I need to find the surface area

Given:

The time required for a box to slide down an inclined plane is

[tex]T = \sqrt{\frac{2a}{g(sin\theta cos\theta)} }[/tex]

where,

g be the,acceleration due to gravity.

[tex]\theta[/tex] be the inclined plane.

To find the value of [tex]\theta[/tex] for which the given expression is undefined.

Now,

T will be undefined if the denominator is 0.

⇒ [tex]g(sin \theta cos \theta) = 0[/tex]

or, [tex]sin\theta cos\theta = 0[/tex] [ g ≠ 0 it is a constant]

either [tex]sin\theta = 0[/tex] or [tex]cos\theta = 0[/tex]

For, [tex]sin\theta = 0[/tex] ⇒ [tex]\theta = 0^\circ[/tex]

Again,

For, [tex]cos\theta = 0[/tex] ⇒ [tex]\theta = 90^\circ[/tex]

Hence,

The expression will be undefined for the value of 0° and 90° of θ.

Option C.

Option(C). In the formula √(2a/g•sin(theta)•cos(theta)), the expression is undefined when theta=0° or 90°, since in these cases, sin(theta) or cos(theta) equal to zero respectively.

Consider the formula √(2a/g•sin(theta)•cos(theta)).

The expression in the root (√) is undefined when we divide by zero. Looking at the formula, we divide by the product of sin(theta) and cos(theta). For the expression to be undefined, one or both must be zero.

The values of theta that would cause this to happen are when theta=0°, sin(theta)=0 and when theta=90°, cos(theta)=0.

Therefore, the expression is undefined when theta is either 0° or 90°.

So, the answer is C. Both A and B.

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Answer:

centered at (5,-3)

radius of 14 units

Step-by-step explanation:

A linear transformation will be the opposite of what contained in the parentheses( (x-5)^2 will be a regular line x but +5 units along the axis.

Therefore the variables contained in the parentheses will then correspond to the transformation, so it will be shifted +5 units along the x and -3 units along the y.

The radius is simply the answer square rooted which is 14 units in this case.

Answer:

x=7

y=8

Step-by-step explanation:

-Given that the mean and median is the same.

-Let b=mean =median

#Given that the set is arranged in order and is even:

[tex]median=\frac{n+1}{2}\\\\Median=3^{rd} \ term\\\\=x[/tex]

Hence:

[tex]b=median=mean\\\\b=x\\\\\therefore mean=median=x[/tex]

-Applying the mean formula:

[tex]\bar x=\frac{1}{n}\sum{x_i}\\\\\therefore 5x=4+6+x+y+10\\\\4x=20+y\\\\x=5+0.25y[/tex]

#Since the number are in order:

[tex]6<x<y<10\\\\\#let\ x=7,y=8\\\#Substitute\\\\7=5+0.25(8)\\7=7\\\\[/tex]

Hence, x=7 and y=8

Answer:

1

Step-by-step explanation:

Final answer:

To determine the number of problems the student answered correctly, calculate 75% of 20. The student correctly answered 15 out of 20 problems on the math test.

Explanation:

A student earned a grade of 75% on a math test that had 20 problems.

To find out how many problems the student answered correctly, we can simply calculate 75% of 20.

Step 1: Convert the percentage to a decimal: 75% = 0.75

Step 2: Multiply the decimal by the total number of problems: 0.75 × 20 = 15

Therefore, the student answered 15 problems correctly on the math test.

Answer:

star a; 5.7 units

Step-by-step explanation:

Answer: 121/1024

Step-by-step explanation:

If 5 burglaries were reported in 2003,

16 in 2004, this means that were addition of more (16 - 5) = 11

and 32 in 2005

Total outcome will be 32 windows

 The probability that both will have occurred in 2004 will be

11/ 32 × 11/32 = 121/1024

The probability that both will have occurred in 2004 is 121/1024

Given that:

In 2003, 5 burglaries were reported

16 in 2004

Hence, the total outcome is 32

The probability that both will have occurred in 2004 will be

[tex]11/ 32 * 11/32 \\= 121/1024[/tex]

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Answer:

35 People

Step-by-step explanation:

From the given information

Let the number of people attending the banquet=x

Therefore:

Cost of Hall Rental + Total Meal Cost = Total Bill

125+12x=545

12x=545-125

12x=420

x=420/12=35

Since x=35, we conclude that 35 People attended the banquet.

Answer:

64, 81, 100, 121 there are 4

Step-by-step explanation:

Answer:

heyyy there

Step-by-step explanation:64, 81, 100, 121, are the perfect square numbers between 50 and 140..

64=8*8

81=9*9

100=10*10

121=11*11

................12 *12 bcoms 144 so its not between 144

hope it helps

It takes (C) 11.2 grams of salt to raise the boiling point of water by one degree Celsius.

Let's examine the data provided:

We can observe the following pattern:

To find out how much salt is needed to raise the boiling point by exactly one degree Celsius, we look at Solution 3 compared to Solution 1:

Thus, 11.2 g of salt is needed to raise the boiling point of water by one degree Celsius.

The experimental probability of rolling a given result can be calculated by dividing the frequency of that outcome by the total number of trials.

The experimental probability of rolling a given result can be calculated by dividing the frequency of that outcome by the total number of trials. In this case, the outcome with a frequency of 20 occurred 200 times, so the experimental probability of rolling that result is 20/200 = 0.10 or 10%.

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Answer:

False

Step-by-step explanation:

Correct statement would be:

A tangent line is a line that insersects a circle at exactly one point.

Step-by-step explanation:

Your mistake is here: cos(-45°) = +½√2, not -½√2.

±√((1 + ½√2) / 2)

= ±√((2 + √2) / 4)

Final answer:

The amplitude of a wave is its maximum displacement from equilibrium and can be directly read from the equation as A, while the period is the time for one complete cycle, inversely related to frequency as T = 1/f. Given a frequency of 2.0 MHz, the period is 5.0 x 10⁻⁷ seconds, with the amplitude being 30 V/m.

Explanation:

The period and amplitude of a sinusoidal function can be determined from its formula or graph. For example, in the given context, if we are presented with a wave with an amplitude of 30 V/m and a frequency of 2.0 MHz, we can calculate the period. We know that the period (T) of a wave is the inverse of the frequency (f), so T = 1/f. Given the frequency of 2.0 MHz, or 2.0 x 106 Hz, the period T is 5.0 x 10-7 seconds (since 1 Hz = 1/s). The amplitude is the maximum displacement from the equilibrium position, in this case, 30 V/m. The amplitude is typically denoted by A in the wave equation y(x, t) = A sin(kx - wt + p), and the period can be derived from the angular frequency with T = 2π/ω.

For a physical representation, observing a wave plotted on a graph such as in Figure 24.8(b) or a given wave function, the amplitude is seen as the distance from the equilibrium position (center line) to the peak, and the period is the time it takes for one complete cycle of the wave. Understanding these concepts is crucial for analyzing waves whether in physics or mathematics.

Answer:

B. $0.72

Step-by-step explanation:

Here is the stock listing for Enam Telecom

52 wk high is 122.86

52 wk low is 64.77

Div. is 3.45

Close is 99.14

Net change is 4.74

From the question the lowest price which was 64.77 was 48 days ago.

therefore net change in value is:

Close - lowest price:

99.14 - 64.77 = 34.37

Since change is in 48 days,

the average change per day is:

Total change / number of days = 34.37/48 = 0.716

This answer is approximately 0.72

Therefore average change per day is 0.72

Answer:

B

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3x =12 whn x=4

[tex]x_0=\dfrac{-b}{2a} =\dfrac{-4}{2\times(-2)}=1\\y_0=-2\times1^2+4\times1+1=-2+4+1=3\\Answer: The\: vertex\: is \:(1;3). It's\:maximum\:point \:because \:a=-2<0[/tex]

Answer:

C ( 6 units

Step-by-step explanation:

just took the quiz

Answer:

B is the correct answer

Step-by-step explanation:

A. is wrong because 3/8 would shrink the circle, not expand it.

B. is correct because 8/3 means the circle will expand, not shrink.

C. is wrong because those coordinates only reposition and move the circle, not dilate.

D. is wrong because those coordinates only reposition and move the circle, not dilate.

Answer:

[tex]x-8[/tex],  smaller integer is 8.

Step-by-step explanation:

Given:

The product of two consecutive integers is 72.

The equation x(x+1)=72 represents the situation, where x represents the smaller integer.

Question asked:

Which equation can be factored and solved for the smaller integer ?

Solution:

[tex]x(x+1)=72\\\\ x^{2} +x=72\\ \\ By\ subtracting\ both\ sides\ by\ 72\\ \\ x^{2} +x-72=72-72\\ \\ x^{2} +x-72=0\\ \\ x^{2} +9x-8x-72=0\\ \\ Taking\ x+9\ as\ common \\ \\ x(x+9)-8(x+9)=0\\ \\ x+9=0,x-8=0\\ \\ x=-9,x=8[/tex]

[tex]x-8[/tex]  can be factored and solved for the smaller integer, and that is 8.

Two consecutive integers are 8 and  9 and their product is 8 [tex]\times[/tex] 9 = 72

Answer:

Distributive property in multiplication

a) 4.(20+8) = 4.20 + 4.8

Commutative law property in multiplication

b) (28) 4 = 4(28)

Step-by-step explanation:

Explanation:-

Distributive property in multiplication.

Let a ,b ,c are three numbers

a.(b + c) = a. b + a. c

Given problem 4(28) = 4(20+8)

4.(20+8) = 4.20 + 4.8

              = 80+32

             = 112

Commutative law property in addition

a + b =b + a

20 + 8 = 8 + 20

Commutative law property in multiplication

ab = b a

(28) 4 = 4(28)

Commutative law property in multiplication

let a, b and c are three numbers

a(bc) = (ab)c

4×(7×4) = (4×7)×4

This wasn't the right tab sorry

Answer:

$18.90

Step-by-step explanation:

Lets break this question down into smaller sections to make it easier:

There are 3 bottles

Each bottle can hold 0.75 liters

For every 25 milliliters she pays $0.21

With that information in mind, we notice that we need to convert liters to milliliters in order to get an accurate answer.

For every 1 liter = 1000 milliliters

So, we need to take 0.75 * 1000 = 750 milliliters per bottle

Next, we take 750 milliliters / 25 milliliters to find how many times we have to fill one bottle

Each bottle will take 30 times of 25 milliliters to fill the whole bottle

Now take 30 * $0.21 to find the cost of one bottle

One bottle = $6.30 to fill

Take $6.30 * 3 to find the total cost to fill ALL the bottles.

For a final result, we get $18.90 to fill all three bottles completely

Hope this Helps!

Answer:

it's 18.90

Step-by-step explanation

my friend told me it was 5.67 and for some reason i believed her but no i took the test and it's 18.90

Answer is: 16x8 = 128

Answer:

the the scale of the drawing is 1/4

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

As we know that, the formula to find the are of a triangle is:

A = 1/2 b*h where:

From the photo, we can see that, the height is 3 units and the base is 6 units. So the area of the shaded triangle is:

A = 1/2 6*3 = 9 square units

Given that the triangle depicted by the drawing has an actual area of 36 square units. So the the scale of the drawing is:

area of the shaded triangle / the actual area

9 /36 = 1/4

Hope it will find you well.

Answer:

DEFCON= MEANS DEFense readiness CONdition

Step-by-step explanation:

HI THERE: IT IS AN CALL OF ALERT STATE OF EMERGENCY WHICH IS SOMETIMES USED BY THE USAF (UNITED STATES AIR FORCE)

For part A, the student has 13 colleges to choose from that are not expensive and near home. For part B, the total possible selections of two colleges is 156, considering the student won't attend the same college before and after the transfer.

The subject of this question pertains to probability and set theory, a branch of mathematics. We use the principle of inclusion and exclusion to solve the problem.

For part A. there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are far from home which means 24 - 8 = 16 are near. But remember, there are 5 colleges that are both expensive and far, hence these 5 colleges got subtracted twice. So, we need to add them back. The number of colleges that are not expensive and near home are 16 + 16 + 5 = 37. However, this goes beyond the total number of colleges, so we subtract 24 from it to get the correct count of 13.

For part B, the number of ways before transferring are the same as in part A, 13. The number of ways after transferring, there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are near which means 24 - 8 = 16 are far. Adding the count of not expensive and far gets us 16 + 16 = 32. Subtract the total number of colleges to get the correct figure 32 - 24 = 8. Nothing the student can't attend the same college before and after the transfer, so the count of total selections is 13 choices for the first selection multiplied by 12 choices for the second selection, getting us a total of 156 possible selections.

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Answer:

Step-by-step explanation:

The alternate hypothesis use the sumbol for the population value

Let p be the proportion , Mean be [tex]\mu[/tex] and stadard deviation be [tex]\sigma[/tex]

The null hypothesis states that population value is equal to the value mentioned in the given claim.

[tex]H_0:\mu=18[/tex] (by given).

The alternate hypothesis for the significance test states that the opposite of the null hypothesis(based on the claim )

∴ [tex]H_a:\mu<18[/tex]

The symbol "<" because we want to test if the maze is completed faster and thus if the time has decreased.