Answer:
Lateral Surface Area = 472 m²
Total Surface Area = 486m²
Step-by-step explanation:
The above prism is a Triangular prism
a) Lateral Surface Area = Perimeter of the Base × H
H = 29m
Perimeter of the Base = (7m + 7.28m + 2m)
= 16.28m
Lateral Surface Area = 16.28m × 29m
= 472.12 m²
Approximately to the nearest whole number = 472 m²
b) Total Surface Area
Triangular prism =
2 Triangles and 3 Rectangles
1st Triangle = 1/2 × base × Height
= 1/2 × 2m × 7m
= 7m²
2nd Triangle = 1/2 × base × height
= 1/2 × 2m × 7m
= 7m²
1st Rectangle = Length × Width
= 29m × 2m = 58m²
2nd Rectangle =
Length × Width
= 29m × 7.28m = 211.12m²
Length × Width
= 29m × 7m = 203m²
Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²
= 486.12m²
Approximately to the nearest whole number = 486 m²
Option A is the correct option
Answer:
Step-by-step explanation:
Given: The mean of the temperatures in the chart is 24° and standard deviation is 4°.
To find: How many years had temperatures within one standard deviation of the mean
Solution: Mean temperature μ = 24 , standard deviation σ =4
The lower and upper bound for temperature within one standard deviation of the mean is given as:
Lower bound = μ - σ = 24 - 4=20
Thus, the Lower bound is = 20
Upper bound = μ + σ = 24+ 4=28
Thus, the Upper bound is = 28
Now, The temperature value between (Lower bound, Upper bound) that is (20, 28) is said to be within one standard deviation of the mean.
Hence 27° is the temperature value that is within one standard deviation of mean.
Hi,
<em>Sammy has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months. </em>
<u>How much is in Sammy's account at the end of the 6 months?</u>
25.50 × 6 = $153
In 6 months she deposits $153 into the account.
So :
125.75 + 153 = $278.75
At the end of the 6 months Sammy has $278.75 in her savings account.
We need to use Law of sine.
sin A/a = sin C/c
sin A/|CB| = sin C/|AB|
sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20
A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
Answer:
1.76
Step-by-step explanation:
