7cos(x) + 1 = 6sec(x)
7cos(x) + 1 = 6/cos(x)
7cos^(x) + cos(x) = 6
7cos^(x) + cos(x) - 6 = 0
[7cos(x) - 6][cos(x) + 1] = 0
cos(x) = 6/7 , x = arccos(6/7) and
cos(x) = -1, x = 180
Answer:
2, 3, 5, 7 and 11 are the first few prime numbers.
Step-by-step explanation:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
Answer:
$2,400
Step-by-step explanation:
Ken intends to start a savings account
10% = leisure spending
This means 90% = Expenses for school
Let us represent the amount he must save as : x
Hence in other for him to have $2,160 in his savings account, the amount Ken must earn is calculated as:
90/100 × x = $2,160
Cross Multiply
90x = $2,160 × 100
x = ($2,160 × 100) ÷ 90
x =$2,400
Therefore, the amount Ken has to earn to have the amount needed for school is $2,400
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Answer:
The statement is wrong. a-b can be positive but not always.
Step-by-step explanation:
There can be three possible situations that are:
- a>b
- a<b
- a=b
Now taking first condition, the result will be positive because a smaller integer is subtracted from a greater one. Such as 5-2=3
In second condition, the result will be negative because a greater integer is subtracted from smaller one. Such as 2-5= -3
In the third condition, the result will always be zero because both the integers will cancel each other. Such as 5-5=0