Are the flags similar?

1. If the shapes are on a grid count the amount of grid squares that are located between each end point of the shape. If it’s not on a grid use a ruler to measure the side lengths. You will need to find out the side amounts for both shapes L and S.

2. From there if the L shape is SMALLER than the S shape, then take the S shape’s sides and divide it by the L shape’s sides, and whatever number you get from each of your division problems will be your scale factor. BUT If the L shape is BIGGER than the S shape then easiest way to find out your scale factor is to take the last scale factor you got and convert it into a fraction. For example, if you got 3 then it would be 1/3. Hope this helped!

8 0

3 years ago

Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How

rodikova [14]

The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:

total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3*(100%+4.5%)^4
total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * 1.121622319 * 1.1925186
total money= £14,713.11

8 0

3 years ago

What is the area of the shape below

Bad White [126]

Answer:

The area of the shape is $A=886 \:cm^2$ .

Step-by-step explanation:

The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.

First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of the first rectangle is $A=34\cdot 16=544\:cm^2$

The area of the second rectangle is $A=11\cdot19=209\: cm^2$

The area of a triangle is given by the formula $A=\frac{1}{2} bh$ where b is the base and h is the height of the triangle.

The area of the triangle is $A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2$

Finally, add the areas of the simpler figures together to find the total area of the composite figure.

$A_{composite\:shape}=544+209+133=886 \:cm^2$

3 0

3 years ago