Bonus: Find the measure indicated. *
10 points
Use the diagram shown. BD is the perpendicular blsector of AC.
AD is 10 Inches long. BD is 6 inches long. Find the length of AC.
D
A
B
AC =
in.
Answers
Answer:
AC = 16 in.
Step-by-step explanation:
AD = CD = 10 in.
BD = 6 in.
AC = 2(AB) = ?
Apply pythagorean theorem to find AB
AB² = AD² - BD²
Substitute
AB² = 10² - 6²
AB² = 64
AB = √64
AB = 8
Therefore:
AC = 2(AB) = 2(8)
AC = 16 in.
Related Questions
A shopper at a local supermarket spent the following amounts in her last eight trips to the store: $32.92 $14.14 $30.80 $28.34 $75.58 $36.33 $33.51 $22.94 The amount spent of________ is most likely an outlier.
Answers
Answer:
$75.58
The amount spent of $75.58 is most likely an outlier
Step-by-step explanation:
An outliers are unusual values in a dataset, they are data values that are extremely higher or extremely lower when compared to the other values in a data (data points that are far from other data points)
For the case above, give a dataset;
$32.92 $14.14 $30.80 $28.34 $75.58 $36.33 $33.51 $22.94
$75.58 is extremely far from other value. So $75.58 is an outlier in the given dataset.
Submit your answers to the following questions. Be sure to explain your reasoning for each; it is helpful to draw this out to get started to see any quantitative patterns that develop.
If you write the counting numbers in rows of 7 numbers each, like shown below (but you keep going), where all the number line up in seven vertical columns as you go. (Note in the example below, the number 13 is in the 2nd row and the 6th column.)
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
In which column would the number 100 land?
In which row?
Now write the counting numbers in rows of 6 numbers each. What’s the location of 100 in this array?
Write arrays with other length rows. Find a way to predict in which row and column 100 will land for any array of numbers.
Answers
The number 100 would land in column 2
The number 100 would land in row 14The location of 100 in rows of 6 numbers is row 16 and column 3The location of 100 in rows of n numbers is row q and column rIn which column would the number 100 land?Given that we have the array of numbers
The length of each row in the array is 7
Dividing 100 by 7, we have
100/7 = 14 Remainder 2
This means that
Column = 2
In which row would the number 100 land?In (a), we have
100/7 = 14 Remainder 2
This means that
Row = 14
The location of 100 in rows of 6 numbersHere, we have
The length of each row in the array is 6
Dividing 100 by 6, we have
100/6 = 16 Remainder 3
So, the location of 100 in rows of 6 numbers is row 16 and column 3
Predicting the row and column 100 will landLet the length of each row in the array be n
Dividing 100 by n, we have
100/n = q Remainder r
This means that the location of 100 in rows of n numbers is row q and column r
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Determine the measure of the missing angle in the figure below.
DRAG & DROP THE ANSWER
90
45
75
Missing angle:
Answers
Answer:
Step-by-step explanation:
Which equation is equivalent to 2 Superscript 4 x Baseline = 8 Superscript x minus 3?
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 3
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 6
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 3
Answers
The equivalent exponential equations are given as follows:
\(2^{4x} = 2^{3(x - 3)}\)
How to obtain the equivalent exponential expression?The exponential expression for this problem is defined as follows:
\(2^{4x} = 8^{x - 3}\)
The number eight is the third power of 3, that is:
8 = 2³.
The power of a power rule is used when a single base is elevated to multiple exponents.
Then the simplified expression is obtained keeping the base, while the exponents are multiplied.
Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:
\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)
Meaning that the correct option is given by the fourth option.
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The company that Sabrina works for has given her $100 to spend on tea and coffee for the office. Tea costs $18 per
pound, and coffee costs $15 per pound.
Write an equation that represents the amount of tea and coffee Sabrina can purchase. From the equation, create a graph
and use it to determine how much tea Sabrina can buy if she buys 3 pounds of coffee.
To begin, write an equation in standard form that deschibes the situation. Let t = amount of tea, and let
c = amount of coffee.
Which equation models the situation?
18t+15c 100
O + ² = 100
Ot+c=100
15t+18c= 100
Answers
18t+15c = 100 equation models the situation or this equation represents
the amount of tea and coffee Sabrina can purchase.
We can solve this problem following a few steps, first of all, Sabrina has given us 100$ for tea and coffee. The cost for the coffee is 15$ and 18$ for tea.
Let t = amount of tea, and let c = amount of coffee, as mentioned in the question.
For a unit amount of coffee, the price is 15$
For c amount of coffee the price is 15 c $
and for a unit amount of tea, it is 18$
For t unit amount of tea is 18 t $
Total expenditure for tea and coffee is 15c + 18 t, which is equivalent to 100$
∵ The model equation is 15c + 18 t = 100
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What amount will Chris and Allison report for taxable interest on their Form 1040? The couple's partially completed Form 1040, page 1, is shown below. You may use the form to assist you in answering this question.
Answers
Answer:
Step-by-step explanation:
The hottest temperature ever recorded in a certain state was 124°F. It was recorded on July 6, 1936. Less than five months earlier, on February 15, 1936, the lowest temperature in the state's history was recorded −60°F. What is the difference between hottest and lowest temperatures?
Answers
Answer:
Step-by-step explanation:
A high temperature of 121 degrees was measured as far north as Steele, North Dakota on July 6, 1936 and many of the records
how does the percent equation help solve markup problems i will mark brainliest
Answers
ZABC and ZQRS are supplementary angles,
If the measure of ZABC = 100°, what is the
measure of ZQRS?
mZQRS = [?]°
Answers
Answer:
Solution given:
<ABC+<QRS=180°[supplementary]
<QRS=180°-100°
<QRS=80° is your answer
If f(x)=x² – 4x, what is the value of 2f(a-1)?
Answers
The correct value of 2f(a-1) is 2a^2 - 12a + 10.
To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.
Given: f(x) = x^2 - 4x
Substituting (a-1) into the function:
f(a-1) = (a-1)^2 - 4(a-1)
Expanding and simplifying:
f(a-1) = (a^2 - 2a + 1) - (4a - 4)
f(a-1) = a^2 - 2a + 1 - 4a + 4
f(a-1) = a^2 - 6a + 5
Now, we multiply the result by 2:
2f(a-1) = 2(a^2 - 6a + 5)
Expanding:
2f(a-1) = 2a^2 - 12a + 10
Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.
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If Janet rolls a fair 6-sided number cube 300 times, what is a reasonable prediction
on how many times she will roll a 5?
Answers
There are 50 predicted rolls for 5 in 300 times of rolls.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Janet rolls a 6-sided number cube 300 times,
Probability = (Favourable Outcomes)/(Possible Outcomes)
Favourable Outcomes: 5 (1 total)
Possible Outcomes: 1,2,3,4,5,6 (6 total)
Probability of a 5 in any given roll of a die = 1/6
1/6x300 = 50 = 50 predicted roll with 5.
Hence, There are 50 predicted rolls for 5 in 300 times of rolls.
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Please help me anyone please ????):
Answers
Answer:
Step-by-step explanation:
man the formula is right there!
two points: (3,2) and (7,5)
\(y_2=5\\y_1=2\\x_2=7\\x_1=3\\slope=\frac{5-2}{7-3}=.75\)
which graph represents the solutions to this system of inequalities? x=5y≤10
Answers
The graph that represents the inequality 5y≤10 is plotted below.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The given inequality is 5y≤10.
In a graph of an inequality, the symbols (<,>) are represented using a dotted line and the symbols (≤,≥) are represented using a straight line.
So, the graph of inequality 5y≤10 will have a straight line.
Now, writing the inequality 5y≤10 in slope-intercept form y = mx + b -
5y = 10
5y = 0x + 10
Substituting the values of x and y with origin (0,0) -
5(0) = 0(0) + 10
0 = 10
Putting the inequality symbol back -
0 ≤ 10
Since, 0 ≤ 10 is true hence the shaded region of graph will cover the origin.
On solving 5y = 10 -
y = 2
Hence the points of the inequality will be (0,2).
Therefore, the graph for the inequality 5y≤10 is plotted.
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2. In 2010. Clark's enrollment was 2800. Enrollment has grown approximately 2.5% each year since then, Write an exponential function and use it to estimate the enrollment in 2022.
Answers
Answer:
Step-by-step explanation:
An exponential equation has the form
\(y=ar^x\text{y=final, a=initial, r=common ratio, x=term number}\\ \\ y=2800(1.025^x)\\ \\ y(2022)=2800(1.025^{(2020-2010)}\\ \\ y(2022)\approx 3766\)
Examine parallelogram ABCD.
Answers
Make both equations equal:
8x+2 = 9x+8
2 = x+8
-6 = x
Which is a way to model 9485 with base ten blocks
Answers
The most appropriate way to model 9485 with the base ten blocks is
9 - thousand, 4 - hundred, 8- ten, and 5 - once.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Base ten block implies the number of blocks according to the digit representation,
For the given question,
The number represents there are 9485 cubes, which can be represented as 9 - thousand, 4 - hundred, 8- ten, and 5 - once.
Thus, the most appropriate way to model 9485 with the base ten blocks is 9 - thousand, 4 - hundred, 8- ten, and 5 - once.
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Explain how to graph the given piecewise-defined
function. Be sure to specify the type of endpoint each
piece of the function will have and why.
f(x)
X + 3, x < 2
3,
2 ≤ x < 4
4 - 2x,
X 2 4
Answers
The Piecewise -Defined function and how it is graphed is given below..
What is the explanation of how the Piecewise -Defined function is graphed?
Given the function in the attached image,
The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.See the attached Graph for better understanding.
f(x) = -x + 3 is coded purple.f(x) = 3 is coded orange.f(x) = 4 - 2x is coded green.Learn more about Piecewise -Defined function:
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Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
possible answers -
By the cross product property, AB2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by AD.
By the cross product property, AB2 = BC multiplied by AD.
Answers
The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:
Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.
By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).
Using the proportionality of similar triangles, we can write the following ratio:
\($\frac{AB}{BC} = \frac{AD}{AB}$\)
Cross-multiplying, we get:
\($AB^2 = BC \cdot AD$\)
Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:
\($\frac{AC}{BC} = \frac{AD}{AC}$\)
Cross-multiplying, we have:
\($AC^2 = BC \cdot AD$\)
Now, we can substitute the derived expressions into the original equation:
\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)
It was made possible by cross-product property.
Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
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Jillian said StartRoot 25 EndRoot is irrational because it is a square root. Why is she incorrect? Jillian is incorrect because the square root of StartRoot 25 EndRoot = 5.5. Jillian is incorrect because a square root is always rational. Jillian is incorrect because square roots of perfect squares are rational. Jillian is incorrect because the decimal expansion of StartRoot 25 EndRoot is a repeating decimal.
Answers
Answer:
Jillian is incorrect because square roots of perfect squares are rational.
Step-by-step explanation:
√25 = √(5²) = 5 - rational
25 is perfect square.
Answer:
C
Step-by-step explanation:
Square root of perfect square are rational.
A rational number is one that has a finite point meaning it can be changed to a proper fraction.
For example;
√6 =2.44948..... and it continues.
It has not finite point hence this is irrational.
While
√25 = 5
It has a finite point.
helppp pleass fastt i love you wallllaa
Answers
Answer:
one solution:1
infinite no. of solutions: 2
no solution:3
Step-by-step explanation:
one solution because it intersects in one point
infinite no. of solutions because we have only one line so we have infinitely many solutions.
no solution because 2 parallel will never intersect
hope I helped habibti
an air traffic controller is tracking two planes. to start plane A is at the altitude of 4000 feet and plane B is at an altitude of 3146 feet. plane A is gaining altitude at 33.5 feet per second and plane B is gaining altitude at 50.75 feet per second
Answers
the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.
What is plane?A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.
Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:
altitude of plane A = 4000 + 33.5t
altitude of plane B = 3146 + 50.75t
where t represents time in seconds.
To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:
4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:
854 + 33.5t = 50.75t
Subtracting 33.5t from both sides, we get:
854 = 17.25t
Dividing both sides by 17.25, we get:
t = 49.45 seconds
Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:
altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet
Using the equation for plane B, we get:
altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet
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Does anyone know how to do this? Please help!
Answers
So that would make the formula: (3.14)R^2-(3.14)r^2 = A
The only unknown variables that you need to find are the radii of the two circles
The smaller circle:
You are given the diameter, and the diameter is 1/2 the radius,
so r= 1/2(11.25) = 5.625
The larger circle:
You are given the width, which is the total added onto the diameter of the smaller circle so:
(11.25+3.75)/2=7.5
and now that you know R, you can plug into the equation found at the start: (3.14)R^2-(3.14)r^2 = A
(3.14)(7.5^2)-(3.14)(5.625^2)=A
A=176.71-99.35
A=77.36 ft^2
graph each equation by using a table -3=5x-y
Answers
The graph of the equation is shown below
Graph of linear equations
From the question, we are to graph the given equation
The given equation is
-3 = 5x - y
To graph the equation,
First we will determine the x-intercept and y-intercept
x-intercept
Put y = 0 in the equation
-3 = 5x - 0
-3 = 5x
x = -3/5
y-intercept
Put x = 0 in the equation
-3 = 5(0) - y
-3 = 0 - y
-3 = -y
y = 3
Using the x-intercepts and y-intercepts, we can plot the graph of the equation.
The graph of the equation is shown below
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Plsss help me with this math question!!!
Answers
Answer:
Option c.
Step-by-step explanation:
Volume = length * breadth *height
According to the question,
(3/2 * 1/2 * 2)ft^3
= 3/2ft^3
Hope this helped :)
Amadi is three times as old as Chima. The sum of their ages is 24
Answers
Answer:
Amadi: 20 years old
Chima : 4 years old
Write a two-step equation with a solution of 6. Write the equation using both words and symbols.
Answers
Answer:
x+6=y
Step-by-step explanation:
how to solve the length of a side of a triangular pyramid with three right angles and three given sides
Answers
To solve for the length of a side of such a pyramid, given its three sides, we can use the Pythagorean theorem.
How to Solve for the Length of a Side of a Triangular PyramidA triangular pyramid with three right angles is known as a right triangular pyramid or a tetrahedron.
1. Identify the three sides of the pyramid:
The sides can be labelled a, b, and c.
2. Determine which sides form the right angles:
In a right triangular pyramid, two sides will be perpendicular to each other, forming the right angles. Let's assume sides a and b form the right angles.
3. Apply the Pythagorean theorem:
Using the Pythagorean theorem, we can write the equation:
a² + b² = c²
4. Substitute the given values:
Plug in the lengths of sides a and b into the equation.
5. Solve for c:
Simplify and solve the equation to find the length of side c, which represents the length of the remaining side of the triangular pyramid.
By following these steps, you can determine the length of the side of a right triangular pyramid when the lengths of the other three sides are given.
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pleaseeeee help (15 points)
Answers
Answer:
Step-by-step explanation:
what are the vocabulary words that u are supposed to use?
How to solve this question. I need to show my work for this question.
A cookie recipe calls for 3 eggs and makes 4 dozen cookies.
a). How many cookies could you make with a dozen eggs?
b). How many eggs would you need to make 18 dozen cookies?
Answers
Step-by-step explanation:
Recall that 1 dozen = 12 so 4 dozen cookies has a total of 48 cookies. We are going to use the following ratios to solve the problem:
\(\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right)\) and \(\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right)\)
a) \(12\:\text{eggs}×\left(\dfrac{48\:\text{cookies}}{3\:\text{eggs}}\right) = 192\:\text{cookies}\)
b) 18 dozen cookies = 216 cookies
\(216\:\text{cookies}×\left(\dfrac{3\:\text{eggs}}{48\:\text{cookies}}\right) = 13.5\:\text{eggs}\)
Choose the expression which represents the phrase, “the sum of 12 and a number H”
Answers
Answer:
the correct answer is option C
Answer:
Hello There!!
Step-by-step explanation:
The answer is c. 12+h as sum means adding 12 and then with h.
hope this helps,have a great day!!
~Pinky~