Answer:
x = 122°
w = 90°
Step-by-step explanation:
x + 58° = 180°
[Sum of linear pair of angles measure 180°. If the pair is a set of two angles then the angles of this linear pair are called as Supplementary angles]
x = 180° - 58°
x = 122°
Similarly, w + 90° = 180°
w = 180° - 90°
w = 90°
Therefore, values of each variable are x = 122° and w = 90°.
Answer: the 32nd term is - 3
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 15.6
d = 15 - 15.6 = 14.4 - 15 = - 0.6
n = 32
The explicit formula for the arithmetic sequence is
Tn = 15.6 - 0.6(n - 1)
We want to determine the value of the 32nd term, T32. Therefore,
T32= 15.6 - 0.6 (32 - 1)
T32 = 15.6 - 18.6
T32 = - 3
Let's first see which box and whisker plots have a range of 17. The range is maximum-minimum. ( the last dot minus the first dot). For A. 20 - 4 = 16, so it can't be A. For B. 36-2 = 34, so it can't be B. For C. 36 - 19 = 17, so it could be C. And for D. 17 - 2 = 15, so it can't be D. C. must be the correct answer, but let's check if the interquartile range is 5. The IQR ( interquartile range) is the 3rd Quartile - the 1st Quartile. 33- 28 = 5. So, C. is the correct answer! Hope this helped!
Answer:There are two right triangles. You need to find the opposite side (the height) of each of them. The difference between the two is the height of the blade, x.
You know the adjacent, 440, and you are looking for the opposite, so you need to use tan for both.
tan (30) = y / 440
y = 440 * tan (30) = 254.034...
tan (38.8) = z / 440
y = 440 * tan (38.8) = 353.769.--
353.8 - 254.0 = 99.8 = 100 feet.
Step-by-step explanation:
Answer:
Ben has mixed up the digit for millions and hundred thousands: he wrote 5 in the place for millions and 6 in the place for hundred thousands, but it should be the other way. I think that he should exchange those two digits in the faulty report.
