3 years ago

Determine whether the ordered pair is a solution of the given system. (2,14); y> 2x+5 y<4x+8

1 answer:

3 0

Yes, if you plot the two inequalities you'll see that the point (2,14) falls within the space in the graph where the two inequalities intersect.

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Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D

Ivahew [28]

Check the picture below.

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D$

$\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D$

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4 years ago

I will give brainliest to whoever gets it right

DerKrebs [107]

Answer: x + 27 = 17

Step-by-step explanation:

4(x+3) = 4x + 12

3(5-x) = 15 - 3x

4x-3x+12+15

x+27

4 0

3 years ago

30% of the mass of an object is 24 kilograms. Use this fact to find: a 60% of the mass b 10% of the mass c 50% of the mass d the

Mademuasel [1]

Answer:

30% of the mass of an object is 24 kilograms. Use this fact to find: a 60% of the mass b 10% of the mass c 50% of the mass d the whole mass of the object

Step-by-step explanation:

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3 years ago

Write and solve a word problem that matches the diagram shown

lapo4ka [179]

Please include the diagram

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3 years ago

Evaluate. 3/4 minus 3/8 Divided by 2/3

user100 [1]

Answer:

3/16 or 0.1875

Step-by-step explanation:

3/4 - ((3/8)/2/3))

= 3/4 - 3/8 * 3/2

= 3/4 - 9/16

= 12/16 - 9/16

= 3/16 or 0.1875

Hope this help you :3

8 0

3 years ago