Answer:
c) 18 cm²
d) 30 cm²
Step-by-step explanation:
c)
You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.
Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.
area of triangle = bh/2
shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2
shaded area = 24 cm² - 6 cm²
shaded area = 18 cm²
Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.
area of trapezoid = (B + b)h/2
shaded area = (6 cm + 3 cm)(4 cm)/2
shaded area = (9 cm)(4 cm)/2
shaded area = 18 cm²
d)
The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.
area of rectangle = length × width
area of triangle = bh/2
shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2
shaded area = 48 cm² - 18 cm²
shaded area = 30 cm²
Answer:
$46.83
Step-by-step explanation:
The standard formula for compound interest is given as;
A = P(1+r/n)^(nt) .....1
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For saving account A;
P = $1,800
t = 2 years
n = 12 (monthly
r = 3.6% = 0.036
Substituting the values;
A = 1800(1+0.036/12)^(12×2)
A1 = $1934.17
for saving account B;
P = $1,800
t = 2 years
n = 12 (monthly
r = 4.8% = 0.048
Substituting the values;
A = 1800(1+0.048/12)^(12×2)
A2 = $1981.00
The difference will then be
d = A2 - A1
d = $1981.00 - $1934.17
d = $46.83
Therefore, she would have $46.83 more
Answer:
6x
Step-by-step explanation:
Answer:
3x - 5
Step-by-step explanation:
Answer:
b. The difference was not practically significant.
Step-by-step explanation:
Let mu1 be the mean GPA of freshmen who lived on campus
And mu2 be the mean GPA of freshmen who commuted
: mu1-mu2=0
: mu1-mu2>0
Since p-value of test statistic<0.05, the result is statistically significant
But the offer to make all freshmen live on campus is rejected likely due to it is being not practically significant.
Although the result is statistically significant, the effect size of the action (making all freshmen live on campus and moving their GPA's from 2.51 to 2.53) would not be worth to make the decision.
Thus the result is not practically significant.
