Triangle ABC is isosceles with AB = AC.
Angle BAC = 110° and the area of the triangle is 85cm^2
Calculate AC.

Answer:

140

Step-by-step explanation:

20.82 = 21 when rounded to the nearest whole number

6.94 = 7

21*7 = 147

The best estimate is 140

Answer:

f ( x ) = -3*cos ( x ) -2                    

Step-by-step explanation:

Solution:-

The standard generalized cosine function is given in the form:

                             f ( x ) = a* cos ( w*x - k ) + b

Where,

                   a: The magnitude of the waveform

                   w: the frequency of the waveform

                   k: The phase difference of the waveform

                   b: The vertical offset of central axis from the origin

To determine the amplitude ( a ) of the waveform. We will first determine the central axis of the waveform. This can be determined by averaging the maximum and minimum values attained. So from graph:

                   Maximum: 1

                   Minimum: -5

The average would be:

                  Central axis ( y ) = [ 1 - 5 ] / 2

                                              = -4 / 2

                                         y   = -2

The amplitude ( a ) is the difference between either the maximum value and the central axis or minimum value and the central axis. Hence,

                   a = Maximum -  Central value

                   a = 1 - (-2)

                   a = 3  

The waveform is inverted for all values of ( x ). That means the direction of amplitude is governed to the mirror image about x-axis. Hence, a = -3 not +3.

The offset of central axis from the x - axis ( y = 0 ) is denoted by the value of ( b ).

                   b = ( y = -2 ) - ( y = 0 )

                   b = -2   ... Answer

The frequency of the waveform ( w ) is given as the number of cycles completed by the waveform. The peak-peak distance over the domain of [ 0, 2π ]. We see from the graph is that two consecutive peaks are 2π distance apart. This means the number of cycles in the domain  [ 0, 2π ] are w = 1.

The phase difference ( k ) is determined by the amount of "lag" or "lead" in the waveform. This can be determined from the x-distance between x point value of peak and the origin value ( x = 0 ). The peak and the origin coincides with one another. Hence, there is no lag of lead in the waveform. Hence, k = 0.

The waveform can be written as:

                      f ( x ) = -3*cos ( x ) -2                    

Answer:

10 cookies

Step-by-step explanation:

10 x 3 = 30

15 x 2 = 30

30 + 30 = $60

The number of cookies sold by Linda will be 10 cookies.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Linda sells cookies for $2 and hamburgers for $3. She sold 25 items and made $60.

The number of cookies sold by Linda will be calculated as below:-

10 x 3 = 30

15 x 2 = 30

30 + 30 = $60

Therefore, the number of cookies sold by Linda will be 10 cookies.

To know more about Expression follow

brainly.com/question/723406

#SPJ5

answer

-6r+-11=-37

-6r=-37+11

-6r=-48

r=8

Answer:

3.90%

Step-by-step explanation:

Relevant Data provided as per the question below:

Annual dividend = $0.28 and $0.16

Current per share = $11.27

According to the given situation, the calculation of the current yield of the stock is shown below:-

Current yield is

[tex]= \frac{Annual\ dividend}{Current\ share\ price} \times 100\\\\ = \frac{0.28 + 0.16}{11.27} \times 100[/tex]

[tex]= \frac{0.44}{11.27} \times 100[/tex]

= 3.90%

Therefore for computing the current yield of the stock we simply applied the above formula.

Answer:

y is x because if x+y is 2x then y must equal x

The sum of x and y is twice x. Then the value of y will be equal to x.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that sum of x and y is twice x. Then the value of y will be calculated as below:-

x + y = 2x

y = 2x - x

y = x

Therefore, the sum of x and y is twice x. Then the value of y will be equal to x.

To know more about expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

20=6?

Step-by-step explanation:

14-2+8=2*3

14-2+8=6

12+8=6

20=6?

Answer:

These to equations aren't equivalent.

Step-by-step explanation:

14-2+8=2*3

12+8=6

20=6

Hope this helps ;) ❤❤❤

Answer:

350 meters cubed.

Step-by-step explanation:

If you visualize it, there are two rectangular prisms: one flat one on the top, and one large one on the bottom.

The width of the top one is 5 meters. The length is 7 meters. The height is 8 - 5 = 3 meters. So, one prism has a volume of 5m x 7m x 3m.

The width of the bottom one is 7 meters. The length is 7 meters. The height is 5 meters. So, the bottom prism has a volume of 7m x 7m x 5m.

(5 * 7 * 3) + (7 * 7 * 5)

= (35 * 3) + (49 * 5)

= 105 + 245

= 350

So, the volume of the figure is 350 meters cubed.

Hope this helps!

Answer:

Step-by-step explanation:

Please check ones more because this might be incorrect.

The area is in square meters...Let's change it

Square 48= 48*48 =2304

2304 divided by 4( 4 since the formula for the area of a sqaure is s*s and square has 4 sides)

2304 divided by 4 = 576

The formula for area of a square is S*S(side times side)

Let's apply the formula here.

so, 576 times 576

331776 square meters

Hope this is right and helps! :)

( This just my point of view. Please check this onces again)

Answer:

the answer is 64

Step-by-step explanation:

khan

Answer:

One solution

Step-by-step explanation:

Answer:

The correct answer is A.) one

Step-by-step explanation:

I just did the test on edge 2021 and got it right!

Answer:

Hey there!

We have the slope is equal to -2.5, and the y intercept  is 3.

Thus, the equation is y=-2.5x+3

Hope this helps :)

Answer:

Step-by-step explanation:

i cant see answers help my insta is 813.caden

Answer:

y+1=4(x-2)

y=4x+11

8x-2y+6

Step-by-step explanation:

Answer:

2(a - 3). = 4

_______

3

Cross multiply.

2(a- 3) = 12

2a - 6 = 12

2a = 12 + 6

2a = 18

a = 18 ÷ 2

a = 9

Answer:

a = 9

Step-by-step explanation:

Given

[tex]\frac{2(a-3)}{3}[/tex] = 4 ( multiply both sides by 3 to clear the fraction

2(a - 3) = 12 ( divide both sides by 2 )

a - 3 = 6 ( add 3 to both sides )

a = 9

As a check substitute a = 9 into the left side of the equation and if equal to the right side then it is the solution.

[tex]\frac{2(9-3)}{3}[/tex] = [tex]\frac{2(6)}{3}[/tex] = [tex]\frac{12}{3}[/tex] = 4 = right side

Thus solution is a = 9

Answer:

Subtract [tex]3\frac{1}{5}[/tex] from both sides.

Step-by-step explanation:

We want to isolate the variable [tex]n[/tex]. To do this, we have to get rid of [tex]3\frac{1}{5}[/tex], which we can do by subtracting itself, since it equals 0.

[tex]3\frac{1}{5} + n =9[/tex]

[tex]n = 5\frac{4}{5}[/tex]

Answer:

ITS A

Step-by-step explanation:

Step-by-step explanation:

Total=44,064

Host countries= 2

2nd most popular country= x

Popular country=x+8382

x+x+8,382=44,064

2x=44,064-8,382=35,682

2x=35,682

x=17,842

2nd most popular=17,842

Popular=17,842+8,382=26,224

Answer=26,224

There were students who studied abroad in the most popular host country by forming the equation is 26,224

How equations are formed?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

Here, It is given:

Total number of students = 44,064

Number of Host countries= 2

Let the 2nd most popular country= x

So, the Popular country becomes x+8382

Now, According to the question:

⇒x+x+8,382=44,064

⇒2x=44,064-8,382=35,682

⇒2x=35,682

⇒x=17,842

Hence, The number of students in 2nd most popular country=17,842

And, The number of students in a popular country

= 17,842+8,382=26,224

To learn more about forming equations, visit:

https://brainly.in/question/29041303

#SPJ2

Answer:

100 students on each bus

Step-by-step explanation:

100*4 is 400 so there might be just 4

Answer:

Hey there!

It's possible that there are 200 busses, and each  bus carries only 2 people, there are 10 busses and each bus carries 40 people, or there are 5 busses and each bus carries 80 people.

Hope this helps :)

Answer: l = 60 ft and w = 30 ft

P = 2(l + w)

180 = 2(l + w)

Let x = width of his yard

Let 2x = length of his yard

[tex]180=2(2x+x)[/tex]

[tex]\frac{180}{2}=\frac{2(2x+x)}{2}[/tex]

[tex]90=3x[/tex]

[tex]\frac{90}{3} =\frac{3x}{3}[/tex]

[tex]x=30ft[/tex]

l = 2x = 30(2) = 60 ft

Check:

180 = 2(l + w)

180 = 2(60 + 30)

180 = 2(90)

180 = 180

LS = RS

Answer:

21

Step-by-step explanation:

This is an arithmetic sequence with a₁ (first term) = 10.5 and d (common difference) = 11 - 10.5 = 0.5

Explicit formula for arithmetic sequences: aₙ = a₁ + (n - 1) * d

Therefore, aₙ = 10.5 + (n - 1) * 0.5 = 0.5n + 10 so a₂₂ = 0.5 * 22 + 10 = 21.

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

1.) 10.5

2.) 11

3.) 11.5

4.) 12

5.) 12.5

6.) 13

7.) 13.5

8.) 14

9.) 14.5

10.) 15

11.) 15.5

12.) 16

13.) 16.5

14.) 17

15.) 17.5

16.) 18

17.) 18.5

18.) 19

19.) 19.5

20.) 20

21.) 20.5

22.) 21

Hope this helped!!  ٩(◕‿◕｡)۶

Answer:

[tex] \frac{5x + 11}{3(x + 8)} [/tex]

Step-by-step explanation:

[tex] \frac{5x + 11}{3(x + 8)} [/tex]

Five times the sum of a number and eleven, divided by three times the sum of the number and eight

Five times the sum= 5(_+_)

a number and eleven= x+11

divided= ÷ or /

3 times the sum of= 3(_+_)

the number and eight.

Together it will be

[tex]the \: \: one \: written \: in \: the \: answering \: section[/tex]

Hope this helps ;) ❤❤❤

Answer:

Option D.

Step-by-step explanation:

The given points are (-2,0), (0,1), (0,-4) and (3,0).

In each ordered pair first element is x-coordinate and second is y-coordinate.

For 4 points, the table must have 2 columns and 4 rows.

So, the required table of values is

x         y

-2        0

0       -4

0        1

3        0

Therefore, the correct option is D.

Answer:

a = 11.71 ; b = 15.56

Step-by-step explanation:

For this problem, we need two things.  The law of sines, and the sum of the interior angles of a triangle.

The law of sines is simply:

sin(A)/a = sin(B)/b = sin(C)/c

And the sum of interior angles of a triangle is 180.

45 + 110 + <C = 180

<C = 25

We can find the sides by simply applying the law of sines.

length b

7/sin(25) = b/sin(110)

b = 7sin(110)/sin(25)

b = 15.56

length a

7/sin(25) = a/sin(45)

a = 7sin(45)/sin(25)

a = 11.71

Answer:

$19.25

Step-by-step explanation:

Answer:

19.25+n or n+19.25 you have to add it not multiply

Step-by-step explanation:

Answer:

k = 5

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

Given

y = 5x , then k = 5

Answer:

167.55

Step-by-step explanation:

so it varies jointly so

A-area if cylinder

so

[tex]a \: \alpha \: \pi \: r \: ^{2} h[/tex]

so

[tex]a = k\pi \: r^{2}h[/tex]

where k is the constant

so apply the first set of values to get k=2/3

then substitute the k with the second set of values

Answer:

1-45 degrees

2-72 degrees

Step-by-step explanation:

exterior angle of a polygon = 360 ÷ number of sides

a shape has 8 sides is an octagon the measure of one angle = 360/8=45

a shape has 5 sides is pentagon the measure of exterior angles=360/5=72

Answer:

97

Step-by-step explanation:

5 * 85 - 4* 82 = 97

Answer:

C

Step-by-step explanation:

Using Parts Whole Postulate we can write:

∠LQP = ∠LQR + ∠PQR

We know that ∠LQP = 77° and ∠LQR = 35° so we can write:

77° = 35° + ∠PQR

Therefore the answer is 77 - 35 = 42°.

Answer:

The third function because the y-intercept is (0, 15)

Step-by-step explanation:

Answer:

First option is the correct option.

Step-by-step explanation:

[tex] \frac{2x + 5}{ {x}^{2} - 3x } - \frac{3x + 5}{ {x}^{3} - 9x } - \frac{x + 1}{ {x}^{2} - 9 } [/tex]

Factor out X from the expression

[tex] \frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x( {x}^{2} - 9)} - \frac{x + 1}{ {x}^{2} - 9} [/tex]

Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex] , factor the expression

[tex] \frac{2x + 5}{x(x - 3)} - \frac{3x + 5}{x(x - 3)(x + 3) } - \frac{x + 1}{(x - 3)(x + 3)} [/tex]

Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )

[tex] \frac{(x + 3) \times (2x - 5) - (3x + 5) - x \times (x + 1)}{x(x - 3)(x + 3)} [/tex]

Multiply the parentheses

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - (3x + 5) - x(x + 1)}{x(x - 3)(x + 3)} [/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - x \times (x + 1)}{x(x - 3)(x + 3)} [/tex]

Distribute -x through the parentheses

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - {x}^{2} - x }{x(x - 3)(x + 3)} [/tex]

Using [tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex] , simplify the product

[tex] \frac{2 {x}^{2} + 5x + 6x + 15 - 3x - 5 - {x}^{2} - x}{x( {x}^{2} - 9)} [/tex]

Collect like terms

[tex] \frac{ {x}^{2} + 7x + 15 - 5}{x( {x}^{2} - 9)} [/tex]

Subtract the numbers

[tex] \frac{ {x}^{2} + 7x + 10}{ x({x}^{2} - 9)} [/tex]

Distribute x through the parentheses

[tex] \frac{ {x}^{2} + 7x + 10}{ {x}^{3} - 9x} [/tex]

Write 7x as a sum

[tex] \frac{ {x}^{2} + 5x +2x + 10 }{ {x}^{3} - 9x } [/tex]

Factor out X from the expression

[tex] \frac{x(x + 5) + 2x + 10}{ {x}^{3} - 9x} [/tex]

Factor out 2 from the expression

[tex] \frac{x( x + 5) + 2(x + 5)}{ {x}^{3} - 9x } [/tex]

Factor out x + 5 from the expression

[tex] \frac{(x + 5)(x + 2)}{ {x}^{3} - 9x } [/tex]

Hope this helps...

Best regards!!

The difference of the expression [tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex] is [tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]

The expression is given as:

[tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex]

Factorize the denominators

[tex]\frac{2x + 5}{x(x -3)} - \frac{3x + 5}{x(x^2 - 9)} - \frac{x + 1}{x^2 - 9}[/tex]

Apply the difference of two squares to the denominators

[tex]\frac{2x + 5}{x(x -3)} - \frac{3x + 5}{x(x - 3)(x + 3)} - \frac{x + 1}{(x - 3)(x + 3)}[/tex]

Take LCM

[tex]\frac{(2x + 5)(x + 3) - 3x - 5 -x(x + 1) }{x(x - 3)(x + 3)}[/tex]

Expand the numerator

[tex]\frac{2x^2 +6x + 5x + 15 - 3x - 5 -x^2 - x }{x(x - 3)(x + 3)}[/tex]

Collect like terms

[tex]\frac{2x^2 -x^2 - x +6x + 5x - 3x+ 15 - 5 }{x(x - 3)(x + 3)}[/tex]

Simplify

[tex]\frac{x^2+7x+ 10 }{x(x - 3)(x + 3)}[/tex]

Factorize the numerator

[tex]\frac{(x+5)(x+ 2) }{x(x - 3)(x + 3)}[/tex]

Expand the denominator

[tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]

Hence, the difference of the expression [tex]\frac{2x + 5}{x^2 -3x} - \frac{3x + 5}{x^3 - 9x} - \frac{x + 1}{x^2 - 9}[/tex] is [tex]\frac{(x+5)(x+ 2) }{x^3- 9x}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

He should expect to be stopped a total of 16 times

Step-by-step explanation:

What the question is saying is that out of every 5 intersections, he would be stopped at 2.

Now, for forty times in which he passes through an intersection , we want to know the number of times in which he would be stopped

In this case we only need to multiply the probability by the number of times in which he passes an intersection and that would be 2/5 * 40 = 16 times

Answer:

16

Step-by-step explanation: