if x and 2x are supplementary angles, the value of x
​

Step-by-step explanation:

5= 0.3 x

=> both sides times 10

50 = 3x

x = 50/3

x = 16.67 (C)

Answer:

C

Step-by-step explanation:

5÷ 0.3= 16.666 ⇒ 16.67

Answer:

P=96;A=540

Step-by-step explanation:

To find the perimeter, the distance around the pool, all you need to do is add 18+18 then add 30+30. Why? Because assuming the pool is a rectangle, it would have 4 sides. The two width sizes as 18 and the two lengths as 30. Now, finding the area is even simpler. All you have to do is multiply the width by the length. 18*30.

I hope this answer helped! If you found it useful give it a thanks! It would mean a lot!

Factors of the polynomial are: (x - 3)(x + 3)(x - 5).

What if factoring polynomial?

A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain by the process of factorization of polynomials, also known as polynomial factorization.

Given:  

We have to show tat x - 5 is a factor of the polynomial and to find the factor of the polynomial.

First to show x - 5 is a factor of the given polynomial.

We know that,

If x - 5 is the factor of the given polynomial then by factor theorem x - 5 = 0.

So, x = 5

Plug x = 5 in t(x).

t(5) = 0

That means 5 is the zero of the polynomial t(x).

Therefore, x - 5 is the factor of the polynomial.

Now, to factor the polynomial.

Therefore, after factoring the polynomial we get, .

Answer:

The steps on how to show that the binomial is a factor of the polynomial and then factor the polynomial completely are:

1. Set the binomial equal to 0.

x - 5 = 0

2. Solve for x.

x = 5

3. Substitute the value of x into the polynomial.

t(5) = 5^3 - 5(5^2) - 9(5) + 45

t(5) = 125 - 125 - 45 + 45

t(5) = 0

4. Since the value of the polynomial is 0 when x = 5, the binomial (x - 5) is a factor of the polynomial.

5. To factor the polynomial completely, we can use the difference of squares factorization.

t(x) = (x - 5)(x^2 + 9)

The complete factorization of the polynomial is:

t(x) = (x - 5)(x^2 + 9)

A polygon with the three edges and three vertices is called a triangle. It is one of fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC, measures of the right triangles are 35, 90 and 55.

A polygon with the three edges and three vertices is called a triangle. It is one of fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All the triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except when otherwise specified, this article discusses the triangles in Euclidean geometry, namely the Euclidean plane.

Which is the smallest angle, which is the right angle, and which is the third angle of the triangle are the three inner angles (A, B, C) of a right angled triangle.

sum of the interior angles of a triangle = 180

ratio 7:18:11

so

7+18+11 = 36

180 / 36 = 5

7 x 5 = 35

18 x 5 = 90

11 x 5 = 55

measures of the right triangles are 35, 90 and 55

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The actual weight is 0.0042 pounds lighter than the labeled weight.

The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.

Subtracting the actual weight from the labeled weight, we get:

0.384 pounds - 0.3798 pounds = 0.0042 pounds.

Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.

It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.

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Answer:

Y        X

80     32

100    x'

Step-by-step explanation:

80x' = 100*32

80x' = 3200

x' = 3200/80

x' = 320/8

x' = 40

Answer: 50

I If you want to get the answer correct than answer 50 trust me I just answered 50 and got it right just wanted to help YW

Answer:

\(4 \div \frac{1}{2} \\ \\ (4 \times 1) \times ( \frac{2}{1} ) \\ \\ \frac{(4 \times 2)}{(1 \times 1)} \\ \\ \frac{8}{1} \\ \\ = 8\)

For the given circle, OC ⊥ AB and OC pass through the center O because it is the radius of the circle.

Consider two triangles OAC and OBC.

OC = OC = 4 units (Common side)

OA = OB = 5 units (Radii)

AC = BC (As C is the midpoint of AB)

As per the RHS rule, the ΔOAC is congruent to ΔOBC.

So, ∆OAC ≅ ∆OBC

Now, as per the RHS rule,

∠OMA = ∠OMB = 90°

Thus, conclude that OC ⊥ AB.

Since OC is the radius of the circle, and AB is a chord of the circle passing through the center, we can conclude that OC passes through the center O.

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The complete question is as follows:

AB is a chord of the circle. AC = CB and the length of the radius is 5 units. AC = 3 units and OC = 4 units. Show that OC ⊥ AB and explain why OC passes through the center O.

Answer: B

Step-by-step explanation:

Answer:

Office Max

Step-by-step explanation:

Office Max charges $3.50 for each notebook. Staples charges $4 for each notebook. You can achieve this answer by dividing cost by the number of notebooks.

Answer:

The answer is 11/6! Hope this helped!

Steps:

6/3 + (-1/6)

apply rule --> a + (-b) = a - b

6/3 + (-1/6) = 6/3 - 1/6

= 6/3 - 1/6

6/3 = 2

= 2 - 1/6

2 = 6 x 2 over 6

= 6 x 2 over 6 - 1/6

= 12/6 - 1/6

apply fraction rule --> a/c - b/c = a - b over c

12/6 - 1/6 = 12 - 1 over 6

= 12 - 1 over 6

= 11/6

Answer:

r= 1r- eR = r

Step-by-step explanation:

r-r = ER final answer to equal r= -ER

Answer: x= -15

Step-by-step explanation:

If Liza takes 120 steps, then the number of steps taken by Pete will be 72.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.

Then the relation between is given as

4 Pete → 4 Lulu

5 Lulu → 4 Liza

Then we have

\(\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow \dfrac{5}{3} \ Lulu \rightarrow 4 \ Liza\)

If Liza takes 120 steps, then the number of the step taken by Pete will be

\(\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow 4 \times 120 \\\\Pete \rightarrow 72\)

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The probability that a randomly selected student is taking a math class or an English class is 0.79.

Using the formula for the union of two events, P(A or B) = P(A) + P(B) - P(A and B), where A is the event "taking a math class" and B is the event "taking an English class", we can find the desired probability:

P(A or B) = 0.76 + 0.75 - 0.72 = 0.79

So,  "0.79" (which is given in upto two decimal places) is the probability that a randomly selected student is taking a math class or an English class.

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Answer: g \(\geq\) -4

Step-by-step explanation:

\(3\leq7+g\)

Subtract 7 from both sides:

-4 \(\leq\) g, so

g \(\geq\) -4

Answer:

g ≥ -4

Step-by-step explanation:

3≤7+g

We rewrite g on the left side

g + 7  ≥ 3

g  ≥ -4

Answer:

Two adjacent angles can be complementary

Step-by-step explanation:

if they add up to 90°. For example, a diagonal of a square will split the right angle into two equal angles; 45°+45°. In a right triangle, the altitude from a right angled vertex will split the right angle into two adjacent angles; 30°+60°, 40°+50°, etc.

The rocket reaches its maximum height at t = 2 seconds and the maximum height reached by the rocket is 144 feet.

To find when the rocket reaches its maximum height, we need to determine the time at which the rocket reaches its peak. In the given function, h(t) = -16t² + 64t + 80, the height is represented by h(t), and t represents time.

To find the time at which the rocket reaches its maximum height, we can use the formula for the vertex of a quadratic function, which is given by t = -b/2a. In this case, a = -16 and b = 64.

Using the formula, we can calculate the time at which the rocket reaches its maximum height:

t = -64 / (2 * -16) = -64 / -32 = 2

Therefore, the rocket reaches its maximum height at t = 2 seconds.

To find the maximum height reached by the rocket, we substitute the value of t = 2 into the height function:

h(2) = -16(2)² + 64(2) + 80 = -64 + 128 + 80 = 144

Thus, the maximum height reached by the rocket is 144 feet.

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Answer: a 46.79 pens

Step-by-step explanation: trust me

The minimum number of $5-notes she has is 11.

To find the minimum number of $5-notes that Siti has, we need to consider the maximum number of $2-notes she can have while still having a total value of more than $132.

Let's assume Siti has x $5-notes. Since the total value of all the notes is more than $132, we can set up the following equation:

5x + 2(50 - x) > 132

Simplifying the equation:

5x + 100 - 2x > 132

Combining like terms:

3x + 100 > 132

Subtracting 100 from both sides:

3x > 32

Dividing both sides by 3:

x > 10.67

Since x represents the number of $5-notes, it must be a whole number. Therefore, Siti must have at least 11 $5-notes in order for the total value of the notes to be more than $132.

So, the minimum number of $5-notes she has is 11.

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Justice is using a technique known as chunking.

Short-term memory can function more effectively thanks to chunking, however the quantity of chunks that can be stored efficiently declines as chunk size grows.

Large pieces of information may be divided into smaller bits and then grouped together using relevant information or attributes before being stored in order to improve retention of that information in the short term memory. To establish relational information or similarity between the information to be stored in order to improve retention and recall in the short term memory, information must be broken down before being regrouped. However, as chunk size grows, so does the efficiency of information chunking.

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TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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Answer:

5/8

Step-by-step explanation:

You would do 1 x 5 equals 5 and then you put 8 below it so it would be 5/8

The upper bound of the value of A is 10.71

Function is a type of relation, or rule, that maps one input to specific single output.

We are given that the function as;

A = f/g

f = 2.75 correct to 2 decimal places

g = 0.3 correct to 1 decimal place

f = 2.75 + 1 = 3.75

g = 0.3 + 0.05 = 0.35

Therefore, the upper bound of the value of A

A = f/g

A = 3.75/0.35

A = 10.71

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6,000 buckets of paint are donated, which is equivalent to 30,000 gallons of paint.

The number of 5-gallon buckets of paint donated can be found by solving the equation 5x = 30,000, where x represents the number of buckets. Solving for x, we get x = 6,000. Therefore, 6,000 buckets of paint are donated, which is equivalent to 30,000 gallons of paint.

San Francisco's recycling facility accepts donated paint in 5-gallon buckets. Volunteers blend and mix the paint, and then give it away in the same sized buckets. This is a great initiative that reduces waste and helps communities in need. The donated paint can be used for various purposes such as home renovations, school projects, and community beautification.

Recycling and reusing resources is an important step towards sustainability. By donating and using recycled paint, we reduce the amount of waste going to landfills and conserve resources. It is also a great way to give back to the community and help those in need. The 30,000 gallons of paint donated by San Francisco's recycling facility will surely make a positive impact on the environment and society.

COMPLETE QUESTION:

RECYCLING San Francisco has a recycling facility thay in 5 -gallon buckets. Write and Volunteers blend and mix the paint and give it away in 5-gallon buckets. paint given away from the solve an equation to find the number 30,000 gallons that are donated.

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As per the Newton's method, the equal ration of the Pizza is 3: 2: 3

In math, Newton's method states that a technique for solving equations of the form f(x)=0 by successive approximation

Here we have given that three calculus students entered a pizza parlor. they were quite hungry and ordered an entire pie, instead of having the pizza maker cut the pie in the usual manner they asked her to slice the pie into three equal areas using only two parallel slices.

And we need to find these slices be made in order to accomplish this

Here let us assuming that the pizza has unit radius, and the area of the pizza is π and each piece has to have area π/3.

Therefore, the given details is enough to find the height of a circle segment such that its area is one third of the original circle,

As per the Newton's method, we get the value of h as,

=> h ≈ 0.735068 ≈ 4492/6111,

Therefore the three slices have widths approximately proportional to 3:2:3.

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The majority of Young professional subscribers are interested in personal finance and investment opportunities.

Young Professional magazine would be a good advertising outlet for online brokers because its target audience consists of recent college graduates who are in their first 10 years in a business/professional career. This demographic is likely to have a high level of education, which means they are more likely to understand and be interested in investment opportunities. Additionally, as young professionals, they are likely to have a higher disposable income and a desire to invest and grow their wealth.
According to the survey results, the majority of Young Professional subscribers are interested in personal finance and investment opportunities. This makes the magazine an ideal outlet for online brokers to advertise their services and reach potential customers. The survey also revealed that the majority of subscribers are tech-savvy and comfortable with online transactions, which makes them more likely to be interested in using online brokers for their investment needs.

Overall, the demographics and interests of Young Professional subscribers make it a good advertising outlet for online brokers. By advertising in the magazine, online brokers can reach a highly educated, tech-savvy, and financially motivated audience that is likely to be interested in their services.

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Answer:

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle

(180 - 90) : 3 = 30

30 * 2 = 60

----------------------

check

90 + 30 + 60 = 180°

the answer is good