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andrezito [222]
3 years ago
11

Help me please I haven't been able to figure this one out and I am not that very good at Stem and leaf plots.

Mathematics
1 answer:
klio [65]3 years ago
4 0

Answer:

1 l 0 0 5 5 5

2 l

3 l 7

4 l

5 l

6 l 5

7 l 0

8 l 68

9 l

Step-by-step explanation:

1 l 0 0 5 5 5 =10,10,15,15,15

And so on.

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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
PLEASE ANSWER ASAP!!! Using the given equation find the missing coordinates of the points and then find the slope of the line fo
Andrei [34K]

Answer:

Step-by-step explanation:A.

B.

Slope =

Step-by-step explanation:

We are given the equation of the line as .

A. The co-ordinate is given by

Substituting the value , we get,

implies  implies   i.e. 3x = -1 i.e.

Thus, the co-ordinate is .

B. The co-ordinate is given by

Substituting the value , we get,

implies  implies   i.e. 9y = 0 i.e. y= 0

Thus, the co-ordinate is .

Since, the slope of a line is given by .

We get,

Slope = .

i.e. Slope = .

i.e. Slope = .

Hence, the slope of the line is .

5 0
2 years ago
6cos(20πt-π)+6√3cos(20πt-π\2)
juin [17]

Answer:

<u>Answer</u><u> </u><u>is</u><u> </u><u>-</u><u>6</u><u>t</u>

Step-by-step explanation:

{ \tt{ = (6 \cos(20\pi t)  \cos(\pi)  +  6\sin(20\pi t) \sin(\pi) ) + 6 \sqrt{3} ( \cos(20\pi t)  \cos( \frac{\pi}{2} )  +  \sin(20\pi t)   \sin( \frac{\pi}{2} )) }} \\  = { \tt{ (- 6t + 0) + (0 + 0)}} \\  = { \tt{ - 6t}}

Note that π is 180°

5 0
2 years ago
6x^3+ 10x^2 – 4x<br> -<br> I need help with this question
Westkost [7]

Answer: 2x(3x−1)(x+2)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I need the answer fast please
shusha [124]
The diameter of the circle is needed. But to solve, you would simply multiply the diameter of the circle by pi (3.14).
3 0
2 years ago
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