Answer:
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
Answer:
hemisphere.
Step-by-step explanation:
it is a hemisphere with radius=5 units.
or hemisphere with diameter=10 units
Answer:
A) 420 seconds = 7 minutes
B) 8 times
Step-by-step explanation:
A) After how many second would all three things happen together again?
Solution:
His clock ticked every 5 seconds , a tap was dripping every 7 seconds and his pet dog snored every 12 seconds. It all happens simultaneously = 5*7*12=420 seconds
B) How many times would all three things happen together again between midnight and one o'clock
Since all these events happen together after every 420 sec = 7 mins and there are 60 mins between midnight and 1 o'çlock , thus 60/7 = 8 times ....
Answer:
x=2 and y=1
Step-by-step explanation:
Rewrite equations:
y=−x+3;y=x−1
Step: Solve
y=−x+3
Step: Substitute−x+3foryiny=x−1:
y=x−1
−x+3=x−1
−x+3+−x=x−1+−x(Add -x to both sides)
−2x+3=−1
−2x+3+−3=−1+−3(Add -3 to both sides)
−2x=−4−2x−2=−4−2
(Divide both sides by -2)
x=2
Step: Substitute2forxiny=−x+3:
y=−x+3
y=−2+3
y=1(Simplify both sides of the equation)
Hope this Helps you :)