Answer:
6 5/6
Step-by-step explanation:
diameter is radius multiplied by 2
* means multiplied by
3 5/12 = 41/12
41/12 * 2 = 82/12 = 6 5/6
Answer:
x > -5 in the answer
Step-by-step explanation:
(5 - 3x) / 4 < 5
multiplying both sides by 4:-
5 - 3x < 20
-3x < 15
x > 15/-3
x > -5 (Note the inequality sign is flipped because we are dividing by a negative number)
Answer:
v = 15 miles / hour
Step-by-step explanation:
Given:
Distance covered by biker = s=45 miles
time taken by him = t=180 minutes
TO Find:
speed in miles per hour = v = ?
Solution:
As it is given that the distance covered is 45 miles
and time taken by him is 180 minutes
as one hour have 60 minutes
so time taken by rider = t = 180 /60
= 3 hours
this step is done because we have to find speed in miles per hour
Now
The formula for finding the distance is
distance = speed * time
or
s = v * t
we have to find v
so dividing both sides by t
it becomes
Putting the values
solving it gives
v = 15 miles / hour
which is the required speed
in the given options it is not available
Answer:
w > 7
Step-by-step explanation:
L = 3w
2L + 2w > 56
sub for L
2(3w) + 2w > 56
6w + 2w > 56
8w > 56
w > 7
Check: L = 3(8)
L = 24
2(24) + 2(8) > 56
48 + 16 > 56
64 > 56
Given that △XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .
We know that (x,y) => (x+h,y+k) type operation represents translation so rule (x, y)→(x+5, y−3) will cause translation.
We know that (x,y) => (-x,-y) type operation represents rotation about origin so rule (x, y)→(−x, −y) will cause rotation.
So combining both results and comparing with given choices. we find that only 1st choice "△XYZ is congruent to △X'Y'Z' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions."
is correct.
