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Answer:
y = 6√3 and x = 6
Step-by-step explanation:
this is a 30-60-90 triangle. The side opposite the 30° angle corresponds to the side of length 1 in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.
To find y, write and solve an equation of ratios, as follows:
adj side adj side (adjacent to the 30° angle)
y √3
hypo hypo then (cross multiplying): 2y = 12√3, and
12 2 y = 6√3
If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):
[12]² = [6√3]² - x² ↔ 144 = 36(3) - x² ↔ 36 = x². So x = 6 here.
Answer:
A. It increases the amount by 125,000. (Apex)
Step-by-step explanation:
Answer:
Option a. Y=3x
Step-by-step explanation:
Let us use cross multiplication method.
Let the cost of 1 magazine be x.
No. of copies Cost
1)50 $150
2)1 x
50x=150 x 1 equation(1)
x=150/50
x=$3
Now see equation (1),
150=50x
150=50 x 3
Here let us represent the cost as y and no. of copies as x.
Y=3x
Therefore, a. Y=3x is the right answer.
Thank you!
Answer:
The least amount spent is £12.92
Step-by-step explanation:
Given
Number of Carton = 38
A carton = 45 pence
4 carton = £1.56
To spend the least amount of money, be needs to go for the least expensive option.
There are 100 pence in £1
So, there are x pence in £1.36
x * 1 =1.36 * 100
x = 136 pence for 4 carton.
To get the price of 1 carton, divide x by 4
x/4 = 136p/4
x/4 = 34 pence.
This means that he can get a carton of juice at the rate of 34p and at the rate of 45p.
The smallest of this is 34p.
Hence total amount spent =
34 * 38
amount = 1292p --- convert to £
Amount = 1292/100
Amount = £12.92
Hence, the least amount spent is £12.92