Hi please answer ASAP please and thank you

Answer:

LHS = (cosA+cosB)²+(sinA+sinB)²

= (cos²A+2cosAcosB+cos²B)+

(sin²A+2sinAsinB+sin²B)

/* By algebraic identity:

(x+y)² = x²+2xy+y² */

Rearranging the terms, we get

= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)

= 1+1+2cos(A-B)

________________________

we know that,

i) cos²x + sin²x = 1

ii) cosxcosy+sinxsiny = sin(x-y)

________________________

= 2+2cos(A-B)

= 2[1+cos(A-B)]

\boxed {1+cos\theta = 2cos^{2}\frac{\theta}{2}}

1+cosθ=2cos

2

2

θ

= 2\times 2cos^{2}\frac{(A-B)}{2}2×2cos

2

2

(A−B)

=4cos^{2}\frac{(A-B)}{2}4cos

2

2

(A−B)

=RHSRHS

Therefore,

(cosA+cosB)²+(sinA+sinB)²

=4cos^{2}\frac{(A-B)}{2}4cos

2

2

(A−B)

Answer:

I have no clue sorry bro.

Answer:

15 feet width of actual garden

360 feet^2 is area

Step-by-step explanation:

Scale in drawing:

width : length

5 : 8

Actual Meausrements:

x: 24

Actual Width = 5:8

                        x : 24

                       8x = 24 x 5

                       8x = 120

                       120/8 = 15

Area of garden= lxw

15 x 24

= 360 feet^2

Answer from Gauthmath

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

Step-by-step explanation:

-4 + 5x − 7 = 10 + 3x − 2x

=> 5x + 2x - 3x = 10 + 7 + 4

=> 4x = 21

=> x = 21/4 (Ans)

Answer:

d. x = 4/21

Step-by-step explanation:

-4 + 5x − 7 = 10 + 3x − 2x

5x-11 = x+10

4x = 21

x = 4/21

hope it helps :)

please mark brainliest!

Answer:   [tex]g(x) = -\frac{4}{x+5}+4[/tex]

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

Explanation:

We start with y = 1/x

Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.

Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.

Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.

Lastly, we tack on a +4 to shift the graph up 4 units.

The final result is [tex]g(x) = -\frac{4}{x+5}+4[/tex]

Answer:

VK for up ureueusidifdisodaaiwiwu

Answer: Most likely 6,750 steps

Answer:

His loss is 90

He sold it 1710

Step-by-step explanation:

1) 1800x5/100= 90

2) 1800-90=1710

Answer:

Step-by-step explanation:

CP = ₹1800

Loss  = 5%

[tex]SP =\frac{100-Loss}{100}*CP\\\\= \frac{100-5}{100}*1800\\\\=\frac{95}{100}*1800\\\\[/tex]

= ₹  1710

Loss = CP - SP

        = 1800 - 1710

        = ₹ 90

Answer:

[tex]y=2^{x}\ -3[/tex]

Step-by-step explanation:

Step 1: Find the area of the whole circle

A = pi x r^2

A = pi x 12^2

A = 144pi units^2

Step 2: Use the given angle to find only a part of the area

---The whole circle is 360 degrees, we only want 45 degrees.

45/360 x 144pi

1.5pi

4.71 units^2

Hope this helps!

Answer:

E. None of these

Step-by-step explanation:

Sector Area = r²  (α / 2)

R = 12

a (angle) = 45

12^2 = 144

45/2 = 22.5

144 x 22.5 = 3240

This is not one of the options therefore it is E. None of these

Pls let me know if incorrect

Answer:

This is a negative correlation

Step-by-step explanation:

The graph tells us that as time passes on, less strawberries/Quarts are picked.

Answer:

A) 6 square inches.

Step-by-step explanation:

A(Triangle) = 1/2bh

b = base length

h = height length

A(Triangle) = 1/2(4)(3) = 6

Therefore, the area of the triangle is 6 in².

OPTION C is the correct answer.

Answer:

B

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{a}{c}[/tex] → B

Answer:

r : s is √3 : 2

Step-by-step explanation:

The given parameter are;

A cube is inscribed in a sphere

The side length of the cube = s

The radius of the sphere = r

The ratio r : e = Required

It is noted that for a cube inscribed in a sphere, we have;

The diameter of the sphere = The diagonal of the cube

The diameter of the sphere, D = 2 × The radius = 2·r

The square of the diagonal of the cube, d² = s² + s² + s² = 3·s²

∴ The diagonal of the cube, d = (√3)·s

From the relationship between the cube and the sphere in which it is inscribed, (The diameter of the sphere = The diagonal of the cube), we have;

2·r = (√3)·s

∴ r/s = (√3)/2

r : s = √3 : 2.

Answer:

Options (1) and (4)

Step-by-step explanation:

Given equation for the deposit in the saving account is,

y = 20x + 50

Here, y = Amount of money in the account

20 = money added in the account every month

50 = Initial deposit

By comparing this equation with the slope-intercept form of the equation of a line,

y = mx + b

Here, slope m = money added in the account every month

And b = y-intercept

Therefore, Options (1) and (4) will be the answer.

Answer: Count the dots located on the blot labeled at 2.

There are 6 dots, which mean 6 students read 2 books.

The answer is 6.

Step-by-step explanation:

Answer:

k = 2

Step-by-step explanation:

[tex]\frac{8}{4} =\frac{4}{k}[/tex]

8k = 16

k = 2

Answer:

$51.38

Step-by-step explanation:

7.43% of 47.83=(rounded to the nearest hundredth) 3.55

7.43/100*x/47.83

x=3.55

because we are solving for x

we can also cross check by taking out the percentage

x/100*3.55/47.83

47.83x=355

x=7.42212000836

which is about 7.43%

47.83+3.55= 51.38

Answer:

12.5 % was spent

Step-by-step explanation:

How much did he start with

20 + 140 = 160

He spent 20

20/160 = 1/8

.125

12.5 % was spent

Answer:

12.5%

Step-by-step explanation

ok so

20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%

Answer:

Infinite Solutions

Step-by-step explanation:

If you graph both lines (shown below), you will see that both lines given are overlapping each other. This means that their are an infinite amount of solutions.

Best of Luck!

Answer:

B.  57

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.

y + y = 114

2y = 114

y = 57

Answer:

It is the first set of linear inequalities that is correct.

Step-by-step explanation:

Answer:

k = 9

Step-by-step explanation:

Given

[tex]1= x^2 - 6x[/tex]

Required

The perfect number

The coefficient c of x in the above equation is:

[tex]c = -6[/tex]

Divide by 2

[tex]c/2 = -3[/tex]

Square both sides

[tex](c/2)^2 = 9[/tex]

Hence, the constant to add is:

[tex]k = 9[/tex]

Answer:

1. (2.2, -1.35) and (2.2, -1.4)

2. y = 8x - 7

3. infinite number of solutions

4. (2.2,-1.4) (2.2,-1.35)

5. 6

6. (1.33,1)

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Here's an easy way to remember:  Domain and Range are in alphabetical order,  x and y are in alphabetical order.

The domain is the set of all x coordinates (the first number in each pair).

The range is the set of all y coordinates (the second number in each pair).

Domain:  {-17, -10, 0, 3}

Range: {18, -15, 0, -1}

it x the first one that the cause it going the other way

Answer:

the number you're looking for is 9.5

Step-by-step explanation:

4x-7 = 12+2x

2x-7 = 12

2x = 19

x = 9.5

Answer:

9 or 27

Step-by-step explanation:

2x8 -3 ^2 + 2

2x8  -9 + 2

16 - 9 + 2

= 9

or

2 x 8 - 3^2 + 2

2 x 8 + 9  + 2

16 + 9 + 2

= 27

Answer:

9 is the answer of your question

Step-by-step explanation:

Hope it is helpful to you