Answer:
h = 7.47 m
Step-by-step explanation:
According to the question, we have a right triangle formed by the ladder with the wall and the floor.
The length of the ladder is the hypotenuse and the desired height is the opposite. This is due to the fact that "the ladder makes an angle of 21" 27" with the horizontal". Then, the trigonometric ratio to use is sine:

Using the values given:

Multiplying both sides by 14.5:


Then h = 7.47 m
f(x) is read is function f of x.
Where x is the input variable and function f(x) gives output value of function for x input value.
For the given function, we have f(3).
If we compare f(3) by f(x), the x represented by input value 3.
Therefore, x value is 3 there.
And we also have f(x) =-5.
Because function value is -5. So we can read it as, "for x input value of the the function gives output value -5."
For the asked value of x is just x=3.
4x-10=2
add 10 to each side (addition property of equality)
4x-10+10=2+10
simplify
4x = 12
divide by 4 (division property of equality)
4x/4 = 12/4
simplify
x=3
Answer: 31
Step-by-step explanation:
The two disks that we know Gina has are: 2 and 8.
We want to find tha largest sum that Gina's disks can have:
This means that the other 3 disks must be the largest possible ones.
We know that Monique has the disks 7 and 9.
The already taken values are: 2, 7, 8, and 9.
The largest values remaining are:
10, 6 and 5.
Then the largest sum that Gyna's disks can have is given by the scenario where Gina draws these 3 disks, and the sum will be:
2 + 8 + 10 + 6 + 5 = 31
0.8 is greater than 0.08. Hope this is helpful!