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2 years ago

If the radius is 18 cm and the angle at centre of circle is 120° then the

Mathematics

1 answer:

PolarNik [594]2 years ago

4 0

The area of a sector is 339.336 cm²

The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.

It can be determined by using the formula:

$\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }$

Given that;

Radius r = 18 cm
Angle θ = 120°

Then. the area of the sector can be calculated as:

$\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }$

$\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }$

A = 339.336 cm²

Learn more about the area of a sector here:

brainly.com/question/7512468?referrer=searchResults

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For the point Pleft parenthesis 5 comma 2 right parenthesis and Qleft parenthesis 12 comma 7 right parenthesis, find the distan

Viktor [21]

Answer:

The distance is $\sqrt{74}$ which is approximately equal to 8.602 units

The midpoint is (8.5 , 5.5)

Explanation:

1- Getting the distance:

The distance between two points can be calculated using the following rule:

$Distance = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$

The given points are:

(5,2) represents (x₁ , y₁)

(12,7) represents (x₂ , y₂)

Substitute with the givens in the above equation to get the distance as follows:

$Distance = \sqrt{(12-5)^2+(7-2)^2}=\sqrt{74} = 8.602 units$

2- Getting the midpoint:

The midpoint of two points is calculated as follows:

$Midpoint = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})$

The given points are:

(5,2) represents (x₁ , y₁)

(12,7) represents (x₂ , y₂)

Substitute with the givens in the above equation to get the distance as follows:

$Midpoint = (\frac{5+12}{2} , \frac{2+7}{2}) = (8.5 , 4.5)$

Hope this helps :)

3 0

3 years ago

David is looking for the best deal on a laptop that regularly costs $719. Help him compare the price of the laptop at a

NemiM [27]

Answer:

A) $287.60.

B) $323.55.

C) David would pay more for the laptop at the store.

Step-by-step explanation:

A) Given that the store's website is offering the laptop at a 60% discount off the regular price of $ 719, ignoring tax and shipping, the sale price is obtained through the following calculation:

100 - 60 = 40

719 x 0.40 = X

287.6 = X

Therefore, in this case the sale price would be $ 287.6.

B) Since the store is having a sale, offering a 50% discount off the regular price of the laptop, and David also has an in-store-only coupon for an additional 10% off the sale price, ignoring tax, the price of sale is obtained through the following calculation:

(719 x 0.5) x 0.9 = X

359.5 x 0.9 = X

323.55 = X

Thus, the sale price in the present case would be $ 323.55.

6 0

3 years ago

What is the place value of the 4 in 1,453,897

Oksanka [162]

One hundred thousand, or in this case, four hundred thousand.

7 0

3 years ago

Marcel had drama practice 8.75 hours from Monday to Friday if he practices the same amount each day how many hours does marcel s

AURORKA [14]

It would be 1.75 hours each day

5 0

3 years ago

WILL GIVE BRAINLIEST

jok3333 [9.3K]

Answer:

J'(-2,5)

K'(-7,5)

M'(-3.5,2)

L'(5.5,2)

Step-by-step explanation:

Please refer to the image attached to this answer.

Trapezoid JKLM is reflected over the x-axis, what do we notice about the ordered pairs of the original figure and the ordered pairs of its reflection over the x-axis is described below.

Point J , K L and M , when reflected over x axis , there distance from the y axis remains the same in second quadrant. the x coordinate becomes negative however the y coordinates remains the same.

The coordinates will be as shown in the image attached.

3 0

3 years ago

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