1)Shade 56 of the cubes
2)0.056
Answer:
1. P(P) = 8/20 = 0.4
2. P(G) = 12/20 = 0.6
Step-by-step explanation:
Given;
Number of green marbles G = 12
Number of purple marbles P = 8
Total T = 12+8 = 20
The probability that you choose a purple marble P(P) is;
P(P) = number of purple marbles/total number of marbles
P(P) = P/T = 8/20 = 0.4
P(P) = 0.4
The probability that you choose a Green marble P(G) is;
P(G) = number of Green marbles/total number of marbles
P(G) = G/T = 12/20 = 0.6
P(G) = 0.6
Answer:
m<N = 76°
Step-by-step explanation:
Given:
∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).
m<J = 64° (given)
Required:
m<N
SOLUTION:
m<K = m<J (base angles of an isosceles ∆ are equal)
m<K = 64° (Substitution)
m<K + m<J + m<JLK = 180° (sum of ∆)
64° + 64° + m<JLK = 180° (substitution)
128° + m<JLK = 180°
subtract 128 from each side
m<JLK = 180° - 128°
m<JLK = 52°
In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.
Thus:
m<MLN = m<JKL (vertical angles are congruent)
m<MLN = 52°
m<M = m<MLN (base angles of isosceles ∆MNL)
m<M = 52° (substitution)
m<N + m<M° + m<MLN = 180° (Sum of ∆)
m<N + 52° + 52° = 180° (Substitution)
m<N + 104° = 180°
subtract 104 from each side
m<N = 180° - 104°
m<N = 76°
Answer:
14 yards
Step-by-step explanation:
the area of a triangle is 0.5×b×h
so
plug in what you have
0.5×b×3=21
(3x0.5)b=21
1.5b=21
b=21/1.5
b=14
