me need help on math

99 boys and 1 girl makes 99 percent of boys. To make it 98%, 50 boys must leave the theatre, so there are 49 boys and 1 girl, making 98% of boys.

2cos(2x/3+pi/4)-square2=0

cos(2x/3+pi/4)=radical2/2

cos(2x/3+Pi/4)=cos pi/4

2x/3+pi/4=pi/4+k2pi or 2x/3+pi/4 =-pi/4+

k2pi X=K3pi or x=-3pi/4 + k3pi

The gradient of the line perpendicular to line B is 1/3.

Perpendicular lines are two lines that traverse one other and construct a 90-degree angle. The product of the gradients of two perpendicular lines is always -1.

Since the two lines are perpendicular, the product of their gradients must be -1.

So, if the gradient of the first line is m, the gradient of the second line must be -1/m.

For the gradient of the line perpendicular to line B, we need to take the negative reciprocal of the gradient of line B.

The negative reciprocal of -3 is 1/3, so the gradient of the line perpendicular to line B is 1/3.

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Answer:

Step-by-step explanation:

Sum of interior angles of n-sided polygon is:

Substitute n with 24:

Find measure of one interior angle:

Correct choice is a.

Answer: The answer is 165

Step-by-step explanation:

The number of triangles is 2 less than the number of sides.

The number of triangles multiplied by 180 equals the sum of the interior angles. This makes sense because each triangle has an angle sum of 180.

24-2 equals 22 times 180 equals 3,960 but were trying to find one angle so you would  do 3,960 divided by 24 to get 165.

I also got it right on my test if you needed more conformation:)

Answer:100

Step-by-step explanation:

The question confuses you since there is no extra variable to help you which is you have to create it yourself.

Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:

\(y=-x-30+180\) which then becomes \(y = -x+150\).

Also since the inside sum of angles in a traingle is equal to 180°, this can be written as

\(180 = (x-40) +(x-30)+y\)

if we replace y with the equation we get

\(180=(x-40)+(x-30) + (-x+150)\)

which can be simplified to

\(180=x+80\) because 2x-x = x and -70+150 = 80

If we rearrange to solve for x, we get:

\(x = 180-80\) ⇒ \(x=100\)

We can verify this by putting the value of x in both equation:

\(y = -100+150 = 50\) angle at k

\(100-40=60\) angle at j

\(100-30=70\) angle at l

\(50+60+70=180\) this match the rules of the sum of interior angle always equal 180°

Answer:

x = ± 8

Step-by-step explanation:

\(\dfrac{1}{2}x^{2}=32\)

Multiply the equation by 2

x² = 32*2

x² = 64 = 8²

x = 8

The correct option d.) 0.033 , is the standard error for the given sample distribution.

For the stated question-

Sukie told us that after speaking with 125 workers at her company, she learned that 21 of them intended to take a long vacation the following year.

Let P represent the percentage of workers who intend to take a long vacation in 2019.

p = X/n

p = 21/125 = 0.168

Her company employs 125 people, hence n = 125.

Now, the following formula is used to determine the standard error:

SE = √p(1 - p)/ n

SE = √0.168(1 - 0.168)/125

SE = 0.033

Thus, the value of the standard error for the given sample distribution is found as 0.033.

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Answer:

4(5+8)

Step-by-step explanation:

The GCF of 20 and 32 is 4. Then you divide 20 and 34 by 4.

Part II: Value of x=0

Part III: the lengths of the sides of EFG as EF = G = 11 and EG = -11.

Part IV: the lengths of the sides of ABC as AB = -9, GF = -1, and AC = 4.

Value can be used to find the solution to an equation or to compare two or more values.

Part II: To find the value of x, we need to use measures for AC and EG. We can use the equation AC = 2x + 4 to solve for x.

We can rearrange the equation to 2x = AC - 4, and then substitute in the value of AC, which is 2x + 4.

This gives us 2x = 2x + 4 - 4, or 0 = 0

x = 0.

Part III: To find the lengths of the sides of EFG, we can use the equation EF = G + 7x - 11.

Substituting in the value of x, which is 0, we get

EF = G + 7 * 0 - 11,

or EF = G - 11.

Since EG = 7x - 11, substituting in the value of x gives us

EG = 7 * 0 - 11,

or EG = -11.

So EF = G and EG = -11

Part IV: To find the lengths of the sides of ABC, we can use the equation AB = 5x - 9, substituting in the value of x as 0.

This gives us AB = 5 * 0 - 9,

or AB = -9.

Since GF = 3x - 1 and AC = 2x + 4, substituting in the value of x gives us GF = 3 * 0 - 1,

or GF = -1,

and AC = 2 * 0 + 4

or AC = 4.

So AB = -9, GF = -1, and AC = 4, giving us the lengths of the sides of ABC as AB = -9, GF = -1, and AC = 4.

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Answer:

63

Step-by-step explanation:

The missing value in the estimation given is 800.

The practice of estimating, approaching, or rounding off figures is done when the value will be used for something else rather than a sophisticated computation is referred to as Estimation.

In the given case, the missing value needs to find where the LHS = RHS as the equals to sign is denoted between both the equation.

In the given case the LHS amount is

\(=345+760\)

\(=1105\)

The value of the RHS amount is missing as 300 + "?", according to LHS = RHS the total of LHS 1105 is subtracted from the available value of 300 and we got to round it down.

So to calculate the missing value

\(\sf = 1105-300\)

\(\sf = 805\thickapprox800\)

Therefore, The missing value is 805. So the missing value in the estimation below is written as 345 + 760 ≈ 300 + 800.

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Answer:

  800

Step-by-step explanation:

You want the missing value in the estimation ...

  345 +760 ≈ 300 +___

Estimation is often performed by rounding numbers to 1 or 2 significant figures. The problem statement shows the number 345 has been rounded to 300, one significant digit.

Rounding the number 760 to one significant digit, it becomes 800.

Then the estimate of the sum becomes ...

  345 +760 ≈ 300 + 800

The missing value is 800.

__

Additional comment

The estimate of the sum is 300 +800 = 1100. The actual sum is 345 +760 = 1105.

<95141404393>

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90 and 180.

A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

The factors of 180 are integers that divide 180 without leaving any remainder, or in other words, the factors of 180 are divisors of 180.

For example, 90 is a factor of 180 because when we divide 180 by 90, it gives us 2 as the quotient and 0 as the remainder. The quotient 2 is also a factor of 180.

So, to check if any number is a factor of 180, divide 180 by that number and check if the remainder is zero or not.

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Answer:

  c:  8,20,25

Step-by-step explanation:

You want to know which set of side lengths can form a triangle from the sets ...

A set of lengths can form a triangle if and only if the sum of the shorter two exceeds the longest.

In sets a, b, d, the sum of the shorter two is equal to the longest. These lengths will form a line segment, not a triangle.

A triangle can be formed by ...

  c: 8,20,25 . . . . . . 8+20=28 > 25

<95141404393>

Answer:

cube

Step-by-step explanation:

When something is a cube, it is a number to the third power or a number with a little 3 above it

To determine the sample size required to estimate the proportion of registered voters who would vote for the Republican candidate with a margin of error of 0.01 and a 95% confidence level, we can use the formula: n = (z-crit)^2 * p * (1-p) / (E)^2

where:

- n is the required sample size

- z-crit is the critical value corresponding to the desired confidence level (95% confidence level corresponds to z-crit = 1.96)

- p is the estimated proportion from the initial sample (640/1200 = 0.5333)

- E is the margin of error (0.01)

Plugging in the values, we have:

n = (1.96)^2 * 0.5333 * (1-0.5333) / (0.01)^2 Simplifying the expression will give us the required sample size (n) needed to estimate the proportion with the desired margin of error and confidence level.

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The given system of equations do not have a solution since their related line equations have the same slope.

The given system of equations is:

-x + 5y = 3   .......... (1)

2x - 10y = 4   ........(2)

In Equation (1), add both sides by (-5y)

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

-x = -3 - 5y

Multiply by (-1)

x = 3 + 5y

Substitute x = 3 + 5y into equation (2)

2x - 10y = 4

2.(3 + 5y) - 10y = 4

6 + 10y - 10y = 4

6 = 4 (False)

Since the last equation is false, we might suspect that the given system of solution does not have solutions.

We need to check the slope of both equations:

-x + 5y = 3

⇒ 5y = x + 3

⇒ y = 1/5 x + 3/5

2x - 10y = 4

⇒ -10 y = -2x + 4

⇒ y = (2/10) x - 4/10

⇒ y = 1/5 x - 2/5

We can see that both equations have the same slope, i.e. 1/5.

Hence, they do not have solutions since the lines are parallel to each other.

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Answer:

Malia would have $5.30 left

Step-by-step explanation:

2.35 x 2 = 4.70

10.00 - 4.70 = 5.30

Answer:

5.93

Step-by-step explanation: hopeed i helped

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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The lengths of the sides of a triangle are as follows:

base(b) = 2R and height(h) = R

With one of the triangle's vertices in the circle's centre and the other two on the circumference, we must determine the lengths of the sides of the triangle with the largest possible area that can be drawn within.

Let,

b = base of triangle

h = height of triangle

R = Radius of circle

Area of triangle = bh/2

The area of a triangle is bh/2, but since b/2 is shared by a triangle, the maximum area is constrained by the height h.

This would be the perpendicular height to the base, which is the radius R

The base is two radii b=2R and height is h= R

Therefore, the lengths of the sides of a triangle are as follows:

base(b) = 2R and height(h) = R

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Option D : A quadrilateral can be drawn with three sides measuring 5 cm and angles of 100° and 110° between them, with the length of the fourth side being approximately 8.24 cm according to the law of cosines.

To find the length of the fourth side of quadrilateral, we need to use the law of cosines. Let's call the angle between the first and fourth sides θ. Then:

cos(θ) =\((5^2 + 5^2 - x^2) / (2 * 5 * 5)\)

cos(θ) = \((50 - x^2) / 50\)

θ = \(cos^-1((50 - x^2) / 50)\)

We know that the angle between the second and third sides is 70° (180° - 100° - 110°), so the angle between the first and fourth sides is 180° - 70° = 110°.

Using the formula above, we can solve for x:

cos(110°) = \((50 - x^2) / 50\)

-0.342 = \((50 - x^2) / 50\)

-17.1 = 50 - \(x^2\)

\(x^2\) = 67.9

x = 8.24

Therefore, the length of the fourth side is approximately 8.24 cm, which is closest to option D, 8 cm.

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Use a protractor to draw a quadrilateral so that three of its four sides measure 5 centimeters each. The angles between these sides have measures of 100° and 110°.

What is the length of the fourth side?

Responses

A. 5 cm

B. 6.5 cm

C. 7.5 cm

D. 8 cm

Answer to 1:

\(\frac{x^3}{2y^25}\)

First thing you want to do is combine like terms on the bottom. Since it's multiplication, all you have to do is add the exponents. So for x you'd get x raised to the -9 power and for y you'd get 2y raised to the power of 7

Second thing is the numerator of the fraction. Since this is raising what is inside the paranthesis to a power, you must multiply this power by the powers of x and y, respectively. You should get x raised to the power of -6 and y raised to the power of -18

Here's where it gets complicated. to rationalize the problem, you must add parts from the numerator and denominator or vice versa. You cannot have any negative exponents anywhere in the fraction.  So that means for x you have to add 9 to the x on the top to cancel out the -6 and rationalize the remaining x's. You should end up with x^3.

For y, you work the opposite way. Since the negatives are only on the top, you simply add 18 to the bottom y's and it remains rationalized.

If done correctly this should come out to x^3/2y^25

Answer to 2:

(x^20y^12)/256

First thing you can do on this one is to cancel out the x^0s. Anything to the power of 0 equals one so only the coefficients will remain. Multiply those together and you'll get 4.

Next you will rationalize the ys. Add the bottom 3 to the top to cancel out the denominator and you're left with y^-3. Leave it like this for now.

Now is the difficult part. You must take everything that is inside the parenthesis to the power of -4. That includes the coefficients and the exponents. 4^-4 = 1/256. This means that you now must move the coefficients to the bottom. You should currently have y^-3/(256x^5).

Now take the exponents to the power using the same rules as question 1. -3*-4 = 12 and 5*-4 = -20. You should now have y^12/(256x^-20)

Lastly, we must rationalize the denominator. To do so, move the x^-20 to the numerator and make the exponent positive. After doing this, you have the answer: (x^20y^12)/256

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer:

4/13

Step-by-step explanation:

We can first find the GCD or GCF of 28 and 91. 91 in its simplest form is 13*7. 28 in its simplest form is 2*2*7. The only common factor they have is 7, so 7 is the GCD. We can divide both by 7 to get \(\frac{4}{13}\)

Answer:

you got to subtract 4 from 1

The number of people who will purchase only a car is 28.

To find the number of people who will purchase only a car, we need to subtract the number of people who will purchase both a major appliance and a car from the total number of people who indicated they would buy a car.

Let's denote:

A = Number of people buying a major appliance (156)

C = Number of people buying a car (37)

B = Number of people buying both a major appliance and a car (9)

To find the number of people buying only a car, we subtract the number of people buying both from the total number of people buying a car:

Number of people buying only a car = C - B

Plugging in the values:

Number of people buying only a car = 37 - 9 = 28

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The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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The remote interior angles of ∠1 are ∠2 and ∠6.

Corresponding angles in a triangle are those angles which are contained by a congruent pair of sides of two similar (or congruent) triangles.

The remote interior angles of ∠1 is determined by applying the principle of corresponding angles as shown below;

∠1 = ∠2 ( vertical opposite angles are equal )

∠1 = 180 - ∠5 ( corresponding angles  are equal )

180 - ∠5  = ∠ 6 ( vertical opposite angles are equal )

So we can conclude that, ∠1 = ∠6.

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Answer:

13,811 + 5 = 13816

13816 / 11 = 1,256

The number to add is 5

Step-by-step explanation: