Answer: OPTION D.
Step-by-step explanation:
Given the equilateral triangle shown in the figure, you need to find the value of the altitude "a".
In order to find the altitude, you can use the following Trigonometric Identity:
In this case you can identify that:
Therefore, you can substitute values into :
Finally, you must solve for the altitude "a". Then, this is:
Notice that this result matches with the value shown in Option D.
Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be and
the amounts of nickels and dimes that Carrie and Joan have, as
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate by equalizing (Eq. 1) and (Eq. 2):
Then, we reduce the resulting formula by (Eq. 3):
And rest of variable are now determined:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.