Answer: h = 14.1 ft
Step-by-step explanation:
The given triangle is an isosceles right angle triangle because the two sides or legs of the triangle are equal. To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse = 20ft
opposite side = adjacent side = h feet
Therefore
20² = h² + h²
400 = 2h²
h² = 400/2 = 200
Taking square root of both sides, it becomes
h = √200
h = 14.1 ft
Answer:
Step-by-step explanation:
The question in English is basically find the area of the pink and blue area shown. The image is attached. This is Liza and Abby's blanket spread and we want the area of the whole shown.
<u>Solution:</u>
We want area of pink rectangle PLUS the blue region, which is a sum of lower rectangle and top triangle (if we cut it in this way).
First, area of pink rectangle:
Area = length * height
Area = 5 * 5.7
Area = 28.5
Now, the blue region, if broken down, lower portion is rectangle and upper portion is a triangle (we DISREGARD the overlapping region, of course!)
Lower Rectangle Area = length * height = 4 * 2 = 8
Upper triangle Area = 0.5 * base * height = 0.5 (4) * (6-2) = 0.5 * 4 * 4 = 8
So, blue region area = 8 + 8 = 16
<u>Total Area = 28.5 + 16 = 44.5 sq. ft.</u>
U add 6 to every number each time
5,11,17,23,29,35,41,47,53,59,65,71,78,84,90,96,101,108
108 is the 18th term
Answer:
- a) P(x) = 32000*1.04^x
- b) $37435
- c) During year 7
Step-by-step explanation:
<u>Given</u>
- Initial pay = $32000
- Increase rate = 4%
a. <u>Formula</u>
b. Year 5 is after 4 years, so we are looking for the value of P(4)
- P(4) = $32000*1.04^4 = $37435
c. <u>P(x) = 40000, x = ?</u>
- 40000 = 32000*1.04^x
- 1.04^x = 40000/32000
- 1.04^x = 1.25
- log 1.04^x = log 1.25
- x = log 1.25 / log 1.04
- x = 5.69, this is 6 years after
The required number of the years is 6 + 1 = 7
Answer:
x frequency
4.8 1
4.83 1
4.85 2
4.89 1
4.91 1
4.94 2
4.96 1
4.99 1
5.04 3
5.05 1
5.12 3
5.14 1
5.15 1
5.17 1
5.19 2
5.24 1
5.26 1
5.27 1
5.28 1
find the dot plot as attached below
Step-by-step explanation:
Construct a dotplot for the following data. 4.85 4.94 5.12 5.14 4.80 4.99 5.19 4.94 4.85 5.12 5.04 4.96 5.28 5.05 4.83 5.27 5.12 5.19 4.89 5.15 5.04 5.17 5.24 5.04 4.91 5.26
Rearranging the data into frequency table
x frequency
4.8 1
4.83 1
4.85 2
4.89 1
4.91 1
4.94 2
4.96 1
4.99 1
5.04 3
5.05 1
5.12 3
5.14 1
5.15 1
5.17 1
5.19 2
5.24 1
5.26 1
5.27 1
5.28 1