Answer:
-57
Step-by-step explanation:
<h2><u>Use BOMAS</u></h2>
B- brackets
O- of
M- multiplication
A- addition
S - subtraction
-3[1+2(4+5)]
first solve what is in the brackets
(4+5) = 9
place 9 in the brackets
-3[1+2(9)]
now multiply the 2 and 9
2*9 = 18
-3[1+18)]
1+ 18 = 19
now multiply the (-3) with 19
= <u>-57</u>
Answer:
a) Approximate height of the statue: 144 feet
b) The approximate height is 1.7% greater that the actual height of the statue.
Explanation
1) Assume that the measures of the statue are proportional to the dimensions of the student. That means:
statue's height student's height
________________________ = ______________________
length of the statue's right arm length of student's right arm
⇒ x / 54 feet = (5 + 1/3) feet / 2 feet
⇒ x = 54 × (16/3) / 2 feet = (54×16) / (3×2) feet = 144 feet
Answer: 144 feet
2) Compare the approximate heigth obtained with the actual height:
144 feet - (143 feet + 9 inches) = 144 feet - (143 feet + 9/12 feet) = 1 feet - 9/12 feet
1 feet - 9/12 feet = 1 feet - 3/4 feet = 1/4 feet.
Hence, the approximate feet obtained is 1/4 feet larger than the actual height.
In relative terms that is : (1/4) / (143 + 3/4) = 0.0017 = 1.7%.
Answer:
Options B
Options C
Options D
Step-by-step explanation:
35 + 30s - 45t
First term, 35
Factors:
= 1, 5, 7
Second term, 30s
Factors:
= 1, 2, 3 ,5
Third term, 45t
Factors:
= 1, 3, 3, 5
Common factors = 1, 5
5 × (7 + 6s - 9t)
10 × (3.5 + 3s - 4.5t)
-1 × (-35 - 30s + 45t)
Answer:
cos(x) -csc(x)
Step-by-step explanation:
It is helpful to know the relations between the trig functions:
__
Then the given expression can be simplified as follows:
