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Scilla [17]
3 years ago
5

Can a triangle have sides with the given​ lengths? Explain.

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0
No because when you add any 2 sides the answer has to be bigger than the 3rd side

ex: 2+7=9
9 is too small, so the tips of the side that is 2ft would not touch the side that is 7ft
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What does it mean to cube something, thank you
nadezda [96]
To multiply it by itself three time eg 2x2x2
5 0
3 years ago
Read 2 more answers
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kupik [55]
The m<B for question 1 is 46 degrees, for question 2 the m<Y is one hundred and seventeen degrees.
8 0
3 years ago
a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
Hunter-Best [27]
What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
3 years ago
A microscope can magnify the object it is looking at 10×4 times. How many times is that? (MCC.8.EE.3) A. 40,000 times B. 40 time
damaskus [11]

Answer:

10×4 = 40

10^4 = 10,000

Step-by-step explanation:

10^4 is another way to write 10⁴ = 10·10·10·10 = 10,000.

Essentially, the exponent tells you how many places to the right of the leading digit the decimal point lies (here, the number of zeros in the number).

_____

<em>Comment on the answer choice</em>

The appropriate answer depends on what you mean by your problem statement. Some microscopes magnify 40 times; others magnify 10,000 times, so we cannot tell the appropriate answer using our knowledge of microscopes.

3 0
3 years ago
Factor the four-term polynomial.
Travka [436]
Group like terms , factor out common variable.

(xz+x) + (yz+y)
x(z+1) + y(z+1)

factor out (z+1)

= (z+1)(x+y)
= solution C.
6 0
3 years ago
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