In this question , we have to find the value of tan 30 and we need to write the answer in simplified form .

Substituting the values of sin (30) and cos(30, we will get

Multiplying both numerator and denominator by 2, we will get

TO simplify it, we need to multiply both numerator and denominator by square root 3.

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Answer: it cost a customer $7.25 to buy five tulips and $10.5 to buy six roses.
Step-by-step explanation:
Let x represent the cost of 1 tulip.
Let y represent the cost of 1 rose.
The price of each tulip is the same and the price of each roses the same. One customer bought seven tulips and nine roses for $25.90. This means that
7x + 9y = 25.9 - - - - - - - - - - - - - - 1
Another customer bought for four tulips and eight roses for $19.80. This means that
4x + 8y = 19.8- - - - - - - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 7, it becomes
28x + 36y = 103.6
28x + 56y = 138.6
Subtracting, it becomes
- 20y = - 35
y = - 35/ - 20
y = 1.75
Substituting y = 1.75 into equation 2, it becomes
4x + 8 × 1.75 = 19.8
4x + 14 = 19.8
4x = 19.8 - 14 = 5.8
x = 5.8/4
x = 1.45
The cost of 5 tulips would be
1.45 × 5 = $7.25
The cost of 6 roses would be
1.75 × 6 = $10.5
Answer:
Data is quantitative, data is categorical, data must be from a simple random sample, the data mut have normal distribution,
Step-by-step explanation:
When we make inference about one population proportion, we must ensure that the sample was taken randomly and observations follow a normal distribution. The sample size must be as large as possible with at least 10 counts of failures an 10 counts of successes. The individual observations must be independent. They must be quantified and categorized.
Answer:
... inputs.
Step-by-step explanation:
A function is a map of inputs to outputs. The domain of a function is the set of <em>inputs</em> for which outputs are defined.