Work out the area of a rectangle with base, b = 34mm and perimeter, P = 86mm.​

Answer:

The passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.

Step-by-step explanation:

First, we need to find the weight (W) of the 4 bags:

[tex] W = 3.5 kg + 15 kg + 2 kg + 1.5 kg = 22 kg [/tex]

Now, knowing that the maximum allowed (M) is 20 kg the excess weight of the luggage is:

[tex] W_{e} = W - M = 22 kg - 20 kg = 2 kg [/tex]

We can express the excess weight in percentage as follows:

[tex] \% W_{e} = \frac{W_{e}}{M} \times 100 = \frac{2 kg}{20 kg}\times 100 = 10 \% [/tex]  

Therefore, the passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.          

I hope it helps you!                      

Answer: the root of 145 so b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use the Pythagorean theorem:

a^2 + b^2 = c^2

9^2 + 8^2 = c^2

81 + 64 = c^2

144 = c^2

[tex]\sqrt{144}[/tex] = c

Remember, C is always the hypotenuse, or the longest side. A and B can be either base.

Answer:

you nepali me nepali all are nepalese nepalese are only unintelligent

Answer:

the answer is a 4 x d = 24 I think

Answer:

The length of each ribbon is 1.6 inches

Step-by-step explanation:

From the question, we are told that:

Kenedi has a piece of ribbon that measures 24 inches long. She cuts the ribbon into 15 equal pieces to attach to her dance costume

Hence, the expression that can be used to show how to calculate the length of each piece of ribbon is given as:

24 inches ÷ 15 pieces

= 24 ÷ 15

= 1.6 inches

Therefore, the length of each ribbon is 1.6 inches

This value is approximate.

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

Work Shown:

area = 0.5*side1*side2*sin(included angle)

area = 0.5*AB*AC*sin(A)

area = 0.5*11*18*sin(55)

area = 81.0960523846101

area = 81.1 cm^2

The cm^2 refers to "square cm".

Notice that the angle must be between the two sides, hence the "included".

Answer:

8 : 27

Step-by-step explanation:

The ratio of the volumes is the ratio of the scale factor cubed

2^3 : 3^3

8 : 27

Answer:

8 : 27

Step-by-step explanation:

Given 2 similar cylinders with height ratio = a : b , then

ratio of volumes = a³ : b³

Here height ratio = 2 : 3

ratio of volumes = 2³ : 3³ = 8 : 27

Answer:

Correct Answer: A.

Step-by-step explanation:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

Answer : B

Step-by-step explanation:

Ape

The statement which is true is  KM = 2 .JM, the correct option is C.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

AJKL is an equilateral triangle

Now,

Using these properties, we can eliminate some of the options.

Option A is false because JK and KM are not equal. JK is half of JL, which is one side of the equilateral triangle AJKL, while KM is a perpendicular bisector of JL.

Option B is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 90 degrees.

Option D is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 45 degrees.

Option C must be true because KM bisects JL into two equal parts JM and ML. Since JL is one side of the equilateral triangle AJKL, we have JL = AK = AL. Therefore, JM = ML = JL/2 = AK/2 = AL/2. By Pythagoras’ theorem, we have:

KM^2 = AK^2 - AM^2

KM^2 = (AK/2)^2 - (AL/4)^2

KM^2 = (AK/4)^2 + (AL/4)^2

KM^2 = ((AK + AL)/4)^2

Since AK + AL = 2 * JL,

KM^2 = (JL/4)^2 * 4

KM^2 = (JL/4)^2 * 4

KM = JL/4 * 2

KM = JL/2

Therefore, the answer of the triangle will be KM = 2 * JM.

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Answer:

[tex]{ \bf{perimeter = 2(length + width}} \\ \\ { \tt{28 = 2((x + 2) + (x + 6))}} \\ \\ 14 = 2x + 8 \\ 2x = 6 \\ { \tt{x = 3}}[/tex]

x = 3

Perimeter of rectangle = 2 ( l + b )

Where, we have

substitute the values

28 cm = 2 ( ( x + 2) + ( x + 6 ))

combine like terms

distributing 2 through parantheses

subtract 16 from both side

divide both side by 4

Answer:

No Solution

Step-by-step explanation:

because both of them have same gradient or slope.

we can say that those linear equations are parallel

Answer:

ok so if they are congreant that mean the

x=38

Answer:

38

Step-by-step explanation:

Because both x and the 38° can create a linear pair with the same angle, they must be equal. Linear pairs are equal to 180°

Name the bottom angle C.

X + C = 180   (linear pair)

38 + C = 180 (linear pair)

X + C = 38 + C Subtract C from both sides

X = 38

Answer:

6+2x=16-x.

Step-by-step explanation:

X will represent the missing number. Sum means 6, twice that number means multiply it by two, equal represents =, minus represents this, therefor the equation 6+2x=16-x represents the correct answer.

Answer:

I'm not sure what you mean by "O A. 3 O B. v O C. VE OD. 6", if that's just options for answers or something, But the side length opposite of the 60° angle would be 3.

Answer:

½

Step-by-step explanation:

the scale factor of dilation = 6/12 = ½

Answer:

1.2

Step-by-step explanation:

We want to find the y value when x = -6

When x = -6, y = 1.2

Answer:

Step-by-step explanation:

The diagonals of a rhombus divides it into four congruent right triangles.  Each triangle is a mirror image of the adjacent.

Therefore angle 2 is the alternate interior angle of 57°, and angle 3 is the mirror image, so also 57°.

Angles 1 is the complement of angle 3, and angle 4 is equal to the complement of angle 2 , so both equal 90-57 = 33°.

To summarize,

angle 1 = 33°

angle 2 = 57°

angle 3 = 57°

angle 4 = 33°

Answer:

3.78 × [tex]10^{2}[/tex] = 378

Step-by-step explanation:

Answer:

A. [tex](-1,-2)[/tex]

Step-by-step explanation:

Hope this helps you.

( -4, 1 ) and ( 2 , -5 )

Now,

mid point = ( 2 - 4 )/2 , ( -5 + 1 )/2

= ( -2 /2 ) , ( -4 /2)

= ( - 1, - 2 )

A ( - 1, - 2 )

I hope it's help you...

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Answer:

[tex]6x + 6[/tex]

Step-by-step explanation:

a linear expression is the form

[tex]y = mx + b[/tex]

Answer:

f(2) = 0 and g(-2) = 0

Step-by-step explanation:

0.8 is the slope of the line M'N'.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

So, the coordinates of M' are (0.82, 0.84) = (1.6, 3.2), and the coordinates of N' are (0.83, 0.85) = (2.4, 4).

Now, we can find the slope of line M'N' using the slope formula:

slope of M'N' = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (1.6, 3.2) and (x2, y2) = (2.4, 4).

slope of M'N' = (4 - 3.2) / (2.4 - 1.6)

the slope of M'N' = 0.8

Therefore, the slope of line M'N' is 0.8.

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Answer:

10

The mean would increase after the outlier is removed

Step-by-step explanation:

An outlier in a dataset is a number that differs significantly from the other data in the set.

In this question, 10 is the number that differs significantly from the other data in the set. Thus, it is the outlier.

Mean = sum of the numbers / total number

Mean including the outlier =  

(93+ 82  + 10  + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 10 = 78.6

Mean without the outlier =

(93+ 82   + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 9 = 86.2

the mean increased after the outlier was removed

Answer:

degrees of 5 or greater

Step-by-step explanation:

peaks counted are 5

Answer:

Option (1)

Step-by-step explanation:

Equation of the given wave function,

f(x) = acos(bx)

Here, a = amplitude of the wave

Period of the wave = [tex]\frac{2\pi }{B}[/tex]

From the graph attached,

Amplitude = [tex]\frac{4-(-4)}{2}[/tex]

                 = [tex]\frac{4+4}{2}[/tex]

                 = 4

Period of the wave = π - 0

                                = π

From the formula of the period,

Period = [tex]\frac{2\pi }{b}[/tex]

[tex]\pi =\frac{2\pi }{b}[/tex]

b = 2

Therefore, a = 4 and b = 2.

Option (1) will be the answer.

Answer:

[tex]V=83.73\ in^3[/tex]

Step-by-step explanation:

The capsule is in the shape of two hemispheres and cylinder.

The volume of the container = volume of two hemispheres + volume of cylinder

The radius of the container, r = 2 in

Height of the cylindrical part, h = 8 in - 4 in = 4 in

So,

[tex]V=2\times \dfrac{2}{3}\pi r^3+\pi r^2 h\\\\=\dfrac{4}{3}\pi r^3+\pi r^2 h\\\\V=\pi r^2 (\dfrac{4}{3}r+h)[/tex]

Put all the values,

[tex]V=3.14\times 2^2 (\dfrac{4}{3}\times 2+4)\\\\V=83.73\ in^3[/tex]

So, the volume of the container is equal to [tex]83.73\ in^3[/tex].

Answer:

# of 20cent stamps = 8

Step-by-step explanation:

Let the  number 20cent stamps be = x

Let the number 60 cents stamps be = y

Total number of stamps => 20 = x + y ----------- ( 1 )

Total cost of the stamps = 8.80

That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )

      ( 2 ) => 20x + 60y = 880

            => x + 3y = 44

           =>  x = 44 - 3y

Substitute x in  ( 1 ) => x  +  y = 20

                                 44 - 3y + y = 20

                                     - 2y = 20 - 44

                                     - 2y = - 24

                                       2y = 24

                                       y = 12

Substitute y = 12 in  ( 1 ) => x + y = 20

                                         x + 12 = 20

                                            x = 8

Answer:

first one

Step-by-step explanation:

a + b = c

subtract a from both sides

b = c - a

or

c - a = b

[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]a + b = c[/tex]

[tex]⇢ b = c - a[/tex]

[tex]⇢ c - a = b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

93.4 cm²

Step-by-step explanation:

Area of the shaded region = area of the square - area of half of the circle

Area of the shaded region = s² + ½(πr²)

Where,

r = 6.2 cm

s = length of square = diameter of circle = 2*r = 2*6.2

s = 12.4 cm

Plug in the values

Area of the shaded region = 12.4² - ½(π × 6.2²)

= 153.76 - 60.381411

= 93.378589

≈ 93.4 cm² (nearest tenth)