(-1.5,3) Y=3 which is up 3 and a horizontal line and 2x+y=0 can be written as y=-2x so in order to get -1.5 you have to make y=3 cause y=3 and when you do that it should look like 3/-2=-2/-2x so x=-1.5
Hello from MrBillDoesMath!
Answer:
No solution is possible using odd consecutive integer
Discussion:
Let "n" be the smaller odd integer. Then
n + (n+2) = 9 =>
2n + 2 = 9 =>
2n = 7 => Oops! 2n is an even integer; 7 is odd. NO integer solution exists
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MrB
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Answer:
angle V = 60 degrees
angle U = 90 degrees
angle W = 30 degrees
This is the last option
Explanation:
Part a: getting angle U:
Let's start by doing the Pythagorean check:
hypotenuse = sqrt [(side1)^2 + (side2)^2]
side1 = 3√3 and side2 = 3 cm
Substitute in the above equation:
hypotenuse = sqrt [ (3√3)^2 + (3)^2]
hypotenuse = 6 cm
This proves that the given triangle is right-angled at U
Therefore:
measure angle U = 90 degree
Part b: getting angle V:
cos theta = adjacent / hypotenuse
theta is angle V
adjacent side = 3 cm
hypotenuse = 6 cm
Therefore:
cos V = 3/6 = 1/2
V = 60 degrees
Part c: getting angle W:
We can get this using two methods:
Method 1:
Angles of triangle = 180
180 = 90 + 60 + angle W
angle W = 180 - (90+60) = 30 degrees
Method 2:
cos theta = adjacent / hypotenuse
theta is W
adjacent = 3√3 cm
hypotenuse = 6 cm
Therefore:
cos W = 3√3 / 6 = √3 / 2
W = 30 degrees
Hope this helps :)
Answer:
64 cubic units
Step-by-step explanation:
Volume = 4 x 4 x 4
Volume = 64 cubic units
Hope that helps!
This is the formula to determine the length of arc
length of arc = angle/360° × circumference
First we should find the circle circumference
c = 2 × π × r
c = 2 × 3.14 × 6
c = 37.68 miles
Second find the length of arc
length of arc = angle/360 × circumference
length of arc = 135/360 × 37.68
length of arc = 3/8 × 37.68
length of arc = (3 × 37.68)/8
length of arc = 113.04/8
length of arc = 14.13
The length of arc is 14.13 miles
