14. The distance between the two points is 14.866.
Distance can be calculated with the following formula:
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(12-2)²+(5-(-6))²
d=√10²+11²
d=√100+121
d=√221
d=14.866
15. The distance between the two points is 20.248.
Use the same formula to find the distance.
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(4-(-3))²+(12-(-7))²
d=√7²+19²
d=√49+361
d=√410
d=20.248
The question seems incomplete, as the length of the hour hand isn't given ;
If the tip of the hour hand is taken as 30mm
Answer:
534.1 mm
Step-by-step explanation:
In 2 hours ; cycle performed :
2/ 12
Circumference of a circle = 2 * pi *r
Circumference = 2 * pi * 30 = 60pi
Distance traveled : 60pi * 2/12 = 120pi/ 12 =10pi
The minute hand travels 2 comply cycle in 2 hours
150% taller than short hand :
1.5 * 30 = 45 mm
Distance traveled : 2 (2 * pi * 45) = 180pi
(180pi - 10pi) = 170pi
170π = 534.07075
= 534.1 mm
Answer:
6 dollars per dozen
Step-by-step explanation:
This is a fraction equal to
6 dollars ÷ 1 dozen
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
6 dollars ÷ 1
1 dozen ÷ 1
=
6 dollars
1 dozen
=
6 dollars
dozen
= 6 dollars per dozen
Answer:
kevin is 6 years old
Step-by-step explanation:
Let Kevin's age now be a
Daniel's age now be b
Kevin is 3 years older than Daniel. -> a-3 = b
Two years ago, Kevin was 4 times as old as Daniel -> a-2 = 4(b-2) = 4b -8
-> a-3 -(a-2) = b - (4b-8)
-> - 1 = -3 b +8
-> -9 = -3b
-> b = 3
-> a = 6
