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vichka [17]
3 years ago
14

2. 30 minutes to 18 minutes​

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0

Ratio: 30:18

If you were asking for the ratio-

Compare: 30 minutes is 12 more minutes than 18

If you were asking which one is grater-

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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
there are 360 students in a school 162 of them are girls find the percent of girls find the percent of boys​
Ronch [10]

Answer:

Total number of students = 360

Total number of girls = 120

Total number of boys = x / ?

120/240= 1/2

50%

Step-by-step explanation: To find out the percent of the boys you first

subtract the whole amount of students which is 360 students in total to the number of girls (120) resulting 240. 240 in ratio is 1/2. 1/2 is 50%.

(Not sure, if this helps or not. I try my best to answer questions to make the asker to understand! Sorry, I tried. :c)

7 0
3 years ago
Direction can be indicated by negative and positive numbers.
stiv31 [10]
Negative and Positive numbers dictate direction on a graph. Negative numbers indicate the point is moving left, and positive numbers indicate the point is moving right.
8 0
3 years ago
(Will give brainliest if asked for)
GarryVolchara [31]

A. x <= -12

<u>Explanation:</u>

-3x >= 36

-x >= 36/ 3

-x > = 12

x < = -12

When the negative sign is shifted then the greater than equal to sign reverses to less than equal to.

Therefore, x <= -12

7 0
3 years ago
Which expression is equivalent to the given polynomial expression?
PilotLPTM [1.2K]

Answer:

-4 a^2 - 3 b

Step-by-step explanation:

8 0
3 years ago
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