He is 2√19 miles far way from starting point.
Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.
If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles
It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles eastward and 3√ 3 miles northward.
By the Pythagorean Theorem, the distance from his starting point is q:
(7)2 + (3√3)2
=√49 + 27
= √76
= 2√19 .
Learn more about Pythagorean Theorem on:
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Answer:
215 cm³
8.6 cm
Step-by-step explanation:
given,
density = 10.2 g/cm³
mass = 2.193 kg = 2193g
a. Volume = mass / density
=2193 / 10.2
= 215 cm³
b. given that base area = 25cm²
volume = base area x thickness
thickness = volume / base area
= 215 / 25
= 8.6 cm
Answer:
(0.5, 1.3)(0.5, 1.3)
Step-by-step explanation:
Given equations are:
As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.
We can plot the graph of both equations using any online or desktop graphing tool.
We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)
We can see from the graph that the lines intersect at: (0.517, 1.267)
Rounding off both coordinates of point of intersection to nearest tenth we get
(0.5, 1.3)
Hence,
(0.5, 1.3) is the correct answer
Keywords: Linear equations, variables
Answer:
(4×-3)(2x-1)
Step-by-step explanation:
8x²-10x+3
8x²-4x-6x+3
4x(2x-1)-3(2x-1)
(4×-3)(2x-1)
Im not sure about the percent but as a decimal its <em><u>1.6</u></em>
