T because all variables are letters
Answer: RQ= 8.99 ( approx)
Step-by-step explanation:
Let MR= x
Since, In triangle, PRQ, tan 75°= 
⇒ RQ= 
Now, In triangle MRQ,
tan 60°=
⇒ RQ= 
On equating both values of RQ,
⇒
⇒
⇒
⇒
⇒
≈15.60
Thus RQ=8.99999999999≈8.99
<span>You can probably just work it out.
You need non-negative integer solutions to p+5n+10d+25q = 82.
If p = leftovers, then you simply need 5n + 10d + 25q ≤ 80.
So this is the same as n + 2d + 5q ≤ 16
So now you simply have to "crank out" the cases.
Case q=0 [ n + 2d ≤ 16 ]
Case (q=0,d=0) → n = 0 through 16 [17 possibilities]
Case (q=0,d=1) → n = 0 through 14 [15 possibilities]
...
Case (q=0,d=7) → n = 0 through 2 [3 possibilities]
Case (q=0,d=8) → n = 0 [1 possibility]
Total from q=0 case: 1 + 3 + ... + 15 + 17 = 81
Case q=1 [ n + 2d ≤ 11 ]
Case (q=1,d=0) → n = 0 through 11 [12]
Case (q=1,d=1) → n = 0 through 9 [10]
...
Case (q=1,d=5) → n = 0 through 1 [2]
Total from q=1 case: 2 + 4 + ... + 10 + 12 = 42
Case q=2 [ n + 2 ≤ 6 ]
Case (q=2,d=0) → n = 0 through 6 [7]
Case (q=2,d=1) → n = 0 through 4 [5]
Case (q=2,d=2) → n = 0 through 2 [3]
Case (q=2,d=3) → n = 0 [1]
Total from case q=2: 1 + 3 + 5 + 7 = 16
Case q=3 [ n + 2d ≤ 1 ]
Here d must be 0, so there is only the case:
Case (q=3,d=0) → n = 0 through 1 [2]
So the case q=3 only has 2.
Grand total: 2 + 16 + 42 + 81 = 141 </span>
Answer: m = 29
Step-by-step explanation:
first, swap the sides.
4m = 116
then, simply divide both sides.
m = 29
Answer:
Katie
Step-by-step explanation:
Use seconds as the standard unit to compare the speeds of the 4 runners
Tony is already in standard form and runs 12 ft/s
Katie:
450/30
15 ft/s
Frank:
1 mile = 5280 feet
5280/577
9.15 ft/s
Adam:
I minute = 60 seconds
880/60
14.67 ft/s
