Answer:
Pythagorean's theorem: a²+ b²= c²
Sines: sin A = a/c, sin B = b/c.
Cosines: cos A = b/c, cos B = a/c.
Tangents: tan A = a/b, tan B = b/a.
Step-by-step explanation:
For example, if the side a = 22 and the angle A = 41°, we can use a sine and a tangent to find the hypotenuse and the other side. Since sin A = a/c, therefore c = a/sin A = 22/sin 41. Using a calculator, this is 22/0.6561 = 33.5314. Also, tan A = a/b, so b = a/tan A = 22/tan 41 = 22/0.8693 = 25.307.
Answer:
C
Step-by-step explanation:
Using the rule of exponents
= 
Note that 8 = 2³, thus
= 
= 
= 2²
Distributive Property is when you have an equation similar to this: 7(9+6c). And expanded form for 475 is 400+70+5, so the answer would be 9(400+70+5), because it has both expanded form and distributive, and it's also how you'd solve regardlessly.
Answer: k=0 or k=−10
Step-by-step explanation: Let's solve your equation step-by-step.
3k(k+10)=0
Step 1: Simplify both sides of the equation.
3k2+30k=0
Step 2: Factor left side of equation.
3k(k+10)=0
Step 3: Set factors equal to 0.
3k=0 or k+10=0
k=0 or k=−10
The radius of the soap bubble=6.6 mm
The diameter of the soap bubble=13.2 mm
<u>Step-by-step explanation:</u>
The volume of the soap bubble is given in the problem and using this information we have to calculate its radius and diameter.
The soap bubble is in the shape of a sphere and we can use the equation of the volume of the sphere in this problem.
The radius of the soap bubble is 6.6 mm.
The diameter of the soap bubble is 13.2 mm
