The surface area of the square pyramid represented by the net is 175 cm².
Given is a net of the square pyramid.
A square pyramid has the base of the pyramid being the square and four triangular lateral faces.
Given that,
An unfolded square base pyramid with sides of the base being seven centimeters and the length from the base to the tip is nine centimeters.
Base length, a = 7 cm
Slant height of the pyramid, l = 9 cm
Surface area = a² + 2al
= 7² + (2 × 7 × 9)
= 49 + 126
= 175 cm²
Learn more about Surface Area here :
#SPJ2
+ 34x+ 30) = (2x+4)
Answer:
2 = 0
This equation has no solution.
Step-by-step explanation:
A a non-zero constant never equals zero
20
Step-by-step explanation:
is what i got i think its wrong tho
Answer:
2. ASA can be used with the definition of an isosceles triangle
3. x = 5 5/6
Step-by-step explanation:
Using the given information, the definition of an isosceles triangle tells us, ...
∠A = ∠C and ∠A = ∠ABM and ∠C = ∠CBN
By substitution, ∠ABM = ∠CBN. This lets us declare ΔAMB ≅ ΔCNB by ASA, where the sides between the angles are AB and CB.
__
If the angles of interest are the same, then the triangles are similar. That means corresponding sides have the same ratio:
AB/AD = CB/CE
x/7 = (10-x)/5
5x = 7(10 -x) = 70 -7x . . . . . multiply by 35, simplify
12x = 70 . . . . . . . . . . . add 7x
x = 70/12 = 35/6
x = 5 5/6
The domain of the function is the set of all values x such that x is greater than or equal to one-quarter.
The range of the function is all real numbers.
The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.
The function is increasing over the interval (negative 6 and one-eighth, ∞).
The statements true about the the function f(x) = 2x2 – x – 6 are-
The vertex of parabola is the point at the intersection of parabola and its line of symmetry.
Now the given function is,
f(x) = 2x^2 – x – 6
Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.
Comparing the given function with standard form,
f(x) = a x^2 bx + c
By comprison we get,
a = 2
b = -1
c = -6
Now, x-coordinate of vertex is given as,
x = -b/2a
put the values we get,
x = -(-1)/2*2
or, x = 1/4
Put the value of x in given function, so y-coordinate of the vertex is given as,
f(1/4) = 2(1/4)² - 1/4 - 6
= -49/6
= -6 1/8
Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-
More about vertex :
#SPJ1
Answer:
The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.
Step-by-step explanation:
The answer above is correct.
Answer:
[/tex]
Step-by-step explanation:
Solving the equation mean finding the value of x
Equation given is:
Now what we need to do is take the values with x in it to the left side of the equation and the other numbers to the right side of the equation.
Now simplify values with x and the numbers.
[/tex]
Therefore [/tex]
x =
simplify the left side by collecting like terms
7x + 1 = x + 4 ( subtract x from both sides )
6x + 1 = 4 ( subtract 1 from both sides )
6x = 3 ( divide both sides by 6 )
x = =