Answer:
3:10
Step-by-step explanation:
The value of gf(5) for the given two expressions is 135.
According to the question,
We have the following information:
f(x)= x +4
g(x) = 3x
Now, in order to find the value of gf(5), we will first find the value of gf.
Now, we will multiply these two expressions:
3x(x+4)
Now, the terms outside the brackets need to multiplied inside the bracket:
Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:
3*5*5+12*5
75+60
135
Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.
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Answer:
6) x = 40.5
8) x = 16.5
Step-by-step explanation:
6) 45/x = 20/18
simplify and cross-multiply to get:
45/x = 10/9
10x = 405
x = 40.5
8) 22/8 = x/6
11/4 = x/6
4x = 66
x = 33/2
x = 16.5
Answer:
Height of the cylinder = 1.60yd
Step-by-step explanation:
Volume of a cylinder =
V = πr^2h
V - volume of cylinder
π - 3.142
r - radius of cylinder
h - height of cylinder
We are provided with
V - 80
r - 4
π - 3.142
h - ?
80 = 3.142 * 4^2 * h
80 = 50.272 * h
To find h, divide both sides by 50.272
80/50.272 = 50.272h/ 50.272
1.599 = h
h = 1.60yd
Answer: The required values are
x = 12 units, ST = 60 units and SU = 120 units.
Step-by-step explanation: Given that T is the midpoint of SU, where
ST = 5x and TU = 3x + 24.
We are to find the values of x, ST and SU.
Since T is the midpoint of SU, so we get
So, the value of x is 12.
Therefore,
and
Thus, the required values are
x = 12 units, ST = 60 units and SU = 120 units.