Answer:
Total number of mug = 14 mugs
Step-by-step explanation:
Given:
Total amount of Clay Leo bought = 50 lbs
Total amount of Clay left = 27.42 lbs
Total amount of Clay used in sculpture = 12.5 lbs
Amount of clay each muh need = 0.72 lbs
Find;
Total number of mug
Computation:
Assume;
Total number of mug = a
So,
Total amount of Clay Leo bought = Total amount of Clay left + Total amount of Clay used in sculpture + (Amount of clay each muh need)(Amount of clay each muh need)
50 = 27.42 + 12.5 + (0.72)(a)
50 = 39.92 + (0.72)(a)
(0.72)(a) = 10.08
a = 14
Total number of mug = 14 mugs
5.
that is square-kite
square=AC^2=(AE+EC)^2=(9+15)^2=24^2=576
kite=1/2 times diagonals=1/2 times AC times BD=1/2 times 24 times (BE+ED)=12 times (7+7)=12 times 14=168
so the shaded area=576-168=408 square inches
6.
trapezoid=(base1+base2) times 1/2 times height
big one is base1=14, base2=25
height =10+12=22
area=(1/2)(14+24)(22)=(11)(38)=418
small one is base1=8
base2=25
height is 10
area=(1/2)(25+10)(10)=(5)(35)=175
so shaded area is 418-175=243 square cm
Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
W^-3
(4)^-3 = 1/(4)^3
1/64.
The solution is 1/64.
Answer:
12 tapes and 20 CDs were sold.
Step-by-step explanation:
Since a music store had a sale on tapes and CDs, and tapes were on sale for $ 5 each and CDs were on sale for $ 7, and during the sale, 32 tapes and CDs were sold, and the cash receipts from the sale of the tapes and CDs, before taxes, were $ 200, to determine the number of CDs and tapes sold during the sale, the following calculation must be performed:
7 - 5 = 2
32 x 5 = 160
200 - 160 = 40
40/2 = 20
32 - 20 = 12
12 x 5 + 20 x 7 = X
60 + 140 = X
200 = X
Therefore, 12 tapes and 20 CDs were sold.
