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Reptile [31]
3 years ago
9

Convert the following improper fraction into a mixed number : 52/7

Mathematics
1 answer:
lesya692 [45]3 years ago
3 0
So first we see how many times the denominator can go into the numerator which is 7 times and the remaining is 3
So to write that: 7 3/7
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Find The art length of a sector with an area of 8 square units.
frez [133]
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\

\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =\frac{180}{\pi }\\
r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.
6 0
3 years ago
What is 1 half minus 3?
Ivanshal [37]

Answer:

-1-3 = -4

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Simplify 3/5(10g-5k)-(-3g+2k)
dybincka [34]

Answer:

9g -5k

Step-by-step explanation:

6 0
4 years ago
The coefficient of first term of a polynomial written in standard (descending order) form is called the ____ coefficient ?
Black_prince [1.1K]
We know that
<span>
1) The degree of a polynomial is the highest degree of its terms</span>
<span>2) The leading term in a polynomial is the highest degree term</span>
<span>3) The leading coefficient of a polynomial is the coefficient of the leading term</span>  
Therefore

The coefficient of first term of a polynomial written in standard (descending order) form is the coefficient of the leading term, thus is called the leading coefficient.

  the answer is
The leading coefficient<span> </span>
8 0
3 years ago
Read 2 more answers
Can someone please help
andre [41]

Answer:

x ≥ 1  (how to graph is listed below)

Step-by-step explanation:

To find where we need to plot the line, we first need to solve the inequality for x:

-2x - 3 ≤ -5

(Add three to both sides)

-2x ≤ -2

(Divide both sides by -2, but we can't forget that whenever we multiple or divide by a negative number, the sign flips!)

x ≥ 1

To graph this on the number line, you would put a dot on the 1 and fill it in completely (you fill in the dot for a "___ and equal to" sign.     ex. ≥, ≤)

Then you would make an arrow from the dot to the right on the number line (this is because x must be greater than or equal to 1, so it must be facing in that direction)

8 0
3 years ago
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