Special right triangles.
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The correct solutions for this question are as:

(A) Bearing of B from A = 72°

(B) Bearing of B from C = 342°

(C) Bearing of A from B = 252°

(D) Bearing of A from C = 293°

Step by step solution:

(A) Bearing of B from A:

= 72° (Given in question)

(B) Bearing of B from C: = 342°

Solution:

As sum of co-interior angles is 180° , i.e.  ∠NBC +∠NCB =180°

so, 162° + ∠NCB = 180°

     ∠NCB = 180°-162°

     ∠NCB = 18°

reflexive angle NCB =360° - ∠NCB

reflexive angle NCB = 360° - 18°

reflexive angle NCB = 342°

So, bearing of B from C: = 342°

(C) Bearing of A from B: = 252°

Solution:

First extend the line AB to any point (let's say "X")

So, ∠NBX = 72°   [BY USING CORRESPONDING ANGLES]

Bearing of A from B = ∠NBX + 180°

Bearing of A from B =72° + 180°

Bearing of A from B =252°

(D) Bearing of A from C: = 293°

Solution:

Bearing of A from C= 360° - (∠BCA + ∠BCN)

Bearing of A from C= 360° - (49° + 18°)

Bearing of A from C= 360° - (67°)

Bearing of A from C= 293°

Important Points for "Bearing of Angles":

A bearing is an angle that is calculated clockwise from the north. A traverse should be regarded as anticlockwise unless differently stated or obvious from the bearings.

The angle between two lines cannot be directly read using a regular compass. By tracking the two lines bearings away from their point of confluence, the angles can be found.

Two angles—an inner angle and an exterior angle—are created when the two lines converge at a place. These two angles add up to a 360° angle.

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Answer:

They can be seated in 10,080 ways.

Step-by-step explanation:

Arrangements of n elements:

The number of possible arrangements of n elements is given by:

[tex]A_n = n![/tex]

In this question:

In each end, the two admirals, so 2 possible outcomes.

In the middle seats, arrangements of 7 elements(3 generals, 4 lieutenants). So

[tex]2A_{7} = 2*7! = 10080[/tex]

They can be seated in 10,080 ways.

The number of ways they can be seated is 10,080 ways.

The number of possible ways fof arranging n elements is given as:

P = n!

According to the question, there are 2 admirals! 3 generals and 4 lieutenant.

In each end, the two admirals, so 2 possible outcomes.

In the middle seats, arrangements of 7 elements(3 generals, 4 lieutenants). Hence the required number of combination will be given as:

Number of ways = 2*7!

Number of ways = = 100802

Hence the number of ways they can be seated is 10,080 ways.

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Answer:

Step-by-step explanation:

An radical expression usually involves a radicand which is the number or expression inside the radical symbol √ and an index which is the number outside the radical symbol indicating the root, the radicand raised to the power of the reciprocal of the index.

But in the case of expression "U-2/5" it's not a radical expression as is. It's a fractional expression with variable U and a constant -2/5.

It can be written as √(U-2)/5 or U- √(2/5) if you want to express it as an radical expression.

Answer:

8

Step-by-step explanation:

Constant of proportionality, k = y/x

y = earnings ($)

x = time (h)

Any point on the line can be used to determine the constant of proportionality. Let's use, (1, 8)

Constant of proportionality, k = y/x = 8/1

k = 8

Answer:

Isosceles right triangle

Step-by-step explanation:

Right isosceles has a 90° degree angle with two other sides 45° each

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Explanation:

Sides AB and AC are the same length (5.61), so the triangle is isosceles. If all three sides were the same, then it would be equilateral, but side BC is a different length of the first two sides mentioned. If all sides were different, then the triangle would be scalene.

Angle A is 90 degrees, making it a right angle. That means triangle ABC is also a right triangle. The triangle would be acute only when all three angles are less than 90. If any angle is greater than 90, then the triangle is obtuse.

So put together, triangle ABC is both isosceles and a right triangle, or in short we could say "triangle ABC is an isosceles right triangle".

[tex] \sf \: 5(4x -1.5x) + 12 = 4x - 124 \\ \sf \: 5 \times 2.5x + 12 = 4x - 124 \\ \sf \: 12.5x + 12 = 4x - 124 \\ \sf \: 12.5x - 4x = - 124 - 12 \\ \sf \: 8.5x = - 136 \\ \sf \: x = - 16[/tex]

The fraction that is equivalent to 3/4 is seen as; 6/8

A number sentence is defined as a mathematical sentence that is made up of numbers and symbols.

We want to write a number sentence using multiplication to show a fraction that is equivalent to 3/4.

Now, for us to find the final equivalent fraction, what we have to do is that we will divide or multiply by  denominator and numerator by the same number that is equal to one e.g 3/3; 5/5; 6/6, etc.

Since we want to find equivalent fraction of 3/4, let us multiply both numerator and denominator by 2 to get;

(3 * 2)/(4 * 2) = 6/8

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The constant cost call c is $0.7 and the cost of per minute call m is $0.93.

In algebra, a system of equations consists of two or more equations and looks for ways to solve them all together. A group of equations that have the same set of variables as solutions are referred to as a system of linear equations.

Let the constant cost be c and the per minute cost be denoted by m.

The equation for 5 minutes of the call is:

5.91 = 5m + c

c = 5.91 - 5m

The equation for 10 minutes of the call is:

10.06 = 10m + c

Substitute the value of c in the above equation:

10.06 = 10m + 5.91 - 5m

10.06 - 5.91 = 5m

4.69 = 5m

m = 0.93

Substitute the value of m:

10.06 = 10(0.93) + c

c= 0.7

Hence, the constant cost call c is $0.7 and the cost of per minute call m is $0.93.

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9514 1404 393

Answer:

Step-by-step explanation:

We assume the given ratios are proportional. I find it easiest to write the proportion with the unknown in the numerator.

a) dollars/ounces = x/17 = 7/20

Multiply by the inverse of the coefficient of x to solve.

  x = 17(7/20) = 5.95 . . . dollars

__

b) bushels/acres = x/9.6 = 225/3

  x = 9.6(225/3) = 720 . . . bushels

Answer: 4t

Step-by-step explanation:

You just do t times the amount of boxes you have, which is 4. So you have 4 times t, but in algebra, we don't write the multiplication sign. So the expression would be written as 4t. Yw!

Also please tell me if I was unhelpful/incorrect, thanks!

Answer:

Option (4)

Step-by-step explanation:

Point to remember for the dilation,

Area scale factor = (Dimension scale factor)²

It's given in the question,

Dimension scale factor = [tex]\frac{2x}{5y}[/tex]

Therefore, area scale factor = [tex](\frac{2x}{5y})^2[/tex]

                                               = [tex]\frac{4x^2}{25y^2}[/tex]

Option (4) will be the correct option.

The slope of the horizontal line will be zero.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.

The horizontal line always has zero slopes because the y coordinate will always be the same for two points.

The slope is calculated by the formula below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

y₂ = y₁

Slope = ( y₁  - y₁ ) / ( x₂ - x₁ )

Slope = 0

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Answer:

5 quarts

Step-by-step explanation:

there are 4 cups in a quart so 20/4=5 or

5x4=20 ykyk

Step-by-step explanation:

s(n) = 2n - 5  

                  What is the sum  1st and 6th terms of the sequence?  12

s(1) = 2(1) - 5           =   -3

s(2) = 2(2) - 5         =   -1

s(3) = 2(3) - 5         =    1

s(4) = 2(4) - 5         =   3

s(5) = 2(5) - 5         =   5

s(6) = 2(6) - 5         =   7       add these numbers

Answer: 315,392

Step-by-step explanation: this took me some time but I multiplied multiple times each time and I got this I hope it’s correct.

Btw I multiplied 2 times 8 then multipled with 11 then multipied 172 times 8 then multiplied by 14 and got 19,712. Then, I multiplied 19,712 by 16 and got 315,392

I had to edit cause I miscalculated :/ anyways I hope this is correct

Answer:

it is 62 or 58 because they are show the most times

Answer:

The answer is 61.

Step-by-step explanation:

I'm not sure what the first and last question answers are sorry. But I know that the second question is 31 the third question is 10 and the fourth question is 12.

Answer:

[tex]2 \frac{23}{27} [/tex]

I wish you luck in your assignments.

Answer:

difference - subtraction

sum - addition

of - multiplication

per - division

decreased by - subtract

together - addition

quotient - division

product - multiplication

Answer:

A. 1.15

Step-by-step explanation:

I calculated it logically

Answer:

l = 1.8 feet

Step-by-step explanation:

Given that,

The time period of the pendulum, T = 2.7 seconds

We need to find the length of the swing. The formula for the time period of a simple pendulum is given by :

[tex]T=2\pi \sqrt{\dfrac{l}{g}}[/tex]

Where

l is the length of the swing.

[tex]T^2=\dfrac{4\pi^2l}{g}\\\\l=\dfrac{T^2g}{4\pi^2}\\\\l=\dfrac{(2.7)^2\times 9.8}{4\times 3.14^2}\\\\l=1.8\ \text{feet}[/tex]

So, the length of the swing is 1.8 feet long.

Answer:5.4

Step-by-step explanation:

Answer:

9 pencils

Step-by-step explanation:

We know that the ratio is 5:3 and its pens to pencils. So, every 5 pens have 3 pencils. Now Jose has 15 pens, so his pen supply triples. therefore his pencil supply must also triple. So 3x3=9.

Let the no. of pencils be x,

= 5/3 = 15/x

Do cross multiplication

= 5x = 15 × 3

= x = 45/5

= x = 9

No of pencils = 9

Answer:

0.99

Step-by-step explanation:

Median is the middle term (or mean of the middle two terms) of a series arranged in order of magnitude.

Here the weights are already arranged in order and the middle term is 0.99

Therefor the median = 0.99

Answer:

28

Step-by-step explanation:

280 divided by 10 = 28

Yogurt production is affected by the production technological conditions.

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In mathematics, the Pythagorean theorem is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. State that the area of the square whose side is the hypotenuse

Fórmu

Answer:

1. Constant multiplicative.

2. 1.05.

Step-by-step explanation:

Their savings increase by 1.05x every year.