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3 years ago

How many degrees is the angle below?

Mathematics

2 answers:

umka2103 [35]3 years ago

7 0

Answer:

30 degrees

Step-by-step explanation:

the line (not at the 0) is what you measure from. Because the angle is visibly acute, we know that it must be less than 90 degrees, therefore the angle cannot be 150 degrees but 30 degrees (from the lower line)

fomenos3 years ago

3 0

The answer is: 30 degrees

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The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,

soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

W = $\frac{13}{2}$ - L
A = $\frac{13L - L^{2} }{2}$

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

$\frac{13}{2}$ = L + W

So that;

W = $\frac{13}{2}$ - L

The required formula for the width as a function of L is: W = $\frac{13}{2}$ - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( $\frac{13}{2}$ - L)

= $\frac{13}{2}$ L - $L^{2}$

A = $\frac{13L - L^{2} }{2}$

The expression for the area A is: A = $\frac{13L - L^{2} }{2}$

Visit: brainly.com/question/10452031

5 0

2 years ago

This equation shows how the number of pies Wyatt can bake is related to the number of additional cups of sugar he buys. p=s + 93

Mariulka [41]

Answer:

Step-by-step explanation:

4 0

3 years ago

Please help me with this

horrorfan [7]

Answer:

$\dfrac{4000\pi}{3}$ ft³

Step-by-step explanation:

First, let's figure out how to get the volume of a sphere from its surface area. If r is the radius of our sphere, then

The formula for a sphere's surface area is $A = 4\pi r^2$

The formula for a sphere's volume is $V=\frac{4}{3}\pi r^3$

So to get from area to volume, we have to divide the area by 3 and then multiply it by r. Mathematically:

$V=\frac{A}{3}r$

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - $400\pi$ ft² - so we can use the area formula to find that radius:

$A=4\pi r^2=400\pi\\r^2=100\\r=10$

And now that we have our radius, we can put it into our volume formula to find

$V=\frac{A}{3} r=\frac{400\pi}{3}(10)=\frac{4000\pi}{3}$ ft³

4 0

3 years ago

I need help with 10,11,12

pshichka [43]

10. 50 is roughly around ~16% of 300. (16% is 50.1)

11. 35% of 150 would be 52.5

12. 80 is 200% of 40

3 0

3 years ago

Read 2 more answers

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

3 years ago