203 cm
196 cm
Question 1:
The formula to calculate the perimeter of the banner is
(a) 2 (1+ b)
(b) 2xrh + 2A
(c) a + (21 + b)
(d) 2 (1 + b) + ar​

Answer:

There are 24 different correspondences.

Step-by-step explanation:

A one-to-one correspondence means that each element of A can be mapped into only one element of B, and we can't have two or more elements from A mapped into one element from B.

So, to count all the possible combinations, we need to find the number of possible options for each mapping

The first element from A, the 1, can be mapped into any of the four elements of B, so here we have 4 options.

The second element from A, the 2, can be mapped into any of the remaining elements from B, 3 of them (remember that one of the elements of B is taken).

The third element from A, the 3, can be mapped into any of the remaining elements from B, 2 of them now, so here we have 2 options.

The final element from A, the 4, can be mapped into the remaining element from B, so here we have only one option.

The total number of different correspondences (or combinations) is equal to the product between the numbers of options, this is:

Combinations = 4*3*2*1 = 12*2 = 24

There are 24 different correspondences.

Answer:

1. plants

2. together

3. is

4. family

5. talking

6. weeds

7. experience

8. planter

9. on

10. fields

11. too

12. method

13. around

14. react.

Explanation:

The given passage talks about the impact of chemicals on the ecosystem. The speaker narrates how the ecology belongs to plants, animals, and humans, though man seemed intent to destroy it for himself.

The blanks in the given passage are filled with the appropriate words as follows-

Ecology is the study of how (1) plants, animals, and people live (2) together and help each other. But man sometimes forgets he (3) is a part of the (4) family of all living things. Here is an example. A planter is (5) talking about killing (6) weeds on his land. He remembers his first (7) experience with a weedicide. He was a (8) planter then, working (9) on a rubber plantation. He had a problem with weeds. The cost of weeding of the (10) fields by hand was getting (11) too high. So he used a new, cheap, and effective (12) method, good old Sodium Arsenate. He sprayed plenty of this (13) around to kill the weeds. The first thing to (14) react were the frogs.

Answer:

[tex] \frac{13}{2} [/tex]

Step-by-step explanation:

slope of the line that passes thru (5, 3) and (8, A)

[tex] = \frac{a - 3}{8 - 5} \\ \frac{a - 3}{3} [/tex]

the line that is perpendicular to the given line is

6x + 7y + 13= 0

finding the slop of this line :-

[tex]6x + 7y + 13 = 0 \\ 7y = - 6x - 13 \\ y = - \frac{6}{7} x - \frac{13}{7} [/tex]

Comparing with standard equation of a line

y = mx + c

m = - 6/ 7

Since, the two lines are perpendicular to each other the product of their slopes will be - 1

[tex] \frac{a - 3}{3} \times \frac{ - 6}{7} \\ \frac{ - 2(a - 3)}{7} = - 1 \\ - 2a + 6 = - 7 \\ - 2a = - 7 - 6 \\ - 2a = - 13 \\ 2a = 13 \\ a = \frac{13}{2} [/tex]

( canceling the 2 negative signs on both the sides )

Answer:

not defined

Step-by-step explanation:

[tex] {x}^{2} = 56 - 2000 - 15637 \\ {x}^{2} = - 1758[/tex]

Given:

The equation of a line is:

[tex]y=5x+1[/tex]

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

[tex]y=5x+1[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]m=5[/tex]

Slope of the given line is 5.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.

The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-4)=5(x-3)[/tex]

[tex]y+4=5(x)+5(-3)[/tex]

[tex]y+4=5x-15[/tex]

Subtracting 4 from both sides, we get

[tex]y+4-4=5x-15-4[/tex]

[tex]y=5x-19[/tex]

Therefore, the equation of the required line is [tex]y=5x-19[/tex].

Answer:

Step-by-step explanation:

The translation vector < 4, - 2 > means each point is being moved 4 units to the right and 2 units down.

X(0, 3) ------> X' ( 0 + 4, 3 - 2 ) = X'(4, 1)

Y( - 1, 1) ------> Y' ( - 1 + 4, 1 - 2 ) = Y'(3, - 1)

Z( - 3, 4) -----> Z' ( - 3 + 4, 4 - 2 ) = Z'(1, 2)

Answer:

Step-by-step explanation:

27 degrees

Answer:

possibly 11 hours on each which is embarrassing

Answer:

Have you got it now?

Step-by-step explanation:

Answer:

Six

Step-by-step explanation:

10 - 4 = 6

-4 + 10 = 6

Answer:

6

Step-by-step explanation:

[tex] - 4 + 10 = 6[/tex]

6

error = 62-60 = 2°

% = (2×100)/60 = 100/30 = 10/3 = 3.333%

Answer:

2 [tex]ft^{3}[/tex]

Step-by-step explanation:

volume of a cuboid = length * breadth * height

= 2*1*1

=2 [tex]ft^{3}[/tex]

Answer:

The volume of container is 2 ft ³.

Step-by-step explanation:

We have,

We have Formula, Volume of Cuboid.

[tex] \small \sf \mapsto \: Volume = length × breadth × height[/tex]

substitute the values

[tex] \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft[/tex]

multiply the values

[tex] \small \sf \mapsto \: Volume = 2 \: ft {}^{3} [/tex]

Hence, the volume of container is 2 ft ³.

Answer:

Evaluate the expression below when x = 4 and y = -2 *

hii your question is incomplete

can you please recheck once

there is no expression given

Answer:

10

Step-by-step explanation:

given :

length WX ≅ (congruent means equal) length XY

therefore ,  WX = 3

WZ = WX + XZ

WZ = 3 + 7

WX = 10

Answer:

-13

Step-by-step explanation:

Adding a negative means that you subtract the number as + (-) = -

This means that the equation is -4-9=-13.

Answer:

-13

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3

[tex]9 \div 3 = 3[/tex]

The length of the segment BC or preimage of BC was 3 units.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.

From the graph diagram the length of segment B'C' is 9 units.

Therefore, Before the dilation, the length of the segment BC would be

(1/3)×9.

= 3 units.

learn more about transformations here :

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Answer:

720 liters

Step-by-step explanation:

In 2019 (a non-leap year)

January has 31 days

February has 28 days

March has    31 days

The Total number of days is 90 days

Each day shows a consumption rate of 8 liters / day

Total consumption = 8 * 90 = 720

Step-by-step explanation:

the distance between these two points is 11 units

Answer:0.04

Step-by-step explanation:

Answer:

0.04 meters

It's too simple

Step-by-step explanation:

tan < BCA = x/y = 3/18= 0.1667

< BCA = arc tan 0.1667 = 9.464° => 9.46°

Answer:

25.67

Step-by-step explanation:

Look at the thousandth place. If it is 5,6,7,8 or 9 then add 1 to hundredth place. If it is less than 5, then write the hundredth place as it is

25.67

Answer:

Why was Mrs Hallette unhappy when people asked about her son?

Step-by-step explanation:

Answer:

22/33and 14/21

1/3

mark as brainiest please

Answer:

37.854

Step-by-step explanation:

59.73-21.876=37.854

Answer:

[tex]Y= -3x+2[/tex]

Step-by-step explanation:

Slope : [tex] - 3[/tex]

y-intercept = 2

Answer:

positive slope

Step-by-step explanation:

when a graph is sloping to the right it means it has a positive . the gradient of this straight is positive .

gradient of the line is greater than 0

The slope of the line is m = 2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 0 , 1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 3 - 1 ) / ( 1 - 0 )

m = 2

Therefore , the value of m is 2

Hence , the slope is 2

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Answer:

36 pi

Step-by-step explanation:

The radius is 6

A = pi r^2

A = pi 36

Answer:

Area of circle = 36 π square unit

Step-by-step explanation:

To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.

Area of circle = π × r²

where,

substitute the value

Area of circle = π × ( 6 ) ²

expand the exponent

Area of circle = π × 36

multiply

Area of circle = 36 π square unit

Answer:

Jsjsjsjsjwjwksjsjjsisisiwiw

Answer:

[tex]192.27\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of sector with radius [tex]r[/tex] and measure [tex]\theta[/tex] is give by [tex]A=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.

What we're given:

Therefore, the area of the shaded regions (two sectors) is:

[tex]A=2\cdot 9^2\pi\cdot \frac{136}{360}=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}[/tex]