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3 years ago

Holly missed 6 of 181 school days this year. Approximately what percent of school days was Holly in attendance?

Mathematics

1 answer:

Natasha2012 [34]3 years ago

4 0

$181-6=175\\\\\frac{175}{181}\cdot100\%=\\\\\frac{17500}{181}\%=\\\\96.7\%\approx97\%\\\\Answer\ C$

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Find the standard equation for the ellipse, using the given characteristic or characteristics. vertices:(0,+-7) foci: (0,+-√33)

Alexxx [7]

Answer:

$=\frac{x^2}{16} +\frac{y^2}{49}=1$

Step-by-step explanation:

The equation of this ellipse is

$\frac{(x-h)^2}{b^2} +\frac{y-k)^2}{a^2} =1$

for a vertical oriented ellipse where;

(h,k) is the center

c=distance from center to the foci

a=distance from center to the vertices

b=distance from center to the co-vertices

You know center of an ellipse is half way between the vertices , hence the center (h,k) of this ellipse is (0,0) and its is vertical oriented ellipse

Given that

a= distance between the center and the vertices, a=7

c=distance between the center and the foci, c=√33

Then find b

$a^2-b^2=c^2\\\\b^2=a^2-c^2\\\\\\b^2=7^2-(\sqrt{33} )^2\\\\\\b^2=49-33=16\\\\\\b^2=16$

The equation for the ellipse will be

$\frac{(x-0)^2}{16} +\frac{(y-0)^2}{49} =1\\\\\\=\frac{x^2}{16} +\frac{y^2}{49} =1$

8 0

2 years ago

Which of the following functions is graphed below?

astraxan [27]

Answer: A

Step-by-step explanation:

Take the point (0, -6). The floor of 0 is 0, so normally it would be (0, 0). However, since the y coordinate is -6, not 0, we know it was translated down 6 units. Therefore, the answer is A.

8 0

2 years ago

Are the lines y=x+4 and y=x-2 perpendicular

Archy [21]

Answer:

no they are parallel because the slope is the same they just are at different y- intercepts

6 0

2 years ago

In quadrilateral abcd the measures of the angles are represented by measure angle a=6x-2, measure angle b=6x+5, measure angle c=

OleMash [197]

$\bf \textit{sum of all interior angles in a polygon}\\\\ S = 180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n = \stackrel{quadrilateral}{4} \end{cases} \\\\\\ \stackrel{\measuredangle a}{(6x-2)}~~+~~\stackrel{\measuredangle b}{(6x+5)}~~+~~\stackrel{\measuredangle c}{(8x+2)}~~+~~\stackrel{\measuredangle d}{(3x+10)}~~=~~180(4-2)$

$\bf 23x+15=180(2)\implies 23x+15=360\implies 23x=345 \\\\\\ x = \cfrac{345}{23}\implies \boxed{x = 15} \\\\\\ \stackrel{\measuredangle c}{8x+2}\implies 8(15)+2\implies 122$

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2 years ago

Read 2 more answers

If 12 out of 15 people recycle aluminum cans, how many people out of 1 million would you expect to recycle? ( Answer fast please

Nitella [24]

Answer:

800,000 people

Step-by-step explanation:

4 0

2 years ago