Answer:
70°
found by considering A-frame ladder as a triangle
Step-by-step explanation:
Given that,
angle form on either side of A-frame ladder with the ground = 125°(exterior)
As it is a A-frame ladder so its a triangle, we will find the angle at the top of ladder by using different properties of triangle
1) find interior angle form by A-frame ladder with the ground
125 + x = 180 sum of angles on a straight line
x = 180 - 125
x = 55°
2) find the angle on top of ladder
55 + 55 + y = 180 sum of angle of a triangle
110 + y = 180
y = 180 - 110
y = 70°
Your answer for your problem
Answer:
The values of a and b are a = 11 , b = 7
Step-by-step explanation:
* Lets explain how to solve the problem
* In the exponential functions we have some rules
1- In multiplication if they have same base we add the power
# Ex: b^m × b^n = b^(m + n) ⇒ b is the base , m and n are the powers
2- In division if they have same base we subtract the power
# Ex: b^m ÷ b^n = b^(m – n) ⇒ b is the base , m and n are the powers
3- If we have power over power we multiply them
# Ex: (b^m)^n = b^(mn) ⇒ b is the base , m and n are the powers
* Lets solve the problem
∵ The equation is
⇒ (1)
- At first multiply the coefficients
∵ -4 × 5 = -20
- Multiply the base x
∵ 
- Multiply the base y
∵ 
∴
⇒ (2)
- By comparing (1) and (2)
∴ a = 11 and b = 7
* The values of a and b are a = 11 , b = 7
Answer: you would have $1772 at the end of 10 years.
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
P = $1200
r = 3.9% = 3.9/100 = 0.039
t = 10 years
Therefore,
A = 1200 x 2.7183^(0.039 x 10)
A = 1200 x 2.7183^(0.39)
A = $1772 to the nearest dollar
Answer:
Pablo drove the greatest distance of 527 miles.
Missing Content:
Since information on Pablo is not given, it is impossible to solve this problem. Let us assume some scenario for Pablo. Say:
(3)Pablo averaged 52.7 miles per hour and drove for 10 hours.
Step-by-step explanation:
Using this information, we can find out the data on Al,
Al drove 1 hour longer than Pablo so,
Time Al drove= 10+1 =11 hours
Average rate of Al=Pablo's average rate-5= 52.7-5 = 47.7 miles per hour.
We know that,
Average Speed = 
Distance =Average Speed x Time
Distance travelled by Al = 47.7 x 11 =524.7 miles
Distance Travelled by Marsha = 50 x 9=450 miles
Distance Travelled by Pablo= 52.7 x 10= 527 miles
<u>As we can see that Pablo drove the greatest distance which is 527 miles.</u>