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2 years ago

What is the area of the figure below A: 22cm2 B: 24cm2 C: 48.5cm2 D: 56cm2

Mathematics

1 answer:

tangare [24]2 years ago

6 0

Answer:

48.5cm²

Step-by-step explanation:

The figure is can be divided into 3 parts:

The square, The rectangle and The triangle

We will be finding the area of each shape.

The square: Area = length * length

Length of square = 3. Area = 3 cm * 3 cm = 9 cm²

The rectangle: Area = length * breadth

Length = 8 cm; Breadth = 4 cm. Area = 8 cm * 4 cm = 32 cm²

The triangle: Area = 0.5 * height * base

Height = 5 cm; Base = 3 cm. Area = 0.5 * 5 * 3 = 7.5 cm²

Base is the shorter side of the triangle that is not the diagonal side (hypotenuse). It is gotten by subtracting the given length of the bottom part of the figure which is 4 cm from the top part of the figure which is 7 cm and it is also the other side of the square that is not given.

Height is the longer side of the triangle that is not the hypotenuse.

It is gotten by subtracting the given length of the right side which is 3 cm from the given length of the left side of the figure which is 8 cm.

Base and height can be used interchangeably.

Adding all the areas together: 9 + 32 + 7.5 = 48.5 cm²

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hjlf

Answer:

2.8

Step-by-step explanation:

using cosine rule

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3 years ago

Which of the following is not a perfect square? A. 50 B. 49 C. 121 D. 1

luda_lava [24]

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3 years ago

Read 2 more answers

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kodGreya [7K]

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So.. we add the price of the shirt, and the amount of tax on the shirt
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3 years ago

Write the equation of the line that

zlopas [31]

Answer:

y=-1/2x+2

Step-by-step explanation:

First, the slope of perpendicular line have negative reciprocal coefficients. In this case the coefficient is 2, The reciprocal of 2 is 1/2 and the negative of 1/2 is -1/2. So x will have a coefficient of -1/2.

Second, find the equation with a slope of -1/2 that passes through (-2,3). There are a few ways to do this. I like to plug the given x value into the expression -1/2x, so -1/2(-2) which equals positive 1 and for the line to pass through the point (-2,3) you need to add 2. So: y=-1/2x+2

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2 years ago

10. A weight hangs on a spring. The vibration period of that weight is the time in which it makes a complete cycle in motion. Su

Alenkinab [10]

The vibration period of the spring will be 0.2 seconds

Explanation

The relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by...

$T= 2\sqrt{\frac{w}{200}}$

Given that, the weight(w) = 2.0 kilograms

So, plugging w = 2.0 into the above equation, we will get...

$T= 2\sqrt{\frac{2.0}{200} } \\ \\ T= 2\sqrt{\frac{1}{100} }\\ \\ T= 2*\frac{1}{10}\\ \\ T= \frac{1}{5}=0.2$

So, the vibration period of the spring will be 0.2 seconds.

8 0

4 years ago