Answer:
12.3 feet.
Step-by-step explanation:
As we are given that 
is an right angled triangle.
And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.
By using Trigonometric functions in a right angled 
, we know that:
Here, 
is 
, Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.
So, 
Putting the values of <em>PN </em>and 
.
Hence, the value of <em>OP </em>is 
.
Answer: The answer is (22, 15).
Step-by-step explanation: Given that 'x' represents the number of cars Leonard has and 'y' represents the number of cars Liam has.
Then, according to the given information, we have
Multiplying the first equation by 2 and adding to the second equation, we have
So,
Therefore, Leonard has 22 cars and Liam has 15 cars.
Thus, (22, 15) is the solution to the given system.
Answer:
Step-by-step explanation:
a+√b
a-√b
Answer:
p = -2 ±sqrt( 5)
Step-by-step explanation:
p^2 + 4p = 1
Take the coefficient of p
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
p^2 + 4p+4 = 1+4
(p+2) ^2 = 5
Take the square root of each side
sqrt((p+2) ^2) =±sqrt( 5)
p+2 = ±sqrt( 5)
Subtract 2 from each side
p+2-2 = -2 ±sqrt( 5)
p = -2 ±sqrt( 5)
Answer:
y = 2x + 54
Step-by-step explanation:
slope of equation:
(y2-y1)/(x2-x1)
= (72-58)/(9-2)
= 14/7
= 2
y = 2x + b
58 = 2(2) + b
58 = 4 + b
b = 54
