Using a linear function, it is found that the expression to find the perimeter of the composite figure made up of t triangles is:
<h3>What is a linear function?
</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
<h3>What is the perimeter of a figure?</h3>
- The perimeter of a figure is the<u> sum of all it's outside dimensions.</u>
Researching the problem on the internet, it is found that:
- When the figure is made of 1 triangle, the perimeter is of 12, as it is an isosceles triangle with two dimensions of 5 and one dimension of 2.
- When the figure is made of 2 triangles, the perimeter is of 14. For 3 triangles, it is of 16, and so on...
- Hence, when the number of triangles changes by 1, the perimeter changes by 2, which means that the slope is , and the equation is:
When t = 1, P(t) = 12, hence, we can find b:
Hence, the expression is:
To learn more about linear function, you can take a look at brainly.com/question/25823744
Answer:
343 cm ^3
Step-by-step explanation:
A cube has 6 squares of equal sizes. 294/6 = 49
The area of one square is 49
Since the area is the length squared, the square root of 49 is 7.
Volume of a cube is area times height. 49 x 7 = 343 cm^3
answer: nine pies
work: this question is pretty simple. manner has 12 pies, and three are being taken away. and since 12 - 3 = 9 he'll have 9 pies leftover.
Answer:
can u add a picture please?
Step-by-step explanation:
The answer is y = 14
Explanation:
AC≅CB, so the triangle is isosceles
So, m∠A = m∠B
m∠A = 50 and m∠A = m∠B, so m∠B = 2x = 50
The sum of all angles in a triangle is 180°
So:
180 = (5y + 10) + 50 + 50
180 = 5y + 10 + 100
180 = 5y + 110
-5y = 110 - 180
-5y = -70
5y = 70
y = 70/5
y = 14
Hope it helps!