Answer:
-4x² - 5(x + 3) + x²
= -4x² - 5x - 15 + x²
= -3x² - 5x - 15
Sara cut off 1/8 of a 48-inch piece of ribbon. Jane cut off 1/9 of a 36-inch piece of ribbon. They compared their cut pieces. Whose piece is longer? How much longer?
Answer:
Sara's by one whole
The smallest number is 55 between 55, 57 and 59.
Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Let three consecutive odd numbers are n, n+2 and n+4.
The sum of three consecutive odd numbers is 171.
So,
Adding all three numbers,
n + n+2 + n+4 = 171
3n + 6 = 171
3n = 171 -6
3n = 165
n = 165/3
n = 55
And the other two numbers are 55+2 = 57 and 55+4 = 59.
And smallest number is 55 between 55, 57 and 59.
Therefore, the smallest number is 55.
To learn more about the addition;
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Answer:
The value of cosA = (√3)/2 and tanA = 1/√3 or (√3)/3.
Step-by-step explanation:
Firstly,youhavetofindthevalueofadjacentusingPythogoras'Theorem,a²=b²+c²:
Let a = 2, b = 1
2² = 1² + c²
c² = 2² - 1²
= 4 - 1
= 3
c = √3
NowwehavefoundtheadjacentsowecanfindcosAandtanAusingTrigonometricfunction,cosθ=adj./hypo.andtanθ=oppo./adj.:
adj. = √3
oppo. = 1
hypo. 2
cosA = (√3)/2
tanA = 1/√3 OR (√3)/3