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3 years ago

13

I need help on this.

1 answer:

liraira [26]3 years ago

7 0

If the triangles are similar, the proportion of the legs on the left to the legs on the right will be equal. This proportion would look like:

$\frac{2x+1}{3x}=\frac{10}{14}$

(You needed to combine the orange segment and the yellow segment to find the total length of the large triangle).

Now, cross multiply and solve for x:

28x+14=30x

<em>*Subtract 28x from both sides to isolate the variable*</em>

14=2x

<em>*Divide both sides by 2*</em>

7=x

Hope this helps!!

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torisob [31]

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3 years ago

Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

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We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

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But we were given that,

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3 years ago

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tiny-mole [99]

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There are to be 12 people at the party.

Each person is expected to take 1/3 of a pizza.

The total number of pizza needed is therefore:

= No. of people * quantity of pizza

= 12 * 1/3

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<em>Note: Answer would be 6 if each guest wanted 1/2 of a pizza. </em>

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3 years ago