evaluate the trigonometric funtion of the angle theta​

Triangular number sequnce

Step-by-step explanation:

Volume of a sphere is

[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

We are given the volume, v, and asked to find the radius, r.

Substitute 4500 ft^3 for v, solve for r.

[tex]4500 = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

Multiply both sides by 3/4 to eliminate 4/3

[tex] \frac{3}{4} \times 4500 = \frac{4}{3} \times \pi \times {r}^{3} \times \frac{3}{4} [/tex]

[tex] \frac{13500}{4} = \pi \times {r}^{3} \: \\ then \: divide \: by \: \pi[/tex]

[tex] \frac{3375}{\pi} = {r}^{3 \: \: take \: the \: cubed \: root \: of \: both \: sides} [/tex]

[tex] \frac{ \sqrt[3]{ {15}^{3} } }{ \sqrt[3]{\pi} } = \sqrt[3]{r} [/tex]

[tex] \frac{15}{ \sqrt[3]{\pi} } = r [/tex]

That approximates to 10.27 ft^3

You want to leave a 18% tip on a meal that cost $150.

First, convert the 18% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 18%) by 100%.So, the conversational term "18%" becomes 18% / 100% = 0.18 in terms of a real mathematical number.

Second, you need to find out what 18% of your $150 meal cost is.This is always done by multiplying 0.18 by $150.00, or

0.18 x $150.00=$27.00.

So, the amount of tip you are going to leave is $27.00.

This makes the total cost of your meal (to write on your charge slip or other payment)

$150.00 + $27.00 = $177.00.

-By TheRealMarinette

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Answer:

3(5x+3)(5x-3)

Step-by-step explanation:

75x^2-27=3(25x^2-9)=3(5x+3)(5x-3)

Answer:

y = 1/4x + 2

Step-by-step explanation:

slope is 2/8 which is simplified to 1/4

y intercept is 2

Answer:

Step-by-step explanation:

So for the given information, it would be easiest to use slope-intercept form, which is y=mx + b, where m is the slope and b is the y-intercept.

We can plug in 2/3 for the slope, because we are given that.

y=2/3x + b.

To find the y-intercept, plug in the given point for x and y and solve for b.

-5 = 2/3 · (-3) + b

-5 = -2 + b

b = -3

So now we have the complete equation of the line.

y = 2/3x -3

Now to graphing.

We can put the y-intercept, (0, -3), and the given point, (-3, -5) on a graph.

The height of the triangle is 4 cm if the a = 6 cm and b = 5 cm and applying Pythagoras theorem.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We can draw a right angle triangle to find the hieght of the triangle.

Applying Pythagoras theorem.

Let h be the height:

b² = (a/2)² + h²

5² = (6/2)² + h²

5² = (3)² + h²

h = 4 cm

Thus, the height of the triangle is 4 cm if the a = 6 cm and b = 5 cm and applying Pythagoras theorem.

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Answer:

∠ 4 = 117°

Step-by-step explanation:

∠ 1 and ∠ 4 are alternate angles and supplementary, sum to 180°, then

∠ 4 = 180° - 63° = 117°

Answer: The answer is 117

Step-by-step explanation: I just took the Quiz hehe lol

Answer:

Step-by-step explanation:

The additional information which needed to prove triangle STW similar to triangle XYZ are SW = 15 and TW = 24

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

Given that, two triangles STW and XYZ, ST = 27, XY = 9, YZ = 8 and XZ = 5

We need to select a statement which will complete the proof of Δ STW ~ Δ XYZ

We know that, Similar triangles have the same corresponding angle measures and proportional side lengths.

If we consider Δ STW ~ Δ XYZ,then we get,

ST / XY = TW / YZ = SW / XZ = 3

Therefore,

SW / XZ = 3

SW / 5 = 3

SW = 15

Also,

TW / YZ = 3

TW / 8 = 3

TW = 24

Hence, the additional information which needed to prove triangle STW similar to triangle XYZ are SW = 15 and TW = 24

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Answer: yes its 3! I took the test its 3

Step-by-step explanation:

Answer:

|6-8|=2

Step-by-step explanation:

You see, absolute value makes any number positive. It doesn't matter if the number was already positive or negative. |x|>=0. If that makes sense. So, 6-8 would be -2. But -2 in absolute value would be 2.

Answer:

1/3

Step-by-step explanation:

each color takes up 1/3 of the bag

Answer:1/3

Step-by-step explanation:6x6x6=18 divided by 6=3

Answer:

-2

Step-by-step explanation:

The first equation simplifies to -2x+8 so p should be replaced with -2

The value of p so that the expression 6x+3-(8x-5) is equivalent to (px+8) is, -2

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

An expression,  6x+3-(8x-5)

another expression, (px+8)

Value of p for which both the expressions are equivalent = ?

So now, we can compare both the expressions

⇒   6x+3-(8x-5)

⇒  6x+3-8x+5

⇒  -2x+8

if compare it with (px+8)

then, p = -2

Hence, the values of p is -2

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Answer:

quick question that 1 4 supposed to be a fraction? as in 1/4?

Answer:

P = 201.

Step-by-step explanation:

In mathematics, distributivity is a property of binary operations in which the multiplication is distributed, dividing the same multiplier by the different multipliers to obtain the result.

Thus, to solve the equation -4 (P - 212) = 44 the following calculation must be performed:

-4 (P - 212) = 44

(-4 x P) - (-4 x 212) = 44

-4P - (-848) = 44

-4P + 848 = 44

-4P = 44 - 848

-4P = -804

P = -804 / -4

P = 201

Answer:

0

Step-by-step explanation:

Slope is Rise over Run (y / x).

For 2 points, you would take the difference of y-coordinates and divide by the difference of x-coordinates.

(Y1 - Y2) / (X1 - X2)

Since both y-coordinates are the same (ten minus ten), your slope is zero (zero divided by anything is zero).

Answer:

Step-by-step explanation:

The scale factor describes the size of an enlargement or reduction. For example, a scale factor of means that the new shape is twice the size of the original. A scale factor of means that the new shape is three times the size of the original.

Answer:

Step-by-step explanation:

(0,3)

Answer:

4

Step-by-step explanation:

Step-by-step explanation:

11,90,385 is the correct answer.

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Answer: The answer to that is 1190385.

Answer:

878

Step-by-step explanation:

439 x 2

2x9= 18

2x30=60

2x400=800

Then add

800+60+18

60+18=78

800+78= 878

Answer:

S= 15W

Step-by-step explanation:

Given data

We are told that Amanda saves $15 per week for her summer vacation

Let her total savings be S

and the number of weeks be W

Hence the expression for her savings is

S= 15W

Answer: The expression that represents the perimeter, in centimeters, of the rectangle=20p + 11 centimeters

Step-by-step explanation:

Perimeter of a rectangle = 2(l+w)

length measures (8p+8)centimetres.

width  measures (2p-5) centimeters,

Such that Perimeter= 2 L +2 W

Perimeter= 2( 8p+8) + 2(2p-5 )      This gives the expression to solve for the Perimeter

Solving

Perimeter= 2( 8p+8) + 2(2p-5 )

Permeter= 16p+ 16+ 4p-5

 Perimeter=   16p+4p+16-5

Perimeter= 20p + 11 centimeters

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Explanation:

The solution occurs where the two lines intersect. From this intersection point, draw a vertical line upward until you reach the x axis. We arrive somewhere between -5 and -6. A good estimate is to say that we're at the midpoint, so x = -5 & 1/2 is one possible estimate

Since only choice D has this x value, this must mean choice D is the answer. The y coordinate of y = -3 & 1/4 seems to fit as well since we can draw a horizontal line from the point of intersection to the y axis, and arrive somewhere just a little below -3.

Answer:

hundreds

Step-by-step explanation:

hundreds because in the hundreds place in the number 62996 there's number 9, which it's greater than 4, so it will add 1 to the thousands and all the numbers in the right will be zero

Answer:

8

Step-by-step explanation:

10 divided by 1 1/4 = 8

Answer:

23247 cats

Step-by-step explanation:

Answer:

- 15

Step-by-step explanation:

[tex] \frac{1}{3} a = - 5 \\ \\ a = - 5 \times 3 \\ \\ a = - 15[/tex]

Answer:

-15

Step-by-step explanation:

As you can see, the denominator of 1/3 is 3. 1 third of a is -5. So what you do is, you multiply -5 * 3 and that'll give you -15. So, it is equal to -15.