The following table contains the appropriate values for A, B, and C:
White 13 52 91 130 Black 9 36 63 90
What does "proportional relationship" mean?Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them. This parameter is referred to as the "constant of proportionality". We'll now look at an instance of a proportionate relationship in real life: The amount of money we will have to spend while filling up our automobile with gas is inversely proportional to the number of gallons we put in the tank. In other words, the amount of gas we use will determine how much we pay.The definition of a proportionate relationship is as follows:
y = kx.
where k is the proportionality constant.
The following are the input and output variables for this issue:
Number of black keys to enter.
Number of white keys is the output.
The constant k is then obtained using the formula:
91 = 63k
k = 91/63
k = 13/9.
Hence the equation is:
y = 13x/9.
Hence the values are given as follows:
A: when x = 9, y = 13.
B: when x = 36, y = 13 x 36/9 = 52.
C: when x = 90, y = 13 x 90/9 = 130.
Hence the first table is correct.
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(6.) The population of a city in thousands is modeled by the function f()=250 (1.01)
where is the number of years after 1950. Which of the following are predicted by
the model? Select all that apply.
A. The population in 1950 was 250,
B. The population in 1950 was 250,000,
C. The population grows by 1 percent each year.
D. The population in 1951 was 275,000.
E. The population grows exponentially,
(From Unit 4, Lesson 2.)
The population size in 1951 can be predicted to be : 2,551,970,500
What is population?Population is the term typically used to refer to the number of people in a single area. Governments conduct a census to quantify the size of a resident population within a given jurisdiction.
here, we have,
Applying Malthus's population projection
P = P₁ ( 1 + r ) n ----- ( 1 )
where :
P ( projected population ) = ?
P₁ ( Recent population ) = 2,515,000,000
r ( intrinsic rate ) = 1.47 %
n ( number of years ) = 1
Given that the population grows exponentially
P = 2,515,000,000 ( 1 + 0.0147 ) * 1
= 2,551,970,500.
Hence we can conclude that The population size in 1951 can be predicted to be 2,551,970,500
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What are the 5 rules of scientific notation?
5 rules of scientific notation which helps us to represent the numbers which are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent.
The exponent is either positive or negative depending on how big or little the number is. Learn about power and exponents to have a deeper understanding. The five golden rules of the scientific notation:
Base should be always 10The exponent must be a non-zero integer, that means it can be either positive or negativeThe absolute value of the coefficient is greater than or equal to 1 but it should be less than 10 Coefficients can be positive or negative numbers including whole and decimal numbersThe mantissa carries the rest of the significant digits of the number of the exponent.Hence there are the rules of the the scientific notation.
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Please help! 100 points!
Translation – (x+3,y-3)
Dilation – Reduce the figure by ½
Reflection- Reflect over the line y = x
Rotation – Rotation of 180 degrees around the origin.
1. Translation – (x+3, y-3) :
To move the figure 3 units to the right in the x-direction and 3 units down in the y-direction.
2. Dilation – Reduce the figure by ½ is:
When reducing a figure by ½, every dimension of the figure is divided by 2.
3. Reflection- Reflect over the line y = x
Reflecting over the line y = x means that every point in the figure is reflected over the line that goes diagonally from the lower left to the upper right.
4. Rotation – Rotation of 180 degrees around the origin.
When rotating a figure 180 degrees around the origin, every point in the figure is moved to a new location that is 180 degrees around the origin from its original location.
Transforming FiguresTranslation – (x+3,y-3)Translated to plain English, this means to move the figure 3 units to the right in the x-direction and 3 units down in the y-direction. When we apply the translation (x+3,y-3) to a figure, it means that we move the entire figure 3 units to the right in the x-direction, and 3 units down in the y-direction. So, the translation (x+3,y-3) simply shifts the figure to a new location that is 3 units to the right and 3 units down from its original location.
Dilation – Reduce the figure by ½Dilation is a transformation that changes the size of a figure. When reducing a figure by ½, every dimension of the figure is divided by 2. In other words, every point in the figure is moved to a point that is half the distance from the center of dilation.
Reflection – Reflect over the line y = xReflecting a figure over a line means to create a mirror image of the figure on the other side of the line. Reflecting over the line y = x means that every point in the figure is reflected over the line that goes diagonally from the lower left to the upper right.
Rotation – Rotation of 180 degrees around the originRotating a figure means to turn it around a fixed point. When rotating a figure 180 degrees around the origin, every point in the figure is moved to a new location that is 180 degrees around the origin from its original location. This means that every point is flipped over to the opposite side of the origin.
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what is the value of 3⁴×3⁰
Answer:
81
Step-by-step explanation:
using the rule of exponents
• [tex]a^{0}[/tex] = 1
then
[tex]3^{4}[/tex] × [tex]3^{0}[/tex]
= [tex]3^{4}[/tex] × 1
= 3 × 3 × 3 × 3
= 9 × 9
= 81
Answer: Hello! I'm JK!.....
81
Use the power rule to combine exponents. 3^4+^0
Add 4 and 0. 3^4
Raise 3 to the power of 4.
81
Step-by-step explanation:
I really hope this helps you! <3 XoXoGoldenMaknae
If a fair six-sided number cube was rolled
510 times, how many times would
you predict that a 4 or 5 would be rolled?
We would anticipate that a fair six-sided number cube would roll a 4 or 5 roughly 170 times out of 510 rolls.
How is probability determined?The likelihood of rolling a 4 or a 5 on any given roll, supposing the six-sided number cube is fair, is 2/6 or 1/3. This indicates that we should anticipate seeing a 4 or a 5 roughly one-third of the time out of 510 rolls.
We may determine this by dividing the total rolls by the likelihood of rolling a 4 or a 5, as follows:
510 * 1/3 = 170
It's crucial to keep in mind that this is merely a prediction based on probability and that the actual outcomes could change as a consequence of chance or other circumstances.
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can someone please help me i dont understand this question......A first-time homebuyer is financing a house for $128,900. The buyer has to pay $300 plus 1.05% for a brokerage fee. How much are the mortgage brokerage fees? $1,653.45 $1,353.45 $1,356.60 $1,365.45
The required mortgage brokerage fee is $1,654.45, which is closest to option A: $1,653.45.
What is the percentage?The percentage is the ratio of the composition of the subject to the overall composition of the subject multiplied by 100.
Here,
To calculate the mortgage brokerage fees, you need to add the fixed fee of $300 to 1.05% of the house price. Here's how to calculate it:
Calculate 1.05% of $128,900:
0.0105 x $128,900 = $1,354.45
Add the fixed fee of $300 to the result:
$1,354.45 + $300 = $1,654.45
Therefore, the answer is $1,654.45, which is closest to option A: $1,653.45.
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Determine the approximate circumference of a circle that has an area of 200. 96 cm 2.
If an area of the circle is 200.96 cm^2 , then the circumference of the same circle is approximately around 28.28 cm^2.
The formula for the area of a circle is given by:
A = πr^2,
where A is the area and r is the radius of the circle.
To find the circumference of a circle, we can use the formula:
C = 2πr,
where C is the circumference and r is the radius.
To solve for the circumference, we first need to find the radius of the circle. We can use the formula for the area to find the radius:
A = πr^2
200 = πr^2
r^2 = 200 / π
r = √(200 / π)
Next, we can substitute the value of r into the formula for the circumference to find the circumference:
C = 2πr
C = 2π * √200 / π)
C = 2 * √(200)
Approximating √(200) to 14.14, we get:
C ≈ 2 * 14.14 = 28.28
So the approximate circumference of a circle with an area of 200 square cm is 28.28 square cm.
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Which of the following systems of equations has the solution (–1, 5)?
A.
y = 3x + 8
y = –x + 4
B.
y = 3x + 8
y = –x – 4
C.
y = 3x – 8
y = –x + 4
D.
y = 3x – 8
y = –x – 4
The correct option for the systems of equations that has the solution (–1, 5) is - A. y = 3x + 8 and y = –x + 4.
Explain about the term systems of equations?According to the discussion above, a system of equations is a collection of equations that aim to find a similar solution for all of the variables.
When there are multiple unknowns and there is sufficient data to arranged equations in those unknowns, systems of equations are utilised to solve applications. Generally speaking, when we have n uncertainties, we require n equations set up in those unknowns.For the given solution of (–1, 5).
It must satisfy the given systems of equations.
Put x = - 5 and if y = 5 comes, it satisfies the equation.
Thus,
Option A:
y = 3x + 8
Put x = -1
y = 3(-1) + 8 = 5
y = –x + 4
Put x = -1
y = -(-1) + 4
y = 5
Thus, option A satisfies the given systems of equations.
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Answer: A: y = 3x + 8
y = –x + 4
Step-by-step explanation:
Why were jews refugees more vulnerable than German jews? What does this suggest about the society's universe of obligation at the time?
Answer:
During the Holocaust, Jews who were living in Nazi-occupied countries were more vulnerable than German Jews for several reasons. First, German Jews had some level of protection under German law until 1935, when the Nuremberg Laws stripped them of their citizenship and legal rights. In contrast, Jews in occupied countries had no legal protection or rights.
Second, German Jews had more resources and networks to help them escape persecution or go into hiding, such as family members or friends who were not Jewish or non-Jewish organizations that were sympathetic to their plight. Jews in occupied countries, especially in Eastern Europe, often had less access to resources and networks because they were living in ghettos or had been transported to concentration or extermination camps.
Third, German Jews were often better-educated and assimilated into German society, which sometimes gave them advantages in finding employment or housing. Jews in occupied countries, especially in Eastern Europe, often lived in poverty and were more likely to be living in rural areas or small towns, which made them more vulnerable to persecution and deportation.
This suggests that the society's "universe of obligation" during the Holocaust was limited to certain groups of people, namely German Jews who were seen as having more value or worth than Jews in other countries. This limited universe of obligation meant that Jews in occupied countries were not considered as valuable or worthy of protection, and therefore were more vulnerable to persecution and violence. The Holocaust serves as a tragic example of how societies can create a narrow universe of obligation that excludes entire groups of people and leads to horrific consequences.
Step-by-step explanation:
If the length of diagonal of square is √2 then what is the length of
each side ?
Answer:
1
Step-by-step explanation:
The diagonal is √2 times the length of any side. So √2/√2 is 1.
From his position seated on the ground, Juan looks up at an angle of 35 degrees to the top of a flag pole that is 12 feet away. How tall is the flag pole? Equation: (Choose One) A. tan35 = B. tan35 = C. tan12 = x 12 12 x x 35 35 D. tan12 =- X A t
The equation for how tall the flag pole is h = 12sin(35)
How to determine the equation for how tall the flag pole is?From the question, we have the following parameters that can be used in our computation:
Angle = 35 degrees
Distance = 12 feet
Using the above as a guide, we have the following:
sin(angle) = height/distance
So, we have
sin(35) = h/12
This gives
h = 12sin(35)
Hence, the equation is h = 12sin(35)
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Question 6
(09.04 MC)
If sine0=1/3 what are the values of cos 0 and tan 0?
If sine0=1/3 then the values of
cos0 = 2/3
tan0 = 1/2
What is trigonometry?Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.
There are 6 commonly used functions in trigonometry with their name and abbreviations-
sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)
Given that sin 0 = 1/3, we can use the Pythagorean theorem to find the value of cos 0:
cos² 0 + sin² 0 = 1
cos² 0 = 1 - (sin 0)²
cos 0 = √(1 - (sin 0)²)
cos 0 = √(1 - (1/3)²)
cos 0 = √(1 - 1/9)
cos 0 = √(8/9)
cos 0 = √2/3
Next, we can use the relationship between sine and tangent to find the value of tan 0:
tan 0 = sin 0 / cos 0
tan 0 = 1/3 / 2/3
tan 0 = 1/2
So, the values of cos 0 and tan 0 are 2/3 and 1/2, respectively.
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Please explain how to find the answer please!!!
Before school started for the year, book bags sold for $29.95. Now that school is in session, the
same book bags are only $13.00. What is the percent of discount applied to the book
bags? Round to the nearest whole percent.
The percent of discount applied to the book bags is 56.6%.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Bookbags sold for $29.95. Now that school is in session, the same book bags are only $13.00.
So, The amount of discount is,
= $(29.95 - 13.00).
= $16.95.
Therefore, The percentage discount is,
= (16.95/29.95)×100%.
= 56.6% discount.
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SOLVE FOR X THANK U VERY MUCH!!!
In a circle value of x is,
⇒ x = 164.5
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A circle is shown in figure.
Now, We know that;
Sum of all angles in a circle is 360°.
Hence, We can formulate;
⇒ 24 + 21 + (x - 9) + (x - 5) = 360°
⇒ 45 + 2x - 14 = 360
⇒ 2x = 360 - 31
⇒ 2x = 329
⇒ x = 164.5
Thus., The value of x is,
⇒ x = 164.5
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what is 3 5 as a decimal
To convert 3/5 to a decimal, we divide the numerator by the denominator and we get 0.6. 3/5 as a decimal is 0.6.
To convert 3/5 to a decimal, we divide the numerator (3) by the denominator (5):
3 ÷ 5 = 0.6
Therefore, 3/5 as a decimal is 0.6.
Converting a fraction to a decimal involves dividing the numerator by the denominator. To convert 3/5 to a decimal, we can use long division or a calculator to perform the division. In this case, 3 divided by 5 equals 0.6. Alternatively, we can also recognize that the fraction 3/5 can be written as a decimal by dividing the numerator by the denominator. Since 3 is the same as 3.0, we can add a decimal point after 3 and divide by 5 to get 0.6. The decimal form of a fraction can be useful for making comparisons or performing calculations with other decimal numbers.
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Complete Question
what is 3/5 as a decimal?
We make 72 cookies and 18 cookies are eaten. What fraction represents the portion of the whole batch that remains?
Answer:
1/4
Step-by-step explanation:
Create a chart 18 over 72 and x over 100
Now we multiply 18 by 100 to get 1800
We take that 1800 and divide it by 72 to get 25/100
We can simplify this to 1/4
Lines and are parallel lines cut by a transversal. Use the lines and the angles formed to select all that are true statements. Select 3 correct answer(s)
a. Angle 3 and Angle 6 are vertical angles.
b. Angle 1 and Angle 5 are corresponding angles.
c. Angle 6 and Angle7 are vertical angles.
d. Angle 7 and angle 8 are supplementary angles.
e. Angle 2 and angle 4 are alternate interior angles.
f. Angle 1and angle 4 are same side interior angles.
The corrrect statements about angle are:
Angle 1 and angle 5 are corresponding anglesAngle 6 and angle 7 are vertical anglesAngle 7 and angle 8 are supplementary anglesPlease refer to the attached picture below for visualization of the angles.
Based on the attached picture, we can consider the relationship of each angle, such as:
Alternate interior angles and congruent:
Angle 4 and angle 5
Angle 3 and angle 6
Alternate exterior angles and congruent:
Angle 1 and angle 8
Angle 2 and angle 7
Consecutive interior angles and supplementary:
Angle 3 and angle 5
Angle 4 and angle 6
Corresponding angles and congruent:
Angle 1 and angle 5
Angle 2 and angle 6
Angle 3 and angle 7
Angle 4 and angle 8
Vertical angles and congruent:
Angle 1 and angle 4
Angle 2 and angle 3
Angle 5 and angle 8
Angle 6 and angle 7
Supplementary angles:
Angle 1 and angle 2
Angle 3 and angle 4
Angle 5 and angle 6
Angle 7 and angle 8
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100 points, brainliest, and multiple choice!!!!!!
Answer:
(2,1)
Step-by-step explanation:
To find the solution for the system on a graph, look where the two lines intersect, that coordinate is your answer.
What is the value of a 2 + 3 b + c − 2 d , w h e n a = 3 , b = 8 , c = 2 , a n d d = 5 ?
Answer:
Step-by-step explanation:
3*2+3*8+2-2*5=6+24-10+2=22
what is difference between parameter and statistic
Answer:
One and the same
Step-by-step explanation:
b) Lizzie has gross monthly pay of £1,480. She has to pay income tax of £112.67 and NICs of £96.48. How much is her net pay?
Her net pay is 1270.85 pounds
What is Net Pay?
Net Pay is the take-home pay an employee receives after you withhold deductions. You can find net pay by subtracting deductions from gross pay.
where,
Gross monthly pay = 1,480 pounds
Income tax = 112.67 pounds
NICs = 96.48 pounds
Net pay = Gross pay - Deductions
Net pay = 1,480 - (112.67 +96.48)
Net pay = 1480 - 209.15
Net pay = 1270.85 pounds
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Given the expression: 8x2 + 28x - 16
Part A: What is the greatest common factor? Explain how to find it. (3 points)
Part B: Factor the expression completely. Show all necessary steps. (5 points)
Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)
Part A: greatest common factor: 4.
Part B: Factor of the expression are: x = 4, 1/2.
Part c: Check for the factors are found correct.
Explain about the greatest common factor?A group of numbers' greatest common factor (GCF) is the biggest factor each of the numbers have in common. The largest number that may divide evenly into two or more other numbers is known as the greatest common factor (GCF).The given expression is-
8x² + 28x - 16 = 0
Part A: The highest number that can be taken common is 4.
4(2x² + 7x - 4) = 0
Thus, greatest common factor: 4.
Part B: Factor of the expression.
4(2x² + 7x - 4) = 0
2x² + 7x - 4 = 0
2x² + 8x - x - 4 = 0
2x(x + 4) - (x + 4) = 0
(x + 4)(2x - 1) = 0
x = 4, 1/2
Thus, the Factor of the expression are: x = 4, 1/2.
Part C: Check:
x = 4, 1/2
8x² + 28x - 16
Put x = 4
= 8(4)² + 28(4) - 16
= 0 (satisfies)
Put x = 1/2
= 8(1/2)² + 28(1/2) - 16
= 0 (satisfies)
Thus, the check for the factors are found correct.
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bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. after downloading a valid data set from the internet, he calculates the correlation. the correlation value he calculates is only 0.05. what does bob conclude?
Based on the low correlation value of 0.05, Bob concludes that the number of bedrooms in a home is not a strong predictor of its selling price.
The statistical method called correlation to measure the strength of the relationship between these two variables.
A correlation value of 0.05 indicates that there is a weak relationship between the number of bedrooms in a home and its selling price. In statistical terms, this means that the number of bedrooms in a home only explains 5% of the variation in the selling price.
A correlation value can range from -1 to 1.
A value of -1 indicates a perfect negative correlation, meaning that as the number of bedrooms in a home increases, the selling price decreases.
A value of 1 indicates a perfect positive correlation, meaning that as the number of bedrooms in a home increases, the selling price also increases.
A value of 0 indicates no correlation, meaning that there is no relationship between the number of bedrooms in a home and its selling price.
Other factors, such as location, square footage, and the overall condition of the home, likely play a larger role in determining the selling price.
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please help me on this
Answer:
I got 5/16 as my answer
Step-by-step explanation:
I used a calculator to solve the equation :/
NEED HELP PLS ANSWER QUICKLY
The missing angle measures for the similar triangles are given as follows:
m<C = 83º.m < F = 22º.m < G = 75º.m < H = 83º.What are similar triangles?Similar triangles share these two features listed as follows:
Congruent angles, that is, angles that have the same measure.Proportional side lengths.The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle C is obtained as follows:
m < C + 22 + 75 = 180
m < C = 180 - 97
m < C = 83º.
The equivalent vertices on the similar triangles share the same angle measures, hence:
m < F = m < A = 22º.m < G = m < B = 75º.m < H = m < C = 83º.More can be learned about similar triangles at brainly.com/question/11920446
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(3 x 4) ÷ 6 + 3² = [?]
Answer: 11
Step-by-step explanation:
We need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), to simplify the expression:
1: First, we solve the exponent 3², which is 3 multiplied by itself, or 3 x 3 = 9.
2: So, the expression now becomes: (3 x 4) ÷ 6 + 9
3: Next, we solve the multiplication, which is 3 x 4 = 12.
4: So, the expression becomes: 12 ÷ 6 + 9
5: Then, we solve the division, which is 12 ÷ 6 = 2.
6: So, the expression becomes: 2 + 9
7: Finally, we solve the addition, which is 2 + 9 = 11.
PLS SOME1 HELP ITS DUE IN 20 MIN!!!!!!!!!!!!!!!!!!!!!!!
A quilter created the following shape to use in a block for a new quilt. A six-sided figure with a large base of 10 and three-fifths inches. The side to the right of the base is 6 inches. The small side parallel to the base is 4 and one-fifth inches. There are two sides that form a point at a right angle. The smaller is 4 inches, and the larger is 5 inches. What is the area of the shape for the quilt block?.
The area of the shape for the quilt block is eighty three three - fifth (83 3/5) inches square.
How to calculate the areaIt should be noted that to find the area of this six-sided figure, we can break it down into two right triangles and a rectangle.
First, let's find the area of the right triangle with the 4-inch side. This triangle has a base of 4 inches and a height of 5 inches, so the area is (1/2) * 4 * 5 = 10 square inches.
Next, let's find the area of the right triangle with the 5-inch side. This triangle has a base of 5 inches and a height of 4 inches, so the area is (1/2) * 5 * 4 = 10 square inches.
Finally, let's find the area of the rectangle. This rectangle has a base of 10 and three-fifths inches and a height of 6 inches, so the area is (10 + 3/5) * 6 = 63 3/5 square inches.
The total area of the six-sided figure is:
= 10 + 10 + 63 3/5
= 83 3/5 square inches.
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a stainless patio heater is a square pyramid. the lenght of one side of the base is 21.6 in. the slant height of the pyramid is 91.3 in. what is the height of the pyramid
The height of the pyramid given by the Pythagoras theorem will be 90.66 inches.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
A square pyramid-shaped steel patio heater. One of the base's sides is 21.6 inches in length. The pyramid's slant height is 91.3 inches.
The height of the pyramid is perpendicular to the base of the pyramid. Then the height is given as,
(91.3)² = h² + (21.6 / 2)²
8,335.69 = h² + 116.64
h² = 8,219.05
h = 90.66 inches
The height of the pyramid given by the Pythagoras theorem will be 90.66 inches.
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Graph the system, and find the solution: y = 2x - 1 and y = -1/3x +3, HELP PLEASE, I HAVE A TEST ON THIS TOMORROW ILL GIVE YOU BRAINLIEST
The solution to the system of equations y = 2x - 1 and y = -1/3x + 3 is given as follows:
(1.714, 2.429).
How to obtain the solution to the system of equations?The system of equations for this problem is defined as follows:
y = 2x - 1 y = -1/3x + 3.We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
(1.714, 2.429).
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Find the value of the X, Triangle Similarity
Answer:
x = 22.5
Step-by-step explanation:
the segment from the vertex to the base is an angle bisector and divides the opposite side ( base) into segments that are proportional to the other two sides, that is
[tex]\frac{9}{x-9}[/tex] = [tex]\frac{12}{18}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2(x - 9) = 27
2x - 18 = 27 ( add 18 to both sides )
2x = 45 ( divide both sides by 2 )
x = 22.5