Answer: 15600 rotations
Step-by-step explanation:
Answer:
Area of trapezium = 4.4132 R²
Step-by-step explanation:
Given, MNPK is a trapezoid
MN = PK and ∠NMK = 65°
OT = R.
⇒ ∠PKM = 65° and also ∠MNP = ∠KPN = x (say).
Now, sum of interior angles in a quadrilateral of 4 sides = 360°.
⇒ x + x + 65° + 65° = 360°
⇒ x = 115°.
Here, NS is a tangent to the circle and ∠NSO = 90°
consider triangle NOS;
line joining O and N bisects the angle ∠MNP
⇒ ∠ONS = 
= 57.5°
Now, tan(57.5°) = 
⇒ 1.5697 = 
⇒ SN = 0.637 R
⇒ NP = 2×SN = 2× 0.637 R = 1.274 R
Now, draw a line parallel to ST from N to line MK
let the intersection point be Q.
⇒ NQ = 2R
Consider triangle NQM,
tan(∠NMQ) = 
⇒ tan65° =
⇒ QM = 
QM = 0.9326 R .
⇒ MT = MQ + QT
= 0.9326 R + 0.637 R (as QT = SN)
⇒ MT = 1.5696 R
⇒ MK = 2×MT = 2×1.5696 R = 3.1392 R
Now, area of trapezium is (sum of parallel sides/ 2)×(distance between them).
⇒ A = (
) × (ST)
= (
) × 2 R
= 4.4132 R²
⇒ Area of trapezium = 4.4132 R²
Answer:
domain: {-6, -1, 9, -3}
range: {0, 5, -3, 9}
Step-by-step explanation:
domain is the x-values and range is the y-values
Answer:
292 cm²
Step-by-step explanation:
the area = 2×(8×6 +8×7 + 6×7)
= 2×(48+56+42)
= 2×146
= 292
1.
a. your answer is correct
b. 60 and hndreths=60.08
c. 16 and 8 thousanths=16.008
d. 60 and 8 tenths=60.8
e. your answer is correct
f. your answer is correct
2. 16.207, 6.9, 16.19, 16.26
so the greatest is obviously one of the 16's
compare
16.207, 16.190, 16.260
obviously, the order is 16.260,16.207,16.190
then the last one is 6.9 so the order is 16.26,16.207, 16.19, 6.9 and the numbers in order is 2,4,3,1
3. I can't see the puzzle that well, but 11.88 is more than 11.50 since 0.88 is more than 0.50
4. can't see the puzzle that mmuch
hundreths is 0.0x x is the hundrreths since exg 1/100=1 hundreths=0.01
5. remember if the number is more than five round up and if less than 4 round down so
10.5, 10.6, 10.7 10.8 10.9 10.1 10.2 10.3 10.4 would work
6. tenth=0.8 so the numbers could be 17.81, 17.82 17,83
7.rembmber the decimal places and line them up so again
6.081, 6.082 6.083 and so on
8. 1/2=0.5 or 0.50000
9. the greatest decimal
first find the greatest whole number
60
then find all the 60's and read from left to right the numbers after the decimal, the biggest number to the left is bigger, if they are the same, move one place to the right and count again
10. I can't seee the puzzzle very clearly but hte answer is pirates
