The area of a rectangle is 36 square inches, and its perimeter is 26 inches. What are the length and width of the rectangle?

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Angela is a real estate broker option c.

Real Estate Broker;

A real estate broker represents the buyer or seller when looking for the appropriate home. A broker often works for a larger company that helps home sellers and home purchasers select the best and most affordable housing alternative.

A real estate broker is a licenced real estate professional in their own right, as opposed to only being a licenced real estate agent. Like an agent, a real estate broker possesses knowledge that can assist clients with real estate transactions and the sale or acquisition of real estate.

Here,

Angela works as a real estate broker. In order to ascertain the couple's demands for a new home and the size of a property they can afford, Angela meets with them. As a result, choice C is accurate.

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The equation of the circle has the following format:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

In which:

The equation of a circle of center \((x_0, y_0)\) and radius r is given by the equation presented as follows:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

From the figure, you must identify the coordinates of the center, and then replace the given point \((x - x_0)^2 + (y - y_0)^2 = r^2\) into the equation to solve for the radius r.

The problem is incomplete, hence the procedure to obtain the equation of the circle was presented.

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Answer:

x=−7

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

-5(x-2)-(x+2)=50

-5x+10-x-2=50

-6x+8=50

-6x=42

x=-7

Answer:

45

Step-by-step explanation:

multiply 9 by 5 to get 45

then, multiply 45 by 5 to get 225

The geometric sequence is 5(previous number)

Answer:

true

Step-by-step explanation:

Answer:

£26.77

Step-by-step explanation:

450(100% + 2%)^6

= 450 (1.02)^6

= 506.77.

506.77 - 480 - 26.77.

Riley had £26.77 left.

Answer:

Step-by-step explanation:

For 30: 1,2,3,5,6,10,15,30
For 21: 1,3,7,21
For 56: 1,2,4,7,8,14,28,56
Because you always go times it by the number. Example is: 1 is always in the factors (Doesn't matter if it's the least common factor or whatever) because whatever you times by 1, it's that answer. Or you can look at the answer, (I'm doing the 30) First, find the middle which is 5 and 6. You times 5 and 6 and it will give you 30. People call it a rainbow, 5x6=30, 3x10=30, 2x15=30, and 1x30=30.

I hope this  helps

Answer:

the pdf is bugged so your going to have to repost

Step-by-step explanation:

Answer:

B) Coefficient

Step-by-step explanation:

this is right

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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Answer: angle 1 = 51, angle 2 = 18, angle 3 = 123, angle 4 = 39

Step-by-step explanation:

72+57=129 180-129= 51 degrees for 1

90-72= 18 degrees for 2

180-57= 123 degrees for 3

123+18=141 180-141= 39 degrees for angle 4

The slope- intercept equation is

y = mx + b

Where, m = slope and b = intercept

slope = 1/7

We are given a point on the line as (7, 0)

The slope - intercept equation for a given point is

(y - y1) = m(x - x1)

y1 = 0 and x1 = 7

(y - 0) = 1/7(x - 7)

Open the parentheses

y = 1/7 * x - 1/7 x 7

y = 1/7x - 1

The answer is y = 1/7x - 1

Based on the data, the estimated number of lemon candies in the bag of 100 assorted candies is about 19.

In mathematics, proportion refers to the relationship between two quantities that are equivalent or have a constant ratio. It is usually expressed as a fraction or a ratio. For example, if a recipe calls for 2 cups of flour and 1 cup of water, the proportion of flour to water is 2:1 or 2/1. Proportions are used in a variety of mathematical and real-world situations, such as solving problems involving ratios, rates, and percentages.

In the given question,

We can use a simple proportion to estimate the number of lemon candies in the bag. We know that Ridgette handed out a total of 6 lemon candies out of a total of candies. Therefore, the proportion of lemon candies in the bag is:

6/total candies = number of lemon candies/100

We can cross-multiply to solve for the number of lemon candies:

number of lemon candies = 6 x 100 / total candies

We can also use the information about the other flavors to estimate the total number of candies in the bag. The total number of candies is:

total candies = lemon + orange + grape + cherry

Using the information from the table, we can estimate the total number of candies:

total candies = 6 + 5 + 8 + 13 = 32

Therefore, the estimated number of lemon candies in the bag is:

number of lemon candies = 6 x 100 / 32 = 18.75

We can round this to the nearest whole number to estimate that there were about 19 lemon candies in the bag of 100 assorted candies.

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The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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For diluting the 0.10 M solution to a concentration of 0.020 M. We will measure 20 ml of 0.10 M solution and pipet it to a volumetric flask of 100 ml. After that we will add distilled water to the solution contained in volumetric flask.

In the given question, a student is instructed to determine the concentration of a solution of CoCl2 based on absorption of light.

Given that:

M1 = 0.10 M

M2 = 0.020 M

V1 = x ml

V2 = 100 ml

Now M1V1 = M2V2

0.10x = 0.020 x 100

0.10x = 2

Divide by 0.10 on both side, we get;

x = 20 ml

Now for diluting the 0.10 M solution to a concentration of 0.020 M. We will measure 20 ml of 0.10 M solution and pipet it to a volumetric flask of 100 ml. After that we will add distilled water to the solution contained in volumetric flask.

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The right question is:

A student is instructed to determine the concentration of a solution of CoCl2 based on absorption of light (spectrometric/colorimetric method). The student is provided with a 0.10 M solution of CoCl2 with which to prepare standard solutions with concentrations of 0.020 M, 0.040 M, 0.060 M and 0.080 M.

Describe the procedure for diluting the 0.10 Msolutions to aconcentration of 0.020 M using distilled water, a 100 mL volumetric flask, and a pipet or buret. Include specific amounts where appropriate. The student takes the 0.10 M solution and determines the percent transmittance and the absorbance at various wavelengths. The two graphs below represent the data.

Step-by-step explanation:

 So basically when you have to calculate the quarters you need to first of all the data. So this modern number first and then so in this case will be 000 and so on. Then you have to find the position. So in this case you have Around 40 value. So In this case for example the first one will be the 10th value in this case. Day 20th In this case the 30th. So for example 25% of the data of the first party will be until six. So you know 25% of the others will be six or below six. 50% of the data will be in the 20th position. So it will be below nine Or nine and 75% of data will be below or equal to 16. 16. Anything couple of 16 will be in the top 25% and those are dancers. So this is a quick summary. Remember that you find these values When you calculate the 75% position. That in this case because you have 40 values that will be 30%. For the second quarter will be the 50% and for the first quarter will be the 25%. How do you know that? 1st? You need to sort all the data. So the first smallest bodies will be here from smaller to larger and then you find the relative position paid on this percentage.

For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

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Answer:

sorry

Step-by-step explanation:

Answer:

2220

Step-by-step explanation:

gcd of all numbers

3,4,7,5,6,8

2 = 3,2,7,5,3,4

2 = 3,1,7,6,3,2

2 = 3,1,7,5,3,1

3 = 1,1,7,5,1,1

You can work with lemma proof​ by following steps 1 to 6 listed below.

A lemma is a small result that is used to help prove a larger theorem. In order to work with lemma proofs, you can follow the general steps outlined below:

1. Understand the problem: Read and understand the theorem that you are trying to prove. Identify any key concepts or terminology that you need to know.

2. Identify the lemmas: Look for any smaller results or lemmas that could help you prove the larger theorem. These might be established results from earlier in the course or in related subjects.

3. Prove the lemmas: If the lemmas you need have not already been established, you will need to prove them yourself. Use the same techniques you would use to prove the larger theorem, but on a smaller scale.

4. Apply the lemmas: Once you have established the lemmas you need, use them to help prove the larger theorem. Clearly state which lemmas you are using and why they are relevant.

5. Write a clear and concise proof: Write out the proof of the theorem, making sure to use clear and concise language. Make sure to justify each step of the proof and to explain how the lemmas are being used.

6. Check your work: Double-check your work to make sure that your proof is correct and that all the steps are justified.

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The value of the given summation is:

\(\sum (29a_i - 13b_i) ]= -30\)

Here we know that the sums are:

\(\sum a_i = -10\\\\\sum b_i = -20\)

And we want to find the value of the sum:

\(\sum (29a_i - 13b_i)\)

First we can distribute the sum to get:

\(\sum 29a_i + \sum - 13b_i\)

And take the coefficients out of the sum:

\(29\sum a_i -13\sum b_i\)

Now replace the known values:

\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)

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The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Hey there! I'm happy to help!

First, let's find the slope of the two lines. To find the slope, you divide the difference in the y-values by the difference in the x-values.

LINE M

7-12/3-6=-5/-3= 5/3

LINE N

1-6/-5+2=-5/-3=5/3

If lines have the same slopes, they are parallel because they are always moving at the same incline and therefore will never meet. This matches what answer A says.

Therefore, the correct answer is A) Lines m and n have the same slope so they are parallel.

I hope that this helps! Have a wonderful day!

Step-by-step explanation:

because 0.25 = 1/4.

so, it is actually

82.5 + 8×(1/4)x = 338.5

which is then simplified

82.5 + (8/4)x = 338.5

82.5 + 2x = 338.5

Step-by-step explanation:

\(\displaystyle\\8(0.25x)=8(\frac{25}{10}x)=\frac{8*25}{100} x=\frac{200}{100}x=2x\)

Thus, 82.5+8(0.25x)=338.5  ≡  82.5+2x=338.5

The term 3x2 in the quotient is the result of dividing 3x4 by x^2.

Divide the dividend by the divisor to determine the quotient of a division problem.

First, take the dividend's first digit from the left.

Second step: After dividing it by the divisor, write the result as the quotient on top.

Step 3: Deduct the outcome from the digit and write the difference below.

Step 4: Bring down the dividend's next digit (if present).

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he term 3x2 in the quotient is the result of dividing 3x4 by x² (A)

The polynomial −2x3 − x2 + 13x in the last line is the result of subtracting 3x4 + 9x3 + 3x2 from the dividend and bringing down 13x . (B)

Complete the division.

The quotient is 3x2 + -2x + 5

.

Heres all three. Hope i helped.

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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