Find the measure of the angle maked in

f rays CA and DB are angle bisectors

34.0 N when it’s not in the water. When it’s submerged in water (the density of water is 1.00 x 103 kg/m3) the scale now reads 27.0 N. (a) What is the density of the block? (b) If you suspended another object from the block that has a density of 3.20 x 103 kg/m3, with both objects submerged, what would the object's mass need to be for the scale to once again read 34.0 N? Note: Part (a) is worth 7 points, and part (b) is worth 8 points.

asure of the eighth interior angle.

a circle if we need to find the area to within 0.5%?" that problem using differentials.

onding real-life distances is 127 km. Find the longest of the real-life distances.

s of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink? 5. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k? 9. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole. 22. What is the greatest value of c for which the roots of the equation x^2 + 4x + c = 0 are real? 24. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places. 7, 24 and 25 A._________________ (smaller value) B._________________ (larger value)

2. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places. A._______________________ (Smaller Value) B. _______________________ (Larger Value) 3. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole. 4. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k? 5. If 8 ounces of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink? 6. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value of x?

les. Draw a neat diagram and find the distance between the instants when the lighthouse 040° T and 120° T. HINT: This is NOT a problem to be solved using cosine rule. Since the distance is constant, the ship will travel along the arc. You should therefore use radian measure to workout the distance along the arc. Also remember that all bearings are from seawards . 2, The length of a shadow of a vertical flag mast 2.5 meters high is 5.2 meters (shadow's length). Find the sun's altitude. 3, From a ship, a light on the edge of a breakwater bore 045° T . The ship was steering a course of 060° T. After travelling for 30 minutes, the same light bore 280° T and distance off 2.0 nautical miles. Find the speed of the vessel.