Answer:
Area = 160 cm²
Perimeter = 55.31 cm
Step-by-step explanation:
Applying,
Area of the figure = area of the rectangle- area of the triangle
A = lw+bh/2............... Equation 1
From the question,
Given: l = 16 cm, w = 12 cm, h = 8cm, b = 8 cm
Substitute these values into equation 1
A = (16×12)-(8×8/2)
A = 192-32
A = 160 cm²
Perimeter P = /BC/+/CD/+/DE/+/EF/+/FG/+/GA/
Applying pythagoras theorem to get /FG/
FG² = GE²+EF²
FG² = 8²+8²
FG² = 64+64
FG² = 128
FG = √128
FG = 11.31 cm
Therefore,
P = 16+12+4+8+11.31+4
P = 55.31 cm
Answer:
8
Step-by-step explanation:
Answer:
0.10512
Step-by-step explanation:
Given the following :
Mean number of calls(μ) in 2 hours = 14
2 hours = 60 * 2 = 120 minutes
Average number of calls in 45 minutes :
= (45 / 120) * 14
= 0.375 * 14
= 5.25
Now find P( x ≤ 2) = p(x = 0) + p( x = 1) + p(x = 2)
Using the poisson probability formula:
P(x, μ) = [(e^-μ) * (μ^x)] / x!
Where :
e = euler's constant
μ = 5.25
x = 0, 1, 2
Using the online poisson probability calculator :
P(x, 5.25) = P( x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x, 5.25) = P( x ≤ 2) = 0.00525 + 0.02755 + 0.07232 = 0.10512
Answer:
A = 0.785m²
B = 31400cm²
C = 7850cm²
D = 785,000mm²
Step-by-step explanation:
To solve this question, we'll have to find the area of a circle which is
Area of a circle = πr²
1. The diameter of the circle = 1m
Area of a circle = πr²
r = radius of the circle
π = 3.14
Radius = diameter / 2
Radius = 1 / 2 = 0.5m
Area = 3.14 × (0.5)²
Area = 3.14 × 0.25
Area = 0.785m²
2. Radius = 100cm
Area of a circle = πr²
Area = 3.14 × (100)²
Area = 3.14 × 10000
Area = 31400cm²
3. Diameter = 100cm
Area = πr²
Radius = diameter / 2
Radius = 100 / 2
Radius = 50cm
Area = πr²
Area = 3.14 × (50)²
Area = 3.14 × 2500
Area = 7850cm²
4. Radius = 500mm
Area = πr²
Area = 3.14 × (500)²
Area = 3.14 × 250,000
Area = 785,000mm²
The miles the student biked in two weeks is 11 2/3 miles.
The distance the student bikes is given in fractions. Fractions are numbers that are made up of numerator and denominators. An examples of a fraction is 1/4. 1 is the numerator and 4 is the denominator.
In order to determine the distance biked in 2 weeks, the distance biked in a day has to be determined.
Distance biked in a day = (1/4 + 1/3 + 7/12)
14/12 = 1 2/12 = 1 1/6
Distance he would travel in 2 weeks
1 1/6 x 10
7/6 x 10 = 70 /6 = 11 2/3 miles
To learn more about fractions, please check: brainly.com/question/848992
