19

7x= 11x-108

-11x -11x

-4x=-108

x=27

8 0
3 years ago
What percentage is equal to the fraction 4 over 25?
Vikki [24]
4/25 = 0.16. 0.16 is equal to 16%
5 0
3 years ago
Sara drives 425 miles in 6 hours and 45 minutes. What is her average rate of speed? Round your answer to the nearest whole numbe
Lady bird [3.3K]
I hope this helps you

4 0
3 years ago
Other questions:
  • A radius of a circle is perpendicular to a chord if and only if it ________
    5·2 answers
  • HELP PLEASE: 40 POINTS
    9·2 answers
  • Select an appropriate display for each situation. Justify your reasoning.
    9·1 answer
  • Elias’s teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale
    14·2 answers
  • How to simplify the fraction 9 50
    10·1 answer
  • What is g(x)? <br> o<br> o<br> o<br> o<br> o
    8·2 answers
  • Find the value of each variable
    7·2 answers
  • ANSWER PLEASE!!!!! ASAP!!! THANKS!!
    9·1 answer
  • Which polynomial is prime?<br><br> x2 – 36<br> x2 + 16<br> x2 – 7x + 12<br> x2 – x – 20
    13·2 answers
  • Please Help!! 8th Grade
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!