You start at (-4,-5). You move up 3 and down 1 unit. Where do you ends

Answer:

d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan24° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{12}\) ( multiply both sides by 12 )

12 × tan24° = x , then

x ≈ 5.34 ( to 2 dec. places ) → C

Answer:

Not a function

Step-by-step explanation:

A relation is considered a function if and only if every input value has exactly one output value.

The relation given does not satisfy the condition of a function. The input value, height = 160 cm, is related to different output values (age).

Therefore, the relation is not a function.

Answer:

  745

Step-by-step explanation:

You want the original number of books in the library if adding 298 children's books increased the fraction of children's books from 2/5 to 4/7.

We often like to work problems like this in terms of "ratio units." Here, we'll let x represent the number of books in a ratio unit. This means the number of children's books is originally 2x, and the total number of books is originally 5x. Then we have ...

  (2x +298)/(5x +298) = 4//7

Cross multiplying gives ...

  7(2x +298) = 4(5x +298)

  3(298) = 6x . . . . . . . . . . . . . subtract (14x+4(298))

  149 = x

  745 = 5x . . . . . . the original number of books in the library

There were 745 books in the library at first.

__

Additional comment

If we let x represent the original number of library books, then the arithmetic involves more fractions. You would have an equation like ...

  2/5x +298 = 4/7(x +298)

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According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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Answer:

24024

Step-by-step explanation:

14! / 10!

14 × 13 × 12 × 11 × 10! / 10!

14 × 13 × 12 × 11

24024

Answer:

Step-by-step explanation 14! / 10!

14 × 13 × 12 × 11 × 10! / 10!

14 × 13 × 12 × 11

24024

Recall that :

The function g is given by:

Hence:

Also,

Therefore, the required domain is:

[-5, 4) ∪ (4, ∞)

.

ANSWER

3x > 18

EXPLANATION

If she bought x bars of soap and each cost $3, then the total cost for x bars of soap is 3x. This is greater than her $18 budget:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

Angle #1: 115°

Angle #2: 64°

Angle #3: 90°

Angle #4: 106°

Angle #5: 165°

Step-by-step explanation:

you subtract the ones that give you the exterior angle by 180 because it is a supplementary angle. that means that both angles add up to 180. the little square next to angle three means its a right angle. this means it is exactly 90°. the last angle is a little tricky. you need to add up all the angles you have and then you if you get 540 then your answer is correct because all interior angles of a pentagon must add up to 540.

Hope you have a great day and I hope this helped you out!

<3 :- )

Answer:

5

Step-by-step explanation:

Because vertical angles are congruent,

The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.

The horizontal and vertical component of the airspeed is calculated as follows;

Vx = 300 cos(30) = 259.8 km/h

Vy = 300 x sin(30) = 150 km/h

The horizontal and vertical component of the wind velocity is calculated as follows;

Vx = 50 cos(60) = 25 km/h

Vy = 50 sin(60) = 43.3 km/h

To find the resultant velocity, we can add the x and y components separately:

Vx = 259.8 km/h  +  25 km/h = 284.8 km/h

Vy = 150 km/h  +  43.3 km/h  = 193.3 km/h

The magnitude of the resultant velocity is calculated as;

V = √(284.8² + 193.3²)

V = 344.2 km/h

The direction of the resultant velocity is calculated as;

θ = arc tan (193.3/284.8)

θ = 34.2⁰

The resultant direction to true north is calculated as;

track = 34.2 + 60 = 94.2°

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The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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Answer:

616.2442

area to the nearest whole number=616

Step-by-step explanation:

using formula 1/2absinx

where a =44,b=29 ,x=105

1/2x44x29xsin105

44x29=1276

1276÷2=638

638 x sin 105

the sin of 105 is 0.9659

if u are using a four figure table where u can't find 105 under sin of angle

u simply subtract 105 from 180=75

638 x 0.9659 =616.2442

approx.616

Answer:

4,000

Step-by-step explanation:

If there is 4 liters and 1,000 milliliters is in each liter then the answer would be 4,000. As for this you just do 1,000 x 4 because there is 4 liters.

Answer:

4000 ml

Step-by-step explanation:

Answer: C.

Step-by-step explanation:

1) Simplify the fractions....

\(2^{-3} = 1/8\\2^{-2} = 1/4\)

2) Add the fractions and solve for your answer...

1/8 + 1/4 = 3/8

Answer:

When hot chocolate sales increase, so do coffee sales, but the sale of one does not increase the other. There were just more customers that day.  

Step-by-step explanation:

Answer:

According to this author, the stories about Nancy Hart  

✔ likely have some basis in truth

.

As a result, they are  

✔ very important

to the study of Georgia’s past

Step-by-step explanation:

I just took it on Edge 2020

The distances of the person from the first three images as seen from the left hand mirror are 10.0 ft, 30.0 ft and 40.0 ft respectively.

From the question

The person is 5.00  ft from the mirror on the left wall

But the focal length of plane mirror is infinity which means both the image and object are equidistant from mirror

Therefore, the distance of first image on left wall of the mirror is

D1 = 5.00 + 5.00

     = 10.0 ft

where D1 is first distance.

So the image is 10.0 ft away from object.

From the second image,

The right side of the mirror forms the image of object at distance of 10.0 ft from the mirror on the right wall.

The person second distance is

d2 = (2 * 10.0) +10.0

d2 = 30.0 ft

where d2 is second distance.

And the third image is acquired by the addition of the image presented by the left mirror and the image presented by the right mirror.

d3 = (2 × 5.00) + 30.0

d3 = 40.0 ft

Therefore, the distances of the person from the first three images are 10.0 ft, 30.0 ft and 40.0 ft respectively.

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a) The phasor form of E-field = xˆ 2cos(wt - kz) - yˆ 4cos(wt - kz) is 2√5 L(-63.43).

Polarization type is linearly polarised.

b) The phasor form of E-field = ?

E(z,t) = xˆ 2cos(wt + kz) - yˆ 4sin(wt + kz) is E(z,t) =2√5 L(-143.43). polarization type is elliptical.

We have given that

E⃗(z,t) =2xˆcos(wt - kz) - 4 yˆcos(wt - kz)

|r⃗ | = √((2cos(wt - kz))² + (- 4cos(wt - kz))²)

= √(4cos²(wt - kz) + 16cos²(wt - kz))

= √(20cos²(wt - kz))

= 2√5 cos(wt - kz)

φ = 4cos(wt - kz)/(2cos(wt - kz))

= tan⁻¹ 1(-2) = -63.43°

So, E(z,t) = 2√5 L(-63.43)

b) E(z,t) = xˆ 2cos(wt + kz) - yˆ 4sin(wt + kz)

= xˆ 2cos(wt + kz) - yˆ 4cos(wt + kz -π/2)

|r| = √((2cos(wt + kz))² + (- 4sin(wt -+kz))²)

= √20

phi = tan⁻¹(- 4cos(wt - kz)/(2cos(wt - kz)) - π/2

= tan⁻¹( -2) + π/2 = - 143.43

so, E(z,t) =2√5 L(-143.43)

E(z,t) = xˆ 2cos(wt - kz) - yˆ 4cos(wt - kz)

if wt = 0°

E(z,t) = xˆ 2cos(0 - kz) - yˆ 4cos(0- kz)

= 2xˆ - 4yˆ

wt = 30° , E(z,t) = xˆ 2cos( - kz) - yˆ 4cos(0- kz)

E(z,t) = √3/2(2) xˆ - √3/2(4) yˆ

= √3xˆ - 2√3yˆ

for wt = 45°

E(z,t) = √2 xˆ - 2√2 yˆ

for wt = 90° =>E(z,t) = 0

for wt = 60° , E(z,t) = xˆ - 2 yˆ as seen in above graph that is linear polarised

For part (b) ,

E(z,t) = 2 xˆcos(wt - kz) - 4yˆ sin(wt + kz)

From graph elliptical polarised,

for wt = 0 , E(0,t) = 2 xˆ

for wt = 90° , E(0,t) = -4yˆ

for wt =180° , E(0,t) = -2 xˆ

for wt = 270° , E(0,t) = -4yˆ

Hence, we get the answer of both parts.

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Look at the values on the axes of the graph.

Step-by-step explanation:

Domain can be found by looking at the x-axis of a graph. Range can be found by looking at the y-axis of a graph. You have to find at what point on the axis is the graph stopping.

For example, if I wanted the domain of y=x, I would say it is all real numbers. Why? Because when we look along the x-axis, from left to right, we can see that it continues going until infinity. That means that there are no stopping points in the graph of y=x.

Answer:

3a+7a

Step-by-step explanation:

Subtract

2a from 5a.

Answer:

3a+7

Step-by-step explanation:

combine like terms

5a-2a+7

3a+7

We can’t simplify more than that

Hopes this helps please mark brainliest

Answer:

B.

Step-by-step explanation:

B is the least expensive

Lilia scores 20 points, Carol scores 10 points.

And the expressions used to find these points:

x = y - 15

z = (1/2)x

where, x, y , z are the points scored by Lilia, Bob and Carol respectively.

Let Lilia scores 'x' points, Bob scores 'y' points and Carol scores 'z' scores.

Bob scores 35 points.

So, we get an expression y = 35

Lilia scores 15 points fewer than Bob

So, we get an expression,

x = y - 15

But y = 35

So, x = 35 - 15

x = 20

Carol scores half as many points as Lilia.

So, we get an expression,

z = (1/2)x

substitute above value of x.

z = 1/2 * (20)

z = 10 points

Therefore, Lilia scores 20 points, Carol scores 10 points.

And the expressions used to find these points:

x = y - 15

z = (1/2)x

where, x, y , z are the points scored by Lilia, Bob and Carol respectively.

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Answer:

Decreases

Step-by-step explanation:

Answer:

decreases

Step-by-step explanation:

I just did the assignment!

Answer: 11x+11

Step-by-step explanation:

hope this helped u in any way