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2 years ago

100 POINTS IF U GET THIS RIGHT!

Mathematics

2 answers:

Nastasia [14]2 years ago

5 0

Answer:

${ \mathfrak{ mixed \: fraction{ \rm{ : \: 8 \frac{1}{2} }}}} \\ \\ { \mathfrak{ improper \: fraction{ \rm{ : \: \frac{17}{2} }}}}$

Step-by-step explanation:

• General equation of a line is given as below

${ \boxed{ \rm{y = mx + b}}}$

m is the slope
b is the y-intercept

• By relation with the equation given,

${ \rm{m = \frac{17}{2} }}$

iVinArrow [24]2 years ago

3 0

Answer:

That is the answer

Hope this helps!

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What is the value of x?

Kazeer [188]

Answer:

Step-by-step explanation:

The volume of a sphere is

$V=\frac{4}{3}\pi r^3$

We are told our volume is 500pi/3, so we fill that in and solve for r:

$\frac{500\pi}{3}=\frac{4}{3}\pi r^3$

Start by multiplying both sides by 3 over 4 pi:

$(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3$

Simplifying gives us

$125=r^3$

Take the cubed root of both sides to get that

r = 5

6 0

2 years ago

Anwser: <br><br> (1-4-6+56)×6-8-3

baherus [9]

Answer:

PEMDAS, do multiplication first then, adddition, then subtraction

Step-by-step explanation:

7 0

2 years ago

Solve the equation on the interval [0,2π]

WARRIOR [948]

$\bf 16sin^5(x)+2sin(x)=12sin^3(x)
\\\\\\
16sin^5(x)+2sin(x)-12sin^3(x)=0
\\\\\\
\stackrel{common~factor}{2sin(x)}[8sin^4(x)+1-6sin^2(x)]=0\\\\
-------------------------------\\\\
2sin(x)=0\implies sin(x)=0\implies \measuredangle x=sin^{-1}(0)\implies \measuredangle x=
\begin{cases}
0\\
\pi \\
2\pi 
\end{cases}\\\\
-------------------------------$

$\bf 8sin^4(x)+1-6sin^2(x)=0\implies 8sin^4(x)-6sin^2(x)+1=0$

now, this is a quadratic equation, but the roots do not come out as integers, however it does have them, the discriminant, b² - 4ac, is positive, so it has 2 roots, so we'll plug it in the quadratic formula,

$\bf 8sin^4(x)-6sin^2(x)+1=0\implies 8[~[sin(x)]^2~]^2-6[sin(x)]^2+1=0
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}
\\\\
\begin{array}{lcccl}
& 8 sin^4& -6 sin^2(x)& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
sin(x)= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}
\\\\\\
sin(x)=\cfrac{-(-6)\pm\sqrt{(-6)^2-4(8)(1)}}{2(8)}\implies sin(x)=\cfrac{6\pm\sqrt{4}}{16}
\\\\\\
sin(x)=\cfrac{6\pm 2}{16}\implies sin(x)=
\begin{cases}
\frac{1}{2}\\\\
\frac{1}{4}
\end{cases}$

$\bf \measuredangle x=
\begin{cases}
sin^{-1}\left( \frac{1}{2} \right)
sin^{-1}\left( \frac{1}{4} \right)
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}~,~\frac{5\pi }{6}\\
----------\\
\approx~0.252680~radians\\
\qquad or\\
\approx~14.47751~de grees\\
----------\\
\pi -0.252680\\
\approx 2.88891~radians\\
\qquad or\\
180-14.47751\\
\approx 165.52249~de grees
\end{cases}$

3 0

2 years ago

PLEASE HELP I ONLY HAVE AN HOUR

skelet666 [1.2K]

Answer:

A. I can't quite see the question, but I'm pretty sure it's A

Step-by-step explanation:

Sin(A) = 1/3

Sin^2(A) + Cos^2(A) = 1

(1/3)^2 + cos^2(A) = 1

1/9 + cos^2(A) = 1

cos^2(A) = 1 - 1/9

cos^2(A) = 8/9

cos(A) = √(8/9)

√8 = √(2 * 2 * 2) = 2√2

√9 = 3

cos(A) = 2√2/3

4 0

2 years ago

If the diameter of a circle is half of a yard, then its radius is how many inches?

Ber [7]

First of all we need to realize that half of a yard is as much as 18 inches. If a diameter of the circle is 18 inches, then its radius is 18 ÷ 2 = 9 inches.

6 0

2 years ago