In the familiar decimal number system that we use every day, moving the place
of a digit changes its value by a power of 10 .
In a system of numbers to any other base, moving the place of a digit changes
its value by a power of whatever the base of that number system is.
Begin by using the cosine rule to find the unknown side.
Where a- unknown side, b is 12, c is 16 and angle in between is 108°
The cosine rule...
a² = b² + c² - 2bc cosA
= 12² + 16² - (2×12×16 cos108°)
= 518.655076
Taking the positive
square root...
a = 22.774
a = 22.8 cm nearest tenth
Answer:
7.5 flour bag
Step-by-step explanation:
we are given
flour bags need to make 1 dozen cookies=3/4
we have to find
number of flour bags for 10 dozen cookies needed =?
1 dozen cookies needed flour=3/4
and for 10 dozen cookies
we will multiply 10 on both sides
it will give
10 dozen cookies needed flour bags=(3/4)*10=30/4=15/2=7.5
The answer is 573
S is the three digit number.
h - a number of hundreds
t - a number of tens
o - a number of ones
S = 100h + 10t + o
<span>The last two digits add to make ten: t + o = 10
</span><span>The first and last digits add to make eight: h + o = 8
</span><span>The first two digits add to make twelve: h + t = 12
</span>t + o = 10 ⇒ o = 10 - t
h + o = 8 ⇒ o = 8 - h
_______
10 - t = 8 - h
h + t = 12 ⇒ h = 12 - t
_______
10 - t = 8 - (12 - t)
10 - t = 8 - 12 + t
10 - t = -4 + t
10 + 4 = t + t
2t = 14
t = 14/2 = 7
______
h = 12 - t = 12 - 7 = 5
______
o = 8 - h = 8 - 5 = 3
S = 100h + 10t + o
h = 5
t = 7
o = 3
S = 100*5 + 10*7 + 3
= 500 + 70 + 3
= 573
<span>"Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-2b' to each side of the equation.
4 + b + -2b = -5 + 2b + -2b
Combine like terms: b + -2b = -1b
4 + -1b = -5 + 2b + -2b
Combine like terms: 2b + -2b = 0
4 + -1b = -5 + 0
4 + -1b = -5
Add '-4' to each side of the equation.
4 + -4 + -1b = -5 + -4
Combine like terms: 4 + -4 = 0
0 + -1b = -5 + -4
-1b = -5 + -4
Combine like terms: -5 + -4 = -9
-1b = -9
Divide each side by '-1'.
b = 9
Simplifying
b = 9"- geteasysolution.com</span>
