HELP IN NEED!

Mathematics

1 answer:

laiz [17]3 years ago

6 0

Answer:

$AB=12\sqrt{3}\ cm$

Step-by-step explanation:

If AB is tangent to the circle, then angle ABO is right angle and triangle AOB is special $30^{\circ}-60^{\circ}-90^{\circ}$ triangle. In this triangle, the leg that is opposite to the angle of 30° is half of the hypotenuse. Thus,

$AO=2BO=2\cdot 12=24\ cm.$

By the Pythagorean theorem,

$AB^2=AO^2-BO^2,\\ \\AB^2=24^2-12^2,\\ \\AB^2=576-144=432,\\ \\AB=12\sqrt{3}\ cm.$

You might be interested in

A boy flying a kite is standing 30 ft from a point directly under the kite. If the string to the kite is 50 ft long, what is the

masha68 [24]

Answer:

250

Step-by-step explanation:

because if he's directly under it that means it's a straight line

5 0

4 years ago

Read 2 more answers

Let f(x) = -6x + 3 and g(x) = 5x + 4. Find and state its domain. -30x2 - 9x + 12; all real numbers except x = 4 -18x2 - 39x + 20

Vera_Pavlovna [14]

Unsure of whether this is a composite function or not. It does look like you've multiplied f(x) and g(x) together.

Looking at <span>-30x2 - 9x + 12, we see immediately that this is a polynomial function. Because of that, the domain is the set of all real numbers. The graph of this poly opens down, so the max value is at the vertex, x = -b / (2a).

Here a= -6 and b= -9, so this x-value is -(-9) / (2*(-6)), or x = 9/12, or x = 3/4.

By subst. 3/4 for x in the poly., we find that the max y value is 4.83. Thus,the rante is (-infinity, 4.83].</span>

5 0

3 years ago

Which statement is NOT true about elements of

gulaghasi [49]

Answer:

The numbers i and V3 are elements of the set.

Step-by-step explanation:

The rational numbers are those which can be written as fractions. These are the numbers which can be repeating elements and terminating decimals. All integers can be set of rational numbers. The statements which is not true is statement which states that numbers i and V3 are elements of the set.

3 0

3 years ago

Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro

Vinvika [58]

Answer:

40.1% probability that he will miss at least one of them

Step-by-step explanation:

For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$