If a triangle has sides of 7 cm and it is an equilateral you can draw a line right down the middle to form two congruent triangles.
These smaller triangles have a hypotenuse of 7cm and a base of 3.5 cm (7/2)
To work out the height, use Pythagoras’ theorem.
a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides
7^2 - 3.5^2 = 36.75
Square root answer
= 6.06 cm
That’s the height of the triangle
Area of a triangle is base x height divided by 2
So 7 x 6.06 = 42.43…
/2
= 21.2 cm^2 to one d.p
Hope this helped!
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The formula of a cylinder is V=πr^2 h
The radius is 5cm and the height is 12cm
V=π5^2 12
V=300π cm cubed
Your answer is B) V=300π cm cubed
Answer:
f average = 1
smaller value c = 3
larger value c = 5
Step-by-step explanation:
Answer:
Rational numbers can be expressed as a fraction
Squared 5 = 25
25 can be expressed as a fraction- 25/1, so d is correct.
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Each graph has been matched with the logarithmic function it represents as follows:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
<h3>What is a function?</h3>
A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
<h3>The types of function.</h3>
In Mathematics, there are different types of functions and these include the following;
- Piece-wise defined function.
<h3>What is a logarithm function?</h3>
A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:
y = logₐₓ
In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
Read more on logarithm function here: brainly.com/question/13473114
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