Answer:
area of the figure A is 7.5m^2
Step-by-step explanation:
figure A is the combination of rectangle and triangle.
so
area of figure A = area of triangle + area of rectangle
= 1/2 X b X h + L X b
= 1/2 X 1 X (1+1+1) + (1+1+1) X (1+1)
= 0.5 X 1 X 3 + 3 X 2
= 1.5 + 6
= 7.5 m^2
Answer: 110°
<u>Step-by-step explanation:</u>
∠A ≅ ∠B
since ∠A = 35° (given), then ∠B = 35°
Use the Triangle Sum Theorem to find ∠C:
∠A + ∠B + ∠Q = 180°
35° + 35° + ∠Q = 180°
70° + ∠Q = 180°
∠Q = 110°
The central angle (∠AQB) ≅ arc AB
since ∠AQB = 110° (solved above), then arc AB = 110°
Answer:
a) 5units
b) (4.5, 4)
Step-by-step explanation:
Let the coordinate of P and Q be P(3, 2) and Q(6, 6)
PQ can be gotten using the distance formula;
PQ =√(6-2)²+(6-3)²
PQ = √4²+3²
PQ =√16+9
PQ =√25
PQ = 5units
Midpoint M is expressed as;
M(X, Y) = {(x1+x2)/2, y1+y2/2}
X = x1+x2/2
X = 3+6/2
X= 9/2
X = 4.5
Similarly;
Y = y1+y2/2
Y = 2+6/2
Y = 8/2
Y = 4
Hence the midpoint of PQ is (4.5, 4)
Answer:
12/13
Step-by-step explanation:
A probability is the number of desired outcomes over the total number of outcomes.
Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.
First, find the number of desired outcomes, and put it over the total number of outcomes.
Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:
52 - 4 = 48
So out of the 52 possible outcomes, 48 are desired. Set up the fraction and
simplify:
48/52
/4 /4
= 12/13
