![cw1242605](/avatars/17714.jpg)
cw1242605
24.07.2019 •
Mathematics
What is the probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller 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.
Solved
Show answers
More tips
- H Health and Medicine How to Tan in a Tanning Bed? Tips and Recommendations...
- W Work and Career What is the Most In-Demand Profession in the Modern World?...
- A Auto and Moto How Can Parking Sensors Help Drivers?...
- H Health and Medicine What is the Normal Blood Sugar Level in a Healthy Person?...
- F Food and Cooking Red Caviar: How to Choose the Best?...
- C Computers and Internet Clearing Cache: How to Speed Up Your Browser...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking Everything You Need to Know About Pasta...
Answers on questions: Mathematics
- M Mathematics If the vertex angle of an isosceles triangle measures 86° what is the angle measure of one of the base angles?...
- M Mathematics Iwanna know what 6x times 2 would be...
- M Mathematics The diameter of a circle is 10cm.Find the circumference in terms of pi...
- M Mathematics Rewrite the equation x^2 + 28x+ 193.5 = 0 in the form (x-p)^2 = q...
- C Chemistry Calculate the mass % of na in sodium dihydrogen phosphate heptahydrate....
- M Mathematics 1/4k + 17 = 1 (solve for the unknown variable)...
- H History Please help me. Which phrase best completes the diagram? Methods Used By Interest Groups To Influence Government...
Ответ:
Step-by-step explanation:
The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square is equal to the ratio of the area of interest to the total area:
P(inside larger square and outside smaller square) = area of interest / total area
P(inside larger square and outside smaller square) = area inside the larger square and outside the smaller square / area of the larger square
Calculations:
1. Area inside the larger square: side² = (10 cm)² = 100 cm²
2. Area inside the smaller square = side² = (7cm)² = 49 cm²
3. Area inside the larger square and outside the smaller square
100 cm² - 49 cm² = 51 cm²4. P (inside larger square and outside smaller squere)
51 cm² / 100 cm² = 51/100Ответ:
4/5 = x/8
5x = 32
x = 32/5
x = 6.4