Answer:
13
Step-by-step explanation:
If ABC is equilaterteral then all the angles must be equal and 60°
8x - 44 = 60 add 44 to both sides
8x = 104 divide both sides by 8
x = 13
Answer:
D.
inches.
Step-by-step explanation:
We have been given that the circle with center O has a minor arc BSA with a length of
inches. The central angle is 40°.
To find the circumference of circle we will use formula:
, where
= measure of 360 degrees in radians and
= circumference of circle.
Let us convert measure of central angle into radians.
Upon substituting our given value in the formula we will get,

Cross multiplying we will get,

Hence, the radius of our circle is 27/4 inches.
Since the circumference of circle is
. Upon substituting
we will get,

Therefore, circumference of our given circle will be
inches and option D is the correct choice.
Answer:
4
Step-by-step explanation:
If two chords intersect externally, then the product of the length of the chord and the length of the part outside the circle is a constant.
Thus from the figure,
we can deduce that:
8×3=6×x
collecting the like terms together we get:
24=6x
x=4
Answer:
0.6495
Step-by-step explanation:
This is question based on conditional probability
The probability that a customer plans to make a purchase = 0.32.
The probability that a customer plans not to make a purchase = 1 - 0.32
= 0.68
The probability of responding to an advertisement given that the customer plans to make a purchase = 0.63
The probability of responding to an advertisement given that a person does not plan to make a purchase = 0.16.
Given that a person responds to the advertisement, what is the probability that they plan to make a purchase is calculated as:
0.32 × 0.63/(0.32 × 0.63) + (0.16 × 0.68)
= 0.2016/ 0.2016 + 0.1088
= 0.2016/0.3104
= 0.6494845361
Approximately = 0.6495
The vertex of a quadratic equation is the minimum or maximum point of the equation. Find that, and you have the vertex. <span>To </span>find the x-intercept<span> of a given linear equation, plug in 0 for 'y' and solve for '</span>x'. To find<span> the y-</span>intercept, plug 0 in for 'x<span>' and solve for 'y'.</span>