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makvit [3.9K]
3 years ago
14

Can the measurement from △DEF be determined using only the Law of Cosines? State whether each measurement can be determined usin

g only the Law of Cosines by answering “yes” or “no”.
m∠D =


m∠E =


DE =

Mathematics
1 answer:
quester [9]3 years ago
7 0

9514 1404 393

Answer:

  • ∠D - no
  • ∠E - no
  • DE - yes

Step-by-step explanation:

With a single application of the Law of Cosines, you can only find one of an unknown side or an unknown angle. The other three elements in the 4-variable equation must be specified.

However, a single application of the LoC can be used to find DE. Then, knowing the three sides, either of the unknown angles can be found from an additional application of the LoC.

So, the answer is "it depends." It is yes to all if finding DE first is allowed. It is "no" to the angles if they must be found without finding DE first.

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I need help please.
makkiz [27]

Answer:

see explanation

Step-by-step explanation:

Using the rules of radicals/ exponents

a^{m} × a^{n} = a^{(m+n)}

a^{\frac{m}{n} } ⇔ \sqrt[n]{a^{m} }

Simplifying each term

7\sqrt{x^{3} } = 7x^{\frac{3}{2} }

x\sqrt{9x}

= x × \sqrt{9} × \sqrt{x}

= x × 3 × x^{\frac{1}{2} }

= 3 × x^{(1+\frac{1}{2}) }

= 3x^{\frac{3}{2} }

Subtracting the 2 simplified like terms, that is

7x^{\frac{3}{2} } - 3x^{\frac{3}{2} }

= 4x^{\frac{3}{2} } ← return to radical form

= 4\sqrt{x^{3} }

8 0
3 years ago
Please help me- Math Sucks >:(
lorasvet [3.4K]

Answer:

4x2 and 8 divided by 4

Step-by-step explanation:

I love math !

6 0
3 years ago
Read 2 more answers
A cylinder has a volume of 360 in^3. If the height and radius are multiplied by 2.5, what will the resulting volume be?
4vir4ik [10]
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\quad 
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.5r\\
h=2.5h
\end{cases}\implies V=\pi (2.5r)^2(2.5h)
\\\\\\
V=\pi \cdot 2.5^2\cdot  r^2\cdot 2.5h\implies V=(2.5^2\cdot 2.5)\pi r^2 h
\\\\\\
V=15.625\pi r^2h\impliedby \textit{15.625 of the original}
\\\\\\
\textit{if the original was 360}\qquad 15.265\cdot 360
5 0
3 years ago
What did you learn, observe and discover in this pr
expeople1 [14]

This doesn’t make since

4 0
2 years ago
Multiply. (−0.64)(−2.5) Enter your answer as a decimal in the box.
lubasha [3.4K]
The answer would be 1.6
4 0
3 years ago
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