11. Tyler told his friend this riddle: "I am thinking of a number. Three times my number plus twice

Mathematics

2 answers:

guapka [62]3 years ago

8 0

Answer:

3x+2x=20

5x=20

x=4

Tyler's number is 4.

Step-by-step explanation:

Rashid [163]3 years ago

8 0

Let x be the number Tyler is thinking of, 3x + 2 = 20 is the equation Tyler tells his friend.
3x+2=20
3x=20-2=18
X=6

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An isosceles triangle has a perimeter of 18 cm. Find a function that models its area A in terms of the length of its base b.

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So.... notice the picture below

now, we know what the "height" or "altitude" is
now, we also know the perimeter is 18cm

so, k + k + b = 18
or 2k + b = 18
thus $\bf k=\cfrac{18-b}{2}$

so... one can say that $\bf \textit{area of a triangle}=A=\cfrac{1}{2}bh\qquad 
\begin{cases}
b=b
\\\\
h=\sqrt{k^2-\left( \frac{b}{2} \right)^2}
\\\\
h=\sqrt{k^2-\frac{b^2}{4}}\\
--------------\\
k=\frac{18-b}{2}\qquad thus\\
--------------\\
h=\sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}
\end{cases}\\\\
-----------------------------\\\\
A=\cfrac{1}{2}\cdot b\cdot \sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}$

and you can simplify it if you wish.. not sure you have to