if the length of a rectangle is 3 times of its breadth and perimeter is 96 cm find the length and breadth of the rectangle​

Answer:

The answer should be B) T = 4.5n

Step-by-step explanation:

Answer:

B. T = 4.5n

Step-by-step explanation:

4.5 * n (the number of tickets sold) = T (Total money the school makes from the ticket money)

Answer:

13

Step-by-step explanation:

13

The break even point for this bookstore is n = 13.

Break even point is the point where the total revenue and total cost are equal to each other. That is, person does not suffer from loss or does not acquire profit.

Given that,

Cost for the bookstore for a day to keep open = $78

Cost for each book = $14

Let n denote the number of books made or sold in a day.

Then total cost for n books = 78 + 14n

Selling price for each book = $20

Revenue from n books = 20n

Break even point is the point when,

Total revenue = total cost

20n = 78 + 14n

6n = 78

n = 13

Hence the break even point for the store is n = 13.

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The dependent variable responds to variations in the separate variable manipulated during the experiment. It allows you to understand whereas if changes involved possess or are not significantly linked or whether they are because of certain factors.

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Answer:

95/28

Step-by-step explanation:

Answer and Step-by-step explanation:

To solve for r, we need to get everything away from r. We can start off by moving five thirds, and pi.

[tex]x = \frac{5}{3} \pi r^{3}[/tex]

Multiply each side by [tex]\frac{3}{5}[/tex], then divide by [tex]\pi[/tex] (pi)

[tex]\frac{3x}{5\pi } = r^{3}[/tex]

Now, take the cubed root of both sides.

[tex]\sqrt[3]{\frac{3x}{5\pi } } = r[/tex]

^^ That is the answer.

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Answer:

Choice B

Step-by-step explanation:

Divide 3 by 36.75

The result is 12.25

Answer:

x2+4x+4 factored = (x+2)(x+2)

x2−3x−28 factored = (x+4)(x−7)

Step-by-step explanation:

Answer: is the first equation. A

9514 1404 393

Answer:

Step-by-step explanation:

Where a transversal crosses parallel lines, the angles outside the parallel lines are called exterior angles. When they are on opposite sides of the transversal, they are alternate exterior angles.

Alternate exterior angles are congruent.

The share a side (the transversal, but not a vertex. So they are non-adjacent.

_____

Additional comment

In this geometry, corresponding angles are congruent. Of course, vertical angles are always congruent. Each alternate exterior angle is a vertical angle with one that is corresponding to the other alternate exterior angle.

a) 50

b)12/6

.......................

Step-by-step explanation:

g=m+13

g+m=113

use substitution

Answer:

50 years old

Step-by-step explanation:

Let's say that Mikhail's age is x.

If so, Gabrielle's age would be 13 years older, therefore x + 13

We know that the sum of their ages is 113, so we can form this equation:

x + x + 13 = 113

Solving this equation, we get:

x + x = 100

2x = 100

x = 50

50 is Mikhail's age, so Gabrielle's age is 63

Answer:

a) [tex]x_{1} = \frac{\pi}{3}\,rad[/tex], [tex]x_{2} = \frac{5\pi}{3}\,rad[/tex], b) [tex]x_{1} = \frac{\pi}{4}\,rad[/tex], [tex]x_{2} = \frac{3\pi}{4}\,rad[/tex], [tex]x_{3} = \frac{5\pi}{4}\,rad[/tex], [tex]x_{4} = \frac{7\pi}{4} \,rad[/tex]

Step-by-step explanation:

a) We proceed to solve the expression by algebraic and trigonometrical means:

1) [tex]3\cdot \sec x + 2 = 8[/tex]

2) [tex]3\cdot \sec x = 6[/tex]

3) [tex]\sec x = 2[/tex]

4) [tex]\frac{1}{\cos x} = 2[/tex]

5) [tex]\cos x = \frac{1}{2}[/tex]

6) [tex]x = \cos^{-1} \frac{1}{2}[/tex]

Cosine has positive values in first and fourth quadrants. Then, we have the following two solutions:

[tex]x_{1} = \frac{\pi}{3}\,rad[/tex], [tex]x_{2} = \frac{5\pi}{3}\,rad[/tex]

b) We proceed to solve the expression by algebraic and trigonometrical means:

1) [tex]6\cdot \cos^{2} x = 3[/tex]

2) [tex]\cos^{2} x = \frac{1}{2}[/tex]

3) [tex]\cos x = \pm\frac{\sqrt{2}}{2}[/tex]

4) [tex]x = \cos^{-1} \left(\pm \frac{\sqrt {2}}{2} \right)[/tex]

There is one solution for each quadrant. That is to say:

[tex]x_{1} = \frac{\pi}{4}\,rad[/tex], [tex]x_{2} = \frac{3\pi}{4}\,rad[/tex], [tex]x_{3} = \frac{5\pi}{4}\,rad[/tex], [tex]x_{4} = \frac{7\pi}{4} \,rad[/tex]

Answer:

C) diagonal = 5√2

Step-by-step explanation:

diagonal² = 5² + 5²

diagonal² = 50

diagonal = √50

diagonal = √25x2

diagonal = 5√2

Answer:

C) diagonal = 5√2

Step-by-step explanation:

diagonal² = 5² + 5²

diagonal² = 50

diagonal = √50

diagonal = √25x2

diagonal = 5√2

Answer:

the correct answer will be b/c

Answer:

4 feet

Step-by-step explanation:

hope this helps!!

Answer:

4ft

Step-by-step explanation:

Answer:

sorry i need this for a challenge.

Step-by-step explanation:

Answer:

Scale factor = 2.5

Step-by-step explanation:

The scale factor that was applied = length of the resulting image ÷ length of the first rectangle

Length of resulting image = 7.5

Length for first rectangle = 3

Scale factor = 7.5/3 = 2.5

Answer:

12u + 6

Step-by-step explanation:

Answer:

distance between two cars in a straight line = 4.12 miles

Step-by-step explanation:

The North and East make a right angle and if you make a straight line between the two cars you will make a right angled triangle.

Now we can use Pythagoras theorem to calculate the distance between two cars in a straight line.

p = 1

b = 4

h = ?

Using Pythagoras theorem

h² = p² + b²

h² = 1² + 4²

h² = 1 + 16

h² = 17

h = sqroot (17)

h = 4.12 miles

The distance between two cars is 4.12 miles.

Given that, two cars leave the same parking lot, with one heading north and the other heading east.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

The northbound car has traveled 1 mile = x=1 mile

The eastbound car has traveled 4 miles =y=4 mile

Let the distance between two cars be z

Using Pythagoras theorem, we get

z²=x²+y²

⇒ z²=1²+4²

⇒ z²=17

⇒ z=√17

⇒ z=4.12 miles

Therefore, the distance between two cars is 4.12 miles.

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Hii!

=(x+y)+(3x-2y)

=(x+3x) + (y-2y)

= 4x- y

Hope it helps:)

Answer:

89.62

Step-by-step explanation:

Look at the 3rd place of decimals - this is 6  so we add one to the second place.

i tryed my best

The decimal number rounded to 2 decimal places is 89.62

Given data:

The decimal number is represented as 89.6162

To round 89.6162 to two decimal places, we look at the third decimal place.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Since the digit in the third decimal place is 6, which is greater than or equal to 5, we round up the second decimal place.

Hence, rounding 89.6162 to two decimal places, the number is 89.62

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Answer:

a. 11.6 (rounded to nearest tenth)

b. Yes

Step-by-step explanation:

a²+b² = c²

6²+10² = c²

36²+100 = c²

136 = c²

√136 = √c²

11.6  = c

b. because 11.6 is the hypotenuse (longest side length) and there is 6 and 10 as the shorter leg lengths.

Answer:

f(x) = cos(x)

Step-by-step explanation:

tanx cscx = (sinx/cosx) * (1/sinx) = 1/cosx

1/f(x) = 1/cosx

f(x) = cos(x)

The given trigonometric equation in terms of sine and cosine​ is f(x)=cosx.

The given trigonometric function is tanx·cscx= 1/f(x).

A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.

We know that, tanx = sinx/cosx and cscx=1/sinx

Now, 1/f(x) = tanx·cscx

= sinx/cosx × 1/sinx

= 1/cosx

So, 1/f(x) = 1/cosx

Take inverse on both the side of equation, we get

f(x)=cosx

Hence, the given trigonometric equation in terms of sine and cosine​ is f(x)=cosx.

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Answer:

[tex]n \ge 4[/tex]

Step-by-step explanation:

Given

A number is at least 4

Required

Write as inequality

Let the number be n

So, we have:

n is at least 4

In inequalities, at least means [tex]\ge[/tex]

So, the expression becomes

[tex]n \ge 4[/tex]

Answer:

6 faces.

Step-by-step explanation:

A cube has 6 square faces. 2 for the up and down, 2 for the front and backk and 2 on the left and right.