Answer:
608 ft^2
Step-by-step explanation:
The formula for calculating surface area of a triangular prism is
bh + 2ls + lb (b : base, h : height, l : length)
12×8 + 2×16×10 + 16×12 = 608 ft^2
Answer:
a. ∠D'A'B'
Step-by-step explanation:
From the graph it is clear that the transformation doesn't affect the size and shape of the figure ABCD.
Only the coordinates of the points are changed with the length of each side remaining the same.
Hence the corresponding angle values will also remain unaltered.
∴ ∠DAB = ∠D'A'B'
Answer:
The correct option is C). (9,4)
The coordinates of a point N is (9,4)
Step-by-step explanation:
Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by
P=
Given that point, M is lying somewhere between point L and point N.
The coordinates of a point L is (-6,14)
The coordinates of a point M is (-3,12)
Also, LM: MN = 1:4
We can write as,
Let,
Point L(-6,14)=(X1, Y1)
Point M(-3,12)=(x,y)
Point N is (X2, Y2)
m=1 and n=4
M(-3,12)=
M(-3,12)=
M(-3,12)=

(-15)=X2-24
X2=9

(60)=Y2+56
Y2=4
Thus,
The coordinates of a point N is (9,4)
Result: The correct option is C). (9,4)
Answer:
$83.46
Step-by-step explanation:
24 + 54 =78
78 × 7% = 5.46
78 + 5.46 = $83.46
Answer:
x=21°. :Angles subtended by the same arc
y=42°. :180-(117+21),angles subtended by the same arc