So then the LCD for ½ and 1/6 is​

Answer:

cos R is 44/55

sin S is 33 / 55

If the  height of the football could be described by the model: f(x) = -16x² + 64x , then the time at which the ball at its highest point after being kicked is t = 2 seconds .

In order to find time at which ball is at its highest point,

we have to find the time at which the derivative of height function is = 0.

the height function is ⇒ f(x) = -16x² + 64x ;

So , the derivative of the height function will be :

⇒  f'(x) = -32x + 64 ;

equating the derivative of height function to 0 , and solving for x ,

we get ;

⇒ -32x + 64 = 0

⇒ -32x = -64

⇒ x = 2

Therefore , the time at which the ball is at its highest point is 2 seconds .

The given question is incomplete , the complete question is

Justin punts a football. The height of the football could be described by the model: f(x) = -16x² + 64x. h describes the height of the ball in feet and the time in seconds after the ball was kicked.

At what time in seconds is the ball at its highest point after being kicked ?

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Answer:

AC²=AB²-BC²=13²-10²=169-100=69

AC=√69=~8.3

Step-by-step explanation:

reciproque de pytaghore to solve AC

The total cost of the shirts that have same cost when x=5 is,

c=70

A mathematical equation is a formula that joins two expressions and expresses their equivalence using the equals symbol (=). The definitions of the word equation and its cognates in different languages may differ slightly.

The entire cost is c

c = 40 + 6x

c = 20 + 10x

The quantity of shirts is x.

Via utilizing one of the equations to solve for one of the variables and then substituting that variable's value into the other equation, you can solve by substitution.

40+6x=20+10x

4x=20

x=5

You would solve for c in the first equation in this problem.

40+6x where x=5 then,

c=70

Since it has already been solved for c, all that is left to do is swap out c with its equivalent in the second equation.

20+10x where x=5 then,

c=70

Therefore, the total cost of the shirts that have same cost is c=70 when x=5.

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The total surface area of the pyramid is 52 square units

The formula for calculating the area of the triangular based pyramid is expressed as;

\(TSA=Base \ Area+\frac{1}{2}ps\) where;

p is the perimeter of the base

s is the slant height

Get the Base area

\(Base \ Area = \frac{1}{2}bh\\Base \ Area = \frac{1}{2}*6*\sqrt{5^2-3^2} \\ Base \ Area = \frac{1}{2}*6*\sqrt{25-9} \\ Base \ Area = \frac{1}{2}*6*\sqrt{16} \\ Base \ Area = \frac{1}{2}*6*4 \\ Base \ Area = \frac{24}{2} \\Base \ Area = 12 units^2\)

Get the perimeter

Perimeter = 5 + 5 + 6

Perimeter = 16 units

Slant height = 5units

Substitute the given values into the formula above as shown;

\(TSA=12+\frac{1}{2}*16*5\\TSA=12+(8*5)\\\\TSA = 12 + 40\\TSA = 52 units ^2\)

Hence the total surface area of the pyramid is 52 square units

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Answer:

52squnits

Step-by-step explanation:

The simplified expression for complex number  {(2+i)(4-2i)}/{1+i} is 5-5i.

To simplify the expression {(2+i)(4-2i)}/{1+i}, we can begin by multiplying the numerator and denominator by the conjugate of the denominator to eliminate the complex denominator.

The conjugate of 1+i is 1-i. Multiplying the numerator and denominator by 1-i, we have:

{(2+i)(4-2i)(1-i)}/{(1+i)(1-i)}

Expanding the numerator and denominator, we get:

[(2+i)(4-2i-4i+2i^2)] / [(1+i)(1-i)]

Simplifying further:

[(2+i)(4-6i+2i^2)] / [(1+i)(1-i)]

Now, we substitute the values of i^2, which is equal to -1:

[(2+i)(4-6i-2)] / [(1+i)(1-i)]

Simplifying the numerator:

[(2+i)(2-6i)] / [(1+i)(1-i)]

Expanding the numerator:

(4-12i+2i-6i^2) / (1-i^2)

Substituting i^2 as -1:

(4-10i+6) / (1-(-1))

Simplifying further:

(10-10i) / 2

Dividing both terms by 2:

5-5i

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Answer:

Step-by-step explanation:

15x +6y = 2 is equal to 0 because when we move the constant to the left and divide both sides of the equation by 3 we get:

Same with 7x +6y = -3, when we move the constant to the left and sum the two opposites equal to 0 it give us:

Answer:

x = 10.8

Step-by-step explanation:

9 ÷ x = x ÷ (9 + 4)

9 × (9 + 4) = x × x

9 × 13 = x²

117 = x²

x = 10.81665383

Answer:

a. 1/4

b. 150

Step-by-step explanation:

Firstly, we want to calculate the probability that the next value will be 4

The total number of rolls is;

17 + 24 + 23 + 10 + 16 + 30 = 120

The probability of having 4 will be;

10/120 = 1/12

b) Let us get the probability of rolling a six

That would

be 30/120 = 1/4

So out of 600 rolls, the number of time we will have a six will

be 1/4 * 600 = 150

Explanation

Step 1

divide both sides by square 14

then

I hope this helps you

Answer:

No

Step-by-step explanation:

Answer:165degrees

Step-by-step explanation

Use formula N-2 × 180 N is the number of sides

24-2=22

22x180=3960 total

for each angle divide total by 24=165 degrees

Answer:

y=v-''h=hndjudududjdjdjududududjd

Fourteen eleventh graders prefer math and eight tenth graders prefer English.

A survey is a study that seeks to gather information about people sometimes involving the preferences of the people.

From the table, we can see that fourteen eleventh graders prefer math and eight tenth graders prefer English.

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Answer:

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

\(D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right]\)

The determinant of the matrix is:

\(|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)\)

\(|D | = \cos^2\theta + \sin^2\theta\)

Using trigonometry ratio, we have:

\(|D | = 1\)

(b)

\(\left[\begin{array}{ccc}2&0\\0&2\end{array}\right]\)

The determinant of the matrix is:

\(|D| = 2 * 2 - 0 * 0\)

\(|D| = 4 - 0\)

\(|D| = 4\)

(c)

\(\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right]\)

The determinant of the matrix is:

\(|D| = 0 * 0 -(-i * i)\)

\(|D| = 0 +i^2\)

\(|D| = i^2\)

In complex numbers

\(i^2 = -1\)

So:

\(|D| = -1\)

So, the order of the determinants is: c, a, b

The new shape of the cube will have a decrease in volume, but surface area will be the same, and total length of edges will increase. Picture attached.

Volume: For the volume of the original cube, made up of 8 identical small cubes, If one of the small cubes is removed, the volume of the new shape will be smaller than the original cube since we are taking away a portion of it.

Surface Area: The surface area of the original cube is calculated by multiplying the area of one face by the number of faces (6). Removing one of the faces, the surface area of the new shape will still remain the same as the 3 outer faces removed will still be present is the in the new shape.

Total Length of Edges: The total length of edges in the original cube is given by 12 times the side length. When a small cube is removed, the new shape will have more edges than the original cube. Specifically, it will have 18 edges.

In all three cases, the removal of a small cube reduces the size and shape of the resulting object, resulting in a decrease in volume, but surface area will be the same, and total length of edges will increase

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The workers would need 3.71 weeks to repair the road.

A generalization of arithmetic in which letters representing numbers are combined using arithmetic rules

Given that the total length of the road is 13km. Workers can repair 3.50 roads per week.

To determine the number of weeks required to repair the road, divide the total by per week. The equation would be:

13 ÷ 3.5

= (13 x 10)/35

= 130/ 35

= 3.71

Therefore the workers would need 3.71 weeks to repair the road.

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Answer: A, C, F

1/4 of 12 is 3 so she walked a total of 15 miles

Circle all answers that equal 15 miles

The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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On solving the provided question we can say that the value of trigonometry value is - \((sin^2x - cos^2x )( 1- sin^2xcos^x)\\\)

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.

\(sin^6 x - cos^6x\\(sin^3x)^2 - (cos^3x)^2\\(sin x - cosx)(sinx + cosx)(1 + sinx cosx)(1 - sinx cosx)\\(sin^2x - cos^2x )( 1- sin^2xcos^x)\\\)

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Answer:

a = 15

b = 0

c = 9

Step-by-step explanation:

Given:

\(\displaystyle \large{15x^2+9}\)

To find:

Quadratic Expression:

\(\displaystyle \large{ax^2+bx+c}\)

Compare coefficients:

\(\displaystyle \large{ax^2+bx+c=15x^2+0x+9}\)

Therefore, compare like terms as we get:

Therefore, your answer is a = 15, b = 0, c = 9

That is one way to find out the answer

Answer:

Original = $200

Step-by-step explanation:

Original = x

Final = 172

Percent Decrease = 14%

Original = 100%

Final = 100% - 14%

172 = 86%

Solve:

172/86 * 100 = x

2 * 100 = 200

Original = 200

-Chetan K

$ 200 ( approximately )

Step-by-step explanation:

100% - 14% = 86%

100/86 × 172

The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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Answer: I think it's 9 days.

Step-by-step explanation:

The probability of rolling and odd number with both dice A and B is 1/4.

Probability simply means the likelihood that an event will occur on a scenario.

Since Dice A and dice B have ten sides,the numbers will be from 1 to 10. Therefore, there are 5 even numbers and 5 odd numbers.

Probability of odd number = 5/10 = 1/2

Probability of even number = 5/10 = 1/2

Probability of rolling both odd numbers will be:

= P(odd) × P(odd)

= 1/2 × 1/2

= 1/4

The probability is 1/4.

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The initial equation is:

So if we use the distribution propertie, we have to multiply the 4 for all term in the parenthesis so:

and then we simplify:

So is option D)