a flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is 4 mph, what is the speed of the flying carpet in the air?

Answer: 8 and 7

Step-by-step explanation:

8 multiplied by 7 equals 56

8+8+7+7 equals 30 which is the perimeter

:)

The dimensions of the rectangle whose perimeter is 30 meters and whose area is 56 square meters are 7 meters and 8 meters.

The area of a surface is the total space occupied by the two-dimensional cross-section.

The perimeter of an object is the total length of its boundary.

We are asked to find the dimensions of a rectangle whose perimeter is 30 meters and whose area is 56 square meters.

Let the length and breadth of the rectangle be l meters and b meters respectively.

We know that,

Perimeter of a rectangle = 2(length + breadth) = 2(l + b)

∴ 30 = 2(l + b)

or, 2(l + b) = 30

or, l + b = 15

or, b = 15 - l ...(i)

We know that,

Area of a rectangle = length*breadth = l*b

∴ 56 = l*b

or, l*b = 56

Substituting the value of b = 15 - l from (i) in the above equation, we get:

l(15 - l) = 56

or, 15l - l² = 56

or, l² - 15l + 56 = 0

or, l² - 8l - 7l + 56 = 0

or, l(l - 8) -7(l - 8) = 0

or, (l - 7)(l - 8) = 0

By zero-product law,

Either l - 7 = 0 ⇒ l = 7

Or, l - 8 = 0 ⇒ l = 8.

Substituting these values of l in (i),

b = 15 - l

∴ Either, b = 15 - 7 = 8

Or, b = 15 - 8 = 7.

In both cases, the dimensions of the rectangle are 7, and 8.

∴ The dimensions of the rectangle whose perimeter is 30 meters and whose area is 56 square meters are 7 meters and 8 meters.

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Answer:

Right scalene triangle

Acute equilateral triangle

Step-by-step explanation:

For the first triangle, we will use the Converse of the Pythagorean Theorem:

If c² < a² + b², then it means that it is an acute triangle.

If c² = a² + b², then it means that it is a right triangle.

If c² > a² + b², then it means that it is an obtuse triangle.

For the first triangle, let c = 25 yd, a = 7 yd, and b = 24 yd

c² = a² + b²

25² = 7² + 24²

625 = 49 + 576

625 = 625 (True statement).

Therefore, the first triangle is a right triangle. At the same time, each angle have different measures, making it a scalene triangle.  Therefore, the first triangle is an example of a right scalene triangle.  

For the second triangle, since all sides are equal, it doesn't matter which side we label as a, b, or c.

Let's see which type of triangle it is according to its sides:

c² = a² + b²

32² = 32² + 32²

1024 < 2048  

Therefore, it is an acute triangle. At the same, the second triangle has equal sides, making it an equilateral triangle. Therefore, the second triangle is an example of an acute equilateral triangle.

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Answer: 15 minutes

Step-by-step explanation:

4 stamping machines in factory

1 stamping machine = 24 parts every 20 seconds

4 stamping machines = 96 every 20 seconds

4 stamping machine = 288 stamps per minute

4320 stamps divided by 288 cuts = 15 minutes

Answer:

0.131kg is the average.

Step-by-step explanation:

Divide 1.572 (total weight) by 12 (amount of sticks)

Answer:

√36<√26>√25

Step-by-step explanation:

please mark me as brainlest

Answer: 270 inches squared

Answer:

and hello

okkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:

23/6

Step-by-step explanation:

23

6

Answer:

Step-by-step explanation:556

Answer:

sorry need ko po ng points

Answer:

Step-by-step explanation:

The given triplets are (16,63,65) . Let us assume 16 as the smallest even number, then it should be equivalent to 2m . From the above result we can say that triples (16,63,65) is a Pythagorean triplet. The given triplets are (24,144,145)

Answer:

below

Step-by-step explanation:

Each column represent the number of packages of pencils and the total number of pencils you would have.

So column 1 says 1/2 package of pencils and there are 24 pencils in that package so you have 12 pencils total not 24 like it says.

Column 2 says 1 package of pencils.  Since there are 24 pencils in a package, now you would have 24 pencils total.

Column 3 says 3 packages.  3 x 24 = 72 pencils total

Column 4 says 4 packages.  4 x 24 = 96 pencils total

Colum 5 says 6 1/2 packages.  6 x 24 = 144 and you know 1/2 of a package equals 12.  So 144 + 12 = 156 total pencils.

Answer:

21=121-2=11

Step-by-step explanation:

do step by step.

Answer:

I dont think this question is formated correctly. i does not equal to -1. However, If you are wondering about i^-3. it is -i. Otherwords it is D. Hope this helped.

Answer: Pretty sure it's A

Step-by-step explanation: If you find the square root of 282 you get 16.7

Answer:

It is A

Step-by-step explanation:

It is A because you need to take the square roots of every number the square root of 282 is 16.7985562

Answer:

Elliot is incorrect

Step-by-step explanation:

Let's take an example: 2

Absolute value of 2 = |2| = 2

But the opposite of 2 = -(2) = -2

But 2 ≠ 2, so Elliott is incorrect.

The opposite of a number changes the sign from - to +, or + to -. Absolute value changes the sign of a number from - to + and keeps + as +.

-Chetan K

Answer:

No

Step-by-step explanation:

The absolute value of a number is the distance from 0. Distance is always positive, so the absolute value of a number is that number but positive. Thus, the absolute value of |2| is still 2. However, the opposite of a number is that number on the opposite side of 0. Therefore, the opposite of 2 is -2. To find the opposite of a number just flip the sign.

So, these are different because the absolute value is always positive while the opposite can be either sign.

Answer:

1x a other b

Step-by-step explanation:

simple

The equivalent expression is 7x - 2(1.3x + 3.5) = 5.4x - 7 and non-equivalent expression is 8 - 4(-2.2x + 1.1) = 8.8x + 12.4 .

A linear expression only has one or two variables. No variables in a linear expression is raised to power greater than 1 or used as denominator of a fraction.

Now the given expressions are,

7x - 2(1.3x + 3.5) = 5.4x - 7   ....(i)

and,

8 - 4(-2.2x + 1.1) = 8.8x + 12.4     .....(ii)

Taking equation (i)

7x - 2(1.3x + 3.5) = 5.4x - 7

So, LHS = 7x - 2(1.3x + 3.5)

⇒  LHS = 7x - 2.6x + 7

or, LHS = 5.4x + 7

⇒ LHS = RHS

So these expressions are equivalent.

Taking equation (ii),

8 - 4(-2.2x + 1.1) = 8.8x + 12.4

So, LHS = 8 - 4(-2.2x + 1.1)

⇒ LHS = 8 - 8.8x - 4.4

⇒ LHS = -0.8x - 4.4

⇒ LHS ≠ RHS

So these expressions are not equivalent.

Thus, the equivalent expression is 7x - 2(1.3x + 3.5) = 5.4x - 7 and non-equivalent expression is 8 - 4(-2.2x + 1.1) = 8.8x + 12.4.

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Answer: -8x +6

Step-by-step explanation:

- 3x +4 - (5x -2)

-3x +4 - 5x + 2

-8x + 6

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Answer:

-8x-6

Step-by-step explanation:

Answer:

Amy

Step-by-step explanation:

Answer:

uh ew what is your pfp also its C

Answer: 1134 inches cubed

Domain is the x values and range is the y values.

Domain: (-5,-4, 0,1,3,4)

Range: ( 0,1,2,3,5)

Answer: angle of w is 115 degrees and angle of y is 65 degrees.

Step-by-step explanation: in the picture.

Answer:

angle W and angle y are supplementary

that is angle W + angle Y = 180°

angle w = 5x + 20

angle y = 4x - 11

putting this value in above equation

we get

5x + 20 + 4x - 11 = 180

5x + 4x + 20 - 11 = 180.

9x + 9 = 180

9x = 180 - 9

9x = 171

x = 19

angle W= 5x + 20

= 5(19)+ 20

= 95 + 20

= 115°

angle y = 4x - 11

= 4(19) - 11

= 76 - 11

= 65

Answer: yes

Step-by-step explanation: 14*12*5=840

the formula for volume is Lenght*widht*height

Answer:

volume of a rectangular prism (v) = 64 cm³

Length (l) = 8 cm

width (w) = 4 cm

height (h) = ?

volume of a rectangular prism = Length × width × height

[tex]v = lwh \\ \\ h = \frac{v}{lw} \\ \\ h = \frac{64 \: {cm}^{3} }{8 \: cm \times 4 \: cm} = \frac{64 \: {cm}^{3} }{32 \: {cm}^{2} } \\ \\ \\ h = 2 \: cm[/tex]

I hope I helped you^_^

Answer:

Step-by-step explanation:

The answer is c the solution will be positive because there are two negative signs

Answer:

Now, the Lowest Common Multiple (LCM) of 55 & 77 is :

Answer:

40%

Step-by-step explanation:

362.5 = 100% (1).

x = 40% (2).

(362.5%)/(x%) = 100/40

x%/362.5% = 40/100

x = 145

Hope this helps.

Answer:

Step-by-step explanation: