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yuradex [85]
3 years ago
14

What is the definition of radians?

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0
It's the relation between the arc length of a circle, and the measure of angle. Before radians, we could only measure in degrees, and use pi to convert from arc length and circumference and angle measure. But, with the introduction of radians, it's much easier to map the relation. Hope it helps!
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A: a line passes through the point (2,8) and is parallel to y=3x+10 write the equation of the line in y=mx+b form
Sergeeva-Olga [200]
ANSWER:
a. y=3x+2
b. y=-1/2x-1

find the y intercepts that fit with the coordinates and for a parallel line the slope stays the same, while for a perpendicular line the slope flips and turns into the opposite symbol.

4 0
3 years ago
Pls. Help me to solve this math problem.
Tju [1.3M]

\bf (\stackrel{x_1}{x}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-(-7)}{-6-x}=\stackrel{\textit{slope}}{-\cfrac{15}{7}}\implies \cfrac{8+7}{-6-x}=-\cfrac{15}{7} \\\\\\ \cfrac{15}{-6-x}=-\cfrac{15}{7}\implies 105=(-6-x)(-15)\implies 105=90+15x \\\\\\ 15=15x\implies \cfrac{15}{15}=x\implies 1=x

4 0
4 years ago
How do you start this and find the weight of each shape? I do not remember doing this in class.
suter [353]
Let's say   make the shapes, some variable name

say   

⛁    ⚪     ◽    ▯
a     b      c     d

so.. if take those are the shapes provided

then we can take a look at the first set and we can say that

2a + b + c = 20

a + 4d + b = 19

a + c = 9

3c + d + a = 19 

thus     \bf \begin{cases}
2a + b + c = 20\\
a + 4d + b = 19\\
a + c = 9\\
3c + d + a = 19 
\end{cases}\\\\
-----------------------------\\\\
a+c=9\implies \boxed{c}=9-a\qquad thus
\\\\\\
2a+b+\boxed{9-a}=20\implies \underline{b}=11-a\impliedby thus
\\\\\\
a+4d+\underline{11-a}=19\implies d=\cfrac{8}{4}\implies d=2\\\\
-----------------------------\\\\
then\qquad 3\left(\boxed{9-a } \right)+\boxed{2}+a=19\implies 27-3a+2+a=19
\\\\\\
10=2a\implies 5=a

and surely you can find the other two

4 0
3 years ago
Solve for x <br><br> (5√3)^x+(10√3)^(x-10)=84
Olenka [21]

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

We can define z = 3^(x/10). Then the equation is quadratic, which we can solve by completing the square. X can be found from the positive solution for z.

  z^2+\dfrac{1}{3}z=84\\\\z^2+\dfrac{1}{3}z+\dfrac{1}{36}=84\dfrac{1}{36}\\\\(z+\dfrac{1}{6})^2=(9\dfrac{1}{6})^2\\\\z=9\dfrac{1}{6}-\dfrac{1}{6}=9\\\\z=3^{\frac{x}{10}}=3^2\\\\x=10\cdot2\\\\\boxed{x=20}

8 0
3 years ago
Find the value of x. Round the answer to the nearest tenth if needed.
horrorfan [7]
I hope this helps you

8 0
4 years ago
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