Answer:
P = 30 degrees, PQ = 6.93, PN = 8
Step-by-step explanation:
For the angle, just subtract the angles you already know from 180, so 180 - 90 - 60= P. P = 30 degrees.
For PQ, use tan60 = x/4, or 4tan(60), which equals 6.93.
For PN, use cos60 = 4/x, or 4/cos60, which equals 8.
Hopefully this helps- let me know if you have any questions!
Answer:
C = 600 + 50s
Step-by-step explanation:
The students are planning to visits the Canada's wonderland. The students will spend a full day at the park.
The entry fee for each student is $50 and the bus cost is $600. Each student will pay $50 for entry into the park.
Let
the number of student = s
cost of the trip = C
Relating the variable C and s
The total amount of money the student will pay for entry fee = 50 × s = 50s
Therefore, cost of the trip can be expressed as follows
C = 600 + 50s
You need to give more info
Answer:
Step-by-step explanation:
1). x² - 10x + a²
By using the formula of (a - b)² = a² - 2ab + b²
x² - 2(5)x + a²
Therefore, for a perfect square of the expression a should be equal to 5.
Therefore, (x² - 10x + 25) will be the answer.
2). x² + 2ax + 36
= x² + 2(a)x + 6²
For a perfect square of the given expression value of a should be 6.
x² + 2(a)x + 6² = x² + 2(6)x + 6²
= (x + 6)²
Therefore, x² + 12x + 36 will be the answer.
3). 

To make this expression a perfect square,
a² = 
= 
Therefore, the missing number will be
.