the length of a rectangle is 4 units more then its breadth.its perimeter is 28 units. what is the length

Answer:

1084.5

Step-by-step explanation: 120.5*9 = 1084.5

Answer:

One pack = Rs 120.5

→ Multiply both the brackets and price by 9

9 packets = Rs 1084.5

Answer:

6.4 x 10 to the power of 3

Step-by-step explanation:

always have 1 number after the decimal point and then times by ten to the power of 3.

Answer:

64x10²

Just move it to the left 2 times.

Answer:

[tex]T_{12} = 354294 + 354294i[/tex]

Step-by-step explanation:

Given

Geometric Sequence (GP)

[tex]T_1 = 2 + 2i[/tex]

[tex]r = 3[/tex]

Required

Determine T₁₂

The nth term of a GP is calculated as thus;

[tex]T_n = ar^{n-1}[/tex]

In this case;

[tex]n = 12[/tex];  [tex]r = 3[/tex] and [tex]a = T_1 = 2 + 2i[/tex]

Substitute these values in the above formula

[tex]T_{12} = (2 + 2i) * 3^{12-1}[/tex]

[tex]T_{12} = (2 + 2i) * 3^{11}[/tex]

[tex]T_{12} = (2 + 2i) * 177147[/tex]

Open the bracket

[tex]T_{12} = 177147 * 2 + 177147 * 2i[/tex]

[tex]T_{12} = 354294 + 354294i[/tex]

Hence, the 12th term of the sequence is [tex]T_{12} = 354294 + 354294i[/tex]

Answer:

2.29 rads

Step-by-step explanation:

The  length of the arc of a circle of radius r is given by;

l = rθ            ---------------------------(i)

Where;

l = length of the arc

θ = central angle o that intercepts that arc and measured in radians.

From the question:

l = 16ft

r = 7ft

Substitute these values into equation (i) as follows;

16 = 7θ

Make θ subject of the formula

θ = [tex]\frac{16}{7}[/tex]

θ = 2.29    

Therefore, the radian measure of the central angle is 2.29 rads

Answer:

Following are the answer to this question:

Step-by-step explanation:

For calculating, matching, or arranging certain fractions, the benchmark fraction can be described as common fractions, that can be calculated or judged. It is most useful when measuring fractions to comparisons in a number line.

Given value:

[tex]\to 1 \frac{1}{3}[/tex] [tex]= 1+\frac{1}{3} \\[/tex]

         [tex]= 1+ \frac{1}{6}+\frac{1}{6}\\[/tex]

Answer:

y = -2/3x + 2

Step-by-step explanation:

Hey there!

Well since we already got the y-intercept to find slope we'll use the points,

(3,0) and (0,2).

Formula: [tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]

Plug in the given points,

[tex]\frac{2 - 0}{0 - 3}[/tex]

Slope = -2/3

Slope-intercept: y = -2/3x + 2

Hope this helps :)

Answer:

y = -2/3x + 2  or

2x + 3y  = 6   (standard form).

Step-by-step explanation:

I am assuming you want the equation of the straight line that passes through these 2 points.

The 2 points are (3, 0 ) and (0, 2).

The slope of the line =  (2 - 0) / (0 - 3)

= -2/3.

The equation is y = -2/3x + 2  ( as 2 is the y-intercept).

In standard form this is :

3y = -2x + 6

2x + 3y  = 6.

Answer:

Step-by-step explanation:

Use distributive property a(b+c) = a*b +a*c

4(-8x + 5) - (-33x - 26) = 4*-8x + 4 *5 - 33x * (-1) - 26*(-1)

                                    = -32x + 20 + 33x + 26

                                    {add like terms}

                                    = -32x + 33x + 20 +26

                                   = 1x + 46

Answer:

see explanation

Step-by-step explanation:

Given the ratio 30 : 12 ( divide both parts by 6 )

= 5 : 2

Given the ratio

40 : 16 ( divide both parts by 8 )

= 5 : 2

Thus the 2 ratios are equivalent and simplify to 5 : 2

Answer:

whole number is the answer

Answer:

10n

Step-by-step explanation:

n represents number, its like using X, since we don't have the information on it, we replace it with a letter.

Answer:

Let the number be n.

10× n =10n.

hope you got thè answer.

Answer:

v = 1.62 m/s

Step-by-step explanation:

Given that,

Distance covered by the mouse is 5.56 m is in 3.42 seconds.

We need to find the velocity of the mouse. It is equal to the total distance covered divided by time taken. So,

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{5.56\ m}{3.42\ s}\\\\v=1.62\ m/s[/tex]

So, the velocity is 1.62 m/s.

Answer:

Step-by-step explanation:

Let the unknown number be x

[tex]\frac{3}{4} = \frac{x}{8} \\\\Cross \: Multiply\\4\times x = 3 \: \times 8\\\\4x =24\\\\Divide \:both\:sides \:of\:the\:equation\: by\: 4\\\frac{4x}{4} = \frac{24}{4} \\\\x = 6[/tex]

Answer:

6

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] = [tex]\frac{?}{8}[/tex]

The 4 on the denominator is multiplied by 2 to obtain 8

The same operation must be applied to the numerator to make them equal.

Thus

3 × 2 = 6

[tex]\frac{3}{4}[/tex] = [tex]\frac{6}{8}[/tex] ← are equal fractions

Answer:

The difference between the area of the original triangle and the area of the new triangle is [tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex].

Step-by-step explanation:

The equation for the area of a triangle ([tex]A_{\bigtriangleup}[/tex]) is:

[tex]A_{\bigtriangleup} = \frac{1}{2}\cdot b \cdot h[/tex]

Where:

[tex]b[/tex] - Base, dimensionless.

[tex]h[/tex] - Height, dimensionless.

The expression for each triangle are described below:

First Triangle ([tex]b = 3\cdot x + 7[/tex], [tex]h = 5\cdot x - 1[/tex])

[tex]A_{\bigtriangleup,1} = \frac{1}{2}\cdot (3\cdot x+7)\cdot (5\cdot x -1)[/tex]

Second Triangle ([tex]b = 3\cdot (3\cdot x+7)[/tex], [tex]h = 2\cdot (5\cdot x -1)[/tex])

[tex]A_{\bigtriangleup,2} = 3\cdot (3\cdot x+7)\cdot (5\cdot x -1)[/tex]

The difference between the area of the original triangle and the area of the new triangle is:

[tex]\Delta A_{\bigtriangleup} = A_{\bigtriangleup,2}-A_{\bigtriangleup,1}[/tex]

[tex]\Delta A_{\bigtriangleup} = 3\cdot (3\cdot x+7)\cdot (5\cdot x-1)-\frac{1}{2} \cdot (3\cdot x+7)\cdot (5\cdot x-1)[/tex]

[tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex]

The difference between the area of the original triangle and the area of the new triangle is [tex]\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)[/tex].

Answer:

4

Step-by-step explanation: 4*4 is 16. 4^2 is 16. So the square root of 16 is 4.

Answer:

4

Step-by-step explanation:

4 times 4 = 16, therefore the square root of 16 must be 4

Answer:

65

Step-by-step explanation:

TAB is an isosceles triangle by the point to tangent theorem theorem.

BAT and BAT are congruent because of the isosceles triangle definition.

CAT and ABT are right angles by the tangent theorem.  

Thus, CAB and CBA are both 90 - 65 = 25.

ACB is 130 because triangles' angles add up to 180.

APB is one half of ACB by the inscribed angles theorem.

The measure of the arc APB will be 230°. Then the correct option is D.

What is a circle?

It is the circle of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

We know that the tangents are equal.

Then triangle ΔATB is an isosceles triangle.

Then the angle ∠TAB and angle ∠TBA are congruent.

We know that the angle sum of a triangle is 180°.

∠TAB + ∠TBA + ∠ATB = 180°

               65° + 65° + z = 180°

                                  z = 50°

We know that the radius and tangent of circle make 90°.

And the angle sum of quadrilateral is 360°.

∠TAC + ∠TBC + ∠ATB + ∠ACB = 360°

                   90° + 90° + 50° + y = 180°

                                                y = 130°

Then the measure of the arc APB will be

x = 360° – 130°

x = 230°

The measure of the arc APB will be 230°.

Then the correct option is D.

More about the circle link is given below.

https://brainly.com/question/11833983

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Answer:

[tex]\large \boxed{\text{Q31, D. 6.00 F; 32. C. N21.75; Q33. A. 168.00 F}}[/tex]

Step-by-step explanation:

Your graph is hard to read, so I re-drew it as best I could.

You must first develop an equation relating francs and naira.

The line goes through the origin, so the general equation is

y = kx

One of the points is (40,240).

[tex]\begin{array}{rcl}F & = &k \times N\\240 & = &k \times 40\\k & = & \dfrac{240}{40}\\\\k&=&\textbf{6 F/N}\\\end{array}\\\text{The equation is $\large \boxed{\mathtbf{F = 6 N}}$}[/tex]

Q 31.

[tex]\begin{array}{rcl}F & = &6N\\& = & 6 \times 1.00\\& = & \mathbf{6.00}\end{array}\\\text{The equivalent value of N1.00 is $\large \boxed{\textbf{6.00 F}}$}[/tex]

Q 32.

[tex]\begin{array}{rcl}F & = &6N\\130.5& = & 6 N\\N&=& \dfrac{130.5}{6}\\\\& = & \mathbf{21.75}\\\end{array}\\\text{The equivalent value of 130.5 F is $\large \boxed{\textbf{N21.75}}$}[/tex]

Q 33.

[tex]\begin{array}{rcl}F & = &6N\\& = & 6 \times 28.00\\& = & \mathbf{168.00}\end{array}\\\text{An amount of N28.00 is $\large \boxed{\textbf{168.00 F}}$}[/tex]

Answer:

In the given quadrilateral, two angles measure 60° and other two angles measure 120°.

Step-by-step explanation:

As we know sum of all interior angles of a polygon with 'n' sides is,

Sum of interior angles = (n - 2) × 180°

                                     = (4 - 2) × 180° [for a polygon with n = 4]

                                     = 360°

a + a + 2a + 2a = 360°

6a = 360°

x = 60°

Measure of angles = a° = 60°

And angles having measure = 2a° = 2(60)°

                                               = 120°

Therefore, in the given quadrilateral, two angles measure 60° and other two angles measure 120°.

Answer:

The numbers i and V3 are elements of the set.

Step-by-step explanation:

The rational numbers are those which can be written as fractions. These are the numbers which can be repeating elements and terminating decimals. All integers can be set of rational numbers. The statements which is not true is statement  which states that numbers i and V3 are elements of the set.

Answer:

9^3

Step-by-step explanation:

9x9x9= 729

Answer:

The upper reason is your answer.....

Answer:

10:40

Step-by-step explanation:

3x4 = 12

4 x 4 = 16

5 x 4 = 20

so 10 x 4 = 40 (10:40)

Answer:

10:40

Step-by-step explanation:

Step 1: Reduce ratio to lowest value

3 : 12 = 1 : 4

*Divide by 3

Step 2: Solve ratio

Let 'x' represent the second number

1 : 4 = 10 : x

Multiple the left side by 10

10 : 40 = 10 : x

Therefore the second number in the ratio with 10 is 40

Answer:

1). t ≥ -[tex]\frac{3}{2}[/tex]

2). k ≥ [tex]\frac{16}{3}[/tex]

3). y < -[tex]\frac{1}{2}[/tex]

4). b > [tex]\frac{250}{9}[/tex]

5). w ≤ 0

Step-by-step explanation:

1). [tex]14(\frac{1}{2}-t)\leq 28[/tex]

   [tex]\frac{14}{14}(\frac{1}{2}-t)\leq \frac{28}{14}[/tex]

   [tex]\frac{1}{2}-t\leq 2[/tex]

   [tex]-t\leq 2-\frac{1}{2}[/tex]

   [tex]-t\leq \frac{3}{2}[/tex]

   t ≥ -[tex]\frac{3}{2}[/tex]

2). 15k + 11 ≤ 18k - 5

   15k - 18k ≤ -5 - 11

   -3k ≤ - 16

   3k ≥ 16

     k ≥ [tex]\frac{16}{3}[/tex]

3). 44y > 11 + 88y - 22y

    44y > 11 + 66y

    44y - 66y > 11

    -22y > 11

    22y < -11

    [tex]\frac{22y}{22}<-\frac{11}{22}[/tex]

    y < [tex]-\frac{1}{2}[/tex]

4). [tex]\frac{7}{9}(b - 27) > \frac{49}{81}[/tex]

    [tex]\frac{7}{9}(b - 27)\times \frac{9}{7} > \frac{49}{81}\times \frac{9}{7}[/tex]

     (b - 27) > [tex]\frac{7}{9}[/tex]

     b > [tex]\frac{7}{9}+27[/tex]

    b > [tex]\frac{250}{9}[/tex]

5). 11w - 8w ≥ 14w

    3w - 14w ≥ 0

    -11w ≥ 0

    w ≤ 0

Answer:

x = 85

Step-by-step explanation:

Step 1: Solve x

∠x = 180 - 27 - 68

∠x = 85

Therefore angle x equals 85

Answer:

85 degrees

Step-by-step explanation:

The sum of the angles of a triangle always add up to 180 degrees.

Here, we have two angles already given, so we can write:

27 + 68 + x = 180

95 + x = 180

Subtract 95 from both sides:

x = 180 - 95 = 85

The answer is thus 85 degrees.

~ an aesthetics lover

Answer: 6•(n+6)

Step-by-step explanation:

n is number

can be any letter

Answer:

6(n+6)

Step-by-step explanation:

the product means multiplication so you're going to need to multiply 6 by the number increased by 6. n represents the number, so n increased by 6 would be n+6. the parentheses represent the multiplication. put it together and you get the answer  6(n+6)

Answer:

15,9,3

Step-by-step explanation:

Answer:

96.1826

Step-by-step explanation:

to make that decimal numbers in 4 decimal places, then you count the number at the right hand side after the point, when u get to the 4th digit, you stop, then if the 5th digit is more than 4, they you add 1 to the 4th digit and there u have 96.1826

The Round 96.1825899389 to 4 decimal places will be 96.1826

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We need to Round 96.1825899389 to 4 decimal places.

To make that decimal numbers in 4 decimal places, then we count the number at the right hand side after the point, when u get to the 4th digit.

Therefore, the Round 96.1825899389 to 4 decimal places will be 96.1826

Learn more about rounding numbers  here:

https://brainly.com/question/1285054

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Answer:

Step-by-step explanation:

[tex] \sf{ \frac{1}{3} \times \frac{2}{5} }[/tex]

▪️To multiply one fraction by another , multiply the numerators for the numerator , and multiply the denominators for its denominator.

⇒[tex] \sf{ \frac{1 \times 2}{3 \times 5} }[/tex]

⇒[tex] \sf{ \frac{2}{15} }[/tex]

Hope I helped!

Best regards!

Step-by-step explanation:

1: - 13= 7x + 4 - 4x

Isolate variables.

- 13= 7x + 4 - 4x

-13 = 3x + 4

-3x = 13+4

-3x = 17

x = -17/3

2: - b - 6 + 6b = 27

5b - 6 = 27

5b = 33

b = 33/5

3: - 5(5x - 2) = 65

-25x + 10 = 65

-25x = 55

x = -55/25

x = -11/5

Answer:

x=-1 or 5 or 2

Step-by-step explanation:

x³-6x²+3x+10=0

(x+1)(x-5)(x-2)=0

x+1=0 ⇒ x=-1

x-5=0 ⇒x=5

x-2=0 ⇒ x=2

Answer:

Step-by-step explanation:

To fraction ;

[tex]0.13=\frac{0.13\times \:100}{100}\\\\=\frac{13}{100}[/tex]

To percentage

[tex]\frac{0.13}{1}\times \frac{100}{100}\\ \\= 13/100\\\\= 13\%[/tex]