manuela wants to make a cube from construction paper . if she cuts out the design below and folds it to make a cube , what will be the surface area of the cube?
25 cm2
70 cm2
125 cm2
150 cm2

Answer:

3

Step-by-step explanation:

The principal, real, root of:

[tex]\sqrt[2]{3}[/tex]

=1.73205081

All roots:

1.73205081

−1.73205081

3 is not a perfect square

Answer: A. -6=n

Step-by-step explanation:

3(x - 2) =7x+n

3x-6=7x+n

-6=4x+n

-6=4(0)+n

-6=n

Answer:

4h^2-6h-7

Step-by-step explanation:

[tex](4h^{2} -h+5) - (8h-3h+12)\\4h^{2} -h+5 - 8h+3h-12\\4h^{2}-9h+3h-7\\4h^{2}-6h-7\\[/tex]

Applying the Pythagorean theorem, we have ΔPQR ≅ ΔABC. then we would have: ∠ACB = ∠PRQ = 90°

The pythagorean theorem states that the square of the longest side (hypotenuse) of a right triangle is always equal to the sum of the squares of the other two sides (legs) of the right triangle.

Since we know that ΔPQR is a right triangle, then:

x² + y² = PQ²

We are also given that x² + y² = z², so by substitution, we have:

z² = PQ², which makes both triangles have corresponding congruent sides. Therefore, ΔPQR ≅ ΔABC.

Using the corresponding parts of the congruent triangles, we can conclude that: ∠ACB = ∠PRQ = 90°.

Learn more about the Pythagorean theorem on:

https://brainly.com/question/343682

#SPJ2

Answer:

one side = [tex]\frac{a\sqrt{2}}{2}[/tex]

Step-by-step explanation:

if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.

Let's say TP = a

since it's a regular octagon, TP = HT

and using the Pythagoras Theorem,  we know a² + b² = c² and thus:

√(AT² + HA²) = HT

and since AT = HA which we will call x, the equation becomes:

√(2x²) = HT = a

rearrange the equation to solve for x and you get:

2x² = a²

x² = [tex]\frac{a^{2} }{2}[/tex]

x = [tex]\frac{a}{\sqrt{2}}[/tex]

which, if you rationalise the denominator, you get:

x = [tex]\frac{a\sqrt{2}}{2}[/tex]

The root is the x intercepts or the zeros of the problem

If I were to graph

(x-5)(x+4)=0

We need a number for x which makes this equation 0

The numbers are 5 or -4

These are the x intercepts of the parabola or roots

Answer:

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

9514 1404 393

Answer:

  a = 108°

  b = 24°

Step-by-step explanation:

a) The pentagon will have interior angles of 540°/5 = 108°.

 Angle a = 108°

__

b) The reflex angle at a vertex of the pentagon is 360° -108° = 252°. At the obtuse angle of the unshaded triangle, 120° of that amount is take up by two internal angles of the equilateral triangles. Those are 60° each. So, the obtuse angle in the unshaded triangle is ...

  252° -120° = 132°

That triangle is isosceles, so the angle at b is ...

  2b° +132° = 180°

  b = (180 -132)/2 = 48/2 = 24

  Angle b = 24°

Answer:

a = 108 °

b = 24°

Step-by-step explanation:

Answer:

D. the initial height of the paper airplane

Step-by-step explanation:

Answer:

168<266

Step-by-step explanation:

Answer:

168<266 (Did it on college bridge)

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

8 yellow / 8 total = 8/8 = 1

Answer:

Slope= -1

Step-by-step explanation:

The point is X

Answer:

-1

Step-by-step explanation:

because the number in front of the x is your slope

Answer:

oligarchy

Step-by-step explanation:

Answer:

28.26 units

Step-by-step explanation:

Given:

Radius (r) = 9

π = 3.14

Required:

Arc length

Solution:

Arc length = θ/360 × 2πr

θ = 180° (half of a circle = 180°)

Plug in the values into the formula

Arc length = 180/360 × 2 × 3.14 × 9

Arc length = ½ × 56.52

Arc length = 28.26 units

Answer:

Direction of travel.

Step-by-step explanation:

Given that two vehicles traveled 200 km in 3 hours ;

Distance apart after 3 hours = 400 km

A logical solution to this final distance between the two cars can be explained by their direction of travel.

Since the Cars both covered the same distance over the same period of time, the both cars must have started from a common point and traveled in opposite direction.

Meaning ;

Car 1 traveled 200 km in a certain direction

Car 2 traveled 200km in the opposite direction

Hence, distance between the cars will be :

Distance covered by car 1 + distance covered by car 2

200km + 200km = 400km

Answer: Yes it can!

Step-by-step explanation:

This is called a scalene triangle, where all 3 sides are different lengths.

Answer:

4^2+3^2=x^2

16+9=x^2

25=x^2

X=5

So the answer is 5

Answer:

Step-by-step explanation:

173-10+3(25+1)=241

238-9=229

238-7=231

118-7=111

118-9=109

Answer:

$17.64

Step-by-step explanation:

First multiply 2.94 and 1.5 to find the price for 1.5 gallon os milk.

2.94 x 1.5 = 4.41

Then you multpily by 4 to see the balance after 4 weeks

4.41 x 4 = 17.64

Answer:

A) 127.16π m³

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

Given:

r = 3.4

h = 11

Work:

V = πr²h

V = π(3.4²)(11)

V = π(11.56)(11)

V = 127.16π

Answer:

hey bestie, its 127.16

Step-by-step explanation:

3.4 squared is 11.56

and 11.56 times 11 is 127.16

Answer:

30 cm³

Step-by-step explanation:

volume of a rectangle prism: width × length × height

=> 2 × 3 × 5 = 30

Answer:

show the options

Step-by-step explanation:

.....................

Answer:

51

Step-by-step explanation:

Each gallon is equal to 8 pints. That means that you can just multiply 8 by 6, which gives you 48, then add 3.

Hope that this helps!

Answer:

51

Step-by-step explanation:

Answer:

The first one is 30

The second one is 20

Step-by-step explanation: