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ladessa [460]
2 years ago
9

There is a ratio of 2 boys to 3 girls in a class. Which of the following are correct ratios for the class?

Mathematics
2 answers:
ankoles [38]2 years ago
6 0
All except for letter D
denis23 [38]2 years ago
4 0
All but the second one are correct
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42 is 21% of what number?
Margarita [4]
42 is 21% of 200. This is because 200*0.21 = 42.
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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

7 0
3 years ago
Find (a) the circumference and (b) the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest whole numbe
balandron [24]

Answer:

a)219.8

b)3846.5

Step-by-step explanation:

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b) area is pir^2, and radius is 1/2 of diameter, it would be 3.14*35^2, so 3.14*1225, so 3,846.5 in^2.

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sina ≡ (tana)(cosa)

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= cosa(tana - tanb)/cosa(1 + tanatanb)
(cosas cancel out)
= (tana - tanb)/(1 + tanatanb) ≡ tan(a-b)
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3 years ago
How many 2/3 are in 1?
Alinara [238K]

Answer:

Um 1 if you mean 1/3 then 3

5 0
2 years ago
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