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Phoenix [80]
2 years ago
9

What are the missing numbers?

Mathematics
2 answers:
pashok25 [27]2 years ago
7 0
2.089 and 2.095 because it goes by thousandths.
kogti [31]2 years ago
5 0
2.09+10x=2.1

10x=0.01

x=0.001

so each tick mark is equal to 0.001 in distance.

So the first box is 2.09-.001=2.089

And the second box is 2.09+5(.001)=2.095
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3. Write the standard equation of the circle with the given center that passes through the given
bearhunter [10]

Answer:

D is  correct.

Step-by-step explanation:

(x + 2)^2 + (y - 6)^2 = r^2

(-2+2)^2 + (10 - 6)^2 = r^2

r^2= (10 - 6)^2

r^2=16

5 0
3 years ago
Round 2.56×0.03 to the nearest hundredth
Arlecino [84]
2.56 times 0.03 is 0.0768 then round to hundredth is 0.08 i think 
4 0
3 years ago
In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. it measured 50 centimeters tall and 90 cen
slavikrds [6]
Y=-2/81x^2+50 is the answer 
7 0
3 years ago
Read 2 more answers
Question in picture<br><br>A) 16/63<br><br>B)-16/63<br><br>C) 63/16<br><br>D) -63/16
Orlov [11]
ANSWER
\tan(x + y) =  -  \frac{63}{16}


EXPLANATION


We were given that,

\csc(x)  =  \frac{5}{3}

This implies that,

\sin(x)  =  \frac{3}{5}

We use the Pythagorean identity

\sin^{2} (x)  +  \cos^{2} (x)= 1
to get,


\cos(x)  =  \sqrt{1 - ( { \frac{3}{5} })^{2}}  =  \frac{4}{5}


We were also given that,


\cos(y)  =  \frac{5}{13}

This means that,


\sin(y)  =  \sqrt{1 -  {( \frac{5}{13}) }^{2} }  =  \frac{12}{13}

This is because,


0 <  \: x \:  <  \frac{\pi}{2}


0 <  \: y \:  <  \frac{\pi}{2}

This angles are in the first quadrant so we pick the positive values.

\tan(x + y)  =  \frac{ \sin(x + y) }{ \cos(x + y) }


\tan(x + y)  =  \frac{ \sin(x ) \cos(y)   +  \sin(y)  \cos(x) }{ \cos(x) \cos(y)  -  \sin(x)  \sin(y) }



\tan(x + y)  =  \frac{  \frac{3}{5}   \times  \frac{5}{13}  +   \frac{12}{13}   \times  \frac{4}{5}  }{  \frac{4}{5}  \times  \frac{5}{13}   -   \frac{3}{5}  \times  \frac{12}{13}  }



\tan(x + y) =  -  \frac{63}{16}

The correct answer is D
4 0
3 years ago
At which of the following points do the two equations f(x)=3x2+5 and g(x)=4x+4 intersect?
Basile [38]

Answer:

(\frac{1}{3}, \frac{16}{3} ) and (1, 8 )

Step-by-step explanation:

To find the points of intersection equate f(x) and g(x), that is

3x² + 5 = 4x + 4 ( subtract 4x + 4 from both sides )

3x² - 4x + 1 = 0 ← in standard form

(3x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = \frac{1}{3}

x - 1 = 0 ⇒ x = 1

Substitute these values into either of the 2 functions for corresponding y- coordinates.

Substituting into g(x), then

g(1) = 4(1) + 4 = 4 + 4 = 8 ⇒ (1, 8 )

g(\frac{1}{3} ) = \frac{4}{3} + 4 = \frac{16}{3} ⇒ (\frac{1}{3}, \frac{16}{3} )

3 0
3 years ago
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