Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
72 m is the surface area because you multiply L × W × H, which is 6 × 4 ×3 = 72
the value for f(5.3)=6×5.3
=31.8
Answer:
Shopkeepers gain just by weighing is 22.22%
Step-by-step explanation:
Explanation:
Assume that the shopkeeper bought x units of goods i.e. actual weight of goods.
As the balance used to buy goods weighs 10% more, he actually bought x×110100=1.1x weight units i.e. although the shopkeeper paid for x units, he actually bought 1.1x units by weight.
Now he has 1.1x units of goods, but for selling he uses another balance, which actually measures 10% less i.e. 1−0.10=0.9 units for each unit weight of goods sold.
So while selling 1.1x becomes 1.1x0.90=1.2222... units.
Hence, shopkeepers gain just by weighing is 22.22%
