Answer:
D
Step-by-step explanation:
SOH
sinФ = opposite/hypentenous
sin35 = x/20
0.574 = x/20
cross multiply
x = 20(0.574)
x = 11.48
Round to the nearest tenth.
x = 11.5
Perimeter = 304cm (2xlength + 2xwidth)
length = 95cm
total length of painting = 95x2 = 190cm
total width of painting = 304-190 = 114cm
width = 114 divided by 2 = 57cm
When given two end points of a segment say for example (X1,Y1) and (X2,Y2) to get the midpoint of the line or the segment we use the formula,
midpoint =( (X1+X2)/2 , (Y1+Y2)/2 )
therefore in our case the midpoint is (0,1)
hence, (-2 + X2)/ 2 = 0, thus X2 = 2
and (3 + Y2)/ 2= 1 , thus Y2 = -1
Therefore the other end point will be (2,-1). Thus none of the above paper can be used as the other end point.
Answer:
a) CD = 41 m
b) 77.32°
c) 1380 square metres
Step-by-step explanation:
We can divide the trapezium as shown in the diagram below.
a) To find CD, we use Pythagoras Rule:
b) To find <BCD, we use trigonometric function SOHCAHTOA:
sin(BCD) = opp / hyp
sin(BCD) = 40 / 41
sin(BCD) = 0.9756
=> <BCD = 77.32°
c) The area of a trapezium is given as:
A = 1/2 (a + b) * h
where h = height = 40 m
a = top length = 30 m
b = bottom length = 39 m
A = 1/2 * (30 + 39) * 40
A = 1/2 * 69 * 40
A = 1380 square metres
Answer:
It's 2^5
Step-by-step explanation:
2*2*2*2*2=32
2^5=32
