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beks73 [17]
3 years ago
14

St

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0
B : 4% of 780 is 31.20
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In the parallelogram below find why
Mkey [24]
Angle E=130degrees because those two are congruent. Therefore if you 180-130 you'll get the other angle in the triangle with 70degrees and y. 180-130=50degrees. Then add 50 and 70. 50+70=120degrees. A triangle is supposed to have 180 degrees inside.
180-120=60degrees.
Therefore y=60degrees
8 0
3 years ago
Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.​
vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}

\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}

4 0
2 years ago
!!WILL MARK BRAINLIEST!!!<br><br> please provide a small explanation with it too
Ipatiy [6.2K]

Answer:

(-2, 7); (See attachment)

Step-by-step explanation:

x + 2y = 12

7x + 2y = 0

x + 2y = 12

x = -2y + 12

Solve for y:

7x + 2y = 0

7 (-2y + 12) + 2y = 0

-12y + 84 = 0

-12y = -84

y = 7

Solve for x:

x = -2y + 12

x = -2 (7) + 12

x = -2

x = -2, y = 7

4 0
3 years ago
Which of the following statements about parallelograms are always true?
Nady [450]
A. Opposite sides are parallel is correct, because if opposite sides were not parallel, it would be a trapezoid, not a parallelogram.
4 0
3 years ago
Evaluate the expression 3³ + 6( 2 + 3/6 ) =
Ahat [919]
The answer to the expression is 42
6 0
3 years ago
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