Answer:
60 ft²
Step-by-step explanation:
You can divide the figure into 2 parts.
First, solve for the rectangle: Area of a rectangle = b*h = 4ft x 10ft = 40ft²
Then, solve for the triangle:
Height = 10ft - 5ft = 5ft
Base = 12ft - 4ft = 8ft
Area of a triangle = (b*h)/2 = (5ft x 8ft)/2 = 20ft²
Just add them together: 20ft² + 40ft² = 60ft²
:)
f(h(x))= 2x -21
Step-by-step explanation:
f(x)= x^3 - 6
h(x)=\sqrt[3]{2x-15}
WE need to find f(h(x)), use composition of functions
Plug in h(x)
f(h(x))=f(\sqrt[3]{2x-15})
Now we plug in f(x) in f(x)
f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6
cube and cube root will get cancelled
f(h(x))= 2x-15 -6= 2 x-21
The domain of a relation is all the x - values the relation can take, so:
domain = {-8, -6, 5}
The range, in addition, is all the y - values the relation can take, so:
range = {-3, -1, 0, 5}
The value of the 3 in 395,047 is 10 times greater than the
value of the 3 in 136,258.
What is the place value of a number?
In mathematics, place value refers to a digit's location within a number. A number has a slot for each digit. The placement of each digit will be enlarged when we represent the number in general form. These positions begin at the unit place, often known as the individual's position. Units, tens, hundreds, thousands, ten thousand, one hundred thousand, and so on are the place values of a number's digits from right to left.
Given, the number in consideration is 395,047.
The place value of 3 in the given number is hundred thousands.
A value 10 times smaller than this given number must have three in the ten thousands place.
Out of 386592, 283429, 136258, 123694; only 136258 has three in ten thousands place.
Therefore, the value of the 3 in 395,047 is 10 times greater than the
value of the 3 in 136,258.
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Answer:

Step-by-step explanation:

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<u>Simplifying the expression using "a ÷ b = a x 1/b"</u>

