If θ=7π/6, then
tan(θ)=
cot(θ)=
sec(θ)=
csc(θ)=

Give exact values. No decimals allowed!

Answer:

Hi

999

Step-by-step explanation:

Answer:

4pi/15=θ  - i think

Step-by-step explanation:

S = r*θ

r=9

s=12pi/5

12pi/5=9*θ

12pi/45=θ

4pi/15=θ

Answer:

C.   1056 ft³

Step-by-step explanation:

V = Bh

V = 96 ft² × 11 ft

V = 1056 ft³

The height of the sunflower is got increased by 15% will be 92 inches.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

Maya established sunflowers locally garden. During her last visit to the nursery, the plants were 80 inches tall. Today, Maya viewed them as 15% taller.

The length of the sunflower will be given as,

⇒ 80 x (1 + 0.15)

Simplify the expression, then we have

⇒ 80 x (1 + 0.15)

⇒ 80 x 1.15

⇒ 92 inches

The height of the sunflower is got increased by 15% will be 92 inches.

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Answer: Choice A) Median is about 3

Explanation:

We can use a process of elimination to rule out the non-answers.

All that's left is choice A. The median is the vertical line in the box. It's not always at the visual center. We don't have enough info to see what the median is based on just the boxplot alone. There aren't enough numbers along the horizontal scale. But a good guess of the median is some value between Q1 = 1.875 and Q3 = 3.75 so why not 3.

Answer:

f−1(x)=ln(x+4)/ 2

Step-by-step explanation:

The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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Answer:

1000 hours

Step-by-step explanation:

∫xf(x)dx = ∫x*xdx (1,0) + ∫x*(8-x)dx (2,1)

∫xf(x)dx = ∫x²dx (1,0) + ∫8x - x²dx (2,1)

∫xf(x)dx = ∫x²dx (1,0) + ∫8xdx (2,1) - ∫x²dx (2,1)

∫xf(x)dx = x³/3(1,0) + 8x²/2 (2,1) - x³/3(2,1)

∫xf(x)dx = 1/3 + 8(4/2 - 1/2) - (8/3 - 1/3)

∫xf(x)dx = 1/3 + 8(2-0.5) - (7/3)

∫xf(x)dx = 1/3 + 8(1.5) - 7/3

∫xf(x)dx = 1/3 + 12 - 7/3

∫xf(x)dx = - 6/3 + 12

∫xf(x)dx = - 2 + 12

∫xf(x)dx = 10

The average number of hours the family runs their vacuum cleaner in units of 100 hours

100 * 10 hours = 1000 hours

Answer:

60 math problems.

Step-by-step explanation:

30/2.5=12

12*5=60

Answer:

319

Step-by-step explanation:

So, to find the surface area, first we find the base area, which is: 11 x 11 = 121

Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.

So,

b = 11

h = 9

1/2 x 11 x 9 = 49.5

The, we multiply by 4, the number of sides: 49.5 x 4 = 198

Then, we add the 2, values: 121 + 198,

Which gives us: 319.

Hope this helped!

The angles that are supplementary angles are ∠ONK and ∠ONP

From the question, we are to determine which of the given angle pairs are supplementary

Supplementary angles are angles whose measures sum up to 180°.

Supplementary angles form a straight line.

In the given diagram,

∠ONK and ∠MNP are not supplementary, they are vertically opposite.

∠ONK and ∠JKN are not supplementary, they are alternate angles.

∠ONK and ∠LKI are not supplementary, they are corresponding angles.

∠ONK and ∠ONP are supplementary, they form a straight line.

Hence, the angles that are supplementary are ∠ONK and ∠ONP

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Answer:

72% of 30 is 21.6

Step-by-step explanation:

Write 72/100 as a fraction, then multiply it by 30.

72/100 X 30 = 21.6

Calucator 72 ÷ 100 x 30 = 21.6

72 percent of the value 30 will be:  \(\frac{18}{25} * 30 = 21.6\) we get this value by using  fraction method.

A fraction represents a whole object or part of a collection. A fraction consists of two parts. The number at the top of the line is called the counter. Indicates how many equal parts of the whole or collection are taken. The number below the line is called the denominator. This gives the total number of equal parts divided into a whole, or the total number of equal objects in a collection.

If you divide the whole evenly, the number of parts will be a fraction.

If you divide the pie into 8 halves and place one of them on a plate, each plate is said to contain one-eighth of his pie. It is read as "one eighth" or "one times eight".

We know that:

4% of a number = \(\frac{1}{25}\)

therefore 4*18 = 72% of the same number will be: \(\frac{18}{25}\)

So we can say that \(\frac{18}{25} * 30 = 21.6\)

So the value of 72% of thee number 30 will be: 21.6

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The value of the expression when evaluated is: 162.

To evaluate the expression, 6x^4y^3, substitute x = -1 and y = 3 into the expression and solve.

6(-1^4) × 3^3

6(1) × 27

6 × 27

162

The value of the expression, 6x^4y^3, is: 162.

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A study showed that low-intensity vibration therapy reduces pain levels in patients with fibromyalgia. What is an appropriate design for the new study? If the study consisted of 150 male and 150 female patients instead of 300 male patients?, as well as  Could your design be double-blind? are explained as

1) To get around the placebo effect, it is recommended that vibration pads be applied to the area of discomfort and that pain be measured objectively using instruments, rather than via subjective reporting. Time spent in treatment, preexisting pain levels, post-vibration pain levels throughout the day, and total daily pain intensity should all be tracked, as well as the individuals' ages.

2) To avoid any potential bias in the findings, we would split the sample evenly between male and female individuals (150 total) and use them in both the control and experimental groups (150 total).

3) Since the placebo effect may be introduced by revealing to either the subjects or the experimenters which group each individual is a part of, our design would indeed be double-blind.

Generally, a medical study is simply defined as A medical study is a trial used to evaluate the efficacy, safety, and effectiveness of potential treatments.

Medical studies  are very constrained and hidden from the public eye until results are in

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Answer:

\(=-669\)

Step-by-step explanation:

\(4\cdot \:4-20\cdot \:2-3\cdot \:215\)

\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)

\(4\cdot \:4=16\)

\(=16-20\cdot \:2-3\cdot \:215\)

\(20\cdot \:2=40\)

\(=16-40-3\cdot \:215\)

\(3\cdot \:215=645\)

\(=16-40-645\)

\(16-40=-24\)

\(=-24-645\)

\(-24-645=-669\)

\(=-669\)

Answer:

(4x^2 – 3)(x^2 – 5)

Step-by-step explanation:

Answer:

7 months

Step-by-step explanation:

He plans on depositing $200 every month into the savings account that already has $600 in it.

We can represent the amount of money he will have after a certain number of months (x) as:

A = 600 + 200x

He needs to save $2000. Therefore, to find the months he needs to save, we need to find x when A is $2000:

2000 = 600 + 200x

200x = 2000 - 600

200x = 1400

x = 1400/200 = 7 months

He needs to save for 7 months.

Answer:

x+6+x-y = 2x-y+6

Step-by-step explanation:

Given:

y varies inversely as the fourth power of x

For the inversely forth power of x is:

So the value of y is:

where,

k = constent

so the value of k is x=2 and y = 7.

Then the function is:

The expression evaluates to 20

We have :   5 |3-7|

We have to evaluate above expression.

For a function f(x) = x, which is real in nature -

f(x) = |x| =  \(\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.\)

The above property is called Modulus property. It is used to find the absolute value or magnitude of a quantity.

In the question it is given -

5 |3-4|

5 |3 - 4|

5 x 4 = 20                    {Using the property of modulus f(x) = - x  for  x < 0}

Hence, the expression evaluates to give an absolute value of 20

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Answer:  No Solutions

The system is inconsistent.

======================================================

Explanation:

A+2 = B is the same as B = A+2

We can replace B with A+2 in the first equation and solve for "A" like shown below.

A-B = 2

A-( B ) = 2

A - (A+2) = 2

A-A-2 = 2

0A-2 = 2

0-2 = 2

-2 = 2

We run into a problem. The "A" variable cancels out and the left hand side does not match with the right hand side. We get a contradiction.

No matter what we pick for A and B, there aren't any solutions to this system. We consider this system inconsistent.

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

Another approach:

Rearrange the terms of A+2 = B to get A-B = -2

The original system of

\(\begin{cases}A-B = 2\\A+2 = B\end{cases}\)

turns into

\(\begin{cases}A-B = 2\\A-B = -2\end{cases}\)

Now let C = A-B, so we can replace each "A-B" with C.

The system now updates to

\(\begin{cases}C = 2\\C = -2\end{cases}\)

But it's impossible for a variable to take on more than one value at a time. C is not able to be equal to both 2 and -2 at the same time. This is another way to arrive at a contradiction which leads to "no solution".

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

A third approach:

Replace each "A" with x. Replace each "B" with y

If you were to graph those linear equations, then you should see parallel lines forming. Parallel lines never intersect. We would need them to intersect to form a solution (x,y). This is a visually quick way to see this system has no solutions.

Notice that y = x-2 and y = x+2 have the same slope m = 1, but different y intercepts.

Answer:

$2499/20 or $124.95

Step-by-step explanation:

Here the cloth of cost per meter is $147/4

and the cost of 17/5 meters of cloth is (147/4)×(17/5) (147*17)/(4*5)

2499/20 or 124.95

hence the cost of 17/5 meters is $2499/20 or $124.95

Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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Answer:

y= 2x+6

y= x+3

1 Is slope

3 is y intercept or the line that it passes through

Answer:

Step-by-step explanation:

25x^2-9y^2

=(5x)^2-(3y)^2

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

Answer:

=2(25×-9y) okay na po bayan

Answer:5.83

Step-by-step explanation:

Step-by-step explanation:

Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.

Sum of all interior angles of

N

-sided regular polygon equals to

(

N

−

2

)

⋅

180

o

.

Therefore, sum of interior angles of

12

-sided polygon is

(

12

−

2

)

⋅

180

o

=

1800

o

All 12 interior angles of dodecagon are equal, so each is

180-30

150

A supplementary exterior angle, therefore, equals to

180-150

=30

hopeit helps..

Answer

The measure of each exterior angle of a regular dodecagon is 30 degrees.

A regular dodecagon is a 12-sided regular polygon with each side equal.

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that measure of each angle of n-sided regular polygon can be found using

= 360/n

Upon substituting n = 12 in above formula, we will get:

= 360 / 12

= 30

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

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For `k = 1`, the given differential equation ` is satisfied. Given that we need to find a positive value of k for which `dy^2/dt^2 + y = 0`.

Given `y = cos(kt)`

The first derivative of y with respect to t is:`

dy/dt = - k sin(kt)

`The second derivative of y with respect to t is:

`d^2y/dt^2 = - k^2 cos(kt)`

Now, substituting these two values of dy/dt and d^2y/dt^2 in the given equation, we get:`

d^2y/dt^2 + y

= -k^2 cos(kt) + cos(kt)

= 0

`We can write the above equation as:`

(1 - k^2)cos(kt) = 0`

For the above equation to be true, we must have either

`(1 - k^2) = 0` or `cos(kt) = 0`

Hence, if `(1 - k^2) = 0`, then `k = 1`.

Therefore, the value of k for which `dy^2/dt^2 + y = 0` is true is `

k = 1`.

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Answer:

1 is B 2 is D

Step-by-step explanation:

5+3+2=10

but since you took a pink one out its now 9 you also need to subtract 1 from the 5 since you didn't replace it

so your chances of getting a pink one are 4/9