Which one is not a characteristic of all parallelograms?

Answer:

Step-by-step explanation:

I was using 6×8 rectangle as a base of the triangular prism (as shows on the picture.

Let use the definition of a triangular prism and LSA = (5 + 5 + 6) × 8 = 128 cm²

The lateral surface area of the triangular prism is 128 square cm.

A triangular Prism is a pentahedron. It is a 3-D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The edges and vertices of the bases are joined with each other via three rectangular sides.

For the given situation,

The sides of the triangle are 5 cm, 6 cm, 5 cm.

The length of the prism = 8 cm

The formula for lateral surface area of triangular prism is

[tex]LSA=(perimeter)(length)[/tex]

On substituting the above values,

⇒ [tex]LSA=(5+6+5)(8)[/tex]

⇒ [tex]LSA=(16)(8)\\[/tex]

⇒ [tex]LSA=128[/tex]

Hence we can conclude that the lateral surface area of the triangular prism is 128 square cm.

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Explanation:

Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.

That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.

We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.

-----------------------------------

Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.

We'll use the pythagorean theorem to find XZ

a^2 + b^2 = c^2

(XZ)^2 + (ZY)^2 = (XY)^2

(XZ)^2 + (5)^2 = (13)^2

(XZ)^2 + 25 = 169

(XZ)^2 = 169-25

(XZ)^2 = 144

XZ = sqrt(144)

XZ = 12

Segment XZ is 12 inches long.

Answer:

sin2θ = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Since, sin2θ = 2sinθcosθ

From the triangle given in the picture,

Opposite side of angle θ = 2 units

Adjacent side of angle θ = 3 units

Hypotenuse = [tex]\sqrt{2^2+3^2}[/tex] = [tex]\sqrt{13}[/tex] [By Pythagoras theorem]

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

       = [tex]\frac{2}{\sqrt{13}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

        = [tex]\frac{3}{\sqrt{13} }[/tex]

sin2θ = [tex]2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})[/tex]

         = [tex]\frac{12}{13}[/tex]

Answer:

The correct option is;

False

Step-by-step explanation:

The equation of the graphs of conic sections (all of which can have axis of symmetry that can be oriented parallel to the y-axis) includes;

Circle; (x - h)² + (y - k)² = r²

Parabola; y = a·(x - h)² + k

[tex]Ellipse; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

[tex]Hyperbola; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y-axis can be either a circle, a parabola, an ellipse, or an hyperbola

Therefore, the graph may not be the graph of a parabola and the statement is false

Answer:

The correct answer is True

Step-by-step explanation:

I took the quiz and got it right.

answer:

he would use 3 cups of sugar and would need to multiply

step-by-step explanation:

6 X 1/2 = 3 cups of sugar

The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm

Raised ? rabbit.​

Answer:

true

Step-by-step explanation:

i think

Answer:

4.64

Step-by-step explanation:

If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!

Answer:

$4.64

Step-by-step explanation:

3 x 1.45 = 4.35

1.45 x .2 = .29

4.35 +.29 = 4.64

9514 1404 393

Answer:

  a) zeros: -2/3, 6

  b) x < -2/3, signs: -, -; sign of product: +

  -2/3 < x < 6, signs: +, -; sign of product: -

  x > 6, signs: + +; sign of product: +

  c) solution: x < -2/3 ∪ x > 6

Step-by-step explanation:

a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)

  3x +2 = 0   ⇒   x = -2/3

  x -6 = 0   ⇒   x = 6

The zeros of the quadratic are x = -2/3 and x = 6.

__

b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.

__

c) The solution is where the signs of the factors match:

  x < -2/3 or -6 < x

Answer:

x3+2x2-17x+6.

Step-by-step explanation:

(x2+5x-2)(x-3)

= x(x2+5x-2)-3(x2+5x-2)

= x3 +5x2-2x-3x2-15x+6

Simplifying like terms:

= x3+2x2-17x+6

Answer: 1 =5$

200$=40

Step-by-step explanation:

Answer:

40 boxes

Step-by-step explanation:

200 = 5x

x = 40

Answer:

The answer is -3 - 2/3

Step-by-step explanation:

Just subtract

16+23=39

180-39=151

Answer:

151

Answer:

200

Step-by-step explanation:

100✓9283+374+_+38_+_+_("#9#9_+

Answer:

x = 6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Answer:

question of number 10 is 3

Answer:

43

Step-by-step explanation:

Complete Question:

Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.

Part A= 12 x ? = ? ft²

Part B= 0.5 x ? x 9 = ?ft²

Part C= 0.5 x 7 x ? = ?ft²

Total Area= ?ft²

Answer:

[tex]A = 108ft^2[/tex]

[tex]B = 27ft^2[/tex]

[tex]C = 24.5ft^2[/tex]

[tex]Area = 159.50ft^2[/tex]

Step-by-step explanation:

Given

See attachment

From the attachment;

Part A is a rectangle with dimension 9ft by 12ft

So,

[tex]A = 12ft * 9ft[/tex]

[tex]A = 108ft^2[/tex]

Part B is a triangle with dimension: height = 6 and base = 9

The height is calculated as:

[tex]Height = 12ft - 6ft = 6ft[/tex]

And the base is:

[tex]Base = 18ft - 9ft = 9ft[/tex]

So, the area is:

[tex]B = 0.5 * 6ft * 9ft[/tex]

[tex]B = 27ft^2[/tex]

Part C is a triangle with dimension: height = 7 and base = 7

So, the area is:

[tex]C = 0.5 * 7 * 7ft^2[/tex]

[tex]C = 24.5ft^2[/tex]

Total Area is:

[tex]Area = A + B + C[/tex]

[tex]Area = 108ft^2 + 27ft^2 + 24.5ft^2[/tex]

[tex]Area = 159.50ft^2[/tex]

Answer:

84

Step-by-step explanation:

To divide two fractions we turn the second fraction upside down and multiply two fractions

21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1

This can be written as 84

Answer:

90+42+x = 180

132+x=180

x=180-132

x=48

Answer:

48 DEGREES

Step-by-step explanation:

First you need to find the other two angles : 42 + 90 = 132 ( the 90 comes from the little square like shape on the other angle).

So x = 180 - 132 = 48 ( we use 180 because it is the sum of interior angles of a triangle.

HOPE THIS HELPED

Answer: 116.67

Step-by-step explanation:

30/100 * x = 35

3/10 * x = 35

3x = 350

x = 116.67

Answer:

24

Step-by-step explanation:

It take 4 to make one yard and you need six yards soo..

6 x 4 = 24

Answer:

24 ornaments

Step-by-step explanation:

[tex]\frac{1}{4} = 25%[/tex]%

6 yards x 0.25 = 1.5 yards

[tex]\frac{6}{0.25} = 24[/tex] ornaments

to check:

24 ornaments x 0.25 yards each = 6 yards in total

Answer:

$35

Step-by-step explanation:

188-48 gives you the 4x what he saved

140/4 gives you the total which is 35.

Answer:

Simplified: 9 2/3

Step-by-step explanation:

Convert the mixed numbers into improper fractions

To do this, multiply the denominator by the whole number and add the numerator: (denominator × whole number + numerator)/denoninator

First fraction:

5 11/12

(12 × 5 + 11)/12

(60 + 11)/12

71/12

Next fraction:

3 9/12

(12 × 3 + 9)/12

(36 + 9)/12

45/12

Substitute these fractions in the original problem now:

71/12 + 45/12

Add the numerators only. The denominators stay the same.

(71 + 45)/12

116/12

Now that the calculations are done, convert this back into a whole number

How many times does 12 fit into 116 equally? If you answered 9 times, then you are correct. This 9 will sit as the whole number in the fraction

12 × 9 = 108

This doesn't equal 116 perfectly so we must find the left over

116 - 108 = 8 left over (which is used as the numerator)

9 8/12

If your class or problem asks that you simplify your answer, then look at both the numerator and denominator to determine any common factors within them

8 and 12 both have common factors of 2 and 4

Since 4 is the bigger number, divide both 8 and 12 by 4 to simplify your answer

9 2/3

Answer:

d=4

Step-by-step explanation:

because 6x4=24

-6x4=-24

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

The value of Surface Area of the cylinder is 245.04 cm².

Surface area is the amount of space covering the outside of a three-dimensional shape.

It is given that the cylinder has

radius r = 3 cm

height h = 10 cm

volume V of the cylinder = πr²h = 282.74 cm³

the lateral surface area of a cylinder

L = 2πrh

lateral surface area L = 188.495559 cm²

the top and bottom surface area of a cylinder (2 circles):

T = B = πr²

top surface area T = 28.2743339 cm²

base surface area B = 28.2743339 cm²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

total surface area A = 245.044227 cm²

total surface area A = 78 π cm²

Therefore the value of Surface Area of the cylinder is 245.04 cm².

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