1) In △XYZ , XZ=7 , YZ=7 , and XY=6
What is the area of the triangle?
Enter your answer, in simplified radical form, in the box.

2) The arc length of an arc subtended by an angle measuring 13π18 radians is 18.4 inches.
What is the radius of the arc?
A) approximately 6.5 inches
B) approximately 7.3 inches
C) approximately 8.1 inches
D) approximately 12.6 inches

3) The radius of a circle measures 7 inches. A central angle of the circle measuring 4π15 radians cuts off a sector.
What is the area of the sector?
Enter your answer, as a simplified fraction, in the box.

Question 1.

The sketch of △XYZ is shown in the attachment .

Area of triangle XYZ

The base is |XY|=6.

We use the Pythagoras Theorem to find the height, h as follows:

The area then becomes:

The area of the triangle is 6√10 square units.

Question 2

We want to find the radius of an arc that subtends an angle of

radians and arc length is 18.4 inches.

We substitute these values into the following relation and solve for r.

This implies that:

C) approximately 8.1 inches

Question 3.

The area of a sector in radians is given by:

From the question the radius is r=7 inches and

We substitute into the formula to get:

square inches

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: