When two triangles are congruent they<span> will </span>have<span> exactly the </span>same <span>three sides and exactly the </span>same<span> three angles. The equal sides and angles may not be in the </span>same<span> position (</span>if<span> there is a turn or a flip), but </span>they<span> are there.</span>
Answer:
0.347
Step-by-step explanation:
n = 3
p = 1/6
r = 1
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
P = ₃C₁ (1/6)¹ (5/6)³⁻¹
P = 0.347
Or, using a calculator:
P = binompdf(n, p, r)
P = binompdf(3, 1/6, 1)
P = 0.347
Answer:
The volume of the glass is 217.8 cm³
Step-by-step explanation:
If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.
Let v represent the volume of the glass.
Then (3/7)v + 70 cm³ = (3/4)v.
We need to solve this for v.
Here the LCD is 28. Thus,
(3/7)v + 70 cm³ = (3/4)v → (12/28)v + 70 cm³ = (21/28)v.
Subtracting (12/28)v from both sides, we get:
70 cm³ = (9/28)v.
We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:
(28/9)(70 cm³) = v
The volume of the glass is 217.8 cm³
Answer:
Step-by-step explanation:
7/3 * 2/3
14/3 * 1/3
Answer:
31.411
Step-by-step explanation:
6.1+4.55+1.09+15.9+3.771= 31.411