We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to
.
Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.

We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.
Now we will plug given values in our formula,

Therefore, the measure of d is 121 degrees.
Answer:
b
Step-by-step explanation:
cause si papi munano
Answer:
64x^12 / y^20
Step-by-step explanation:
(4x^3y^-5)^4
<em>Distribute the exponential value of 4 to all terms in the parentheses.</em>
4^4 * x^(3*4) * y^(-5*4)
<em>Multiply each exponent.</em>
64x^12 * y^-20
<em>Make the negative exponent positive by making it a fraction.</em>
64x^12 / y^20
Answer:
The area of the shaded region is about 58.9 square inches.
Step-by-step explanation:
To solve this question, let's recall some facts.
We know that the area of a circle can be defined as the following:

where r is the radius of the circle.
We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.
We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.
Now, we can solve the problem.
Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:




After approximation, I can conclude that the area of the shaded region is 58.9 square inches.
F(x) = -1.50x + 40.....basically, this is saying that Gloria has 40 bucks in her lunch account and each meal costs her 1.50.
By changing the -1.50 to -2.75 means she is paying more for her meals...the cost of a meal went up from 1.50 to 2.75.