Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 7/3. Show your work in the PDF version of the test.
5. Find the e-coordinate of the point on the curve : +3y3 = 3ay where the tangent is horizontal. Show your work in the PDF version of the test. 7. How many real roots does the equation ! 9x +c=0 have in the interval (-3,0? Hint: use the Mean Value Theorem (Rolle's Theorem). Show your work in the PDF version of the test. A. At most two real roots B. At least one real roots C. No real roots D....
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
Just need the smallest angle. Two perpendicular sides of a triangle are 5.95 m and 7.87 m long, respectively, Find the length of the third side of the triangia. 9.87 m Find the length of the third side of the triangle Your receipt no. is 161-4284 Previous Tries Find the smallest angle of the triangle in the previous problem Submit Answer Tries 0/10
3.5 m Two sides of a triangle have length 2.5 meters and 3.5 meters, and the angle formed by these two sides has a mea- sure of 60°. Determine the area of the triangle. Note: This is the triangle in Progress Check 3.17 on page 200. 60° B 2.5 m A field has the shape of a quadrilateral that is not a parallelogram. As shown in the following diagram, three sides measure 50 yards, 60 yards, and 70 yards. Due...
O-a22 points STig2 3.3055 Find the area of a triangle with sides of length 13 and 29 and included angle 20, (Round your answer to one decimal place.) Need Help? vaach Bad it te to a Tutor O-022 points STig2 3.3008 29 An isosceles triangle has an area of 33 cm, and the angle between the two equal sides is Sm/6. What is the length of the two equal sides? (Round your answer to one decimal place.) cm Need Help?...
3. Imagine a triangle with an obtuse angle (between 90deg and 180deg) formed by two sides of length 20 units and 45 units. If the area of the triangle is 225 units2, then what is the measure of the unknown angle?
1a. The two shorter sides of a right triangle have the same length. The area of the right triangle is 9.37 square meters. What is the length of the hypotenuse? b. In a right triangle, the sine of an angle is 0.894 and the cosine of the same angle is 0.448. What is the tangent of the angle?
The triangle is right triangle which three sides are a, Squareroot 3a, and 2a, the angle corresponding To 2a is its right angle (90 degree), find the angle corresponding to a, find the angle Corresponding to Squareroot 3a. A speed of 7 mu m/ns is equal to 7000 m/s 70 m/s 7 m/s 0.07 m/s An airplane is going to lading, its touchdown velocity, V_0 = 72.5 m/s, t_0 = 0, then it starts to apply brake and use reverse...
6. Two sides and an angle of a triangle are given. Determine whether the measurements produce one triangle, two triangles, or no triangle. Solve each triangle that results. A. a = 30,C=20, A = 50° B. a = 6.1.c = 4, A = 162° C. a = 10.c = 30, A = 150° D. a = 7, c = 28, A = 12° E. a = 95, C = 125, A = 49° F. a = 1.4.c = 2.9, A...