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Anuta_ua [19.1K]
2 years ago
6

Can someone please help me i'll mark brainliest and give a 5 star rating :)))​

Mathematics
1 answer:
Alexxx [7]2 years ago
4 0

Answer:

see below

Step-by-step explanation:

That is a LOT of questions

complement angles add to 90    suppleent angles add to 180

9)  complement = 50   supplelement = 140

13)  compl = 40     suppl = 130  

14) comp = 45        supple = 135

I think you can do the rest, right?

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Eddi Din [679]

Answer:

Area = 31.5 units²

Step-by-step explanation:

Area of the triangle = ½ × base × height

base = 9

height = 7

Substitute

Area = ½ × 9 × 7

Area = ½ × 63

Area = 31.5 units²

7 0
3 years ago
Kathi was working at the ice cream parlor. A customer ordered 3 small ice cream cones for $3.15 each. The customer paid with $10
Kruka [31]
He needs to give him 55cents
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Given sin x = -4/5 and x is in quadrant 3, what is the value of tan x/2
love history [14]

bearing in mind that, on the III Quadrant, sine as well as cosine are both negative, and that hypotenuse is never negative, so, if the sine is -4/5, the negative number must be the numerator, so sin(x) = (-4)/5.


\bf sin(x)=\cfrac{\stackrel{opposite}{-4}}{\stackrel{hypotenuse}{5}}\impliedby \textit{let's find the \underline{adjacent}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2-(-4)^2}=a\implies \pm\sqrt{9}=a\implies \pm 3=a \\\\\\ \stackrel{III~Quadrant}{-3=a}~\hfill cos(x)=\cfrac{\stackrel{adjacent}{-3}}{\stackrel{hypotenuse}{5}} \\\\[-0.35em] ~\dotfill

\bf tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}\qquad \leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\[-0.35em] ~\dotfill

\bf tan\left( \cfrac{x}{2} \right)=\cfrac{~~\frac{-4}{5}~~}{1-\frac{3}{5}}\implies tan\left( \cfrac{x}{2} \right)=\cfrac{~~\frac{-4}{5}~~}{\frac{2}{5}}\implies tan\left( \cfrac{x}{2} \right)=\cfrac{-4}{5}\cdot \cfrac{5}{2} \\\\\\ tan\left( \cfrac{x}{2} \right)=\cfrac{-4}{2}\cdot \cfrac{5}{5}\implies tan\left( \cfrac{x}{2} \right)=-2

4 0
4 years ago
Read 2 more answers
Colin rolls a fair dice and flips a fair coin.
Ilia_Sergeevich [38]

Answer:

8.3%

Step-by-step explanation:

In a simple way, we know that both are independent events, therefore, in the case of the dice it has 6 faces, therefore the probability of 3 coming out is 1/6 and in the case of the coin it only has two options, which means that the probability is 1/2.

Now the final probability is the multiplication of these events, that is:

1/6 * 1/2 = 0.083

Which means that the probability of these two events happening is 8.3%

7 0
3 years ago
Manny wants to proportionally enlarge a rectangular window that has a length of 36 inches and a width of 24.5 inches.
stira [4]

The new width of the window should be 36.75 inches ⇒ 2nd answer

Step-by-step explanation:

The proportionally is two quantities having a constant ratio

The quantities y and x are proportional if:

  • \frac{y}{x} = k, where k is the constant of proportionality
  • y = k x
  • \frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}

∵ Manny wants to proportionally enlarge a rectangular window

- That means the new dimensions are proportion with the

  original dimensions

∴ New dimensions = k × original dimensions

- k is the constant of proportionally

∵ The original length = 36 inches

∵ The new length = 54 inches

- Substitute then in the equation above to find k

∵ 54 = k × 36

- divide both sides by 36

∴ 1.5 = k

∴ The new dimensions = 1.5 × original dimensions

∵ the original width = 24.5 inches

∴ The new width = 1.5 × 24.5 = 36.75 inches

The new width of the window should be 36.75 inches

Learn more:

You can learn more about the dilation in brainly.com/question/2480897

#LearnwithBrainly

4 0
4 years ago
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