Determine the two coterminal angles (one positive and one negative) for theta = -503 degrees.

Answer:

Reflection

Rotation

Step-by-step explanation:

These are the steps required to change figure A to figure B.

Answer:

6

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find the missing number in the given sequence, let's analyze the pattern:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???

Looking at the sequence, we can identify a few patterns:

The sequence alternates between increasing and decreasing numbers.

The first two numbers, 2 and 4, are increasing.

The next two numbers, 4 and 3, are decreasing.

The following two numbers, 3 and 6, are increasing.

The subsequent two numbers, 6 and 3, are decreasing.

The next two numbers, 3 and 8, are increasing.

The subsequent two numbers, 8 and 9, are increasing.

Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.

Now let's determine the missing number:

From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.

Let's assume the missing number is x:

8 - x

Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):

8 - (3 - 1) = 8 - 2 = 6

Therefore, the missing number in the sequence is 6.

The complete sequence is:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6

Georgia will need \(\(\boxed{333}\)\) square inches of cardboard to construct the square pyramid.

To calculate the amount of cardboard needed to construct the square pyramid, we need to find the surface area of each individual face and then add them together.

Given that the base of the pyramid is a square with side length \(\(b = 9\) inches\) and the height of the triangular sides is \(\(a = 14\) inches\), we can proceed as follows:

The surface area of the square base is \(\(b^2 = 9^2 = 81\)\) square inches.

Each triangular face has a base equal to the side length of the square base, \(\(b = 9\) inches\), and a height of \(\(a = 14\) inches\). Therefore, the surface area of each triangular face is \(\(\frac{1}{2} \times b \times a = \frac{1}{2} \times 9 \times 14 = 63\)\) square inches.

Since there are four triangular faces in a square pyramid, the total surface area of the triangular faces is \(\(4 \times 63 = 252\)\) square inches.

Adding the surface area of the square base and the total surface area of the triangular faces, we get \(\(81 + 252 = 333\)\) square inches.

Therefore, Georgia will need \(\(\boxed{333}\)\) square inches of cardboard to construct the square pyramid.

For more such questions on square pyramid: https://brainly.com/question/3688277

#SPJ11

5 x 3²⁴  bacteria will there be after one day.

What is exponents?

Exponentiation could be a calculation, written as bⁿ, involving 2 numbers, the bottom b and also the exponent or power n, and pronounced as "b to the n".

Consider what is actually happening in the question.

You begin with 5 bacteria, and after 1 hour it has tripled so you now have

5x 3=15.

Next hour, it triples again so you now have 5 x 3 x 3=45

You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 3⁴  means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).

Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:

n x 324 where n is the number of bacteria you begin with.

Since you begin with 1 bacteria, the solution is 5 x 3²⁴.

Hence 5 x 3²⁴  bacteria will there be after one day.

To know more about exponents , visit:

https://brainly.com/question/13669161

#SPJ1

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

For such more questions on missing coordinates:

https://brainly.com/question/27481419

#SPJ11

Answer:

C: x > 4

none of the others

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer: The volume of the​ sculpture is 141.84 cubic-feet

Step-by-step explanation: Please see the attachments below

Answer:

Step-by-step explanation:

0.1×0.1 = 0.01

0.1×2 = 0.2

0.3×0.04 = 0.012

1.2×0.12 = 0.144

The equation of tangent plane to the given parametric surface \(r(u,v) = u.cos(v)i + u.sin(v)j + vk\) is \(\frac{\sqrt3}{2}x - \frac{5}{2}y + 5z = \frac{5\pi}{3}\) .

The given parametric surface is

\(r(u,v) = u.cos(v)i + u.sin(v)j + vk\)

The tangent vectors are

⇒ \(r_u = \frac{dx}{du} i+ \frac{dy}{du}j + \frac{dz}{du}k\)

⇒ \(r_u =\) \(r(u,v) = cos(v)i + sin(v)j + 0k\)

⇒ \(r_v = \frac{dx}{dv} i+ \frac{dy}{dv} j+ \frac{dz}{dv} k\)

⇒ \(r_v =\)  \(r(u,v) = -u.sin(v)i + u.cos(v)j + 1k\)

The normal vector to the tangent plane is

\(r_u r_v = \left[\begin{array}{ccc}i&j&k\\cos(v)&sin(v)&0\\-usin(v)&ucos(v)&1\end{array}\right]\)

⇒ \(r_u r_v =\) \(sin(v)i - cos(v)j + u.k\)

When u = 5, v = \(\frac{\pi }{3}\), the normal vector becomes

⇒  \(sin(\frac{\pi}{3})i - cos( \frac{\pi}{3})j + k\)

⇒ \(\frac{\sqrt{3} }{2}i - \frac{1}{2} j + k\)

The point on the surface corresponding to the u = 5 & v= \(\frac{\pi}{3}\) is

\(r(5, \frac{\pi}{3}) = (5)cos(\frac{\pi}{3})i + (5)sin(\frac{\pi}{3})j + (\frac{\pi}{3})k\\r(5, \frac{\pi}{3}) = \frac{5}{2}i + \frac{5\sqrt3}{2}j + \frac{\pi}{3}k\)

If a is the position vector of a point on the plane & n is a vector normal to the plane, then the equation of the plane is

⇒ (r - a).n = 0

⇒ \((x - \frac{5}{2}) . ( \frac{5\sqrt3}{2}) + (y - \frac{5\sqrt3}{2}).(- \frac{5}{2}) + (z - \frac{\pi}{3}).(5) = 0\)

⇒  \(\frac{\sqrt3}{2}x - \frac{5}{2}y + 5z = \frac{5\pi}{3}\)

To learn more about parametric forms

https://brainly.com/question/29146759

#SPJ4

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

Read more on exponent here: https://brainly.com/question/27858496

#SPJ1

Answer: The team will need to run the route 0.15 miles / 2 miles = 7.5 times to cover a total distance of 2 miles.

Step-by-step explanation:

First, we need to convert the yard measurements to miles to make them consistent with the target distance of 2 miles. We can use the conversion factor 1 mile = 1760 yards.

48 yards = 48/1760 miles

80 yards = 80/1760 miles

46 yards = 46/1760 miles

92 yards = 92/1760 miles

Next, we can add up the distances on each side of the route to find the total distance covered by the track team.

Top: 48 yards + 80 yards = 128 yards = 128/1760 miles

Middle: 46 yards + 92 yards = 138 yards = 138/1760 miles

Finally, we can add up the top and middle distances to find the total distance covered by the track team.

128 yards + 138 yards = 266 yards = 266/1760 miles = 0.15 miles

So, the team will need to run the route 0.15 miles / 2 miles = 7.5 times to cover a total distance of 2 miles.

The scale factor is 7:2, the perimeter ratio is 7:2, and the area ratio is 49:4.

Scale Factor:

The scale factor represents the ratio of corresponding lengths in similar figures.

In this case, the scale factor is given as 7:2.

Perimeter Ratio:

The perimeter ratio of two similar figures is equal to the ratio of their corresponding perimeters.

Since the scale factor is 7:2, the perimeter ratio will also be 7:2.

This means that the ratio of the perimeters of the first figure to the second figure is 7:2.

Area Ratio:

The area ratio of two similar figures is equal to the square of the scale factor. In this case, the scale factor is 7:2.

Thus, the area ratio will be (7/2)² = 49/4.

This indicates that the ratio of the areas of the first figure to the second figure is 49:4.

Learn more about the Scale images here:

brainly.com/question/13194929

#SPJ1

The equation of the line in slope-point form is:

y - 7 = -4/5(x + 6)

The equation of a line in slope-point form is given by:

y - y₁ = m(x - x₁)

where:

(x₁, y₁) represents the coordinates of a point on the line.

m represents the slope of the line.

m = (y₂ - y₁)/(x₂ - x₁)

(x₁, y₁) represents the coordinates of the 1st point on the line

where (x₂, y₂) represents the coordinates of the 2nd point on the line

We have

(x₁, y₁) = (-6, 7)

(x₂, y₂) = (4, -1)

m = (y₂ - y₁)/(x₂ - x₁)

m = (-1 - 7) / (4 - (-6))

m = -8/10

m = -4/5

Using y - y₁ = m(x - x₁):

y - 7 = -4/5(x - (-6))

y - 7 = -4/5(x + 6)

Learn more about equation of a line on:

brainly.com/question/12626026

#SPJ1

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

For more questions on expressions

https://brainly.com/question/30715930

#SPJ8

Yue should walk on a bearing of angle 110° to reach the lake.

The angle between the line connecting Yue to the lake and the line connecting Jun to the lake is 180° - 70° = 110°, we know that θ + 110° = 180°, or θ = 70°.

Using trigonometry, we can set up the following equation:

tan(70°) = d/8

Solving for d, we get:

d = 8 tan(70°) = 22.4 km

Therefore, Yue must walk about 22.4 km to reach the lake.

To find the bearing she should walk on, we can use the fact that she is walking directly towards Jun's starting point.

Since Jun's starting point is due north of the lake, Yue must walk on a bearing of 180° - 70° = 110°

Therefore, Yue should walk on a bearing of 110° to reach the lake.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer: B |-5+10|

Step-by-step explanation:

with simple addition we can find out that the distance from Mary to the soccer ball is 15 yards (5+10).

-5-10 = -15

|-15| = 15

The formula for volue is length x width x height.

The volume of the sand needed to fill the space is 240 feet³.

The total cost of the sand is $1240.

The brick patio is the shape of a rectangular prism. In order to determine the volume of the brick patio, determine the product of the length, width and the height.

Volume of the brick patio = length x width x height

= 10 x 12 x 2 = 240 feet³

Total cost of the sand = (volume x cost per cubic foot) + delivery fee

Total cost of the sand = (240 x $5) + $40

Total cost of the sand = 1200 + 40

Total cost of the sand = $1240

To learn more about the volume, please check: https://brainly.com/question/26406747

#SPJ1

5 "Always." Consecutive angles of a rectangle are always congruent.

6 "Never." A parallelogram is not always a square.

7 "Sometimes." In a rhombus, the diagonals are always perpendicular bisectors of each other, but they are not always congruent.

8 "Always." A rectangle has congruent sides, but not necessarily all four sides.

9 Given: ABCD is a parallelogram

To prove: AABC = ACDA

Proof:

AB || DC (definition of parallelogram)

AD || BC (definition of parallelogram)

∠ABC = ∠CDA (alternate interior angles)

AC = AC (reflexive property)

∠BCA = ∠DAC (alternate interior angles)

Therefore, AABC = ACDA (ASA congruence theorem)

10 Given: TRAP is an isosceles trapezoid

To prove: AAPR ARTA

TR = AP (definition of isosceles trapezoid)

∠APT = ∠ATR (alternate interior angles)

∠PAR = ∠RTA (alternate interior angles)

∠PAR = ∠APT (angles at a point)

Therefore, AAPR ARTA (AA congruence theorem)

Consecutive angles of a rectangle are always congruent. This is a property of rectangles that is true for every rectangle.

A square is a specific type of parallelogram that has all four sides congruent and all four angles right angles.

A rectangle has two pairs of opposite sides that are congruent, but the adjacent sides may have different lengths. This is a defining characteristic of rectangles, and it is always true for every rectangle.

The ASA congruence theorem states that two triangles are congruent if two angles and the included side of one triangle are congruent to the two angles and the included side of the other triangle. In this case, ∠ABC and ∠CDA are congruent by (3), AC is congruent by (4), and ∠BCA and ∠DAC are congruent by (5). Therefore, AABC = ACDA by the ASA congruence theorem.

The AA congruence theorem states that two triangles are congruent if two angles of one triangle are congruent to two angles of the other triangle, and the side between those angles is congruent in both triangles

Learn more about rectangle on

https://brainly.com/question/25292087

#SPJ1

Answer:

To calculate the book value of the building, we need to calculate the annual depreciation amount and multiply it by the number of years elapsed since the building was completed.

The annual depreciation amount is calculated as: $1 million / 50 years = $20,000

In 2014, the book value of the building was: $1 million - ($20,000 * (2014 - 2010)) = $1 million - ($20,000 * 4) = $960,000

In 2022, the book value of the building will be: $1 million - ($20,000 * (2022 - 2010)) = $1 million - ($20,000 * 12) = $680,000

Answer:

3:7

Step-by-step explanation:

thats the ratio simplified

Answer:

12:16

Step-by-step explanation:

Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

The light from the sun takes 8 minutes 20 seconds to reach the earth.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: The distance is 93,000,000 miles and the speed of light as 1.86×10⁵ miles per hour.

Now we know speed = Distance/ time

Thus we have Time taken = 93000000/1.86×10⁵

                                           = 8 minutes 20 second (approx)

Hence, The light from the sun takes 8 minutes 20 seconds to reach the earth.

Learn more about the speed of light here:

https://brainly.com/question/394103

#SPJ1

Answer:

The second option

x ==> f(x)

-1 ==> 0

0 ==> 3

3 ==> 36

Step-by-step explanation:

Given:

f(x) = 2x² + 5x + 3

{-1, 0, 3}

Required:

Determine the best mapping representing the function

SOLUTION:

First, find f(x) each domain value.

To find f(x), plug in the domain value into the function.

For -1, we have:

f(-1) = 2(-1)² + 5(-1) + 3

f(-1) = 2 - 5 + 3

f(-1) = 0

For 0, we have:

f(0) = 2(0)² + 5(0) + 3

f(0) = 0 + 0 + 3

f(0) = 3

For 3, we have:

f(3) = 2(3)² + 5(3) + 3

f(3) = 18 + 15 + 3

f(3) = 36

The mapping that best represents the function would be:

x (domain) ==> f(x) (range)

-1 ==> 0

0 ==> 3

3 ==> 36

The second option is the answer.

Answer:

The total number of registered doctors is 202,920 rounded.

Step-by-step explanation:

Solve for (x) in this equation: 27.4/100 = 55,600/(x)

You will get the following equation: (x)= (100*55,600) / (27.4) which equals 202,919.708 rounded to 202,920

To double check, you can see that 27.4% of the total given (202,920) equals the 55,600.