The length AB of the triangle ΔABC will be 5 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔABC is similar to the triangle ΔXYZ. Then the ratio of the corresponding sides will remain constant. Then the equation is given as,
AB / XY = BC / YZ
AB / 30 = 8 / 48
Simplify the equation, then we have
AB / 30 = 8 / 48
AB / 30 = 1 / 6
AB = 30 / 6
AB = 5
The length Stomach muscle of the triangle ΔABC will be 5 units.
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How do I graph y=3x+2
What property is used in the second step of solving the inequality below?
5x-9<91
5x <100
x <20
A) identity property
B) addition property
C) multiplication property
D) transitive property
In the second step of solving the inequality 5x - 9 < 91, the property used is the addition property of inequalities.
This property states that adding the same value to both sides of an inequality does not change the inequality's direction. By adding 9 to both sides of the inequality, we aim to isolate the variable term. The inequality becomes 5x < 100.
The addition property allows us to perform this operation and maintain the validity of the inequality. It is a fundamental property in solving inequalities, enabling us to simplify and manipulate expressions.
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if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents. how much would you expect to gain after 20 tosses?
We could expect $30.00 to gain after 20 tosses.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
The probability of all the events occurring need to be 1.
if the toss of a coin comes down heads, you win a dollar. if it comes down tails, you lose fifty cents.
We need to find out How much would you expect to gain after 20 tosses (in $ dollars).
Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.
Therefore, We could expect $30.00 to gain after 20 tosses.
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What is the solution to -(6 m + 8) = 4(17 - m)?
Answer:
m=-38
Step-by-step explanation:
The answer is m 38. hope this helps
a chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt, and pepper. you have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. what is the probability that the first ingredient you add is either ground beef or onion?
The probability of adding either ground beef or onion as the first ingredient 0.25 or 25%.
If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:
Probability = (Number of desired outcomes) / (Total number of possible outcomes)
= 2 / 8
= 1 / 4
= 0.25
So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.
In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.
The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.
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You need to buy apples that costs $1.40 per pound. the farmer sells her apples in bags, and your bag is 2.5 pounds. How much did you pay for your bag of apples? Using numbers and words, explain how much you paid.
Answer:
$3.50
Step-by-step explanation:
Let's split 2.5 into 2 separate parts, 2 and .5. To find how much 2 pounds of apples cost, we have to multiply $1.40 by 2. 1.40x2= 2.80. Now we have to figure out how much .5 pounds. To do this, we have to divide 1.40 by 2. We get .7. 2.80+ .7= $3.50 [or 3.5]
Please look at photo for question, thank you so much <3
When two triangles are similar the corresponding sides are always in the same ratio.
If triangle MNP is similar to traingle XYZ, the lengths of MNP needs to be in the same ratio with the corresponding sides of triangle XYZ
\(\frac{MN}{XY}=\frac{NP}{YZ}=\frac{MP}{XZ}\)\(\frac{MN}{6}=\frac{MP}{7}=\frac{NP}{9}\)Prove each of the given options lengths to find the one that makes the equation above be true:
Pair corresponding sides ordering its lengths from least XY to greatest YZ
First option:
\(\begin{gathered} \frac{12}{6}=\frac{14}{7}=\frac{20}{9} \\ 2=2=2.22 \end{gathered}\)As the ratios are not the same that cannot be the lengths of MNP
Second option:
\(\begin{gathered} \frac{30}{6}=\frac{35}{7}=\frac{45}{9} \\ 5=5=5 \\ \end{gathered}\)As the ratios are the same that can be the lengths of MNP
Third option:
\(\begin{gathered} \frac{13}{6}=\frac{14}{7}=\frac{16}{9} \\ 2.16=2=1.77 \end{gathered}\)As the ratios are not the same that cannot be the lengths of MNP
Fourth option:
\(\begin{gathered} \frac{3}{6}=\frac{4}{7}=\frac{5}{9} \\ 0.5=0.57=0.55 \end{gathered}\)As the ratios are not the same that cannot be the lengths of MNP
Then, the lengths of MNP could be: 30cm,35cm,45cmIf the equation F(x,y,z)=0
determines z as a differentiable function of x and y, then, at the points where Fz≠0, the following equations are true.
∂z/∂x=−Fx/Fz and ∂z/∂y=−Fy/Fz.
Use these equations to find the values of ∂z/∂x and ∂z/∂y at the given point. 3z^3 − 3xy − 5yz + y^3 −9 = 0 , ( 2 , 3 , 3 )
The point (2, 3, 3), we have:
∂z/∂x = 1/8
∂z/∂y = -1/6
To use the equations given in the problem, we first need to check if Fz is not equal to zero at the point (2, 3, 3) in the equation 3z^3 − 3xy − 5yz + y^3 −9 = 0.
We can find Fz by taking the partial derivative of F with respect to z:
Fz = 9z^2 - 5y
At (2, 3, 3), we have:
Fz(2, 3, 3) = 9(3)^2 - 5(3) = 72
Since Fz is not equal to zero at the point (2, 3, 3), we can use the equations given in the problem to find ∂z/∂x and ∂z/∂y.
∂z/∂x = −Fx/Fz
To find Fx, we take the partial derivative of F with respect to x:
Fx = -3y
Therefore,
∂z/∂x = −Fx/Fz = -(-3y)/72 = 3y/72 = y/24
At the point (2, 3, 3), we have:
∂z/∂x (2, 3, 3) = 3/24 = 1/8
∂z/∂y = −Fy/Fz
To find Fy, we take the partial derivative of F with respect to y:
Fy = -5z + 3y^2
Therefore,
∂z/∂y = −Fy/Fz = -(-5z + 3y^2)/72 = (5z - 3y^2)/72
At the point (2, 3, 3), we have:
∂z/∂y (2, 3, 3) = (5(3) - 3(3)^2)/72 = -4/24 = -1/6
Therefore, at the point (2, 3, 3), we have:
∂z/∂x = 1/8
∂z/∂y = -1/6
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Heather has divided $5600 between two investments, one paying 9% the other paying 5%. If the return investment is $396, how much does she have in each investment?
Answer:
x = 2700 y=2900
Step-by-step explanation:
x+y = 5600
5/100 x + 9/100 y = 396
x+y=5600
5x+9y=39600
5x+5y = 28000
5x+9y=39600
-4y = -11600
y= 2900
x = 5600-2900 = 2700
enlarge shape q by a scale factor of -1/2 around the centre point (0,0
The new coordinates of the point in the transformed shape would be (-1/2x, -1/2y).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
A scale factor of -1/2 around the center point (0,0) would reflect the shape across the origin and also shrink it by a factor of 1/2.
The transformation can be represented by the matrix:
[-1/2 0]
[ 0 -1/2]
This matrix would be applied to the coordinates of each point in the shape to obtain the new coordinates of the transformed shape.
So, if a point in the shape had coordinates (x, y), the new coordinates of the point in the transformed shape would be (-1/2x, -1/2y).
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The question seems to be incomplete the correct question would be:
Enlarge shape q by a scale factor of -1/2 around the center point (0,0). if a point in the shape had coordinates (x, y), what are the new coordinates?
Which one is linear or nonlinear?
Answer:
broo I have to download it just take a screenshot.....
Solve 20x + 5y = 15 for y
Answer:
Step-by-step explanation:
20x+5y=15
Subtract 20x from both sides.
5y=15−20x
Divide both sides by 5.
__5y_ = _15-20x_____
5 5
y= __15-20______
5
Divide 15−20x by 5.
y=3−4x
8,736 x 6 please and thank you<3 I’m way to lazy to do the math.
Answer:
2
Step-by-step explanation:
2+2ΩΩ··Ω·Ω<~]°μμ°°Гekdksdd
Kate has 18 carnival ride tickets. Each ride takes 3 tickets. Kate would like to ride with Brian and Emily. Are there enough tickets for each person to ride 2 rides?
Answer:
give me brainllest if right
no
Step-by-step explanation:
PLEASE HELP I NEED THE ANSWER QUICK!!!
What is the Length/ value of N
Answer:
n = 104
Step-by-step explanation:
Answer:
n = 104
Step-by-step explanation:
Use the property to complete the statement.
20. Reflexive Property of Equality: m2D = ?
21. Transitive Property of Congruence:
If PQ = RS and RS = TU, then ? =
Answer:
See step by step. Use the mathematical geometric symbols not the actual words.
Step-by-step explanation:
20. Measurement of angle D
21. PQ is congruent to TU
Johnathan can spend at most $30 at the amusement park. It costs $12.00 for admission and each ride costs $3.00. Which inequality shows the number of rides that Johnathan will be able to ride at the amusement park? PLS HELP
Answer:
3r + 12 ≤ 30
Step-by-step explanation:
He can spend at most $30, so the amount he can spend is less than or equal to (≤) $30.
amount he will spend ≤ 30
Let r = number of rides.
The amount he will spend is composed of 2 parts:
(a) a fixed cost of $12.00, or just 12.
(b) a per ride cost of $3.00, or 3r.
amount he will spend = 3r + 12
Since we know the amount must be less than or equal to $30.00, the inequality is:
3r + 12 ≤ 30
somebody help me: Benjamin needs a new pair of shoes as soon as possible, so he decides to buy a pair online. He finds a pair of Nikes that he likes originally priced at $112.99. He has a coupon for 10% off and the Nike store was also offering a 20% off sale for all online purchases. Additionally, he will have to pay 6.5% for sales tax and $3.25 for shipping. What is the total price he will pay?
Answer:
The total price he will pay is 89.89.
Step-by-step explanation:
112.99 - 112.99*0.2 = 90.392 (this is the 20 percent off for online purchases)
90.392 - 90.392*0.1 = 81.3528 (this is the 10 percent off coupon)
81.3528 + 81.3528*0.065 = 86.640732 (this is the 6.5% sales tax)
86.640732 + 3.25 = 89.890732 (this is the shipping cost)
Rounded to the nearest hundredth, the answer is 89.89.
Hope this helps!
Mark as brainliest please
Someone plz help me this is urgent!
Answer:
5^12
Step-by-step explanation:
When you have a power to the power, you multiply the powers. Since we have (5^3)^4, we can multiply the powers because we have a power to the power. Since 3 * 4 is equal to 12, we have 5^12. That means that 5^12 is the answer.
Answer:
1250
Step-by-step explanation:
5 times 5 times 5
What I the slope of each line? Y=1/2 x - 4
y= 2x -3
Answer:
1/2
2
Step-by-step explanation:
y = 1/2x - 4 (the slope for this line is 1/2)
y = 2x - 3 (the slope for this line is 2)
Hope this helps!
Step-by-step explanation:
the slope is always the factor of x (a) in the line equation.
either in
y = ax + b
or in
y - y1 = a(x - x1) with (x1, y1) being a point on the line.
it represents the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.
and so, the slopes of the 2 lines are
1/2
2
select the equation that has no solution
Answer:
8(x-3)+14=2(4x+5)
Step-by-step explanation:
Look at the attachment for further explanation
Hope this helps (:
2) Given: Mean = .34 and Standard Deviation = .08, Calculate the margin of error.
To calculate the margin of error, you need to determine the critical value associated with the desired level of confidence. The margin of error is then obtained by multiplying the critical value by the standard deviation.
Let's assume you want to calculate the margin of error for a 95% confidence level. For a normal distribution, the critical value corresponding to a 95% confidence level is approximately 1.96.
Margin of Error = Critical Value * Standard Deviation
Using the given values:
Standard Deviation = 0.08
For a 95% confidence level:
Critical Value = 1.96
Margin of Error = 1.96 * 0.08
Calculating the margin of error:
Margin of Error = 0.1568
Therefore, the margin of error is approximately 0.1568
A shipping container is in the shape of a right rectangular prism with a length of 5-5 feet, a width of 12 feet, and a height of 7.5 feet. The container is completely filled with contents that weigh, on average, 0.75 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
186 pounds
Step-by-step explanation:
volume : base area × height
area of rectangular triangle : a×b/2
Vp = (5.5 × 12 / 2) × 7.5 = 33 × 7.5 = 247.5 ft³
the weight of the contents : 247.5 × 0.75 = 185.625 pounds
= 186 pounds (rounded)
find the domain f(x)=√x-6
The domain of the square root function is:
x ≥6
How to find the domain of the square root function?Remember that for any function y = f(x), we define the domain as the set of the possible inputs of the function. That is, the set of the possible values of x.
Here we have the square root function:
f(x) = √(x - 6)
Now, remember that the argument of a square root must be zero or larger, then to find the domain we need to solve:
x - 6 = 0
x = 6
Then the domain is the set of all the values equal to or larger than 6.
The domain is: x ≥6
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The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points? 2 3 6 9
Solution :
the differences in the X coordinates and Y coordinates:
The x-coordinate tells you how many steps you have to take to the right (positive) or left (negative) on the x-axis. And the y-coordinate tells you have many steps to move up (positive) or down (negative) on the y-axis.
Given : difference in the x-coordinates of two points is 3
the difference in the y-coordinates of the two points is 6
The slope of the line :
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
Tan θ = Δy/Δx can also represent the slope of the line
So, tan θ to be the slope of a line.
Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The letter ‘ m’ usually represents the slope.
If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:
Slope,
m = Change in y-coordinates/Change in x-coordinates
m = (y2 – y1)/(x2 – x1)
Therefore, based on the above formula, we can easily calculate the slope of a line between two points.
In other terms, the slope of a line between two points is also said to be the rise of the line from one point to another (along the y-axis) over the run (along the x-axis). Therefore,
Slope, m = Rise/Run
Use the slope formula.
the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or
the change in the y values over the change in the x values.
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2. It does not matter which point you label as the first point and which you label as the second. Don't forget to include the correct sign of each value. Simplify to get the value of the slope. Check the your answer by graphing the points and verifying that the vertical distance between the two points and the horizontal distance between the two points is captured by the numerator and denominator of the slope
Ponit (2,3) & (6,9)
Slope of Line = y2-y1/x2-x1
= 9-3/3-2
=6/1
Slope of Line = 6
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5) True or False? (Explain.)
a) Vertical angles have the same measure.
b) A circle has infinitely many reflection
symmetries.
c) A triangle has at most one right angle or one obtuse
angle
a) It is true statement
b) It is true statement
c) It is False statement
From the question, we have the three options are available.
To tell about these options, which option is true or false.
Now, According to the question:
a) Vertical angles have the same measure.
Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.
It is true statement.
b) A circle has infinitely many reflection symmetries.
Any line passing through the center of the circle will cut it into two equal halves. Hence, a circle has infinite lines of symmetry.
It is true statement
c) A triangle has at most one right angle or one obtuse angle
No, a triangle cannot have both obtuse and right angles, as the sum of the three angles cannot exceed 180 degrees.
It is FALSE statement.
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brendon, miguel, and jeron run around the track. they start at the same time place and at the same time they each run at a steady rate brendon completes a lap in 4 mintues, miguel completes a lap in 6 minutes, and jeron completes a lap in 3 minutes. the boys want to know how many minutes it will take after they start running until they complete a lap at the same time. how many minutes will it take until brandon mohuel and jeron first complete a lap at the same time
The number of minutes it will take for them to complete a lap at the same time is given as follows:
12 minutes.
How to obtain the number of minutes?Considering periodic events, they will complete a lap at the same time for the least common factor of the periods of each event.
The periods for each person are given as follows:
Brendon: 4 minutes.Miguel: 6 minutes.Jeron: 3 minutes.Then the least common factor is obtained as follows:
4 - 6 - 3|2
2 - 3 - 3|2
1 - 3 - 3|3
1 - 1 - 1
Hence:
lcf(4, 6, 3) = 2² x 3 = 12 minutes.
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A water pipe has an outside diameter of 1 1/4 inches and a wall thickness of 5/16 inches. what is the inside diameter of the pipe?
Answer:
Step-by-step explanation:
There's a small trick here. You have to double the thickness. Why? Because the outside diameter goes through the thickness twice.
Inside diameter = outside diameter - 2 * thickness
outside diameter = 1 1/4 inches
thickness = 5/16
Inside diameter = 1 1/4 - 2 * 5/16
inside diameter = 5/4 - 10/16
Inside diameter = 5/4 - 5/8
Inside diameter = 10/8 - 5/8
Inside diameter = 5/8
You graph the function f(x)=-lxl-12 in the standard viewing window of –10 to 10. Will you be able to see the graph? Explain.
we can only see a portion of the graph of this function in the standard viewing window of -10 to 10.
What is Graph ?
In mathematics, a graph is a visual representation of a set of objects, such as numbers or data points, and the relationships between them. Graphs can be used to represent a variety of mathematical concepts, including functions, sets of data, and geometric shapes.
The function f(x) = -|x| - 12 is a piecewise function. When x is greater than or equal to zero, the function simplifies to f(x) = -x - 12, and when x is less than zero, it simplifies to f(x) = x - 12.
If we graph both of these pieces separately, we get two straight lines that intersect at the point (0, -12), where the absolute value of x changes sign. The slope of both lines is -1, which means they are both downward sloping with a negative slope.
When we graph this function in the standard viewing window of -10 to 10, we can see the part of the graph where x is greater than or equal to zero, which is the left side of the graph, but the part where x is less than zero, which is the right side of the graph, is outside the viewing window.
Therefore, we can only see a portion of the graph of this function in the standard viewing window of -10 to 10.
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Pls help Lila's mom is decorating her room and placed acircular rug near her window for story time.How much space does this rug take up if its diametermeasures 25 feet?
Step1: Write the area of the circular Rug
The area of the circle is
\(\Pi r^2\)From the question the diameter is 25feet, hence the radius is
\(\begin{gathered} \text{radius}=\frac{diameter}{2} \\ =\frac{25}{2} \end{gathered}\)Step2: substitute the value into the formula
\(\begin{gathered} \text{area of circular rug=area of a circle=}\Pi r^2 \\ =\frac{22}{7}\times\frac{25}{2}\times\frac{25}{2} \\ =\frac{13750}{28} \\ =491.07ft^2 \end{gathered}\)Hence the area of the circular rug is 491.07 square feet
The will take approximately 491square feetyou