Solution-
We can solve this problem by using the concept of slope.
Slope of a line joining two points A (x1,y1) and B (x2,y2) is given by-
slope of AB= (y2-y1)÷(x2-x1)
We have given the vertices of a triangle as D(-4,1), E(3,-1) and F(-1,-4).
∴ slope of line joining D and E= (-1-1)÷(3-(-4))= -2/7
slope of line joining D and F= (-4-1)÷(-1-(-4))= -5/3
and slope of line joining E and F= (-4-(-1))÷(-1-3)= 3/4
∵ Two lines are perpendicular to each other if product of their slopes= -1
Statement 1 is wrong because, (slope of DE)×(slope of EF)=(-2/7)×(3/4)=-3/14≠ -1
Statement 2 is wrong because, (slope of DE)×(slope of DF)=(-2/7)×(-5/3) =10/21≠ -1
Statement 3 is wrong because,(slope of DF)×(slope of EF)=(-5/3)×(3/4)= -5/4≠ -1
∴Statement 4 is correct.
Decimal 6/10
6/10 ):2
3/5
0,6
Answer:
$2.95
Step-by-step explanation:
$22.95-$20
Answer:
Option (D) is correct.
Shyla spend $30.94 on the fabrics
Step-by-step explanation:
Shyla has a box with the dimensions of 7 inches, 11 inches, 8 inches. Since it has 3 sides thus, it is form of a cuboid.
Here Length (l) = 7 inches
Breadth (b) = 11 inches
Height (h) = 8 inches
Surface area of Cuboid = 2( lb +bh + hl )
Substitute the values, we get,
Surface area of Cuboid = 2( 7 × 11 + 11× 8 + 7 × 8 )
= 2( 77 +88 +56)
= 422 square inches.
Given: the fabric costs 7 cents per square inch = $0.07 per square inches.
Money Shyla spend on the fabric = total area × cost of fabric per square inch
= 442 × 0.07
= $30.94
Thus, Shyla spend $30.94 on the fabrics.
So , Option (D) is correct.
