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4 years ago

22, 55, 99, 1414, _, arithmetic, geometric, or neither.

Mathematics

1 answer:

mixer [17]4 years ago

6 0

I believe it's neither. There is no common difference or ratio. They keep changing, it's not consistent.

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Find the area of the shaded sector. Leave your answer in terms of π.

IgorLugansk [536]

Answer:

16π m2

Step-by-step explanation:

The area of a sector (A) is given by:

$A=\frac{\theta}{360}* \pi r^2$

Where

$\theta$ is the angle of the sector

r is the radius of the circle

<em>We can see that the angle of the sector is 90, and the radius of the circle is 8. Plugging these into the formula, we get:</em>

$A=\frac{90}{360}* \pi (8)^2\\A=\frac{1}{4}* \pi (64)\\A=16 \pi$

The area is 16π m2

3 0

4 years ago

Read 2 more answers

80 marked up by 37.5 percent

Mariana [72]

Make 37.5% into decimal form : Since it is being marked up, add 100% = 1.375
1.375 x 80
1.375
x 80
_________
0000
+11000
_________
110.000

80 marked up by 37.5% is 110.

7 0

3 years ago

Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equ

astraxan [27]

Answer:

The Point in the first quadrant is $(\sqrt[2]{2.0268} ,6.559)$ .

Step-by-step explanation:

Since

we know the general equation of the circle whose center is at (h,k) and radius is r that is

$(x-h)^2+(y-k)^2 =r^2$

we have given center is (0,3) and radius is r= 4

substituting in the general equation of the circle we get

$x^2 +(y-3)^2 = 16$

Now substituting the y= 2.5x + 3 in the above equation we get

$x^2 +(2.5x + 3-3)^2 = 4^2$

$x^2 +6.25x^2 = 16$

here subtracting 16 from both sides and also perform addition

we get

$7.25x^2 = 16$

dividing both sides by 7.25 we get

$x^2 =2.2068$

taking square root both sides we get

$x= \frac{+}{-}\sqrt[2]{2.0268}$

but we need positive value of x because both x and y are positive in the first quadrant

that is

$x= \sqrt[2]{2.0268}$

substituting this into the given equation of the line we get

y = 2.5( $\sqrt[2]{2.0268}$ )+3

y = 6.559

so the point in the first quadrant is ( $\sqrt[2]{2.0268}$ ,6.559)

that is required

6 0

4 years ago

Read 2 more answers

Approximately how much fabric of each color will be needed to make a single parachute canopy?

Eva8 [605]

Answer:88.5ft

Step-by-step explanation:

5 0

3 years ago

A rectangular picture frame has perimeter of 58 inches. The height of the frame is 18 inches. What is the width of the frame?

Stells [14]

Answer:

11 inches

Step-by-step explanation:

A rectangle's perimeter can be found using:

p=2l+2w

We know that the perimeter, p, is 58, and the length/height is 18. Therefore, we can substitute those values in

58=2(18)+2w

Multiply 2 and 18

58=36+2w

Since we want to find the width, we need to get w by itself. First, subtract 26 from both sides

58-36=36-36+2w

22=2w

Since w is being multiplied by 2, divide both sides by 2. This will cancel out the 2, and leave w by itself.

22/2=2w/2

11=w

So, the width is 11 inches

8 0

3 years ago

22, 55, 99, 1414, _____, ____arithmetic, geometric, or neither.

22, 55, 99, 1414, _, arithmetic, geometric, or neither.