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Answer:
<em>8 C sometimes</em>
<em>9 64x^8 y^11</em>
<em>10 c 1.28r^2/ t^9</em>
Step-by-step explanation:
<u>Algebraic Operations </u>
Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:
Let's face the questions at hand
8. A number is raised to a negative exponent is negative?
Following the expressions recalled above, let's pick the expression
This is a negative power resulting in a positive number
Now we pick
This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result
<em>Answer: C sometimes </em>
9 simplify(4xy^2)^3(xy)^5
10 simplify(2t^-3)^3(0.4r)^2
Answer:
1.6m
Step-by-step explanation:
The length of the blade is 3.2m
The angle which the blade makes is 30°
Assuming the path of the blade and the length it covers is a right-angled triangle,
The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.
See attached document for better illustration.
Using SOHCAHTOA,
Sinθ = opposite / hypothenus
opposite = x
hypothenus = 3.2
θ = 30°
Sin30 = x / 3.2
X = 3.2sin30
X = 3.2 × 0.5
X = 1.6m
The path which the snow plough clears is 1.6m
A pair of the opposite sides of a hexagon has equal length and this is proved below.
<h3>How to illustrate the hexagon?</h3>It should be noted that a hexagon is a polygon that has six sides.
In this case, it has 6 sides.
The total angles will be:
= (n - 2) × 180
= (6 - 2) × 180
= 720°
Each angle will hence be:
= 720°/6
= 120°
Each angle are equal and this illustrates that the parallel sides are equal.
A diagram is attached to illustrate the pair of parallel sides.
Learn more about hexagon on:
#SPJ1
Answer:
A)82.02 mi
B) 18.7° SE
Step-by-step explanation:
From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.
A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;
a² = b² + c² - 2bc Cos A
Thus, let the distance between the home port and forrest island be x.
So,
x² = 40² + 65² - 2(40 × 65)cos 100
x² = 1600 + 4225 - (2 × 2600 × -0.1736)
x² = 6727.72
x = √6727.72
x = 82.02 mi
B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;
A/sinA = b/sinB = c/sinC
82.02/sin 100 = 40/sinθ
Cross multiply to get;
sinθ = (40 × sin 100)/82.02
sin θ = 0.4803
θ = sin^(-1) 0.4803
θ = 28.7°
From the diagram we can see that from parallel angles, 10° is part of the total angle θ.
Thus, the bearing from Forrest Island back to his home port is;
28.7 - 10 = 18.7° SE
