Write 5 1/6 as a decimal. Show your long division work

Answer:

12 inches

Step-by-step explanation:

Given

Formula for Volume of a Cylinder

Solving

Answer:

The height is 12 inches

Step-by-step explanation:

Step 1:  Determine the knowns a formula

[tex]Volume = 764\ in^3[/tex]

[tex]Diameter = 9\ in[/tex]

[tex]Formula: V = \pi r^2h[/tex]

Step 2:  Input the values and solve

[tex]V = \pi r^2h[/tex]

[tex]764\ in^3 = \pi (9/2\ in)^2h[/tex]

[tex]764\ in^3 = \pi (20.25\ in^2)h[/tex]

[tex]764\ in^3 =63.617\ in^2 * h[/tex]

[tex]\frac{764\ in^3}{63.617\ in^2} = \frac{63.617\ in^2 * h}{63.617\ in^2}[/tex]

[tex]12.0\ in = h[/tex]

Answer: The height is 12 inches

Answer:

Number of calculators n(C)=860

Number of defectives n(D)=9

The probability of a random number being defective=n(D)/n(C)

p=9/860.

converting this to a percentage gives us, 9/860×100%

=90/86

=45/43

=1.0465%

Therefore rounding this number to the nearest tenth gives us 1.0 % since the hundredth digit is 4 which is less than 5.

so, the probability of choosing a random defective calculator is 1.0%

Answer:

opal : 5

lynette : 7.5 (7 hrs and 30 mins)

Step-by-step explanation:

The lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.

The lateral surface area of a figure is the area of the non-base faces only. The lateral surface of an object is all of the sides of the object, excluding its base and top.

For the given situation,

The diagram shows the cone A and the cylinder B.

Cone A has the radius r and the slant height as h.

Cylinder B has the radius r and the height as h.

The lateral surface area of cone is [tex]\pi rh[/tex]

The lateral surface area of cylinder is [tex]2\pi rh[/tex]

1/2 × lateral surface area of cylinder B,

⇒ [tex]\frac{1}{2} (2\pi rh)[/tex]

⇒ [tex]\pi rh[/tex] = lateral surface area of cone A.

Hence we can conclude that the lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B is option (A) true.

Learn more about lateral surface area here

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2x+9+3x+x=6x+9

⇒ INFINITE SOLUTUIONS

Answer:

98 = 2w + 2L,

L = 3w

Step-by-step explanation:

Use the perimeter formula:

2) Perimeter = 2w + 2L (where w is the width and L is the length)

Since the length is three times the width we can write:

L = 3w

We can substitue L with 3w:

Perimeter is equal to 98 so,

98 = 2w + 6w = 8w

W = 98/8

Therefore w is 12.25, and L is 36.75

Answer:

y=14,x=8

Step-by-step explanation:

We know that in congruent triangles, angle measures and side lengths are equal.

Therefore <b=<e and AB=DE

80=6y-4

84=6y

y=14

3x-y=10

3x-14=10

3x=24

x=8

Answer:

UY = 20

WX = 15

VW = 15

Step-by-step explanation:

Given:  UVWXY ~ HDEFG

From inspection of the diagram, the corresponding sides are:

UV~HD

VW~DE

WX~EF

XY~FG

UY~HG

The only pair of sides that both have side lengths are XY and FG. Therefore, we can use these to figure out the scale factor of dilation.

XY = 10 and   FG = 20

⇒ FG/XY= 20/10 = 2

Therefore, HDEFG is an enlargement of UVWXY by a scale factor of 2

If HG = 40

⇒ UY = 40 ÷ 2 = 20

If EF = 30

⇒ WX = 30 ÷ 2 = 15

If DE = 30

⇒ VW = 30 ÷ 2 = 15

Answer:

UY = 20, WX = 15, VW = 15

Step-by-step explanation:

Step 1:  Determine the scale

XY = 10 and FG = 20

[tex]10/20 = 0.5[/tex]

Step 2:  Determine UY

We can determine UY by multipliying GF by 0.5 which will give us the upscaled ratio which will produce UY.

[tex]UY = GF * 0.5[/tex]

[tex]UY = 40 * 0.5[/tex]

[tex]UY = 20[/tex]

Step 3:  Determine WX

We can determine WX by multipliying FE by 0.5 which will give us the upscaled ratio which will produce WX.

[tex]WX = FE * 0.5[/tex]

[tex]WX = 30 * 0.5[/tex]

[tex]WX = 15[/tex]

Step 4:  Determine VW

We can determine VW by multipliying ED by 0.5 which will give us the upscaled ratio which will produce VW.

[tex]VW = ED * 0.5[/tex]

[tex]VW = 30 * 0.5[/tex]

[tex]VW = 15[/tex]

Answer: UY = 20, WX = 15, VW = 15

Answer:

2.99973 but i would put 3 just incase

Step-by-step explanation:

just search on the internet "right triangle calculator"  and click one of the links

Answer:

x = 14º 30'   OR  14.5º

Step-by-step explanation:

(x + 14)º = (3x – 15)º

3x -x = 14º +15º

2x = 29º

x = 14º 30'   OR  14.5º

Answer:

x = 14,641

Step-by-step explanation:

[tex] \sqrt{x} = 121 \\squaring \: both \: sides \\ \implies \: {( \sqrt{x}) }^{2} = {(121)}^{2} \\ \\ \implies \: x = 14,641[/tex]

Answer:

(3x - 5  )

(2x + 5)

Step-by-step explanation:

f(x) =  6x² + 5x - 25

Let's factor it:-

We need 2 numbers whose product = ( 6*-25) = -150 and whose sum =  + 5.

These are 15 and -10. So we write:

f(x) = 6x^2 + 15x - 10x - 25

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

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

So the factors are  (3x - 5) and (2x + 5)

[tex]y = 14r^2 + 70r + 72\\\text{let}\ y = 0\\12r^2 + 70r + 72 = 0\\6r^2 + 35r + 36 = 0\\(2r + 9)(3r + 4)\\[/tex]

Answer:

69

Step-by-step explanation:

All angles in a triangle = 180°

35 + x + (x+7) = 180

42 + 2x = 180

2x = 138

x = 69

Hope this helps!

The factorization of the polynomial [tex]x^2 + 6x + 8 is (x + 2)(x + 4)[/tex], which is option A.

To factor the polynomial[tex]x^2 + 6x + 8[/tex], we need to find two numbers whose product is 8 and whose sum is 6, since we're looking for two terms that add up to the middle coefficient of the quadratic expression.

The factors of 8 are ±1, ±2, ±4, and ±8. The pairs of factors that add up to 6 are (2, 4) and (-2, -4). Since the second coefficient is positive, we can select the pair (2, 4), since their sum is positive 6.

Using these factors, we can rewrite the quadratic expression as:

x^2 + 6x + 8 = (x + 2)(x + 4)

We can check our work by expanding the factors using the distributive property:

(x + 2)(x + 4) =[tex]x^2 + 4x + 2x + 8 = x^2 + 6x + 8[/tex]

This confirms that the factorization is correct.(option-a)

For such more questions on polynomial

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Answer:

(–∞, 0) ∪ (1, ∞)

Step-by-step explanation:

From (0, 1) the graph goes down, or decreases. From (–∞, 0) ∪ (1, ∞) the graph goes up, or increases.

I hope this helps!

The function increases where the slope is positive.

The graph starts out by increasing: -infinity

The graph switches to decreasing at x = 0

The graph switches to increasing at x = 1

The graph increases until infinity

(-infinity, 0) U (1, infinity)

Correct Answer: Option 3

Hope this helps!

Answer:

2. The change in expected height for every one additional centimeter of femur length.

Step-by-step explanation:

1. The expected height for someone with a femur length of 65 centimeters.

Doesn't make sense, that would be height value when centimeters = 65.

2. The change in expected height for every one additional centimeter of femur length.

Makes sense, for every increase in one additional centimeter, we can expect the height to be proportional to the slope.

3. The femur length for someone with an expected height of 2.5 centimeters.

Doesn't make sense, the linear relationship relies on the femur length to get the height.

4. The change in expected femur length for every one additional centimeter of height.

Doesn't make sense, again, the linear relationship relies on the femur length.

Answer:

Hence, the height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

The height of the trapezoidal base is 7.2 ft.

Step-by-step explanation:

Consider the provided information.

The volume of trapezoidal prism is the area of the cross-section × the length.

Where B is the area of base, H is the length and V is the volume.

The length of the prism is 25.2ft and volume is 1279.152

Hence, the base area is 50.76 ft².

The base is trapezoid.

The area of trapezoid is

Substitute B=50.76,  in above formula.

Hence, the height of the trapezoidal base is 7.2 ft.

Answer:

B

Step-by-step explanation:

17<9 + x

group like them

17-9 < x

the sign changes due to the negative

8>x

Answer:

The answer is B, [3,10].

Step-by-step explanation:

Answer:

x = 15 , y = 15√(2)

Step-by-step explanation:

The triangle is isosceles where two angles are the same which mean two sides are also the same.

x = 15°

Pythagorean Theorem: a^2 + b^2 = c^2

15^2 + x^2 = y^2

15^2 + 15^2 = y^2

225 + 225 = y^2

450 = y^2

y = √(450) = 15√(2)

Answer:

x=15 and y=15root2

Step-by-step explanation:

tan45=p/b

1=x/15

x=15

again for right angle trangle

h=root (p+b)

=15root2 ans

Answer:

C. 1

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\sqrt{\sqrt{\sqrt{x}}} = 16}[/tex]

The equation can be rewritten as:

[tex]\displaystyle \large{\sqrt[8]{x} = 16}[/tex] via surd property.

Since it’s an even surd, that means there only exists zero-positive numbers for value of x.

To solve this surd equation, simply clear out the surd by powering both sides by 8:

[tex]\displaystyle \large{\left(\sqrt[8]{x}\right )^8=(16)^8}[/tex]

Cancel the surd:

[tex]\displaystyle \large{x=16^8}[/tex]

Now, evaluating 16^8 will give up a million and that’s not necessary because we are finding how many solutions this equation has. Since theee only exists one value of x, which is the solution to this equation. Therefore:

Your answer is 1 solution

Answer

-4=lnx

Step-by-step explanation:

So if you raise both side to the ln then the e's cancel out and you are left with lnx=-4

another way to think about it is this:

Answer:

5

Step-by-step explanation:

in each sample there were 50 students, in a group of 800 there would be 16 samples taken, if you divide the total amount of kids with Novemeber birthdays, 80 by the amount of samples, 16, youll learn that in each sample there are 5 students to have a birthday in november within each sample, hope this helps.

Answer:

differentiation

Step-by-step explanation:

maths class