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AlekseyPX
4 years ago
5

Which is a graph of a proportional relationship?

Mathematics
1 answer:
skelet666 [1.2K]4 years ago
3 0

Step-by-step explanation:

Is a straight line through the origin

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What is the area of the shape below
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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 <em>b</em> is the base and <em>h</em> is the height of the triangle.

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

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4 years ago
In ΔOPQ, the measure of ∠Q=90°, OQ = 20, PO = 29, and QP = 21. What is the value of the sine of ∠P to the nearest hundredth?
Rufina [12.5K]

Answer:

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Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the sine is the ratio ...

  Sin = Opposite/Hypotenuse

For angle P, the opposite side is OQ. The hypotenuse is the longest side, PO. So, the sine is ...

  sin(P) = OQ/PO = 20/29

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