The triangle is acute. Since all triangles have 180 degrees, you can find the third angle by subtracting the sum of the other angles from 180.
180 - (25 + 87) = third angle
180 - 112 = third angle
68 = third angle
Since all three angles are less than 90 degrees, it is an acute triangle.
Answer:
Josie bought 40 adult tickets and 32 children tickets.
Step-by-step explanation:
x+y=72
22x+10y=1200
-----------------------
x=72-y
22(72-y)+10y=1200
1584-22y+10y=1200
1584-12y=1200
12y=1584-1200
12y=384
y=384/12=32
x+32=72
x=72-32=40
x=40, y=32. (40, 32)
Please use " ^ " to indicate exponentiation: <span>y=−0.5x^2+8x
Examining this function, we see that its graph is a vertical parabola opening down.
You did not supply instructions for this problem.
However, one could guess that you might want to find the highest point of the grasshopper's path. To do this, find the vertex: Find the x value defined by
x = -b/(2a). Here, a= -0.5 and b= 8. Thus, the vertex is at x = -8/(2[-0.5]), or
x -8/(-1) = 8 units. The corresponding y value is then
y = </span><span>−0.5*8^2+8(8) = -0.5(64) + 64, or 32 units.</span>
Answer:
The population density for the village and the estate together is 112.5 people per square kilometer.
Step-by-step explanation:
The statement is incorrectly written. Correct form is described below:
<em>A village has an area of 6 square kilometers and a population density of 600 people per square kilometer. An estate stituated next to the village has a population of 800 and a population density of 400 people per square kilometer. Work out the population density, in people per square kilometer, for the village and the state together. </em>
Dimensionally speaking, the population density of the village and the estate together (
), measured in people per square kilometer, is defined by this expression:
(1)
Where:
, 
- Population of the village and the estate, measured in people.
, 
- Area of the village and the estate, measured in square kilometers.
First, we find the population of the village:
Then, we determine the area of the estate:
If we know that , 
, 
and , then the population density of the village and the estate together is:
The population density for the village and the estate together is 112.5 people per square kilometer.
6 out of 12 is 6/12.
As you can see, 6 is half of 12 so the simplest form of this fraction is 1/2.
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