Answer:
Step-by-step explanation:
The given figure is an hexagonal pyramid. It has a hexagonal base and six triangular lateral faces. The formula for determining the surface area of the pyramid is expressed as
Surface area = 3ab + 3bs
Where
a represents the apotherm which is the distance from each side of the hexagon to the center.
b represents the base length
s represents the slant height of the hexagonal base.
From the information given,
a = 5.2 cm
b = 6 cm
s = 12.2 cm
Surface area = (3 × 5.2 × 6) + (3 × 6 × 12.2) = 93.6 + 219.6 = 313.2 cm²
Answer:
- B. The probability that the student received a grade better than C is 0.45
Step-by-step explanation:
<u>Total number of students:</u>
- 15 + 30 + 35 + 16 + 4 = 100
<h3>Statements</h3>
A.
- p(<D) = 4/100 = 0.04
- 0.04 ≠ 0.2
- Incorrect
B.
- p(>C) = (30 + 15)/100 = 45/100 = 0.45
- 0.45 = 0.45
- Correct
C.
- p(not A or B) = (100 - 15 - 30)/100 = 55/100 = 0.55
- 0.55 ≠ 0.45
- Incorrect
D.
- p(B or C) = (30 + 35)/100 = 65/100 = 0.65
- 0.65 ≠ 0.35
- Incorrect
Answer:
(x-3)^2+(y+2)^2=25
Step-by-step explanation:
c=(a,b) coordinates of center of circle
(x-a)^2+(y-b)^2=r^2 circle equation
a=3 b=-2 r=5
(x-3)+(y+2)=5^2
(x-3)^2+(y+2)^2=25
Answer:
PB = 1.8
Step-by-step explanation:
PQ = 8 cm, BC = 10 cm and AB = 9 cm
∆ABC is similar to ∆APQ.
Therefore:
Plug in the values
Cross multiply
AP × 10 = 8 × 9
AP × 10 = 72
Divide both sides by 10
AP = 7.2
PB = AB - AP
PB = 9 - 7.2
PB = 1.8
Well, how many minutes are there in a year? It would be way too easy to say "too many".
First, we calculate minutes in a day, which is 60 x 24 (minutes in an hour x number of hour)
This equals 1440. There are 365 days in a year, so we multiply 365 by 1440, which equals 525,600
The conversion of oz to gallon occurs, and bigger units mean division since their capacity makes the necessity for them significantly smaller; we divide 525600 by 128, and we get 4106.25.
4106.25 gallons of water are wasted in a year
