The word greatest in a word problem tells you to do GCF and the word least in a problem means to use the LCM
Answer:
No real root.
Complex roots:
Step-by-step explanation:
There are no two integers whose product is 5 and whose sum is 2, so this trinomial is not factorable. We can use the quadratic formula.
Since we have a square root of a negative number, there are no real roots. If you have learned complex numbers, then we can continue.
Answer:
15
Step-by-step explanation:
2
4
6
8
10
there are 5 between 1-10
so 3*5=15 between 1-30
Answer:
6. 36°
7. 33.1 cm
Step-by-step explanation:
6. The tangent function relates the sides of a right triangle to the acute angles. Here, the angle west of south that is the direction of the ship from harbour is related to the distances by ...
tan(angle) = (18 km)/(25 km)
Then the angle can be found using the inverse tangent function:
angle = arctan(18/25) ≈ 35.75°
The direction back to the harbour is this same angle east of north. Since bearing angles are measured clockwise from north, the desired bearing is 36°.
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7. The cosine function relates the hypotenuse of a right triangle to the side adjacent to the angle of interest. Here, we have ...
cos(72°) = (diameter of glass)/(straw length to glass rim)
straw length to glass rim = (diameter of glass)/cos(72°) ≈ (9 cm)/0.309017
straw length to glass rim ≈ 29.1 cm
The straw extends 4 cm above the rim of the glass, so is 4 cm longer than this calculated value. The straw is about 33.1 cm long.
