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Step2247 [10]
2 years ago
13

Explain how showing fractions with models and a number line are alike and different?

Mathematics
1 answer:
Otrada [13]2 years ago
5 0
Showing fractions can be expressed in model and number line.
Using a model, you have to draw the number of parts (denominator) and shade the number of parts (numerator).

Using a number line, the line starts from 0 to the number of the denominator. You put a marker to the number that is the same as the numerator.

Both model and number line use the value of the numerator and denominator. What makes them different is how they are presented. Model can easily be understood compared to number line.
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Given an equilateral triangle that has an area of 1959 cm2. What is the length of its sides?
Nina [5.8K]
Equilateral
equi means equal
lateral means sides

all sides are equal
triangle has 3 sides

perimiter=side1+side2+side3
side1=side2=side3


area=1/2 times base times height
base=side
draw a line down the middle of te tiangle so you get 2 right triangles side by side
1/2base is one leg
base is hypotonuse
height is unknown
equilateral means that it is a 30-60-90 triangle with  hypotonuse equal to 2x, height=x√3, bottom is x
1/2 times base times height=1959
1/2 times x times x√3=1959
multiply both sides by 2
(x^2)√3=3918
divide both sides by √3
x^2=3918/√3
square root both sides
x=47.5611
side=hypotonuse=2x
2x=2*47.5611
side=95.12222


legnth of each side is 2\sqrt{ \frac{3918}{ \sqrt{3} } }cm or about 95.12222 cm
7 0
3 years ago
The population of a town is 12,000, and it grows at a rate of 5% per year. Write an exponential function in the form <img src="h
Ksivusya [100]

Answer: Exponential function: y=12000(1.05)^x

Step-by-step explanation:

Exponential function: y=ab^x , a = initial value , x= time,  b= growth factor , b= 1+r , where r=rate of growth.

Given: Initial population = a= 12,000,

rate of growth = r= 5% = 0.05

Then, b=  1+r= 1+ 0.05 = 1.05

Substitute value of a and b in (i), we get

y=12000(1.05)^x

Hence, The required exponential function: y=12000(1.05)^x, where x= time.

4 0
3 years ago
B2≤4<br><br> What is the solution to the inequality?<br><br> b≥8<br><br> b≤8<br> b≤2<br> b≥2
Allisa [31]
The solution is the third one:
b≤2
8 0
3 years ago
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jarptica [38.1K]

Answer:

=

Step-by-step explanation:

The fractions are equal because we can simplify 3/6 to 1/3 as their biggest common divisor is 3

and

we can simplify 2/4 to 1/2 as their biggest common divisor is 2

So we are using the common divisor to simplify both fractions to solve this problem.

8 0
1 year ago
Help with maths HW please I'm dyinnnnnnggggg
Svetllana [295]
I plugged the numbers into a triangle area calculator, which solved it this way: A= \frac{h_{b} b}{2}=  \frac{80}{2} =40, then i multiplied it by 3 to scale it, and came up with 120 or A
8 0
3 years ago
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