The perimeter of a rectangle is 84cm . It's longest side is 29cm. State the length of the shortest side

Answer:

64 cm ^2

Step-by-step explanation:

you do 2x4x8 to get 64 cm^2

Answer:

64

Step-by-step explanation:

Answer:

a / b = 1/7

b = a x 7

a / c = 4 /1

a = c x 4

b = a x 7

= c x 4 x 7

= c x 28

b is 28 times bigger than c

b is 28 times bigger than c. The conclusion is obtained by rearranging the equations.

A ratio is an ordered pair of integers a and b, expressed as a/b, where b cannot be zero. A proportion is an equation that sets two ratios equal to each other.

The given ratio;

a: b = 1:7

a:c= 4:1

Rearrange the given ratio we obtained;

b = a × 7

a = c × 4

Put the value of a in b get;

b= c × 4 × 7

Hence, b is 28 times bigger than c.

Learn more about the ratio refer:

https://brainly.com/question/14335762

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Answer:

m = 8

n = 9

Step-by-step explanation:

Remark

By similar triangles

(m - 4) /8 = 8 / 2m             Cross multiply

2m(m - 4) = 64                  Expand the left

2m^2 - 8m = 64                Divide through by 2

m^2 - 4m = 32                   Subtract 32 from both sides.

m^2 - 4m - 32 = 0             Factor

(m - 8)(m + 4) = 0

m + 4 has no meaning in geometry. - numbers cannot be distances.

m - 8 = 0

m = 8

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

By the same kind of similar triangles used in problem A we get

7 / x = x / 9

x^2 = 63

Just leave this as it is. We'll solve this by the Pythagorean Theorem.

x^2 + 9^2 = (n + 3)^2

63 + 81 = (n + 3)^2

144 = (n + 3)^2                   Take the square root of both sides

12 = n + 3                           Subtract 3 from both sides.

9 = n

Answer:

24 degree's

Step-by-step explanation:

Answer:

[tex]y = -\frac{1}{4} + \frac{11}{2}[/tex]

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

[tex]6 = -\frac{1}{4}(-2) + b[/tex]               multiply [tex]-\frac{1}{4}[/tex] and 2

[tex]6 = \frac{1}{2} + b[/tex]                         subtract [tex]\frac{1}{2}[/tex] from both sides

[tex]b = \frac{11}{2}[/tex]

now we plug m and b into the equation and leave x and y as variables to get the final equation:

[tex]y = -\frac{1}{4} + \frac{11}{2}[/tex]

Answer:

1 ÷ 11

Step-by-step explanation:

The computation is shown below:

let us assume the yellow cubes be x

So, blue cubes be 2x

And, green cubes be 2x (4) 8x

Now the ratio is

Yellow: Blue: green

x:2x:8x

1:2:8

Now the probability of yellow cubes is

= 1 ÷ (1 + 2 + 8)

= 1 ÷ 11

Answer:

x = 6

Step-by-step explanation:

Answer:

y= -1

Step-by-step explanation:

Answer:

The answer would be y= -1

Step-by-step explanation:

When we have a number outside the parenthesis we do the rainbow method where we multiply the number on the outside of the parenthesis to the numbers inside the parenthesis so

-4*y= -4y and -4*-2=8

-4y+8=12

-4y=4

y=-1

Answer:

40 dollars the answer is 40!!!

Answer: No solution because both the y and x cancel each other out so it would be 0=12

Answer:

Step-by-step explanation:

this system has no solutions,

we divide first equation by 4

x-4y=2

x-4y=4

4 not equal to 2

Answer:

730

Step-by-step explanation:

its very simple

960-230=730

hope you are happy now :)

Answer:

730 ml

Step-by-step explanation:

960-230= 730.

Answer:

Congruent.

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

100; it represents the per-second fee of air time

Given:

In a parallelogram ABCD, AB=(9x-14) inches and DC=(3x+4) inches.

To find:

The measure of DC.

Solution:

We know that opposite sides of a parallelogram are equal.

In the parallelogram ABCD, AB and DC are opposite sides. So,

[tex]AB=DC[/tex]

[tex]9x-14=3x+4[/tex]

[tex]9x-3x=14+4[/tex]

[tex]6x=18[/tex]

Divide both sides by 6.

[tex]x=\dfrac{18}{6}[/tex]

[tex]x=3[/tex]

Now,

[tex]DC=3x+4[/tex] inches

[tex]DC=3(3)+4[/tex] inches

[tex]DC=9+4[/tex] inches

[tex]DC=13[/tex] inches

The measure of DC is 13 in.

Therefore, the correct option is C.

Answer:

13in

Step-by-step explanation:

Answer:

A) is 220 because this is the inital value or principle.

B)The population is increasing.

C)The population will reach 280 wolves by the 5th  year

Step-by-step explanation:

C) y=220(1.05)^x  when x=5 it is 280.78

Answer: 1x+2y= 8

I think

Answer:

Step-by-step explanation:

The value of y is given in equation 2

Putting value of y = 3x in equation 1

Y = - x + 4

3x = - x + 4

Bringing like terms on one side

3x + x = 4

4x = 4

x = 4/4 = 1

Now putting value of x = 1 in equation 2

Y = 3x

Y = 3(1) = 3

Answer:

f i think?

Step-by-step explanation:

Answer:

[tex]175[/tex] meter is  difference in height between the submarine and the aircraft

Step-by-step explanation:

The height of aircraft above the surface [tex]= 150[/tex] meter

Depth at which the submarine lies below the surface [tex]= 25[/tex] meter

Depth at which the underwater robotic vehicle  below the surface [tex]= 186[/tex] meter

Difference in height between the submarine and aircraft is equal to

[tex]25 +150 = 175[/tex] meter

Answer:

Step-by-step explanation:

d

Answer:

C

Step-by-step ex

Given:

The inequality is

[tex]3|p+4|+5<8[/tex]

To find:

The solution set for the given inequality.

Solution:

We have,

[tex]3|p+4|+5<8[/tex]

[tex]3|p+4|<8-5[/tex]

[tex]3|p+4|<3[/tex]

Divide both sides by 3.

[tex]|p+4|<1[/tex]

It can be written as

[tex]-1<p+4<1[/tex]

Subtracting 4 from each side, we get

[tex]-1-4<p+4-4<1-4[/tex]

[tex]-5<p<-3[/tex]

The solution set of the given inequality is (-5,-3).

Therefore, the correct option is A.

Answer:

l = 40 m and b = 30 m

Step-by-step explanation:

Let the length and breadth of a rectangle be 4x and 3x.

We know that,

The perimeter of a rectangle is given by :

P = 2(l+b)

140 = 2(4x+3x)

70 = 7x

x = 10

Length, l = 4x = 4(10) = 40 m

Breadth, b = 3x= 3(10) = 30 m

So, the length and breadth of a rectangle are 40 m and 30 m respectively.

Answer:

its b as the variables have no values

Answer:

235

Step-by-step explanation:

94% of 250 is 235. To get 235, you can simply multiply 250 by .94

Answer:

c)12.6 inches

the ans in cm is 31.9 cm

Answer: 7ft

Step-by-step explanation:

The shape is a trapezium

Area of Trapezium= (1/2)(a+b)(h)

Area of Trapezium= 40sqft

a= x

b= 9ft

h= 5ft

40= (1/2)(x+9)(5)

40= (5(x+9)/2)

Cross multiply

80= 5(x+9)

80= 5x + 45

5x= 80-45

5x= 35

Divide both sides by 5

x= 7

Answer:

Point Form:

( − 9 , 9 )

Equation Form:

x = − 9 , y = 9