For number 1, add the sides of the triangle. They are all given. The answer is 19.
For number 2, you use the formula for circumference, 2 times pi times radius. The answer is 43.96.
For number 3, I assume that 5 is half of one side. You would double 5 to get ten and multiply it by four, since there are four sides in a square. The answer is 40.
For number 4, you would multiply 5 times pi, but don't solve it. ( since the directions are to leave the answer in terms of pi) The answer is 5 pi.
For number 5, add all the sides together like number 1. The answer is 18.
N/2-9=37 and it says I need 20 characters so don’t mind me typing lol
Answer:
Here we do not have the image P, but let's solve this in a general way.
Suppose that we have a point A (x,y)
If we translate the point A n units horizontally (where n can be positive, translation to the right, or negative translation to the left.)
The new point will be (x + n, y)
if we translate the point m units vertically (if m is positive the translation is upwards, if m is negative the translation is downwards), the new point will be (x + n, y + m)
Then if our figure was p (x, y)
The new figure is p(x + 2.5, y + 3.5)
So for every point in the figure, we need to add 2.5 to the x component, and 3.5 to the y-component.
Answer:
The distance between points P(x
1
,y
1
,z
1
) and Q(x
2
,y
2
,z
2
) is given by
PQ=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
+(z
2
−z
1
)
2
(i) Distance between points (2,3,5) and (4,3,1)
=
(4−2)
2
+(3−3)
2
+(1−5)
2
=
(2)
2
+(0)
2
+(−4)
2
=
4+16
=
20
= 2
5
(ii) Distance between points (−3,7,2) and (2,4,−1)
=
(2+3)
2
+(4−7)
2
+(−1−2)
2
=
(5)
2
+(−3)
2
+(−3)
2
=
25+9+9
=
43
(iii) Distance between points (−1,3,−4) and (1,−3,4)
=
(1+1)
2
+(−3−3)
2
+(4+4)
2
=
(2)
2
+(−6)
2
+(8)
2
=
4+36+64
=
104
=2
26
(iv) Distance between points (2,−1,3) and (−2,1,3)
=
(−2−2)
2
+(1+1)
2
+(3−3)
2
=
(−4)
2
+(2)
2
+(0)
2
=
16+4
=
20
= 2
5
I am sorry but I do not see the underlined digit, but I will put it this way. 7 in the thousands place is worth 7000, 2 in the hundreds place is worth 200, 7 in the tens place is worth 70, and 0 in the ones place is worth 0.
Hope this helped!
Nate
