You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is 1 ft:1.26 cm.If a toothpick is 6.3 cm tall, how many toothpicks tall will your model be?
The model will be
toothpicks tall.
Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.5 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number.
The model will be approximately
cotton swabs tall.
Answers
Answer:
6 toothpicks
5 cotton swabs
Step-by-step explanation:
The height of your scale model is 30 feet * 1.26 cm/foot = 37.8 cm
You need 37.8 cm / 6.3 cm/toothpick = 6 toothpicks to build your model.
When using cotton swabs, the height of your model will be 37.8 cm / 7.5 cm/cotton swab = 5.04 cotton swabs.
Rounding to the nearest whole number, you will need 5 cotton swabs to build your model.
So the answer is:
6 toothpicks
5 cotton swabs
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The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).
What are the roots of an equation?
Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.
For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.
Given the equation,
x⁴ + 2x³ − 7x² − 8x + 12
If (x - 2) is a factor of the equation then it should be divisible by it.
So,
(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)
Now divide by (x - 1) of (x³ + 4x² + x - 6)
(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6
So,
⇒ (x - 2)(x - 1)(x² + 5x + 6)
⇒ (x - 2)(x - 1)( x² + 2x + 3x + 6)
⇒ (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]
⇒ (x - 2)(x - 1)(x + 2)(x + 3)
Hence "The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3)".
To learn more about the roots of an equation,
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Answer:
Step-by-step explanation:
The given equation is:
Now, (x-2) is a factor of the given equation, therefore
Therefore, the other factors are (x-1), (x+2) and (x+3).
Answers
170
then we add 30 to reach the number 200
170+30=200
then we add 200 to reach the number 400
200+200=400
then we add 10 to reach 410
400+10=410
The benchmark numbers are bolded...
Answers
Answer:
C
Step-by-step explanation:
all x values is domain, all y values are range
Answer:
Its c
Step-by-step explanation:
Domain = x value
Range = y value
Answers
Answers
Answers
Answer:
x = 3
Step-by-step explanation:
m<R = 180 - 110 = 70
m(arc)KQ = 2 × 70 = 140
m(arc)PQ = 140 - 50 = 90
30x = 90
x = 3