The answer I got was -3x^(3)+6
Answer:
rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal
compare ratios of lengths and widths
rectangles A and B
k = = ← ratio of lengths
k = = ← ratio of widths
scale factors are equivalent, hence rectangle A is a scaled copy of B
rectangles C and B
k = = ← ratio of lengths
k = = ← ratio of width
scale factors (k ) are not equal, hence C is not a scaled copy of B
rectangles A and C
k = = ← ratio of lengths
k = ← ratio of widths
the scale factors are not equal hence A is not a scaled copy of C
Step-by-step explanation:
The length of the base is 32.6
3.3 + 3.3 = 6.6
Subtract 6.6 from 71.8 : 65.2
Divide that by 2 : 32.6
Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation = 
= 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:
For z = -1.56, we get:
For z = -0.88, we get:
Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
Answer:
(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)
Step-by-step explanation:
For the first picture :
The missing angle :
180 - (32 + 90)
180 - (122) = 58°
To obtain the length of side x:
From ptthagoras:
Tan58° = opposite / Adjacent
1.6003345 = 15 / x
x = 15 / 1.6003345
= 9.37
y = sqrt(15^2 + 9.37^2)
y = sqrt(312.7969)
y = 17.7m
2)
Missing angle :
From ptthagoras :
Sin54° = opposite / hypotenus
0.8090169 = y/ 24
y = 0.8090169 * 24
y = 19.42
x = sqrt(24^2 - 19.42^2)
x = sqrt(198.8636)
x = 14.10
3)
Sin21° = opposite / hypotenus
0.3583679 = 8 /y
y = 8 / 0.3583679
y = 22.3
x = sqrt(22.3^2 - 8^2)
x = sqrt(433.29)
x = 20.8
