Answer:
37.5
Step-by-step explanation:
It uses Sin and the law of Sin says that the ratio of given sides and an angle is always constant
Answer:
The mass of the exotic fruit is 20 grams.
Step-by-step explanation:
For the system to be in equilibrium,
i. the resultant of all masses must be zero
ii. the total mass on the left of the hanger must be equal to that on the right
Thus,
84 g = 42 g + 42 g
mass of each carrot = 12 g
mass of each mushroom = 10 g
mass of each cherry = 2.5 g
mass of each strawberry = 5 g
So that;
On the left of the hanger,
(2 x 5) + (2 x 10) + 12 = 42
10 + 20 + 12 = 42
42 = 42
On the right of the hanger, let the mass of exotic fruit be represented by x.
x + 12 + 5 + (2 x 2.5) = 42
x + 12 + 5 + 5 = 42
x + 22 = 42
x = 20 g
The mass of the exotic fruit is 20 grams.
Answer:
750
Step-by-step explanation:
50+25+50+100+200+100+200+25
9514 1404 393
Answer:
Step-by-step explanation:
If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.
Brent has 31 dimes and 132 pennies.
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<em>Solution using an equation</em>
You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...
1(163-d) +10d = 442
9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)
9d = 442 -163 = 279 . . . . . . subtract 163
d = 279/9 = 31 . . . . . . . . . . divide by 9
Brent has 31 dimes and 163-31 = 132 pennies.
It’s going to be positive