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3 years ago

In the diagram of circle o, what is the measure of ZABC? O 30° O 40° O 50° O 60

Mathematics

2 answers:

denpristay [2]3 years ago

7 0

Answer:

30°

Step-by-step explanation:

Line AB and BC are tangents to the given circle.

$\angle \: ABC = \frac{1}{2} ( 210 - 150)$

$\angle \: ABC = \frac{1}{2} (60) = 30 \degree$

Alternatively, <ABC and <AOC are supplementary because AB and BC are tangents.

$\angle \: ABC + 150 \degree = 180 \degree$

$\angle \: ABC = 180 \degree - 150 \degree = 30 \degree$

The correct choice is A.

netineya [11]3 years ago

3 0

Answer:30

Step-by-step explanation:

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The function h(t)=-4.92t^2+17.69t+575 is used to model an object being tossed from a tall building, where h(t) is the height in

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We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575

</span> For the domain we have:
<span> </span>We match zero:
-4.92t ^ 2 + 17.69t + 575 = 0
We look for the roots:
t1 = -9.16
t2 = 12.76
We are left with the positive root, so the domain is:
[0, 12.76]

For the range we have:
We derive the function:
h '(t) = - 9.84t + 17.69
We equal zero and clear t:
-9.84t + 17.69 = 0
t = 17.69 / 9.84
t = 1.80
We evaluate the time in which it reaches the maximum height in the function:
h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
h (1.80) = 590.90
Therefore, the range is given by:
[0, 590.9]

Answer:
the domain and range are:
domain: [0, 12.76] range: [0, 590.9]

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3 years ago

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If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per pe

Sonja [21]

Answer:

$Z= 75*6 -250=200$

So then the correct answer is B. $200.

Step-by-step explanation:

Notation

Let X be the average contribution size before John makes his contribution.

Let Y be the total contribution size before John makes his contribution.

Let Z be John's contribution.

We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount

$1.5 X = 75$