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pshichka [43]
4 years ago
8

Given rhombus ABCD, find area if angleABC = 60deg AE = 2

Mathematics
1 answer:
Nikolay [14]4 years ago
7 0
All triangles are 30-60-90, therefore the short legs (2) are half as much as the hypotenuse. Therefore the hypotenuse is 4. Because its a rhombus, all sides are congruent, so you have the length and width and can multiply them to get 16 square units.

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The area of a triangle is 32
Serhud [2]
We have the formula A = (h x b) / 2, where A is the area of the triangle, h is the height of the triangle, b is the base of the triangle;
So, 32 =(8 x b) / 2;
Then, 64 = 8 x b;
b = 64 ÷ 8;
b = 8 inches;
7 0
4 years ago
Each marble bag sold by Josh's Marble Company contains 7 yellow marbles for every 5 red marbles. If a bag has 25 red marbles, ho
elixir [45]
5 red : 7 yellow
25 red: ? Yellow

5 x 5 is 25 therefore the multiplier is 5
We multiply 7 by 5 which is 35

Therefore 24 red : 35 yellow

35 yellow marbles
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
Let x denote the number of defective light bulbs in a randomly selected 20-count box from a local hardware store. The variable x
Molodets [167]

Answer:

B

Step-by-step explanation:

because it make the most sense

8 0
3 years ago
Javien purchases a video game for $19. The store charges him 8% sales tax on the purchase. How much will the store charge for th
allochka39001 [22]

Answer:

$20.52

Step-by-step explanation:

19x0.08 (that's 8% or 8/100) = $1.52

$19+$1.52= $20.52 :)

6 0
3 years ago
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