Answer:
The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Step-by-step explanation:
Answer:
40°
Step-by-step explanation:
Supplementary angles add up to 180°. Complementary angles add up to 90°.
m∠1 + m∠2 = 180°
115° + m∠2 = 180°
m∠2 = 65°
m∠2 + m∠3 = 90°
65° + m∠3 = 90°
m∠3 = 25°
m∠2 − m∠3 = 65° − 25° = 40°
<span>The general equation of a quadratic is expressed as y = ax^2+bx+c. To
convert the general equation to vertex form, we need to obtain this form:
(y- k)= a(x - h)^2
This could be done by using completing the square method.
</span><span>y = –3x^2 – 12x – 2
</span><span>y + 2 = –3(x^2 + 4x)
</span>y + 2 -12 <span>= –3(x^2 + 4x + 4)
</span>y - 10 = -3(x+2)^2
Therefore, the answer is the first option.
To find w, you subtract 117 from 180. After that you get w = 63. Now you add 63 and 31 to get 94. You then subtract 94 from 180 to get x = 86. Now you add 86 and 56 to get 142. You then subtract 142 from 180 to get y = 38. Now you add 38 and 117 to get 155. Again you subtract 155 from 180 to get z = 25
Convert the cm to feet for the base and the height:
12/2 = 6 x 3 = 18 feet
9/2 = 4.5 x 3 = 13.5 feet
area = 1/2 x base x height
Area = 1/2 x 18 x 13.5
Area = 121.5 square feet
answer: 121.5 square feet
