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lara [203]
4 years ago
13

What is 4/15 as a decimal and percent?

Mathematics
1 answer:
mamaluj [8]4 years ago
3 0
4/15 is a repeating decimal. 
Decimal- 0.2666...
Percent- 26.66...%
Rounded Decimal- 0.267
Rounded Percent- 26.67%
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Given that f(x)=x^2 . In the space below, type a function that would shift f(x) right 2.5 units, down 7 units, vertically shrink
notka56 [123]
Translation by h right and k up: f(x-h)+k.
Vertically scale by k and reflect across the x-axis: -k·f(x).

After the translation, your function is
  f(x) = (x-2.5)² -7

After the scaling and reflection, your function is
  f(x) = (-2/5)((x -2.5)² -7)

8 0
3 years ago
Convert from rectangular to polar coordinates: note: choose rr and θθ such that rr is nonnegative and 0≤θ<2π0≤θ<2π (a)(9,0
DochEvi [55]

Answer:

Step-by-step explanation:

Convert rectangle (x , y) to polar coordinates ( r , θ)

x=r  \cos \theta, y= r \sin \theta

r=\sqrt{x^2+y^2} , \theta =tan^-^1 (\frac{y}{x} )

a) converts (9, 0) to polar coordinates  ( r , θ)

r=\sqrt{x^2+y^2} \\\\=\sqrt{9^2+0} \\\\=9

\theta= \tan^-^1 (\frac{0}{9} )\\\\=0

b) Convert (18,\frac{18}{\sqrt{3} } ) to polar coordinates ( r, θ)

r = \sqrt{18^2+(\frac{18}{\sqrt{3} })^2 } \\\\=\sqrt{324+108} \\\\=\sqrt{432}

\frac{x}{y} \theta = \tan^-^1(\frac{\frac{18}{\sqrt{3} } }{18} )\\\\= \tan ^-^1(\frac{1}{\sqrt{3} } )\\\\= \frac{\pi}{6}

c)  converts (-5, 5) to polar coordinates  ( r , θ)

r =\sqrt{(-5)^2+(5)^2} \\\\=\sqrt{50} \\\\=5\sqrt{2}

\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}

d)  converts (-1, √3) to polar coordinates  ( r , θ)

r=\sqrt{(-1)^2+(\sqrt{3})^2 } \\\\= \sqrt{4} \\\\=2

\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}

= \frac{2\pi}{\sqrt{3} }

6 0
3 years ago
A right rectangular prism has a length of five centimeters a width of eight centimeters and a height of 4 cm what is the volume
lukranit [14]

Answer:

V=160cm^3

Step-by-step explanation:

V=lhw

V=5•4•8

V=20•8

V=160cm^3

^-^ your welcome

3 0
4 years ago
According to the data in the figure, find the value of x and y.
drek231 [11]

Answer:

This is a educated guess, but x is 80 and y is 100.

Step-by-step explanation:

My logic here is that the triangles are the same because of all the congruent lines and stuff. But from there, you know that both the right and the left side are 40 degrees. You know the total degree of a triangle is 180 so 180 - 40 - 40 is 100. So the final angle is 100. If you look at x, its on the outside, but on a line. If you can imagine a circle, its half, so its a 180 degrees total. Then its 180 = x + 100. So x is 80. And then by that same logic its y = 100.

6 0
2 years ago
Donavon and three friends go to a fair. They each spend 1/2 of their money on rides. Then, they each spend $3 on food. At the en
Ghella [55]
X=22$ hopefully this helpssss

6 0
3 years ago
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