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algol13
2 years ago
9

You have been asked to build a scale model of your school out of toothpicks imagine your school is 30ft tall. Your scale is 1 ft

:1.26 cm
Mathematics
1 answer:
Valentin [98]2 years ago
6 0
The height of your scale model will be 37.8cm.
1.26 x 30
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Find the sum of the first one hundred positive integers. see fig 6.26
nignag [31]
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.

Quick note
We can use a formula to find out the sum of an arithmetic series:
s =  \frac{n(n + 1)}{2}
Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.
8 0
3 years ago
Which equation could be solved using the graph above?
Oduvanchick [21]

Answer:

Option b is the correct answer

Step-by-step explanation:

The graph in the picture is the graph of a quadratic equation and it takes the shape of a parabola.

The points on the x axis through which the parabola cuts across is used to determine the solution of the quadratic equation.

Looking at the parabola formed from the plotted points, it cuts the x axis at

x = -1 and x= -2

These are the factors of the equation. To get the equation, we multiply the factors.

x= -1, x +1 = 0

x =-2 , x + 2= 0

The equation is (x+1)(x+2)

Expanding the brackets,

x×x + x×2 +1×x + 1×2

= x^2 + 2x + x +2

= x^2 + 3x +2 = 0

Option b is the correct answer

6 0
3 years ago
Determine wether the ratios are proportional: 6/36 and 1/6
dangina [55]
They are proportional. If you divide 6/36 by 6 on the numerator and the denominator, you get the same fraction of 1.6.
3 0
3 years ago
Select the correct answer.
Galina-37 [17]

Answer:

the answer to the question is C

5 0
3 years ago
$800 deposited in a savings account which earns 3% simple interest a year will earn $168 in interest in 7 years.
liubo4ka [24]
The answer is True..........................
8 0
3 years ago
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