Fine 3 consecutive numbers where the product of the similar two numbers is 28 less than the square of the largest number

Answer:

b/e/g=63

d/c/f/h=117

Step-by-step explanation:

b , e and g=63

d,c,f, and h = 63

Answer:

a=b=e=g= 63°

d=c=h=f= 180°-63°= 117°

Answer:

slope = - [tex]\frac{1}{2}[/tex], y- intercept = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = [tex]\frac{0-1}{2-0}[/tex] = - [tex]\frac{1}{2}[/tex]

The y- intercept is the value of y where the graph crosses the y- axis.

y- intercept = 1

Answer:

(-9,9) or (-9,-7) are the possible coordinates

Step-by-step explanation:

We can use the formula for the distance between two points to get this

Mathematically, this can be;

d = √(x2-x1)^2 + (y2-y1)^2

Now let our point A be (x1,y1) = (-9,n)

let’s say y1 is n for now

For point B, we have (x2,y2) = (3,2)

and our d is 15 units

Inputing the values, we have

15^2 = (3+9)^2 + (2-n)^2

225 = 144 + (2-n)^2

225-144 = (2-n)^2

(2-n)^2 = 81

(2-n) = √(81)

2-n = -9

or 2-n = 9

n = 11 or n = -7

Now the possible coordinate values of point A are;

(-9,9) or (-9,-7)

Answer:

Step-by-step explanation:The distance between points is given by the following equation:

 d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)

 Substituting we have:

 15 = root ((- 9 -3) ^ 2 + (a-2) ^ 2)

 We clear the value of a:

 (15) ^ 2 = (root ((- 12) ^ 2 + (a-2) ^ 2)) ^ 2

 225 = (- 12) ^ 2 + (a-2) ^ 2)

 Rewriting:

 225 = 144 + (a-2) ^ 2

 225-144 = (a-2) ^ 2

 81 = (a-2) ^ 2

 a-2 = +/- root (81)

 a = +/- 9 + 2

 The possible values are:

 a1 = 9 + 2 = 11

 a2 = -9 + 2 = -7

 Then, the possible coordinates of point a are:

 (-11, 11)

 (-11, -7)

 Answer:

 the possible coordinates of point a are:

 (-11, 11)

 (-11, -7)

Answer:

The area of the rectangle is 880 cm

Step-by-step explanation:

Lenght = 55cm

Breadth/width=16cm

Area of rectangle= lenght×breadth

Area= 55×16

Area= 880

Hence, area of rectangle is 880cm

P.S - Mark me as the brainliest :D

Answer:

the range of the function is ∞

Answer:

11

Steps:

Find the prime factores of 396.

These are 2x2x3x3x11.

Circle all the pairs and pick out the one that does not have a pair. In this case it is 11.

You can either multiply 396 by 11 or divide by 11 to make it a perfect square.

Since the question asks for divide. It’s 11

Hope this helps.

Good Luck

Answer:

Step-by-step explanation:

Prime factorize 396

396  = 3 * 3 * 2 * 2 * 11

       = 3² * 2² * 11

So, to make 396 a perfect square, divide 396 by 11

396÷11 = 36 is a perfect square

Step-by-step explanation:

equality have the same values where as inequality have different values

Answer:

using the properties of equality on any equation will not change the solution set. When multiplying or dividing an any quality by a negative number, you must reverse the inequality symbol or he will not get the correct solution set.

Step-by-step explanation:

Answer:

the exact form is 3/8

in a decimal it's 0.375

Step-by-step explanation:

Answer:

280

Step-by-step explanation:

Answer:

So lets calculate, we know that the common multiplier is 3. So we can use the geometric sequence formula.

(ar)^(n-1)

So we have 1*3 = 3. 3 to the power of 11-1 = 10. So our answer is 3^10 or 59049. Thats the answer

The 11th term of the geometric progression is 59049

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

The first term of the geometric progression is a = 1

The common ratio r = second term / first term

                                 = 3/1

                                 = 3

The number of terms n = 11

So , the equation to calculate the nth term of a GP is

aₙ = arⁿ⁻¹

Substituting the value of a , n and r  we get

a₁₁ = ar¹¹⁻¹

a₁₁ = ar¹⁰

a₁₁ = 3¹⁰

a₁₁ = 59049

Therefore the value of a₁₁ is 59049

Hence , The 11th term of the geometric progression is 59049

To learn more about geometric progression click :

https://brainly.com/question/1522572

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Answer:

x=6

Step-by-step explanation:

......................

Answer:

x=6

Step-by-step explanation:

7x+2y = 48

Let y = 3

7x +2(3) = 48

7x+6 = 48

Subtract 6 from each side

7x+6-6 = 48-6

7x = 42

Divide each side by 7

7x/7 = 42/7

x = 6

Answer:

50000y^9.

Step-by-step explanation:

(2y)^4 * (5y)^5

= 2^4 y^4 *  5^5 y^5

= 16y^4 * 3125y^5

= 50000y^9.

Answer:

180°

Step-by-step explanation:

In bearing the protractor is placed in the North-South direction(eastside) thus directly north is on a bearing of 0°.After you mark the point B. A will be directly south which is on a bearing of 180°

Answer:

0.3

Step-by-step explanation:

3/10 = 3 : 10 = 0,3

Answer:

The value of q = 11

Step-by-step explanation:

Number of pure cotton shirts = [tex]\frac{4+q}{20}[/tex]

Probability of drawing pure cotton shirts = [tex]\frac{4+q}{20}[/tex] = [tex]\frac{3}{4}[/tex]

Substituting the above problem = 4(4 + q) = 3 x 20

                                                     =  16 + 4q = 60

                                                     = 4q = 60 - 16 = 44

                                                     = q = [tex]\frac{44}{4}[/tex]

∴ q = 11

Answer:

(-1, 4)

Step-by-step explanation:

11x+5y=9

11x+3y=1

subtract side-by-side

Step-by-step explanation:

position your compass at point A and using the same distance mark arcs on line AB(mark the point it meets the line D)and AC(mark the meeting point of the arc and the line E).Place your compass at D and draw an arc at the middle of the angle,using the same measurements position your compass at point E and draw an arc.Where the two arcs meet label F using a ruler draw a straight line from F to meet point A.

Note;the width of the compass when making the arcs should be the same always

Answer:

x = a^2 b

Step-by-step explanation:

log x = 2 log a + log b

We know that

c log d = log d^c

log x =  log a^2 + log b

We know that log c* log d = log cd

log x =  log a^2 b

Since they are both logs

x = a^2 b

Please find attached photograph for your answer.

Answer:

1) If the coefficent of any variable is zero then the answer of the variable is 0.

2) There are two answers in a system of equations.

Sarah is carrying out a series of experiments which involve using increasing amounts of a chemical. In the  first experiment she uses 6g of the chemical and in the second experiment she uses 7.8 g of the chemical

(i)Given that the amounts of the chemical used form an arithmetic progression find the total amount of  chemical used in the first 30 experiments

(ii)Instead it is given that the amounts of the chemical used for a geometric progression. Sarah has a  total of 1800 g of the chemical available. Show that the greatest number of experiments possible satisfies the inequality: [tex] 1.3^N \leq 91[/tex] and use logarithms to calculate the value of N.

Answer:

(a)963 grams

(b)N=17

Step-by-step explanation:

(a)

In the first experiment, Sarah uses 6g of the chemical

In the second experiment, Sarah uses 7.8g of the chemical

If this forms an arithmetic progression:

First term, a =6g

Common difference. d= 7.8 -6 =1.8 g

Therefore:

Total Amount of  chemical used in the first 30 experiments

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d] \\S_{30}=\dfrac{30}{2}[2*6+(30-1)1.8] \\=15[12+29*1.8]\\=15[12+52.2]\\=15*64.2\\=963$ grams[/tex]

Sarah uses 963 grams in the first 30 experiments.

(b) If the increase is geometric

First Term, a=6g

Common ratio, r =7.8/6 =1.3

Sarah has a total of 1800 g

Therefore:

Sum of a geometric sequence

[tex]S_n=\dfrac{a(r^N-1)}{r-1} \\1800=\dfrac{6(1.3^N-1)}{1.3-1} \\1800=\dfrac{6(1.3^N-1)}{0.3}\\$Cross multiply\\1800*0.3=6(1.3^N-1)\\6(1.3^N-1)=540\\1.3^N-1=540\div 6\\1.3^N-1=90\\1.3^N=90+1\\1.3^N=91[/tex]

Therefore, the greatest possible number of experiments satisfies the inequality

[tex] 1.3^N \leq 91[/tex]

Next, we solve for N

Changing [tex] 1.3^N \leq 91[/tex] to logarithm form, we obtain:

[tex] N \leq log_{1.3}91\\N \leq \dfrac{log 91}{log 1.3}\\ N \leq 17.19[/tex]

Therefore, the number of possible experiments, N=17

Answer: C.5

The answer is 5.

Why is there a twenty character minimum on brainly? what a stupid idea

I agree with the other person. The answer is C 5 which can be shown in the diagram below.

The red outlines mark these blocks. Note that the upper two red blocks in the far right portion are underneath a set of blocks that are on the second story of this "building" of sorts.

Answer:

1. C. 1 + cot²θ = cos²θ

D. 1 - sec²θ = tan²θ

2. D. 0

3. C. Any square is a rectangle

4. C. Parallelogram

5. B. 30 m

6. A. cos(-890°) is Negative

Sin(-890°) is negative

7. A. 100·√3 m

8. [tex]\left (\dfrac{-8}{3} , \dfrac{1}{3} \right )[/tex]

9. First option, A. 68 unit

10. A. 150

Step-by-step explanation:

1. C. 1 + cot²θ = cos²θ

The correct identity is given as follows;

1 + cot²θ = csc²θ

Also

D. 1 - sec²θ = tan²θ

The correct identity is given as follows;

1 - sec²θ = -tan²θ

2. cot(-8550)

We convert -8550 to degrees by dividing by 360 and multiplying the remaining fraction by 360 as follows;

[tex]\dfrac{-8550}{360} = -23\dfrac{3}{4}[/tex]

Therefore, -8550 ≅ -3/4×360 = -270

-270 ≅ 360 - 270 = 90°

Therefore, cot(-8550) = cot(90) = 1/(tan(90)) = 1/∞ = 0

Therefore, the correct option is the option D. 0

3. The correct option is any square is a rectangle as a square (a rectangle with all sides equal) is a subset of the set of rectangles

The correct option is C. Any square is a rectangle.

4. Where the diagonals bisect each other, we have a shape where the two opposite triangle areas across the bisector are equal

Therefore, the quadrilateral is necessarily a C. Parallelogram

5. Where by the angle of depression = 45°

Therefore, the angle of elevation = 45° (Alternate angles)

The height of the building = 30 m

Therefore, tan(45°) = (30 m)/(Distance of point A from the building) = 1

∴ The distance of point A from the building = 30 m

The correct option is therefore;

B. 30 m

6. A. -890° = 190° which is in the second quadrant

Therefore, cos(190°) = Negative

B. -1200° = -120° = 240 which is in the third quadrant

Hence, tan(-1200) = tan(240) is positive

C. Sin(1200) = Sin(120) which is in the second quadrant

Hence, sin(1200) is positive

D. Sin(-890°) = Sin(190°) which is in the third quadrant

Hence, sin(-890) is negative

7. The distance from the wall where the measurement is taken = 100/(tan(30)) = 100·√3 = 173.21 m

The total height of the antenna from the ground = 173.21 × tan(45) = 100·√3 m

The total height of the antenna from the ground is 100·√3 m

The correct option is therefore;

A. 100·√3 m

8. The coordinates of the point of intersection of the medians is given by the relation;

[tex]Centroid = \left (\dfrac{x_{1}+x_{2}+x_{3}}{3} , \dfrac{y_{1}+y_{2}+y_{3}}{3} \right )[/tex]

Where:

x₁, y₁ x₂, y₂, x₃, y₃ are the coordinates of the vertices

We therefore have;

[tex]Median \, point= \left (\dfrac{(-2) +(-2)+(-4)}{3} , \dfrac{3+(-7)+5}{3} \right ) = \left (\dfrac{-8}{3} , \dfrac{1}{3} \right )[/tex]

9. The perimeter of the rhombus = 4×√(First diagonal)/2)

[tex]The \, perimeter \, of \, the \, rhombus = 4\times \sqrt{\left (\dfrac{First \, diameter}{2} \right )^{2}+ \left (\dfrac{Second \, diameter}{2} \right )^{2}}[/tex]

[tex]= 4\times \sqrt{\left (\dfrac{16}{2} \right )^{2}+ \left (\dfrac{30}{2} \right )^{2}} = 68 \ unit[/tex]

The correct option is A. 68 unit

10. The exterior angle of a regular polygon > 180°, therefore, the correct option is A. 150

Answer:

may be 25

idk the real but might be 25

Step-by-step explanation:

Answer:

B. 32°

Step-by-step explanation:

Since two of the sides are 10 in length, then we can infer that ∠A and ∠C are congruent. So, both equal 74°. You add 74 + 74 + x = 180, x would equal 32°.

Answer:

B

Step-by-step explanation:

sum of angle in triangle is 180

and since its isosceles triangle, it means <C will be same with <A

so we know that A + C = 148.

so the value of B will be like this

B = 180° - (A+C)° = 180 - 148 = 32°

Answer:

look on symbolab got my answer from there'

Step-by-step explanation:

Answer:

Which quadratic equation models the main cable of the bridge correctly?

y = 0.048x2 – 2494

y = 0.048x2 – 6

y = 0.0048(x – 50)2 + 6 (This is correct)

y = 0.0048(x – 6)2 + 50

The value of a is 0.0048.

Given that,

The main cable of a suspension bridge forms a parabola described by the equation,

[tex]\rm y = a(x-50)^2+6[/tex]

We have to find,

The value of a.

According to the question,

The given relationship between the variables x and y is,

[tex]\rm y = a(x-50)^2+6[/tex]

In the given graph the points of the parabola are (30, 7.92), (50, 6), and (70, 7.92)

1. The value of an at the point (30, 7.92) is,

[tex]\rm y = a(x-50)^2+6\\\\7.92 = a (30-50)^2 +6\\\\7.92 = a(-20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048[/tex]

2. The value of an at the point (70, 7.92) is,

[tex]\rm y = a(x-50)^2+6\\\\7.92 = a (70-50)^2 +6\\\\7.92 = a(20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048[/tex]

3.  The value of an at the point (50, 6) is an infinite solution the value of a is not defined at the points.

Hence, The value of a is 0.0048.

For more details refer to the link given below.

https://brainly.com/question/25996776

Answer:

-4

Step-by-step explanation:

2a2+5a2

2(-6)2=-24

5(2)2=20

-24+20=-4

Answer: -4

Step-by-step explanation:

(2x-6×2)(5×2×2)

-24+20

-4