3 8

Mathematics

1 answer:

yaroslaw [1]3 years ago

3 0

It's a, you can just do the vertical line test where if you put a line on that graph and it hits two or more points then it isn't a function but if it only hits 1 then it is

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7 + 22 x 4 - 31 = 85<br> This is for order of operations I don’t know how to do any of this

aniked [119]

Answer:

Step-by-step explanation:

7 + 22 × 4 - 31 = 64

How the answer is 64:

Use BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) for order of operation.

22 × 4 is first which is equal to 88

7 + 88 is next which is 95

95 - 31 is last which is 64.

The answer is 64, not 85.

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3 years ago

Rewrite the following sentence in the passive voice:

Shalnov [3]

Answer:

When the tourists came, the people of Zanzibar extended a warm welcome.

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3 years ago

8. In the diagram below, angle CAE = 39 °. Find the following<br>:) AOC<br>b) OBA

quester [9]

Answer:

a) 78°

b) 39°

Step-by-step explanation:

In circle with center O, DE is tangent at point A and AC is chord (or secant if extended both sides).

Therefore by tangent secant theorem.

$m\angle CAE = \frac{1}{2} \times m\widehat{(AC)} \\\\\therefore 39\degree = \frac{1}{2} \times m\widehat{(AC)} \\\\\therefore m\widehat{(AC)} = 39\degree\times 2\\\red{\bold{\therefore m\widehat{(AC)} = 78\degree}}\\$

Since, measure of central angle of a circle is equal to the measure of its corresponding minor arc.

$\therefore m\angle AOC = m\widehat{(AC)}\\\huge \purple {\boxed {\therefore m\angle AOC = 78\degree}} \\$

Next, by inscribed angle theorem:

$m\angle CBA = \frac{1}{2}\times m\widehat{(AC)}\\\\\therefore m\angle CBA = \frac{1}{2}\times 78\degree \\\\\therefore m\angle CBA =39\degree \\\\\huge \orange{\boxed {\therefore m\angle OBA = 39\degree}}\\... (\because C-O-B) \\$