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2 years ago

Area of the shaded segment=

Mathematics

1 answer:

garik1379 [7]2 years ago

5 0

The area of the entire sector is $(\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi$

The area of the triangle OAB is $\frac{\sqrt{3}}{4}(6^{2})=9\sqrt{3}$ .

So, the area of the segment is $\boxed{6\pi-9\sqrt{3}}$

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I’ve saved £264. I will spend 3/12 of this. How much do I have left?

lara [203]

Hi there! The answer is £198.

If you spend 3 / 12 of a certain amount of money, you have 9 / 12 of the money left.

Simplify the fraction.
9 / 12 = 3 / 4.

To find the amount of money left, we multiply this factor by 264. We get the following
£264 × 3/4 = £264 × 0.75 = £198

Therefore the answer is £198

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3 years ago

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$V(t) = 30\cdot (25)^{\frac{t}{20}}$

The question is asking V(t) for t = 40.

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The point of symmetry of a quadratic equation $y = ax^2+bx+c$ is at its vertice:

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3 years ago

The coordinates of rectangle ABCD are A(1, 2), B(4, 5),C(9, 0) and D(6, -3). What is the area of the rectangle? 18 square units

Natali5045456 [20]

In order to find the area of a rectangle, the formula is L*W (Length multiplied by Width). Our goal is to find these two measurements, so we will take the following steps:
1) Plot the coordinates on a graph (I have attached a visual guide)
2) Using the Pythagorean Theorem, or the Distance formula we can find the length and width: $\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}$
3) We will use these values in the Area formula for a rectangle (L*W)
4) After solving the Area formula with the values retrieved from the Distance Formula we find that the area is roughly 30 units squared.

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3 years ago

A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.

Tpy6a [65]

Answer:

6 meters by 9 meters

Step-by-step explanation:

Step 1: Formula for perimeter of rectangle

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

Step 2: Find the length and width in terms of x

Width = x

Length = 1.5 times width

Length = 1.5x

Step 3: Find x

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

Step 4: Find the length and width

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

6 0

3 years ago