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2 years ago

8. _______ is our home planet and it is located from the Sun.

Mathematics

1 answer:

zhenek [66]2 years ago

8 0

Answer:

blank1 = earth blank2 = 483.08 billion feet

Step-by-step explanation:

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An angle is equal to one-third of its complement. Find the angle's measure.

artcher [175]

Let $x^\circ$ be the measure of the angle in question. Its complement has measure $(90-x)^\circ$ . We're told that this angle is congruent to 1/3 of its complement, so that

$x^\circ=\dfrac{(90-x)^\circ}3\implies3x^\circ=(90-x)^\circ\implies4x^\circ=90^\circ\implies x=22.5^\circ$

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3 years ago

An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the

Akimi4 [234]

Answer:

B. x<27

Step-by-step explanation:

300-165=135

135/5=27

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3 years ago

The hours of daylight,y, in Utica in days, x, from January 1, 2013 can be modeled by the equation y=3.06sin(0.017x-1.40) + 12.23

defon

The month of January has 31 days, so from January 1st to February 14th, there are 31 + 14 or 45 days, namely x = 45.

y = 3.06 * sin[ 0.017(45) - 1.40 ] + 12.23.

make sure your calculator is in Degree mode.

8 0

3 years ago

Read 2 more answers

Find the positive value of x in the geometric sequence 7x-2,4x+4,3x

Goryan [66]

Hello,

Let's assume k the ratio.

$
 \left \{ {{3x=k*(4x+4)} \atop {4x+4=k*(7x-2)}} \right. \\\\
 \left \{ {{3x-4kx=4k} \atop {4x-7kx=-2k-4}} \right. \\\\
 \left \{ {{x(3-4k)=4k} \atop {x(4-7k)=-2k-4}} \right. \\\\
 \left \{ {{x=\dfrac{4k}{3-4k} \atop {x=\dfrac{-2k-4}{4-7k} \right. \\\\

\dfrac{4k}{3-4k}=\dfrac{-2k-4}{4-7k}\\\\

36k^2-6k-12=0\\
6k^2-k-2=0\\

\boxed{k= \dfrac{2}{3} \ or\ k= -\dfrac{1}{2}}\\\\

x=\dfrac{4*\dfrac{2}{3} }{3-4*\dfrac{2}{3} }=8\\
x=\dfrac{4*\dfrac{-1}{2} }{3-4*\dfrac{-1}{2} }=-\dfrac{2}{5}\\





$

$\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\$

5 0

2 years ago

The two triangles are similar.<br> Solve for h.<br> Give an exact answer.

Vanyuwa [196]

Answer:

$\frac{1}{1.6} = \frac{h}{7.2}$ ( since they're similar, they are proportional to each other)

1 (7.2) = h (1.6) (set the two up as a proportion and then cross multiply)

7.2 = 1.6h (divide both sides by 1.6)

h = 4.5 m (this is the answer)

Step-by-step explanation:

7 0

3 years ago

8. ___________________ is our home planet and it is located ____________ from the Sun.

8. _______ is our home planet and it is located from the Sun.