Answer:Only one triangle can be constructed
Step-by-step explanation:
According to the question sides given are 1m, 2m and 2m
For the possibility of a triangle the sum of the two sides must be greater
than the third side
We have 1+2>2
⇒3>2
Also 2+2>1
⇒4>1
So the possibility of a triangle is fulfilled
Only an isosceles triangle can be constructed
as two sides are equal
To obtain the total surface we have to calculate the surface of the 4 triangles and add up the areas (remember that the area of a triangle is (b*h)/2 , b is the base, h is the height ).
We will caculate first the area of the base triangle for that we considerer the fact that it is an equilateral triangle with sides of lenght 6 cm, now we calculate the height, I am going to draw please wait a moment
using the pythagorean theorem we have that
![\begin{gathered} h^2=6^2cm^2-3^2\operatorname{cm}=27cm^2 \\ h=\text{ }\sqrt[]{27\text{ }}cm \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%5E2%3D6%5E2cm%5E2-3%5E2%5Coperatorname%7Bcm%7D%3D27cm%5E2%20%5C%5C%20h%3D%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B27%5Ctext%7B%20%7D%7Dcm%20%5Cend%7Bgathered%7D)
Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.
Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.
Finally we add up all the areas:
Answer:
Serina should have solved for x in the second equation because it has a coefficient of 1.
Step-by-step explanation:
we have
----> equation A
---> equation B
we know that
To solve the system of equations in the most efficient way, solve for x equation B and then substitute the value of x in equation A
so
----> equation C
substitute equation C in equation A

solve for y

Find the value of x
substitute the value of y in the equation C

The solution is (3,4)
therefore
Serina should have solved for x in the second equation because it has a coefficient of 1.
Answer:
X = 4
Step-by-step explanation:
x2 + 1 = 9
We have to cross 1 over to the other side so that x becomes a value on its own. Because we are it over, the addition sign changes to subtraction which makes the expression,
x2 = 9- 1
x2 = 8
For x to stand alone we have to divide both sides by 2
x 2/2 = x
and 8/2 = 4
Therefore x=4 (Answer)
Answer:
Relative minimum : -36
Relative maximum : 64
The rate of change is 336 greater
Step-by-step explanation:
Relative minimum are the minimum values in the interval
Looking at the graph, we find the lowest point in the interval
Relative minimum : (-3, -36) and (3,-36) y value -36
Looking at the graph, we find the highest point in the interval
Relative maximum : (0,64) y value 64
Average rate of change = f(x2) - f(x1)
---------------
x2 - x1
f(7) - f(5) 1469 - 549 920
------------- = --------------- = ------- = 460
7-5 7-5 2
f(4) - f(2) 287 - 39 248
------------- = --------------- = ------- = 124
4-2 4-2 2
We need to subtract
460-124
336