Hey!
So you have a net of the figure. It's broken into several 2D shapes. What you an do it find the area of each shape and add it together.
Triangles:
A = (b*h)/2
A= (5 * 3) / 2
A = 15/2
same thing for the second one
15/2 * 2 = 15
Don't forget, there are 2 triangles so it's really 15 for both
Rectangles:
A=b*h
A= 7*5
A=35
A=7*5
A=35
A=3*7
A=21
35+35+21=91
Now add the sum of the area of the triangles and the sum of the area of the rectangles
91+15 = 106
106 is the surface area
Hope this helps!
Answer:
(7+Z)²
Step-by-step explanation:
A less ambiguous way to describe the quantity might be "the square of the quantity seven plus Z".
As it is, we rely on the presence of the comma to tell us that the quantity to be squared is (7+Z). If the comma were not present, we would assume you want to add 7 to the square of Z: 7+Z².
the quantity 7 plus Z: (7+Z)
that quantity squared: (7+Z)²
We conclude that the measure of that angle is 150 degrees.
<h3>
How to get the measure of angle BFE?</h3>
Notice that the measure of angle ∠BFE will be equal to:
∠BFE = ∠BFC + ∠CFD + ∠DFE
Where:
∠CFD = 90°
∠DFE = 30°
And we will have that:
∠AFC = 180° - 90° - 30° = 60°
And we know that BF bisects that angle, then:
∠BFC = 30°
So we conclude that:
∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°
We conclude that the measure of that angle is 150 degrees.
If you want to learn more about angles:
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This is a type of permutation problems in statistics. A permutation is a way in which the set of numbers can be arranged or order. In mathematics permutation relates to the act of ordering or arranging all the set of numbers into some sequence or order, or if the set is already in order or arranged its element the process is called permuting. Well, there are seven ways the first place can come in, then 6 ways for a second, and then 5 ways for third... so we multiply the 3 ways to get on how many different ways the first three finishers come in. 7*6*5 = 210 ways
The expression is written as (4n/9) + 14
What is an expression?
An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. Many writers differentiate between an expression and a formula, with the former referring to a mathematical item and the latter referring to a statement about mathematical things. For instance, is a formula. However, in modern mathematics, and particularly in computer algebra, formulae are considered as expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.
The expression is written as (4n/9) + 14
To know more about an expression, click on the link
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