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densk [106]
3 years ago
12

How do i solve this ? :')

Mathematics
1 answer:
Vesna [10]3 years ago
4 0
I think you are supposed to make the fraction equivalent so you know that 27/9 is 3, so you would do the same thing whatever number is supossed to be under 17 needs to equal to 2 when divided by 9. So you should probably know that 3 * 9 is 18 so x needs to be a number that when subtracted by 5 gives you 18. So x=23. Hope this is right and it helps!
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40 ounces equal less then or greater to 4 lbs
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<span>4 lb is BIGGER. There are 16 ozs in a pound, so 40 oz = 2.5 lb, which is less than 40 pounds</span>
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In order to solve the equation -3x-6=5, the first step is to
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Find area of the shaded region.
Monica [59]

Answer:

The area of the shaded region is about 38.1 square centimeters.

Step-by-step explanation:

We want to find the area of the shaded region.

To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.

The given circle has a radius of 6 cm.

And the given sector has a central angle of 150°.

The area for a sector is given by the formula:

\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}

In this case, r = 6 and θ = 150°. Hence, the area of the sector is:

\displaystyle \begin{aligned}A&=\pi(6)^2\cdot \frac{150}{360}\\ &=36\pi\cdot \frac{5}{12}\\&=3\pi \cdot 5\\&=15\pi \text{ cm}^2\end{aligned}

Now, we can find the area of the triangle. We can use an alternative formula:

\displaystyle A=\frac{1}{2}ab\sin(C)

Where a and b are the side lengths, and C is the angle between them.

Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.

And the angle C is 150°. Hence, the area of the triangle is:

\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)

The area of the shaded region is equivalent to the sector minus the triangle:

A_{\text{shaded}}=A_{\text{sector}}-A_{\text{triangle}}

Therefore:

A_{\text{shaded}}=15\pi -18\sin(150)

Use a calculator:

A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2

The area of the shaded region is about 38.1 square centimeters.

6 0
3 years ago
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