Answer:
x = 50
Step-by-step explanation:
Angles of a triangle add up to 180°. So the third angle of the triangle on the right is:
180° − 43° − 57° = 80°
Vertical angles are congruent, so the angle on the other side is also 80°. Therefore:
x° + x° + 80° = 180°
2x° = 100°
x = 50
Answer:
Step-by-step explanation:
One pound is 16 ounces multiply that with 48. You’d get 768.
Subtract that with 755 and get 13 ounces.
Labrador Retriever weights more
1 quart = 32 fluid ounces
so 96÷32=3
Answer:
x=-11, -1, and 3
Step-by-step explanation:
x^3+9x^2-25x-33=0
There are formulas to solve cubics, but that probably is not the way you are expected to go. Here is a trial and error approach that works in this case.
Assume that the cubic can be factored and that the roots are r1, r2, and r3. Then the factored form is
(x-r1)(x-r2)(x-r3)=0
This shows that the constant must equal the product of the roots.
(r1)(r2)(r3)=-33
One possibility is that the roots are integers. In this case, a factor of 33 might work. Prime factorization of 33 gives 3 and 11. Try 3. Then (x-3) is a factor.
Divide the cubic by (x-3). It works. the result is
x^2+12x+11
This has factors of (x+11) and (x+1). Therefore, the roots are 3, -1, and -11
Cosine is adjacent over hypotenuse so b/6 since we got those from tangent and sin
