Instructions: select the correct answer. you’re given two side lengths of 10 centimeters and 8 centimeters. the angle between the sides measures 40°. how many triangles can you construct using these measurements? 0 1 2 infinitely many

Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.

By calculation, the length of the 3rd side is calculated using cosine law:

c^2  = a^2 + b^2 – 2abcosθ

c^2 = 10^2 + 8^2 – 2(10)(8)cos40

c = 6.44 cm

ANSWER:

1 triangle 

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

hope this .

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