Answer:
There are 20 booths and (38 - 20), or 18, tables
Step-by-step explanation:
Represent the number of tables with t and the number of booths with b.
We need to find the values of t and b.
(6 people/table)(t) + (4 people/booth)b = 188 (units are "people")
t + b = 38 (units are "seating units")
Solving the second equation for t, we get 38 - b = t.
Substitute 38 - b for t in the first equation:
(6 people/table)(38 - b) + (4 people/booth)b = 188
Then solve for b: 6(38) - 6b + 4b = 188, or:
228 - 2b = 188, or 2b = 228 - 188, or 2b = 40. Thus, b = 20 (booths)
There are 20 booths and (38 - 20), or 18, tables.
The way that I memorised how to do sin, cos, and tan is by the following: SOH, CAH, TOA
SOH = Sin is OPPOSITE / HYPOTENUSE
CAH = Cos is ADJACENT / HYPOTENUSE
TOA = Tan is OPPOSITE / ADJACENT
For example if we were to solve question 5
Sin T = 6 root 2 / 19
Cos T = 17 / 19
Tan T = 6 root 2 / 17
Repeat the steps for question 6
For the rest of the questions (7,8,9) you have to take the information given and figure out if you should us Sin, cos, or Tan. then plug the numbers in the calculator and while doing sin ^ -1, cos ^ -1, tan ^ -1
for example on question 7, to find the angle x they have given you the hypotenuse and the adjacent side so
cos x = 9 / 18
to find x plug: cos^-1 (9/18) in the calculator
Answer:
Area = 40mm
Example:
The below-solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the trapezoid area.
Example Problem :
Find the area of a trapezoid having the bottom length a = 15 cm, top length b = 12 & height h = 9 cm?
Solution :
The given values
bottom length a = 15 cm
top length b = 12 cm
height h = 10 cm
Step by step calculation
formula to find area = ((a + b)/2) h
substitute the values
= ((15 + 12)/2) x 9
= 121.5 cm2
Answer:
B
Step-by-step explanation:
How did it go from "rope" to "ribbon", therefore, the statement is incorrect. This is a man-made equation that clearly has a mistake. If it was to say, "Will Scott have enough rope?" then the answer will be "YES"
Answer:
since p value < x(0.05) so we reject the null hypothesis
step 5 ( conclusion)
reject the null hypothesis and there is sufficient evidence to support the claim that the true average percentage differs from 5.5.
Step-by-step explanation:
check the attachment for detailed explanation