Answer and Step-by-step explanation:
The interior angles of a triangle a add up to 180. We can find x by subtracting everything from 180, and then divide for x.
180 = x + 4 + 68 + x
<u>Simplify.</u>
180 = 2x + 72
<u>Subtract 72 from both sides of the equation.</u>
108 = 2x
<u>Divide each side by 2.</u>
x = 54
<u>The angles of the triangle are:</u>
Angle S = 54
Angle U = 58
Angle T = 68
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
Answer:
2 , 1\2
Step-by-step explanation:
b² - 4ac = (-5)² - 4*2*2
= 25 - 16
= 9

![x= \dfrac{-[-5] + 3}{2*2} ; x = \dfrac{-[-5]-3}{2*2}\\\\x =\dfrac{5+3}{4} ; x = \dfrac{5-3}{4}\\\\x=\dfrac{8}{4} ;x = \dfrac{2}{4}\\x = 2 ; x = \dfrac{1}{2}](https://tex.z-dn.net/?f=x%3D%20%5Cdfrac%7B-%5B-5%5D%20%2B%203%7D%7B2%2A2%7D%20%3B%20%20x%20%3D%20%5Cdfrac%7B-%5B-5%5D-3%7D%7B2%2A2%7D%5C%5C%5C%5Cx%20%3D%5Cdfrac%7B5%2B3%7D%7B4%7D%20%3B%20x%20%3D%20%5Cdfrac%7B5-3%7D%7B4%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B8%7D%7B4%7D%20%20%3Bx%20%3D%20%5Cdfrac%7B2%7D%7B4%7D%5C%5Cx%20%3D%202%20%3B%20x%20%3D%20%5Cdfrac%7B1%7D%7B2%7D)
Given:
Volume = 950 cubic inches
V = 4/3 π r³ ; where π = 3.14
950 in³ = 4/3 * 3.14 * r³
950 in³ = 4.19 * r³
950 in³ ÷ 4.19 = r³
226.73 in³ = r³
∛226.73 in³ = ∛r³
6.09 = r
The radius is 6.09 or 6.10 inches.
Answer:
(a) 81 items
(b) 104 items
(c) 155 items
Step-by-step explanation:
Given:
The expression for the number of items produced by a new employee daily after 't' days on the job is given as:

(a) Number of days (t) = 5
Average number of items produced can be obtained by plugging in 5 for 't' in the above expression. This gives,

Therefore, nearly 81 items are produced after 5 days.
(b) Number of days (t) = 9
Average number of items produced can be obtained by plugging in 9 for 't' in the above expression. This gives,

Therefore, nearly 104 items are produced after 9 days.
(c) Number of days (t) = 30
Average number of items produced can be obtained by plugging in 30 for 't' in the above expression. This gives,

Therefore, nearly 155 items are produced after 30 days.
Answer:
c) 62.
Step-by-step explanation:
Let x represent number of customers came in on the fifth day.
We have been given that the mean number of customers for those four days is 52. So total number of customers on 4 days would be 4 times 52 that is 208 customers.
We know that mean of a data set is equal to sum of all data points divided by number of data points.
Total number of customers on 5 days would be
and total number of days is 5.
Since we need a mean of 54, so we can set mean of 5 days equal to 54 as:

Multiply both sides by 5:




Therefore, 62 customers must come in on the fifth day to make the five-day mean 54 and option 'c' is the correct choice.