Janay cut a drinking straw into three pieces (shown below) to investigate a triangle postulate. He moves the straw pieces to make triangles that have been translated, rotated, and reflected from an original position. The end of one piece is always touching the end of another piece. Which postulate could Zhan be investigating using only these straw pieces and no other tools?​

Volume is a three-dimensional scalar quantity. The height of the cone is 175.075 units.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the right cone is 41,251 unit³, while the diameter of the cone is 30 units. Therefore, the radius of the cone is 15 units. Thus, the height of the cone will be,

Volume = (1/3)×π×r²×h

41,251 = (1/3)×π×(15²)×h

h = 175.075 units

Hence, the height of the cone is 175.075 units.

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Answer:

72 cm²

Identify the given sides:

Surface area of rectangular prism:

TSA

Answer:

84.8

Step-by-step explanation:

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \cdot 3.14 \cdot 9^2\\\\& = \dfrac{1}{3} \cdot 3.14 \cdot 81\\\\& = 84.78\\\\ & = 84.8\: \sf (nearest\:tenth)\end{aligned}[/tex]

Answer:

A ≈ 84.8 units²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{120}{360}[/tex]

   = π × 9² × [tex]\frac{1}{3}[/tex]

  = 81π × [tex]\frac{1}{3}[/tex]

  = 27π

 = 27 × 3.14

 ≈  84.8 units² ( to the nearest tenth )

Answer:

The tree diagram would be best for a probability calculation with two or more “and” statements, option (c) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

A probability calculation can be computed using multiple models, each of which is dependent on the given parameters. A graphical model, such as a tree diagram, or an analytical model, such as the systematic list model, can be used.

Tree diagram models are useful for visually showing complex probabilities and aiding solution visualization.

Thus, the tree diagram would be best for a probability calculation with two or more “and” statements option (c) is correct.

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Answer: The answer is C.

Step-by-step explanation:

Simplify the radical by breaking the radicals up into a product of known factors, assuming real numbers.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

a+(-5)=-9

What is a equal to?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, a+(-5)=-9 can be written as follows:-

⇒a-5=-9

Now, add 5 to both sides:-

⇒a=-9+5

And finally,

⇒a=-4

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Answer:

a = -4

Step-by-step explanation:

We have to,

Find the required value of a,

→ a + (-5) = -9

→ a - 5 = -9

→ a = -9 + 5

→ [ a = -4 ]

Hence, the value of a is -4.

Answer:x^2−8x+14

Step-by-step explanation:

Convert to required form: x^2−8x+14Answer: x^2−8x+14

Answer:

1.6 hours

Step-by-step explanation:

h = hours

rate * time = distance

time = distance / rate

h = 92.8 / 58

h = 1.6 hours

1.6 hours = 1 hour 36 minutes

Answer:

11.1 units

Step-by-step explanation:

In a right triangle    sin (angle ) = opposite side / hpotenuse

 for this one

  sin 38 = EF/18  

then    18 sin 38 = EF     then calculator shows   EF = 11.1

Answer:75.8

Step-by-step explanation:

if the hundredth place to the right of the desimel is more than or 5 then the number to the right of the 5 is going to increase its value by 1

Answer:

The rate of dissolving depends on the surface area, temperature and amount of stirring.

Step-by-step explanation:

Answer:

the factors that effect rate of disssolving are as follows

Step-by-step explanation:

Answer:

0.267

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

we know that If two angles are complementary, then their sum is equal to 90 degrees

Letx -----> the measure of an angle

 y-----> the measure of he other angle

we know thatx+y=90 -----> y=90

-x -----> equation

Ax=y+54 ----> equation

Bsubstitute equation B in equation A and solve for yy=90-(y+54)

y=90-y-542y=36y=18°

Find the value of xx=y+54 -----> x=18+54=72°

thereforeThe measure of the angles are 72 degrees and 18 degrees

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

           An angle measures 54º more than the measure of its supplementary angle. What is the measure of each angle?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

Angle Measurements:- 63º and 117º

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                        Supplementary angles add up to 180º.

Now, let the unknown angle be n.

Set up an equation:-

[tex]\bigstar[/tex] [tex]\textsf{n+n+54=180}[/tex] (remember, supplementary angles add up to 180)

Add the n's :

[tex]\textsf{2n+54=180}[/tex]

Subtract 54 on both sides:

[tex]\textsf{2n=126}[/tex]

Divide by 2 on both sides:

[tex]\textsf{n=63\textdegree}[/tex]

Now, add 54 to find the other angle:

63+54=117

Check:-

We can easily check our work by adding the two angles together and seeing whether or not we end up with 180º.

[tex]\textsf{63+117=180}[/tex]

[tex]\textsf{180=180}\LARGE\checkmark[/tex]

LHS=RHS (Left-Hand Side = Right-Hand Side)

Hence, the angles are 63 and 117.  [tex]\checkmark[/tex]

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Answer:

D)    [tex]d=\sqrt{(6-9)^2+(3-(-2))^2}[/tex]

Step-by-step explanation:

Distance between two points formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given:

(x₂, y₂) = (6, 3)

(x₁, y₁) = (9, -2)

[tex]\implies d=\sqrt{(6-9)^2+(3-(-2))^2}[/tex]

Answer:

[tex]\large \textsf{d = $\sqrt{(6-9)^2+(3-(-2))^2}$}[/tex]

Step-by-step explanation:

Distance formula: [tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}[/tex]

Distance between the points (9, -2) and (6, 3):

[tex]\large \textsf {d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$}\\\\\large \textsf{d = $\sqrt{(6-9)^2+(3-(-2))^2}$}\\\\\large \textsf{d = $\sqrt{(6-9)^2+(3+2)^2}$}\\\\[/tex]

Hope this helps!

Answer:

yeah how can i help help you

Answer:

The equation the repair service use to charge customers is c = 30h + 40

Step-by-step explanation:

If h = 1

Cost, c = 30h + 40

= 30(1) + 40

= $70

h = 2

c = 30(2) + 40

= $100

h = 3

c = 30(3)+ 40

= $130

h = 4

c = 30(4) + 40

= $160

h = 5

c = 30(5) + 40

= $190

h = 6

c = 30(6) + 40

= $220

Answer:

8.25

Step-by-step explanation:

Answer: 83.25

Explanation: Take your money amount of $75.00 and add the tax rate of 11% to get your answer.

Hopefully this helps!

Step-by-step explanation:

270°/360° ×π×13²

Area of sector=398.20

Answer:

2x² + 6x + 8

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 6x + 8 + 2x²

= 2x² + 6x + 8

The value of x in the following diagram in which the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8, is 3.5 units.

The line which is drawn from the center of the circle perpendicular to  the chord in the circle bisect the chord into two equal shape.

In the given, diagram the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8.

These both the lines are equal in length as both are drawn from the center of the circle and has a perpendicular bisector for the 15 units length chord in the circle. Thus,

[tex]3x+1=x+8\\3x-x=8-1\\2x=7\\x=\dfrac{7}{2}\\x=3.5[/tex]

Thus, the value of x in the following diagram in which the length of Q to line EF is 3x+1 and the length of Q from the line HG is x+8, is 3.5 units.

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Answer:

18

Step-by-step explanation:

[tex]0.25*75 = 18\\[/tex] (must round down for population)

The interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.

A series is convergent  if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We can find the interval for the convergent by root test.

Like the Ratio Test, the root Test is used to determine absolute convergence (or not) with factorials, the ratio test is useful.

For the given series:

[tex]\sum^{\infty}_{n=0}\dfrac{3^n}{x^n}[/tex]

As the series goes infinitely, we can use root test.

By the root test, the convergence interval will be;

The interval of convergence is:

x < -3 or x > 3   we can write this as:

|x| < 3

Thus, the interval of the convergence is x < -3 or x > 3 if the series n 3^n/x^n goes infinitely.

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Answer: C 75

Step-by-step explanation: time to distance is ratio 4:5 = 60:X

In 1min He walks 5/4

in 60mins He walks 5/4 ×60

Answer:

things that can be naturally replaced in a short period of time

The box is considered a unit cube because the volume of the cube is 1 cubic unit.

Suppose that: The side length of the considered cube is L units. Then, we get:

Volume of that cube = L³ cubic units.

A small box is 1 unit long, 1 unit wide, and 1 unit high.

Volume = 1³

Volume = 1 unit³

The box is considered a unit cube because the volume of the cube is 1 cubic unit.

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Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

The unit price is the amount of money required to buy one unit of a item or goods.

To find the unit price, divide the total cost of the goods to the total number of goods.

The cost of repair will now be $60. Thus, the total cost of 50 earrings is,

[tex]C=60\times50\\C=3000[/tex]

Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. Thus, the new selling price of her earring is,

[tex]P=60+5\\P=65[/tex]

The sale's price of 50 earrings is,

[tex]P=50\times65\\P=3250[/tex]

She has also improved the quality control so that only 1 pair in 50 need to be returned for repair. Thus, the cost price of one earring has to be removed from the sales price of 50 earrings as,

[tex]P=3250-60\\P=3190[/tex]

The profit made by her company on 50 earrings is

[tex]p=P-C\\p=3190-3000\\p=190[/tex]

Thus, Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

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