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MAVERICK [17]
3 years ago
12

What is the value of x in this question

Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0
The left triangle is a 30-60-90 triangle so line ST = 2 which means line RT is 4 (double the length of ST). 

The right triangle is a 45-45-90 triangle which means RT and RQ are congruent. 

So if RT = RQ and RT = 4, then x = 4
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The volume of a cube is 512 cm3 . What is the area, in square centimetres, of each side of the cube?
lesantik [10]

Answer:

Step-by-step explanation:

V of a cube is s^3

V = 512

s = cube root of (V)

s = cube root of 512 cm^3

s = 8

The area of one face of the cube is s^2

s = 8

Area 1 face = 8^2

Area of 1 face = 64 cm^2

4 0
2 years ago
What substitution Should be used to re-write 26(x^3+1)^2-22(x^3+1)-3=0 as a quadratic function?
mel-nik [20]

Answer:

x^3+1

Step-by-step explanation:

26(x^3+1)^2-22(x^3+1)-3=0

Comparing to

A(u)^2+B(u)+C =0

Where A,B,C are constants

You should see that we need to substitute the x^3+1 with u.

7 0
3 years ago
A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and
GrogVix [38]

Answer:

x=6+3\sqrt{2} is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = 12 -2x, height of the box = x

Volume of square box = Area * height = (12-2x)^2 * x

Differentiating the above equation and equating it to zero, we get –  

d/dx ((12-2x)^2 * x)

d/dx{(144 + 4x^2 -48x)*x}= d/dx (144x + 4x^3 -48x^2)

d/dx (144x + 4x^3 -48x^2) = 0

144+8x^2-96X= 0\\18 +X^2-12X = 0

On solving above equation, we get –  

x=6+3\sqrt{2}  \\ x=6-3\sqrt{2}

5 0
3 years ago
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Katena32 [7]

Answer:

DO YOU STILL NEED HELP?

Step-by-step explanation:

4 0
3 years ago
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Can someone help me how do i do this i need an explination
Tanya [424]

Answer:  From the figure attached,

Point X is the midpoint of line AC.

Since coordinates of the midpoint of the segment joining endpoints  and  is given by,

Therefore, coordinates of the point X will be,  = (a, a)

From triangle AXB,

Length of AB = 2a

Length of AX =  

Length of BX =  

                     =

Length of AX = BX =  

Therefore, triangle AXB is an isosceles triangle.

Step-by-step explanation:

7 0
3 years ago
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