Answer:
Short leg = √3 cm
Step-by-step explanation:
the opposite angle of long leg is 60°
hypotenuse : x
sin 60° = 3/x = √3 / 2
x = (3 x 2) / √3 = 2√3
short leg length (s)
Cos 60° = 1/2 = s / x = s / 2√3
s = √3
Answer:
2.2%
Step-by-step explanation:
Given the following :
Population in year 2000 (A) = 4.2 million
Expected population every 32 years = 2 *A
The growth rate per year =?
The population figure after 32 years = (2 * 4.2 million) = 8.4 million
Using the exponential growth formula :
P(t) = A × (1 + r)^t
(1 + r) = g = Total growth percent
A = Initial population
t = time
P(t) = 8.4 million
8,400,000 = 4,200,000 × g^32
g^32 = (8400000/4200000)
g^32 = 2
Taking the root of 32 on both sides
g = 1.02189714865
g = (1 + r)
1.02189714865 = 1 + r
r = 1.02189714865 - 1
r = 0.02189714865
.rate = 0.02189714865 * 100
= 2.18971486541%
= 2.2% ( nearest tenth)
Answer: -9.5, -.82, 8/10, 2.5
Step-by-step explanation:
-9.5 is the least because the bigger the negative number is the smaller it's value is (opposite of positive numbers)
-.82 same thing
8/10 or .8
2.5 same thing as 2.50 so what is greater $2.50 or $0.80 exactly 2.50 is greater so it's the greatest
Answer:
- y=0.8x
- See Explanation for others
Step-by-step explanation:
The 3 cans of beans had a total weight of 2.4 Pounds
Therefore:
- 1 can of beans = (2.4 ÷ 3) =0.8 Pounds
The following applies from the options.
- y=0.8x where y is the weight and x is the number of cans.
- A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.
Using y=0.8x
When x=5, y=0.8 X 5=4
When x=15, y=0.8 X 15=12
When x=20, y=0.8 X 20=16
- On a coordinate plane, the x-axis is labeled number of cans and the y-axis is labeled total weight (in pounds. A line goes through points (5, 4) and (15, 12). This can be clearly seen from the table above as (5,4) and (15,12) are points on the line.
Find the circumference:
Circumference = 2 x pi x radius
Circumference = 2 x 3.14 x 9 = 56.52 inches
the arc length is 45 degrees/360 degrees of the circumference.
Marc length = 56.52 x 45/360 = 7.065 inches
Rounded to the nearest tenth = 7.1 inches
