Question 10(Multiple Choice Worth 1 points)

Mathematics

1 answer:

Rom4ik [11]3 years ago

3 0

Answer:

if 24miles in 2gallons the 12 miles per gallon is one gallon

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What is the answer for <br><br> 5[d]=20

anzhelika [568]

The answer is 4
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3 years ago

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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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3 years ago

What is the solution of the inequality -6x-17≥8x+25

Aleksandr-060686 [28]

-6x -17> 8x + 25.
Get x on one side; Subtract 8x from both sides.
-14x -17 > 25.
Add 17 to both sides to get x by itself.
-14x>42.
Divide both sides by -14 (remember to flip the inequality when dividing by negatives).
x <_ 3 is your solution (line under the inequality).
I hope this helps!

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3 years ago

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Convert − 6 7to a decimal. Go out 3 decimal places and round as appropriate.

Sholpan [36]

Answer:

-0.85714285714

Rounded answer:

-0.86

Step-by-step explanation:

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Tyson has a collection of 60 sports ribbons. Of these ribbons, 30% are first place ribbons, 45% are second place ribbons, and th

sesenic [268]

The answer is 15.

30% of 60 = 18
45% of 60 = 27
27 + 18 = 45
60 - 45 = 15

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3 years ago