10 3/8. I had this exact question for homework and answered this and got it correct, so I'm pretty sure this is correct :)
somebody Please help me please
What statement is missing in step 4
The correct option c ) m∠5 + m∠2 = m∠3 + m∠2, is the missing statement in step 4.
Explain about the traversal of parallel line?When a transversal divides two parallel lines, the resulting alternate interior angles are congruent.
The pairs of angles from outside two lines and on either side of a transversal that cuts two lines are referred to as the alternate external angles.Lines that never intersect and always remain the exact same distance apart are said to be parallel. A line that crosses 2 or more additional lines is referred to as a transversal.Alternative External Angles are congruent if a transversal cuts two parallel lines. When a transversal cuts two parallel lines, the resulting angles are congruent.Thus, m∠5 + m∠2 = m∠3 + m∠2, is the missing statement in step 4.
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An aquarium can be modeled as a right rectangular prism and it can hold 1120 cubic inches of water when it is full. Its length is 20 in and width is 8 in. Find the height of the aquarium in inches. Round your answer to the nearest tenth if necessary.
The height of the right rectangular prism aquarium is 7 inches
How to determine the height of the aquariumWe can use the formula for the volume of a right rectangular prism to find the height of the aquarium.
The formula is V = l x w x h,
Where V is the volume, l is the length, w is the width, and h is the height.
In this case, we know that the volume of the aquarium is 1120 cubic inches, the length is 20 inches, and the width is 8 inches.
Therefore, we can write:
1120 = 20 x 8 x h
Simplifying the right side of the equation, we get:
1120 = 160h
Dividing both sides by 160, we obtain:
h = 1120/160 = 7
Therefore, the height of the aquarium is 7 inches.
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Answer:7
Step-by-step explanation:
Does it really matter if a person keeps failing math tests or is known to not be good in maths? how does that affect him/her?
Answer: It doesn't really matter
Step-by-step explanation: This is more of an opinion question, but failing math tests doesn't mean you aren't good at math, some people have different reasons why they don't try at math. Math tests don't define how good or bad you really are in math. You can fail a math test and be good at math, but not passing math tests might also create a lot of issues in the careers you're trying to persuade in because math is one of the most useful subjects. If colleges see your math scores and how badly you performed in them, they won't pick you, which is why is always nice to try no matter how easy or hard it is.
Whats the easiest way to solve "two unit multipliers"?
The easiest way to solve problems involving "two unit multipliers" is to use a technique called unit conversion or dimensional analysis.
To solve such problems, you need to convert the given value from one unit to another by multiplying it by a series of conversion factors or unit multipliers. A conversion factor is a fraction that has the same value as one, but its numerator and denominator are expressed in different units.
For example, to convert 10 meters to feet, you can use the conversion factor:
1 meter = 3.28 feet
To convert 10 meters to feet, you would multiply 10 by the conversion factor:
10 meters * (3.28 feet/1 meter) = 32.8 feet
The meters unit cancels out, leaving you with the desired unit of feet.
In some cases, you may need to use multiple conversion factors to get from one unit to another. In these cases, you can multiply or divide the conversion factors to cancel out the unwanted units until you get to the desired unit.
Using unit conversion or dimensional analysis is an effective way to solve problems involving two unit multipliers because it ensures that the units cancel out correctly, and you end up with the desired unit in your final answer.
Terri and her father caught 7 fish on a recent fishing trip. The weights of the fish are listed below, in pounds. 5.6, 11.0, 4.0, 12.2, 7.0, 10.0, 4.2 Which statement is supported by the data?
The heaviest fish caught weighed more than 12 pounds.
What is mean in statistics?
In statistics, the mean is a measure of central tendency, which represents the average value of a set of numbers. It is calculated by adding up all the values in the data set and dividing the sum by the number of values. The mean is also called the arithmetic mean or the average. It is commonly used to describe the typical value of a group of numbers.
To determine which statement is supported by the data, we need to analyze the weights of the fish that Terri and her father caught. Here are some possible statements that could be supported by the data:
A. The average weight of the fish caught was less than 7 pounds.
B. The heaviest fish caught weighed more than 12 pounds.
C. The total weight of the fish caught was more than 60 pounds.
D. The range of weights of the fish caught was between 4 and 12 pounds.
To determine which statement is supported, we can calculate some basic statistics:
Mean (average) weight: (5.6 + 11.0 + 4.0 + 12.2 + 7.0 + 10.0 + 4.2) / 7 = 7.8 pounds
Maximum weight: 12.2 pounds
Minimum weight: 4.0 pounds
Range of weights: 12.2 - 4.0 = 8.2 pounds
Total weight: 5.6 + 11.0 + 4.0 + 12.2 + 7.0 + 10.0 + 4.2 = 54 pounds
Based on this analysis, we can see that statement C ("The total weight of the fish caught was more than 60 pounds") is not supported by the data, as the total weight was only 54 pounds.
Statement A ("The average weight of the fish caught was less than 7 pounds") is also not supported, as the average weight was 7.8 pounds.
Statement B ("The heaviest fish caught weighed more than 12 pounds") is supported, as the heaviest fish weighed 12.2 pounds.
Finally, statement D ("The range of weights of the fish caught was between 4 and 12 pounds") is also supported, as the weights ranged from 4.0 to 12.2 pounds.
Therefore, the correct answer is either B or D, depending on the context of the question.
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Graph the image of the given triangle, reflected across the y = x line.
Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides. To close the triangle, select the first point again.
The image reflected by the line of the triangle is attached below.
What is an image?
A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.
The coordinates of the vertices of the triangle are (1, -2), (8,1), (4,-9).
The rule of reflection across the y = x line is (x,y) → (y,x).
The reflection of (1, -2) across the y = x line is (-2,1).
The reflection of (8,1) across the y = x line is (1,8).
The reflection of (4,-9) across the y = x line is (-9,4).
The coordinates of the vertices of the reflected triangle are (-2,1), (1,8), and (-9,4).
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At the grocery store 5 apples cost 4.25. how much will one apple cost?
Answer:$0.85
Step-by-step explanation: 4.25/5=0.85
What is the monthly interest rate if the annual interest rate is 24%?
Answer: 2%
Step-by-step explanation:
annual interest rate is based off a year
monthly is based off month
there are 12 months in a year, so to find the monthly interest you just divide the annual interest by 12.
Triangle with angles A= 30 degrees mB =60 degrees Mac = 90 degrees which is true
We have a right triangle with sharp angles measuring 30 and 60 degrees, proving the assertion "Triangle with angles A= 30 degrees, B= 60 degrees, C= 90 degrees" to be true.
How are triangles determined by angles?To assess whether the supplied angles may form a triangle, we can use the knowledge that the total of the angles in a triangle is always 180 degrees. Let's figure up the angles' total:
180 degrees is equal to A + B + C = 30 + 60 + 90.
The supplied angles can definitely form a triangle because the sum of the angles is 180 degrees. We can now utilise the data to identify the kind of triangle.
The angles indicate that a right triangle with a 90-degree angle (angle C) and acute angles of 30 degrees and 60 degrees (angles A and B) exists (angle B).
The measurements of angles A and B are compatible with the available information since the total of the acute angles in a right triangle is always 90 degrees.
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SOMEONE ANSWER THIS PLEASE THE QUESTION IS ON THE SIDE IN THE PICTURE
Answer:
Step-by-step explanation:
I'm unable to solve this, The photo is unclear and to small.
Select the solution to the subtraction problem expressed by the number line below.
23/7 plus 76/14 as a MIXED NUMBER
Answer: 8 5/7
Step-by-step explanation:
Well, first you make the common denominator between the two, which would be 46/14 and 76/14. Now you add 46 and 76 and receive 122/14. You can simplify that and get 61/7, and now you turn it into a mixed number:
8 5/7
413 + (43x - 21) = 1080
Please answer quick I put 100 points and I will Mark Brainliest!!
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 4500/3 πin3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping. One cup has a diameter of 6 in. and a height of 14 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. One cup has a diameter of 10 in. and a height of 12 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Answer:
By taking the quotient between the volume of the sink and the volume for each cone, we will see that both of your answers are correct.
How many coops does Carissa need to scoop out in each case?
First, we know that the sink has a volume V = (2000/3)*pi in^3
A) First she uses a cone of a diameter of 4 in and a height of 8 in.
Remember that the volume of a cone of diameter D and height H is:
V = pi*(D/2)^2*H/3
Then this cone has a volume of:
V' = (pi/3)*(4in/2)^2*8in = (pi/3) 32 in^3
The number of scoops needed to completely remove the water out of the sink is given by the quotient between the two volumes, it is:
Rounding it, we get 63, so she needs to scoop 63 times.
B) This time the diameter is 8 in and the height 8 in, so the volume of the cone is:
V'' = (pi/3)*(8in/2)^2*8in = (pi/3)*128 in^3
This time, she needs to scoop:
Rounding to the next number we get 16, she needs to scoop 16 times.
So yes, both of your answers are correct.
l be beneficial both in school and in other parts of your life.[1]
Answer:
Step-by-step explanation:
To determine how many conical cups of water Carissa must scoop out of the half-sphere sink to empty it, divide the volume of the sink by the volume of each cup.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]
To determine the volume of conical cup 1 (in terms of π) given it has a diameter of 6 in and a height of 14 in, substitute r = 3 and h = 14 into the volume of a cone formula:
[tex]\begin{aligned}\implies V_{\sf cup\:1}&=\dfrac{1}{3} \pi (3)^2(14)\\\\&=\dfrac{1}{3} \pi (9)(14)\\\\&=\dfrac{126}{3} \pi\\\\&=42 \pi\;\sf in^3\end{aligned}[/tex]
Divide the given volume of the sink by the volume of conical cup 1 to calculate the number of cups of water Carissa must scoop out of the sink to empty it.
[tex]\begin{aligned}\implies \dfrac{4500}{3}\pi \div 42 \pi &=\dfrac{4500}{3}\pi \times \dfrac{1}{42 \pi}\\\\ &=\dfrac{4500 \pi}{126 \pi}\\\\&=\dfrac{4500}{126}\\\\&=35.7142867...\\\\&=36\;\sf(nearest\;whole\;number)\end{aligned}[/tex]
Therefore, Carissa must scoop out 36 cups of water to empty the sink.
To determine the volume of conical cup 2 (in terms of π) given it has a diameter of 10 in and a height of 12 in, substitute r = 5 and h = 12 into the volume of a cone formula:
[tex]\begin{aligned}\implies V_{\sf cup\:2}&=\dfrac{1}{3} \pi (5)^2(12)\\\\&=\dfrac{1}{3} \pi (25)(12)\\\\&=\dfrac{300}{3} \pi\\\\&=100\pi\;\sf in^3\end{aligned}[/tex]
Divide the given volume of the sink by the volume of conical cup 2 to calculate the number of cups of water Carissa must scoop out of the sink to empty it.
[tex]\begin{aligned}\implies \dfrac{4500}{3}\pi \div 100 \pi &=\dfrac{4500}{3}\pi \times \dfrac{1}{100 \pi}\\\\ &=\dfrac{4500 \pi}{300\pi}\\\\&=\dfrac{4500}{300}\\\\&=15\end{aligned}[/tex]
Therefore, Carissa must scoop out 15 cups of water to empty the sink.
Mario walked at a rate of 2/3 mile every 10
minutes.
Using displacement, His unit rate every mile per hour will be 4 miles/hours.
What is displacement?When a body shifts from one position to another, displacement is the smallest (straight line) distance between the starting position and the ending position of the body, which is symbolized by an arrow pointing from the starting position to the ending position. Displacement is a vector quantity that describes "how far out of place an object is"; it represents the overall change in the position of the object.
Mario walked at a rate of 2/3 mile every 10 minutes.
We have,
Distance = 2/3 miles
Time = 10 minutes
On substituting these values in the above formula, we get
speed = 2/10.3
We have to find the unit rate in mile per hour, so we need to multiply it by 60, 1/15 × 60 = 4 miles/hours
Hence, his unit rate every mile per hour will be 4 miles/hours.
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50 POINTS. if needed rotate in top right corner
Answer: 38
Hope this helps!
(a+b)² + 4 (a+b) + 4
pls tell me how to do this
The factors of given expression are (a+b+2) and (a+b+2).
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given expression is (a+b)²+4(a+b)+4.
Here, take x=a+b
Now, x²+4x+4
= x²+2×2×x+4 (Algebraic identity (a+b)²=a²+2ab+b²)
= (x+2)²
= (a+b+2)²
= (a+b+2)(a+b+2)
Therefore, the factors are (a+b+2) and (a+b+2).
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If the model is 18 inches long and the actual locomotive is 72 feet long, what is the similarity transformation to map from the model to the actual locomotive? Express the answer using the notation x* ax, where x is a measurement on the model and ax is the corresponding measurement on the actual locomotive.
Answer:
(1/48)ax
Step-by-step explanation:
We can use the proportion of the lengths of the model and the actual locomotive to determine the scale factor for this similarity transformation.
The model is 18 inches long, which is equivalent to 1.5 feet (since 1 foot = 12 inches). The actual locomotive is 72 feet long. So, the scale factor can be calculated as:
scale factor = actual length / model length
scale factor = 72 feet / 1.5 feet
scale factor = 48
This means that each measurement on the model is 1/48th the size of the corresponding measurement on the actual locomotive. We can express this similarity transformation using the notation x* ax as: x* (1/48)ax
So, if a measurement on the model is x, the corresponding measurement on the actual locomotive would be (1/48)ax.
Find the value of x
Answer:
x = 20
Step-by-step explanation:
We know that the vertically opposite angles are equal.
Accordingly,
41 = 2x + 1
Subtract 1 from both sides.
41 - 1 = 2x
40 = 2x
Divide both sides by 2.
x = 20
ome entrepreneurs wish to establish a restaurant in a central location so that
it will serve three suburbs. On a rectangular grid with axes labelled x1 (horizontal) and x2 (vertical), the centres of the three suburbs are located at (1,2), (6,18), and (12,8). All roads run east-west (parallel with the x1 axis) or north-south (parallel with the x2 axis). The distance between any two points is therefore rectilinear. For example, the distance between the centres of suburbs 2 and 3 is | 12 − 6 | + | 8−18 |= 6+10 = 16.
(a) Formulate the restaurant location problem as a nonlinear optimization model.
The restaurant location problem as a nonlinear optimization model is given below.
How to explain the optimizationThe restaurant location problem can be formulated as a goal programming model with the following components:
Decision variables:
x1: the x-coordinate of the restaurant location
x2: the y-coordinate of the restaurant location
Goals:
Minimize the total distance from the restaurant to the three suburbs, calculated as follows:
Distance from suburb 1: |x1 - 1| + |x2 - 2|
Distance from suburb 2: |x1 - 6| + |x2 - 18|
Distance from suburb 3: |x1 - 12| + |x2 - 8|
Maximize the accessibility of the restaurant to the three suburbs, measured as the sum of the reciprocals of the distances from the restaurant to each suburb:
Accessibility = 1 / (|x1 - 1| + |x2 - 2|) + 1 / (|x1 - 6| + |x2 - 18|) + 1 / (|x1 - 12| + |x2 - 8|)
Constraints: None
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In 2,894.0, which digit is in the hundreds place?
Answer:
Step-by-step explanation:
The 8 is in the hundreds place.
Answer:
The 8 is in the hundreds place.
Step-by-step explanation:
2,000 (Thousands Place)
800 (Hundreds Place)
90 (Tens Place)
4 (Ones Place)
0.0 (Tenths Place)
2,894.0
If - 3y = 1 and 11y - x = -5, then what does x - 10y = ?
The answer for x - 10y = 14/3.
Solving for x and y by substitution methodTo solve for x and y, we can use the first equation to solve for y in terms of x:
-3y = 1
y = -1/3
Now we can substitute this value of y into the second equation and solve for x:
11y - x = -5
11(-1/3) - x = -5
-x = -5 + 11/3
-x = -4/3
x = 4/3
Now that we have found the values of x and y, we can substitute them into the expression x - 10y:
x - 10y = (4/3) - 10(-1/3)
x - 10y = 4/3 + 10/3
x - 10y = 14/3
Therefore, x - 10y = 14/3.
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Hi can someone please help me with this!!! I'm struggling with this!
I really appreciate it!!!
Find the value of a, m, x
Answer:
Refer to pic..........
What is the sum of the solutions for the
equation 4x^2- 8x - 12 = 0?
A) -4
B) -2
C) 2
D) 4
The sum of the solutions for the equation 4x²- 8x - 12 = 0 will be 2. The correct option is C.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
To find the sum of the solutions of the equation 4x^2-8x-12=0, we first need to find the solutions of the equation. We can start by factoring in the left-hand side of the equation:
4x²-8x-12=0
4(x²-2x-3)=0
4(x-3)(x+1)=0
So the solutions of the equation are x=3 and x=-1. The sum of these solutions is:
3 + (-1) = 2
Therefore, the answer is C) 2.
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Because I’m pretty much fed up with college level algebra
Please explain to me (literally) how I might use it in everyday life
If you give me a good explanation, I might reconsider giving any CONSIDERATION to the subject
Answer:
A business person will use algebra to determine whether a piece of equipment does not lose its worth if it is in stock.
Step-by-step explanation:
I need the answer QUICKLY:
The experimental probability of choosing a nickel based on 13 trials would be 4 / 13
How to find the experimental probability ?The experimental probability can be found by the formula ;
= ( ( Probability of picking a Nickel x Number of trials ) + 1 ) / 13 trials
Probability of picking a Nickel - 1 / 4
Number of trials - 13 trials
The experimental probability for Landon picking a Nickel on the 13th trial is :
= ( ( 1 / 4 x 12 ) + 1 ) / 13
= ( 3 + 1 ) / 13
= 4 / 13
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Cost of windows in Orange is Rs.45. a) find the cost of one score orange. b) how many orange can be purchased for Rs.60.
16 oranges can be purchased in linear equation.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
cost of 12 oranges = 45
Thus, number if oranges we will get for ₹1 = 12/45 oranges.
Thus, the number of oranges that we can buy fro ₹60 = (12/45) × 60 = 16.
Thus, 16 oranges can be purchased.
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this grid shows the location of four animals where is chewy located (picture)
A, (5,1)
B, (6,3)
C,(1,5)
D,(3,6)
Answer:
A) (5 , 1)
Step-by-step explanation:
The x coordinate goes first, then the y coordinate: (x , y)
In this case, locate Chewy. Chewy is found in the x-coordinate of 5, and a y-coordinate of 1. Therefore, (5 , 1) or A) is your answer.
~
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Everything step by step
The number of touchdowns scored by the defense of the professional football team in the season was C. 10 touchdowns.
How to find the number of touchdowns ?The team scored a total of 242 points, and the defense scored about 24% of those points, which is:
0.24 x 242 = 58.08
This means that the defense scored approximately 58 points during the season. If a touchdown is worth 6 points, we can find the number of touchdowns scored by the defense by dividing the total number of points scored by 6:
58 / 6 = 9.67
So the defense scored approximately 9.67 touchdowns during the season. Since we can't have a fraction of a touchdown, the closest whole number answer would be 10 touchdowns.
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Solve the inequality
Answer: x> -28/13
Step-by-step explanation:
1.
Simplify the expression
2. Combine multiplied terms into a single fraction
3. Distribute
4. Rearrange terms
5. Combine multiplied terms into a single fraction
6. Multiply by 1
7. Multiply all terms by the same value to eliminate fraction denominators
8. Cancel multiplied terms that are in the denominator
9. Distribute
10. Distribute
negative five-sevenths ( 21 x plus 35 ) < 1/3 ( 9-6 x )
negative 315 x minus 525 is less than negative 42 x plus 63
2
Add
525
to both sides
3
Simplify the expression
4
Add
42 x
to both sides
5
Simplify the expression x> -28/13