175 calories divided by 12 is 14.58.
So your unit rate is 14.58.
thank you kind person. Here have a picture for you to dream at night :)
The average can be easily affected by outliers because an outlier can bring the average much higher or lower depending on the value. For example, if this was the data set
0,50,51,52
the average would be 38.25
But without the 0, the average would be 51.<span />
Answer: Danny's supermarket
Step-by-step explanation:
Danny's price- 0.75x1.5= $1.12 for 1 liter water bottle
Marta's price- $1.50 for 1.25 liter water bottle
1.12x1.25=1.40, if Danny was selling a 25% bigger bottle(making the bottle size equal to Marta's) it would cost $1.40, the lower price
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