Which of the following is a correct tangent ratio for the figure? A) tan (24) 76 B) tan(76°) °= 2 C) tan(76°) = D) tan(8") = 24 76​

Answer:

Step-by-step explanation:

b) a² - 1 + b(b - 2a) = a² -1 + b*b -  b*2a     {distributive property}

                              =a² - 1 + b² - 2ab

                               = (a² - 2ab + b² ) - 1  

                               = (a - b)² - 1²           {use identity x²-y²= (x+ y)(x -y)}

                               = (a - b + 1)(a -b +1)

b) 15 +8y + y² - 2x - x² = (y² + 8y  + 15) - x² - 2x

                                    =  (y² + 5y + 3y + 15) - x(x + 2)

                                    = [ y(y + 5) + 3(y +5)] - x(x + 2)

                                   = [(y + 5)(y+3) ] - x(x +2)

Answer:

Two consecutive even terms and LCM = 180

Let’s assume the two terms:

1st term : 2x

2nd term : 2x + 2

There is a rule which states that

If ‘a’ and ‘b’ are two numbers, then their product is equal to the product of their LCM and HCF.

i.e,

a∗b=HCF∗LCM  - (i)

We can logically say that the HCF of any two consecutive even numbers is always equal to ‘2’ provided that the smallest no. is at least ‘2’.

i.e.,

HCF of ‘2x’ and ‘2x + 2’ is ‘2’ - (ii)

Therefore,

from (i) and (ii),

2x∗(2x+2)=  HCF * LCM

2x∗(2x+2)=2∗180  

x∗(2x+2)=180  

2x2+2x−180=0  

Solving the quadratic equation we get,

x=9,−10 (we discard -10 since it is negative)

Therefore, the numbers are

2∗9=18  (1st no.)

2∗9+2=18+2=20  (2nd no.)

Answer :  18,20

Step-by-step explanation:

Answer:

x = 61

Step-by-step explanation:

Supplementary angles add up to 180 degrees. We can create an equation and solve for x.

(2x + 6) + (x - 9)= 180

~Combine like terms

3x - 3 = 180

~Add 3 to both sides

3x = 183

~Divide 3 to both sides

x = 61

Best of Luck!

Answer:

mean

Step-by-step explanation:

The mean is the center of a normal distribution

Answer:

kslskd बोडलालामसूनिविवल

Answer:

y: 1, -3, -7, -11, -15

Step-by-step explanation:

Substitute the value of x in the chart for the formula given:

y = -4x + 1

For the first column in the x-row, do the following

y = -4(0) + 1

y = 1

And...

y = -4(1) + 1

y = -3

And so on.

Answer:

n = ≥500

Step-by-step explanation:

They must be able to swim 500 yards or more.

Answer:

Step-by-step explanation:

1. arc length

2. semicircle

3. minor arc

4. arc measure

5. circumference

6. radius

7. diameter

HOPE THIS HELPS

Answer:arc length

2. semicircle

3. minor arc

4. arc measure

5. circumference

6. radius

7. diameter

Step-by-step explanation:

Answer:

y=3x

Step-by-step explanation:

The equation of the line is y=3x

Answer:

Consider the reflection of the parallelogram PQRS across the line of reflection wy if RR = 14 Then RZ= If SX=5 then = 5

Step-by-step explanation:

Answer:

7π + 7π + 196 ( could also be 14π + 196)

Step-by-step explanation:

14 is the length of the square. However it is also the diameter of the circle.

If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.

After finding 7π for one half a circle you do the same for the other and also get 7π

After finding the 2 half circles find the square which is 14 x 14 = 196

196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π

Step-by-step explanation:

sin/cos=tan theta.It is the value of the safety angle

Step-by-step explanation:

see the answer in attached picture

pls mark me as brainliest pls

Answer:

If two machine works together it takes 180 minute to complete 6480 shirts

Step-by-step explanation:

2400 ÷ 150 = 6

So here,

1st machine produces 20 shirts per minutes

let, x=minutes for shirt's production

Now,

(16+20)x=6480

36x=6480

x=6480/36

Therefor, x=180 minutes

Answer:

A

Step-by-step explanation:

The inscribed angle IJK is half the measure of its intercepted arc, so

arc IK = 2 × 75° = 150°

The 3 arcs sum to  360° , then

arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A

Answer:

80 ft

Step-by-step explanation:

width = w

length = w+10

Perimeter of a rectangle

P = 2(l+w)

300 = 2(w+10+w)

300 = 2(2w+10)

Divide by 2

300/2 = 2/2(2w+10)

150 = 2w+10

Subtract 10

150-10 = 2w+10-10

140 = 2w

Divide by 2

140/2 = 2w/2

70 = w

l = w+10

l = 70+10

w = 80

Answer:

- 5i

Step-by-step explanation:

sqrt(-100) / -sqrt(4)

We know that  sqrt(a) / sqrt(b) = sqrt(a/b)

- sqrt(-100/4)

- sqrt(-25)

We know that sqrt(ab) = sqrt(a) sqrt(b)

- sqrt(25) sqrt(-1)

We know sqrt(-1) = i

Taking the principle value of sqrt(25)

- 5i

Answer: 133,827 lb/ft^3

Step-by-step explanation:

V = (4/3) (3.14)(8^3) = 133,827

Answer:

Hello,

Step-by-step explanation:

[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]

One other way:

Let say x=1.272727...

100x=127.272727...

x=1.272727...

99x=126

x=126/99

x=14/11

Answer:

Both Ava and Finn are correct

Step-by-step explanation:

There are 4 tables and 9 pencils at each table

4 ( 9) = 36

9 * 4 = 36

Both Ava and Finn are correct

Answer:

See explanation

Step-by-step explanation:

Maximum weight = 20 kg

Bag 1 = 3.5kg

Bag 2 = 15 kg

Bag 3 = 2kg

Bag 4 = 1.5kg

Total weight of bags = 22 kg

Excess weight of his luggage = Total weight of bags - Maximum weight

= 22 kg - 20 kg

= 2 kg

Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100

= 2/20 × 100

= 0.1 × 100

= 10%

Express the excess weight as a percentage of his maximum weight allowed = 10%

Answer:

I assume that the function is:

[tex]f(x) = \frac{1}{4}*8^x[/tex]

Now let's describe the general transformations that we need to use in this problem.

Reflection across the x-axis:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

Reflection across the y-axis:

For a general function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

Then a reflection across the y-axis, and then a reflection across the x-axis is just:

g(x) = -(f(-x)) = -f(-x)

In this case, we have:

[tex]f(x) = \frac{1}{4}*8^x[/tex]

then:

[tex]g(x) = -f(-x) = -\frac{1}{4}*8^{-x}[/tex]

Now we can graph this, to get the graph you can see below:

Answer:

True

Step-by-step explanation:

Office resources can be defined as all those means, facilities or equipments, including manpower that are utilized in the operation of various office procedures on a daily basis. Thus, office resources comprises means of communication, means of transportation, manpower (workers or employees), furniture, computer, etc.

Basically, the proper and efficient utilization of office resources determine the level of success that would be achieved in any office.

In Business management, office resources are generally grouped into five (5) main categories and these include;

I. Communication.

II. Transportation.

III. Material and office supplies.

IV. Sources of income (finance).

V. Manpower (human resources).

Manpower is also referred to as human resources or office personnels and it can be defined as the total number of people working from the lower hierarchy to top hierarchy of an organization, engaged in various jobs or tasks at different levels.

Basically, manpower is considered to be the most important type of office resources because it is vital for achieving the organizational goal.

This ultimately implies that, the most valuable assets of an organization is its qualitative manpower because it comprises human competence, skills and knowledge.

Answer:

2

Step-by-step explanation:

slope = rise/run

rise = difference in y

run = difference in x

slope = (8 - 2)/(3 - 0)

slope = 6/3

slope = 2

Answer:

2 cups

Step-by-step explanation:

In this question, an amount is divided between three parts. From this, relations between the variables are used to find the amount corresponding to each part.

Sum of 1110 between A, B and C:

This means that:

[tex]A + B + C = 1110[/tex]

For every rs 8 given to A,B may get Rs 5

This means that:

[tex]\frac{A}{B} = \frac{8}{5}[/tex]

And thus:

[tex]5A = 8B[/tex]

[tex]A = \frac{8B}{5}[/tex]

For every Rs 7 given to B ,C may get rs 4​

This means that:

[tex]\frac{B}{C} = \frac{7}{4}[/tex]

And thus:

[tex]7C = 4B[/tex]

[tex]C = \frac{4B}{7}[/tex]

Amount of B:

Replacing into the original equation:

[tex]A + B + C = 1110[/tex]

[tex]\frac{8B}{5} + B + \frac{4B}{7} = 1110[/tex]

[tex]\frac{56B + 35B + 20B}{35} = 1110[/tex]

[tex]111B = 1110*35[/tex]

[tex]B = \frac{1110*35}{111}[/tex]

[tex]B = 350[/tex]

Amounts of A and C:

A and C are given as functions of B, so:

[tex]A = \frac{8B}{5} = \frac{8*350}{5} = 560[/tex]

[tex]C = \frac{4B}{7} = \frac{4*350}{7} = 200[/tex]

Thus:

The amount given to A is of Rs 560, to B is of Rs 350 and to C is of Rs 200.

For another problem involving divisions given ratios, you can check https://brainly.com/question/23857756.

A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.

In this problem, we must translate the sentences into mathematical expression. Please notice that systems of linear equations are resoluble if the number of formulas equals the number of variables. In other words, we must have three linear equations for three variables:

1) Divide a sum of RS 1110 between A, B, C:

[tex]a + b + c = 1110[/tex] (1) Var: 3, Eqs: 1  

2) So that for every RS 8 give to A, B may get RS 5:

[tex]\frac{a}{b} = \frac{8}{5}[/tex]

[tex]5\cdot a - 8\cdot b = 0[/tex] (2) Var: 3, Eqs: 2

3) And for every RS 7 given to B, C may get RS 4:

[tex]\frac{b}{c} = \frac{7}{4}[/tex]

[tex]4\cdot b -7\cdot c = 0[/tex] (3) Var: 3, Eqs: 3

Now we solve the resulting system, the solution set of the system is:

[tex]a= 560[/tex], [tex]b = 350[/tex], [tex]c = 200[/tex]

A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.

Answers:

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

Explanation:

The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that [tex]-4 < x \le 3[/tex]. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).

The interval [tex]-4 < x \le 3[/tex] then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.

It says: x is between -4 and 3. It can't equal -4 but it can equal 3.

So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.

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

The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.

The range as a compound inequality is [tex]-5 < y \le 5[/tex]. This condenses into the shorthand of (-5, 5] which is the range in interval notation.

Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.

Answer:

Hello,

Step-by-step explanation:

Domain(f)= ]-4;3]={x€R | -4<x≤3}

Rang(f)=]-5;5]={y€R | -5< y ≤5}

Answer:

-35

Step-by-step explanation

A predecessor is something that came before the current version, and -36 is negative so before -36 is -35

Answer:

the correct answer is -34

Step-by-step explanation:

A predecessor is something that came before the current version.

hope it helps you

Answer:

use Pisagor teorem

Step-by-step explanation:

The line which start on the edge and divided other side 64 and 36 be Y and we use Pisagor teorem so Y²=64*36...... y=8*6=48 .................(1)

use other triangle to find hipotenus 48²+36²=x² .... x= 60