Find the value of b to the shape

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

6 0

Answer:

b=99°

Step-by-step explanation:

108°+72°+81°+b=360°

b=99°

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Find the area of the figure in the image attached. Round to the nearest tenth if necessary.

cricket20 [7]

Answer:

186 cm²

Step-by-step explanation:

*First we can move the shape around a bit to make it simpler to solve. If we take the triangle from the left side and move it over to the right, it connects with the other piece to create a rectangle. This leave two rectangles total which is much easier to solve.

*To find the length of the right rectangle, you take the 22 cm at the bottom and subtract the 12 cm (which is being used as the length for the left rectangle). This will give you a length of 10 cm long.

Left rectangle:

A = lh

A = 12 (8)

A = 96 cm²

Right rectangle:

A = lh

A = 10 (9)

A = 90 cm²

Total:

A = 90 + 96

A = 186 cm²

4 0

3 years ago

Read 2 more answers

What are the coordinates of the hole in the graph of the function f(x) ?

Vinvika [58]

ANSWER

$(3, \infty )$

EXPLANATION

The given function is

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$

When we plug in x=3 into this function, we obtain,

$f(3) = \frac{0}{0}$

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

$f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}$

This implies that,

$f(x) = x + 3$

The graph this function is a straight line that is continuous everywhere.

To graph

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$
we draw the graph of

$f(x) = x + 3$
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

$(3, \infty )$