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SSSSS [86.1K]
3 years ago
11

How do you find the area of this composite figure?

Mathematics
1 answer:
Illusion [34]3 years ago
6 0
If you notice the picture below

the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it

so.. get the area of the trapezoid   \bf \textit{area of a trapezoid}=A=\cfrac{h}{2}(a+b)\qquad 
\begin{cases}
h=height\\
a,b=\textit{parallel sides or bases}
\end{cases}

then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh

then, subtract the triangle's area from the rectangle's area

and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area

namely the area of the trapezoid plus the rectangle's, minus the triangle's

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alexira [117]
f(x) = \sqrt{x - 2} \\y = \sqrt{x - 2} \\y^{2} = (\sqrt{x - 2})^{2} \\y^{2} = x - 2 \\x^{2} = y - 2 \\x^{2} + 2 = y \\x^{2} + 2 = f^{-1}(x)
6 0
3 years ago
If lines a and b are parallel, and m<8=150, what is the m<2
ss7ja [257]

Step-by-step explanation:

\underline{\large{ \tt{G \: I \: V \: E \: N}}} :

  • Line a & b are parallel
  • m ∠ 8 = 150 °

\underline{ \large{ \tt{T \: O\:  \: F \: I \: N \:D}}} :

  • m ∠ 2

\underline{ \large{ \tt{S\: O \:L \: U \: T \: I \: O \: N}}} :

\large{ \tt{m  \: \angle \: 8  \:  +  \: m  \: \angle \: 2 = 180 \degree}} [ Sum of co-interior angles ]

⤑ \large{ \tt{150 \degree \:  + m  \: \angle \: 2}} = 180 \degree

⤑ \large{ \tt{m \angle \: 2 \:  =  \: 180 \degree - 150 \degree}}

⤑ \large{ \tt{m  \: \angle \: 2 \:  =  \bold{ \tt{30 \degree}}}}

\red{ \boxed{ \boxed{ \tt{Our \: final \: answer :  \boxed{ \underline{ \bold{ \tt{30 \degree}}}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# \underbrace{ \tt{Carry \: On \: Learning}} !!

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8 0
3 years ago
Read 2 more answers
Write a piecewise function for the graph
netineya [11]

Answer:

You can used it to help me out with a good time with this and

Step-by-step explanation:

5 0
3 years ago
In the binomial probability​ formula, the variable x represents the​ _______. In the binomial probability​ formula, the variable
wolverine [178]

Answer: Option 'A' is correct.

Step-by-step explanation:

In the binomial probability formula, we have

P(X=x)=^nC_xp^{x}q^{n-x}

Here, n = number of events

x = number of trials

p = probability of success

q = probability of failure

x is the number of trials among which we decide the number of successes and number of failures.

So, Option 'A' is correct.

8 0
3 years ago
PLEASE HELP!!!! and show your work
Goryan [66]
The answer would be 

4.41

my work is in the image below 

hope this helps :) 

4 0
3 years ago
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