Triangle XYZ has the greater area and the area of triangle XYZ is 25 square inches.
What is area of triangle?
The area of a triangle is the amount of space that is contained within its boundaries. It is a fundamental concept in geometry and is used in many different fields, including architecture, engineering, and physics.
The formula for the area of a triangle is given by:
A = 1/2 × b × h
where A is the area, b is the length of the base of the triangle, and h is the height of the triangle. The base of a triangle is the side that is perpendicular to the height, and the height is the perpendicular distance from the base to the opposite vertex.
To use this formula, you need to know the length of the base and the height of the triangle. If you don't know the height, you can calculate it using trigonometry or by using the Pythagorean theorem.
For example, let's say you have a triangle with a base of 6 units and a height of 4 units. The area of the triangle would be:
A = 1/2 × 6 × 4
A = 12 square units
This means that the triangle contains 12 square units of space within its boundaries.
Here,
For triangle JKL, the area is (6 inches x 8 inches) / 2 = 24 square inches
For triangle XYZ, the area is (5 inches x 10 inches) / 2 = 25 square inches
Therefore, triangle XYZ has the greater area. The area of triangle XYZ is 25 square inches.
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Complete question is "Ms.bradyQuestion content area top Part 1 drew triangle JKL, with a height of inches and a base of inches, and triangle XYZ, with a height of inches and a base of inches. Which triangle has the greater area? Question content area bottom Part 1 Choose the correct answer below and fill in the answer boxes to complete your choice. (Type whole numbers.) A. Triangle XYZ has the greater area. The area of triangle XYZ is enter your response here anMs.bradyQuestion content area top Part 1 drew triangle JKL, with a height of inches and a base of inches, and triangle XYZ, with a height of inches and a base of inches. Which triangle has the greater area?
Question content area bottom Part 1 Choose the correct answer below and fill in the answer boxes to complete your choice. (Type whole numbers.)
A. Triangle XYZ has the greater area.
B The area of triangle JKL is lesser area."
Which statement about the transformation is true?
Consider the transformation.
It is isometric because the side lengths remained the
same.
It is isometric because all angle measures remained the
same.
It is not isometric because the side lengths did not remain
the same.
It is not isometric because the angle measures did not
remain the same.
The image of the transformation is missing so i have attached it;
Answer:
Option C - The transformation is not isometric because the lengths did not remain the same.
Step-by-step explanation:
Transformation means that it preserves the length of the original figure which means that it is a distance preserving transformation.
Now, from the image of the question attached, the two figures can be said to be isometric if they are congruent.
Now, for the figure displaying the transformation we can see that the size of the original figure has changed.
We can see that the figure is dilated by a scale factor of 2 as each of the sides of the polygon which is a trapezoid is increased by a factor of 2.
Due to the fact that the lengths of sides of the original figure and transformed figure are are not same, we can say that the lengths are not preserved.
Thus, the transformation is not isometric because the lengths did not remain the same.
Answer:
C : It is not isometric because the side lengths did not remain the same.
Credits go to the person above me.
;)
Step-by-step explanation:
EDGE 2021
Write these as normal numbers.
a)
5.1 x 108
b)
9.6 x 10°
c)
2.44 10
d)
5.023 1010
Answer:
Step-by-step explanation:
5.1 × 108 = 550.8
9.6 × 10^0
10^0 = 1
9.6 × 1 = 9.4
2.44 × 10 = 24.4
5.023 × 1010 = 5073.23
(Unit 2) What makes the results of a study statistically significant?
The difference between groups and the sample size makes the results of a study statistically significant.
Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:
The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.
The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.
The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.
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Make v the subject of the formula.
Answer:
hope it helps........
stay safe healthy and happy.
A state seal, which is round, hangs in the capitol building. It has a radius of 3 feet. What is the seal's area? Use 3.14 for .
Step-by-step explanation:
just apply the formula you can find immediately on the internet.
that is much faster than putting such a calculation question in here.
the area of a circle is
pi×r²
with r being the radius.
so, in our case we have
pi × 3² = pi × 9 = 28.27433388... ft²
when using 3.14 for pi we get 28.26 ft²
what is the critical value of f at the 0.05 level? please round your answer to four decimal places, if necessary.
The critical value of f at 0.05 level is 3.7083.
The ANOVA table breaks down the components of variation in the data into variation between treatments and error or residual variation. Statistical computing packages also produce ANOVA tables as part of their standard output for ANOVA, and the ANOVA table is set up as follows: Source of Variation and Sums of Squares (SS)
From given ANOVA table,
df of among treatments = 3066.63 / 1022.21 = 3
df Error = 13 - 3 = 10
Critical f value Fc = F(\alpha, d.f.1 , d.f.2) = F(0.05, 3 , 10) = 3.7083
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Complete question:
Step 7 of 8: What is the critical value of F at the 0.05 level? Please round your answer to four decimal places, if necessary.
By which rule are these triangles congruent? A. AAS B. ASA C. SAS D. SSS
A. AAS
Congruence means they are identical. From the markings, two angles are the same and one side is the same. So angle-angle-side.
The following frequency table summarizes the total amounts, in dollars, for 91 orders from a food truck during a certain day.
(a-i) Use the data in the table to create a histogram showing the distribution of the amounts of the orders.
(a-ii) Describe the shape of the distribution of amounts.
(b) Identify a possible amount for the median of the distribution. Justify your answer.
A possible amount for the median of the distribution is $22.50.
The histogram of the distribution of the amounts of the orders shows a roughly symmetrical distribution with a single peak, and most of the amounts falling between $15 and $30.
To identify the possible amount for the median of the distribution, we need to find the middle value in the ordered data set. Since the data set has an odd number of observations, the median is simply the middle observation.
There are a total of 91 observations, so the middle observation would be the 46th value when the data set is ordered. Looking at the histogram, we can see that the value corresponding to the 46th observation falls between $20 and $25. Therefore, a possible amount for the median of the distribution is $22.50.
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To create a histogram, use the data in the frequency table to plot dollar amounts on the x-axis and frequencies on the y-axis. The shape of the distribution can be determined by examining the histogram. To find a possible median, arrange the dollar amounts in order and find the middle value.
Explanation:(a-i) To create a histogram, we will use the data in the frequency table. We will plot the dollar amounts on the x-axis and the corresponding frequencies on the y-axis. Each bar in the histogram will represent a range of dollar amounts.
(a-ii) The shape of the distribution of amounts can be determined by looking at the histogram. It may be symmetric, skewed to the left or right, or have other shapes like bimodal or uniform.
(b) To identify a possible amount for the median, we need to arrange the dollar amounts in ascending order and find the middle value. If our set has an even number of values, we find the average of the two middle values.
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Find the slope of the line with points (-3, -8) and (-3, 5)
Step-by-step explanation:
let ,(-3,-8)=(X2,y2)(-3,5) =(x1,y1)
then
slope (M) =
\((y2 - y1 ) \div x2 - x1)\)
={(-8)-5 }÷{(-3)-(-3)}
= -13÷ 0
=0
There are five students standing in a line with their hats. Suddenly the wind picks up the hats and randomly assigns each hat to a student. What is the probability that no student will get his or her own hat
Answer:
The probability of a person getting their own hat is 1/5 or 20%.
Step-by-step explanation:
If each person has one hat the chances (the probability) of them getting their own hat would be 20%. The chances (the probability) of them getting a hat that belongs to one of the other four students would be 80%. Due to there being 5 hats each person owns 1 hat so there would be a 1 out of 5 chance of them getting their own hat.
nancy bought 3.5 gallons of gasoline. she paid 10.43. What was the price per gallon for the gasoline
Answer:
Nancy paid 2.98 per gallon of gasoline.
Step-by-step explanation:
The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:
ratio = total money / total gasoline
ratio = 10.43 / 3.5
ratio = 2.98 money / gallon
Nancy paid 2.98 per gallon of gasoline.
The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area of the yard is 540 square feet, how many feet shorter than the length is the width?
A yard with a length of 30 feet and a width of (30 minus x) feet.
Which equation represents the scenario?
30 + (30 – x) = 540
540 – 30 = 30 – x
30(30 – x) = 540
540 – (30 – x) = 30
Answer:
30(30-x)=540
Step-by-step explanation:
Answer:
30(30 – x) = 540
c
Step-by-step explanation:
hi , which grade r u in ?
Miles owns 25 toy cars and Lee owns 33 toy
cars. How many more toy cars does Lee own
than Miles?
write the equation of the line graphed below.
i’ll be giving out brainliest, thanks!
What’s the answer to the I l i really need help
Is -6,-3 a solution to 2x-9y=15
Answer: Yes
Step-by-step explanation:
Assuming that (-6, -3) is a coordinate, you just plug in the x and y values. When doing this you multiply 2 * - 6 and add that to -9 * -3This gives you -12 + 27 = 15This gives you 15 = 1515 is equal to 15 therefore, this is a solution to the problem.I hope this makes sense! : )
The manager at Apex Gym wants to know when the new pricing model (higher per-class fee but lower membership fee) will be better than the old pricing model used last year. He uses a table to calculate the members’ costs for different numbers of classes.
The completed table to show the member cost for different numbers of classes is :
No. of classes Cost under old model Cost under new model
2 170 110
4 200 170
5 215 200
6 230 230
7 245 260
How to find the member costs ?Assuming that the number of classes is x, then the formula to find the cost with a certain number of classes with the old model is:
= 15 x + 140 membership fee
4 classes :
= 15 x 4 + 140
= $ 200
5 classes :
= 15 x 5 + 140
= $ 215
6 classes :
= 15 x 6 + 140
= $ 230
7 classes :
= 15 x 7 + 140
= $ 245
Cost under new model would take the formula:
= 30 x + 50 membership fee
4 classes :
= 30 x 4 + 50
= $ 170
5 classes :
= 30 x 5 + 50
= $ 200
6 classes :
= 30 x 6 + 50
= $ 230
7 classes :
= 30 x 7 + 50
= $ 260
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im learning about isosceles trapezoids right now, and i forgot to take notes of the formulas. can someone please list them for me? thanks
the solution of the equation (x+3)2=7 is
Answer:
x=1/2
Step-by-step explanation:
calculate the equation of straight line passing through (5,-10) and making equal but opposite intercept.
The equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.
To solve the problem, we need to know the equation of a straight line
Equation of a straight line in slope intercept formThe equation of a straight line in slope intercept form is given by y = mx + c where
m = slope and c = y- intercept.Given that the straight line passes through the point (5, -10) and making equal but opposite intercept, its intercept is at (-5, 10)
The gradient of the lineWe need to find the gradient, m by making m subject of the formula in y.
So, m = (y - c)/x
With
x = 5, y = -10 and c = 10, we havem = (y - c)/x
m = (-10 - 10)/5
m = -20/5
m = -4
Substiting m and c into y, we have
y = mx + c
y = -4x + 10
So, the equation of the straight line passing through (5,-10) and making equal but opposite intercept is y = -4x + 10.
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ill mark brainliest for correct answer
Answer:
Solution given:
\(\frac{1}{5}(6+3+1)²\)
\(\frac{1}{5}(10)²\)
\(\frac{1}{5}100\)
=20 is a required answer.
(a) Find the median number of hours per week these Year 12 students spend doing homework(b) Given that 10% of these Year 12 students spend more than k hours per week doing homework, find the value of k.
a) The median number of hours per week these Year 12 students spend doing homework is 4 hours.
b) If 10% of Year 12 students spend more than k hours per week doing homework, then the value of k is 5.75 hours.
What is the median?The median is a central value or a middle value in a distribution. The number of values in a dataset is an important factor that determines the calculation of the median. It is a value that cuts the data set into two equal parts.
The data set consists of 20 Year 12 students. Sort the data in ascending order (or descending order) and find the middle value. Then, use the formula for calculating the median.
a)The number of hours per week the Year 12 students spend doing homework is given as:
3, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4, 4.5, 5, 5, 5.5, 6, 7, 8, 8.5
Arrange the data in ascending order:
3, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4, 4.5, 5, 5, 5.5, 6, 7, 8, 8.5
Now count the data, which gives us 20 numbers. The middle value is the 10th and the 11th numbers, which are both 4.
So the median of the number of hours per week Year 12 students spend doing homework is 4 hours.
b) If 10% of Year 12 students spend more than k hours per week doing homework, then the value of k can be found using the following formula:
100% - 10% = 90%
So, 90% of students study for k hours or less.
So, the value of k can be found using the median. The median value is 4 hours, and 90% of students are studying for k hours or less. Therefore, 10% of students study for more than k hours.
k = 10% more than the value of the 90th percentile value, which is given by: k = 5.5 + ((8-5.5)/10)*1 = 5.5 + 0.25 = 5.75 hours.
Therefore, 10% of Year 12 students spend more than 5.75 hours per week doing homework.
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Remainder theorem PLEASE HELP
The correct option is A. deductive reasoning. John use deductive reasoning to arrive at his conclusion.
What is deductive reasoningDeductive reasoning is a logical approach where one progress from general ideas to specific conclusions. It is provable by deriving conclusions by reasoning.
The factor theorem states that: if the polynomial p(x) is divisible by x - a if and only if p(a)=0 {where p(a) is the remainder of p(x)/(x - a)}
John used the "general idea" of long division to derive the remainder of the polynomial x² - 25 divided by x - 5 to be zero. Which made him to arrive at the conclusion that (x - 5) is a factor of the polynomial x² - 25.
In conclusion, we can say that John used deductive reasoning to arrive at his conclusion and the correct option is A.
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Given z₁ = 4 cos(cos(π/4)+isin(π/4)) and z₂=2(cos(2π/3)+isin(2π/3)), i, find z₁z₂ ii, find z₁/z₂
z_1 and z_2 are complex number;
i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))
ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))
To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:
i) To find z₁z₂, we multiply the magnitudes and add the angles:
z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))
= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))
= 8cos(7π/12) + isin(7π/12)
ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:
z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))
= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2
= 2cos(π/12) + isin(π/12)
i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))
ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))
Please note that the given calculations are based on the provided complex numbers and their angles.
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Question 7 of 10 these tables represent a quadratic function with a vertex at (0, -1). what is the average rate of change for the interval from x = 7 to x =8 a. -65 b-2 c. - 5 d. -50
The average rate of change for the interval from x = 7 to x = 8 is 3. To find the average rate of change for the interval from x = 7 to x = 8, we need to calculate the slope of the line passing through the points (7, f(7)) and (8, f(8)), where f(x) is the quadratic function with a vertex at (0, -1).
Since the vertex is at (0, -1), we know that the equation of the quadratic function is in the form f(x) = a(x - 0)^2 - 1, where a is a constant. To find the value of a, we can use one of the other points on the graph. Let's use the point (1, 2), which is given in the problem. Substituting these values into the equation, we get:
2 = a(1 - 0)^2 - 1
3 = a
So the equation of the quadratic function is f(x) = 3x^2 - 1. Now we can calculate the slope of the line passing through (7, f(7)) and (8, f(8)):
slope = (f(8) - f(7))/(8 - 7)
= (3(8)^2 - 1 - (3(7)^2 - 1))/(8 - 7)
= (191 - 188)/(8 - 7)
= 3
Therefore, the average rate of change for the interval from x = 7 to x = 8 is 3. None of the answer choices provided match this result, so we cannot select an answer from the options given.
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The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?
Answer:
8 units²
Step-by-step explanation:
The area (A) of the shaded part (right triangle ) is calculated as
A = \(\frac{1}{2}\) × area of rectangle
= 0,5 × 4 × 4 = 0.5 × 16 = 8 units²
Answer:
8 units ^2 are shaded
Step-by-step explanation:
The total area of the square is 4 * 4 = 16
1/2 of the square is shaded so
1/2 * 16 = 8
8 units ^2 are shaded
a spinner is spun twice with 4 equal sections colored purple, orange, green, and blue. what is the p(spinning two greens)?
The probability of spinning two greens on the spinner is 1/16.
To find the probability of spinning two greens on the spinner, we need to determine the probability of spinning a green on the first spin and then the probability of spinning another green on the second spin. Since there are 4 equal sections on the spinner and one of them is green, the probability of spinning a green on the first spin is 1/4.
After the first spin, assuming the spinner is put back to its original state, the probabilities for each section remain the same. Therefore, the probability of spinning a green on the second spin is also 1/4.
To find the probability of both events happening (spinning two greens), we multiply the probabilities together:
P(spinning two greens) = P(green on first spin) * P(green on second spin)
= (1/4) * (1/4)
= 1/16
Therefore, the probability of spinning two greens on the spinner is 1/16.
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Can someone plz help me on this plz I beg u
Answer:
A) 6"
Step-by-step explanation:
set up a proportion then cross-multiply:
1"/4.5' = x/27'
4.5x = 27
x = 27/4.5
x = 6"
Find the coordinate of the midpoint of the segment formed by the given points: (7, 11) and (3, -5)
Answer:
\(MP = (5,3)\)
Step-by-step explanation:
\(MP= (\frac{x_1+x_2}{2}) (\frac{y_1+y_2}{2} )\\MP= (\frac{7+3}{2}) (\frac{11+-5}{2} )\\MP= (\frac{10}{2}) (\frac{6}{2} )\\MP= (5,3)\)
i have 4 vertices and 4 sides. two of my sides are parallel and the other two are not parallel. what shape am i
Answer:
Parallelogram
Step-by-step explanation:
is a polygon that has exactly four sides. (This also means that a quadrilateral has exactly four vertices, and exactly four angles.)