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1 answer:
Sally earns per hour = $12
Sally works for in a week = 16 hours.
So, Sally earns in a week =
Sally can save money each week= 20% of 192
A. How much does she earn each week ? Sally earns $192 in a week.
B. How much money will she save each week? Sally will save $38.40 each week.
C. How much money will she save each month (assume there are 4.3 weeks in a month)
Savings of 1 week = $ 38.40
Savings of 4.3 weeks =
Hence, she will save $165.12 in a month.
D. How many months will it take her to save the money?
Total money needed = $1800
Number of months needed to collect this amount =
Hence, it will take 11 months approx to save $1800.
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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