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rodikova [14]
3 years ago
7

Which ordered pair is in the solution set of the system of inequalities

Mathematics
1 answer:
gtnhenbr [62]3 years ago
7 0

Answer:

x < 1 and y < -2

Step-by-step explanation:

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15 books each of dimension 2 cm x 4 cm x 5 cm are stacked on a she
Elena L [17]

Answer:

30cm

Step-by-step explanation:

Assuming that the thickness of the books is 2cm (This is a reasonable assumption, as books are almost always longer and wider than they are thick, and assuming that the books are stacked flat on top of one another, faces up or down, and not sideways, the question becomes 'What is the height of 15 books stacked on top of one another, if each book is 2cm thick?' The answer to this question is 15*2 or 30.

7 0
3 years ago
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Maurice mows lawns on Saturday.Last week it took him 5 1/2 hours to finish.This week it took only 5 hours.How many times longer
ludmilkaskok [199]
It took Maurice half an hour longer to complete mowing lawns
4 0
3 years ago
Convert 2435m to km and express the result as mixed fraction​
Juli2301 [7.4K]

Step-by-step explanation:

m to km

divide by 1000

2435m = 2.435km

6 0
4 years ago
Halley’s comet has an elliptical orbit with the sun at one focus. The eccentricity of the orbit is approximately 0.97. The lengt
kherson [118]

so the sun is one of the foci, and we have an eccentricity of 0.97. So the ellipse will look more or less like the picture below.


\bf \textit{ellipse, horizontal major axis}\\\\\cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1\qquad \begin{cases}center\ ( h, k)\\vertices\ ( h\pm a,  k)\\c=\textit{distance from}\\\qquad \textit{center to foci}\\\qquad \sqrt{ a ^2- b ^2}\\eccentricity\quad e=\cfrac{c}{a}\end{cases}\\\\-------------------------------\\\\\begin{cases}h=0\\k=0\\a=35.88\\e=0.97\end{cases}\implies \cfrac{(x-0)^2}{35.88^2}+\cfrac{(y-0)^2}{b^2}=1\\\\-------------------------------


\bf e=\cfrac{c}{a}\implies 0.97=\cfrac{c}{35.88}\implies \boxed{34.8036=c} \\\\\\ c=\sqrt{a^2-b^2}\implies b=\sqrt{a^2-c^2}\implies b=\sqrt{35.88^2-34.8036^2} \\\\\\ \boxed{b\approx 8.72}\\\\ -------------------------------\\\\ \cfrac{(x-0)^2}{35.88^2}+\cfrac{(y-0)^2}{8.72^2}=1\implies \cfrac{x^2}{1287.3744}+\cfrac{y^2}{76.0384}=1

5 0
4 years ago
Parabola
atroni [7]

9514 1404 393

Answer:

  • sin(θ) = (9√97)/97
  • cos(θ) = (-4√97)/97
  • csc(θ) = (√97)/9
  • sec(θ) = (-√97)/4
  • cot(θ) = -4/9

Step-by-step explanation:

The angle is in the 2nd quadrant, where the sine is positive and the cosine is negative.

tan^2(θ) +1 = sec^2(θ) = (-9/4)^2 +1 = 97/16   ⇒   sec = -(1/4)√97

cot(θ) = 1/tan(θ) = -4/9

csc^2(θ) = cot^2(θ) +1 = (-4/9)^2 +1 = 97/81   ⇒   csc = (1/9)√97

sin(θ) = 1/csc(θ) = (9√97)/97

cos(θ) = 1/sec(θ) = (-4√97)/97

3 0
3 years ago
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