Answer:
Step-by-step explanation:
Part A
<u>Givens</u>
b1 = 265
b2 = 180
h = 90
<u>Formula</u>
Area = (b1 + b2)*h / 2
<u>Solution</u>
Area = (265 + 180) * 90 / 2
Area = 445 * 90 / 2
Area = 40050 / 2
Area = 20025 square meters
Part B
1 hectare = 10000 square meters
x hectare = 20025 square meters Cross multiply
x * 10000 = 20025 * 1 Divide by 10000
x = 20025 / 10000
x = 2.0025
Rounded to the nearest hectare that would be 2
Part C
The best shape is a square.
That would mean that the area is given by
s^2 = 20025
sqrt(s^2) = sqrt(20025)
s = 141.51
Each side of the rectangle (square) = 141.51
Answer:
142:23
Step-by-step explanation:
The length of the rectangle is given as 71/2 while its width is 23/4
We are required to determine the ratio of the length to the width;
length:width
(71/2):(23/4)
(71/2)/(23/4)
71/2 * 4/23 = 142/23
The ratio of the length to the width is thus;
142:23
Answer:
$161.28288 or $161.28 if rounded
Step-by-step explanation:
first find 10% of the original cost
186.67/10 =18.667
18.667 x 2 = 37.334 (20%)
186.67 - 37.334 = 149.336
to find the tax, mulitple 149.336 x 1.08
1.08 because, 100% of the cost, plus 8% of the cost for tax
= 161.28288
Answer:
See explanation
Step-by-step explanation:
Solution:-
- The researcher claims :
" the average annual salary of part-time community college instructors is at least $45,000 "
- We will extract the claim made by the researcher to be the Null hypothesis:
Null Hypothesis : μ ≥ $45,000
- Any statement otherwise, or point of rejection criteria will denote the Alternate hypothesis that disbands the claim that:
" the average annual salary of part-time community college instructors is less than $45,000 " :
Alternate Hypothesis : μ < $45,000
- This type of test with a sample size of n = 25 < 30 and population standard deviation is also not given hints the use t-test statistics and t-critical value reject the claim.
Lower tail - one sample - T-test.
Answer:
..........
Step-by-step explanation:
