The students can fold the paper in such a way that one set of opposing sides coincides in order to create a parallelogram using paper folding from the provided quadrilateral.
A. With the same base as the initial quadrilateral and a height equivalent to the separation between the two sets of parallel edges, this will produce a parallelogram.
We can determine the measure of each remaining angle by first removing 108 from 360 (a quadrilateral's total angle measure) to get 252, then dividing 252 by 3 to get 84 because the quadrilateral has one angle of 108 degrees and the other three angles are identical. Each of the remaining angles is 84 degrees as a result.
B. Now, let's consider the parallelogram that was formed from the quadrilateral. Since opposite angles of a parallelogram are equal, if one angle is 75 degrees, then the opposite angle is also 75 degrees. Therefore, the measure of the opposite angle is 75 degrees.
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what it mean average of these five numbers 2 4 5 6 8
Answer:
5
Step-by-step explanation:
the least squares regression line was found. using technology, it was determined that the total sum of squares (sst) was 3961.2 and the sum of squares of regression (ssr) was 3252.4. calculate r2, rounded to three decimal places.
the percent of the variability in y that can be explained by variability in the regression model = 31% = 0.31
Formula : Percent of the variability = SSR/SST*100
, where = Coefficient of Determination.
SSR = sum of squares of regression
SST = total sum of squares
is the proportion of the variation of Y that can be attributed to the variation of x.
As per given , we have
SSR = 3252.4
SST= 3961.2
Then, the percent of the variability in y that can be explained by variability in the regression model =SSR
Hence, the percent of the variability in y that can be explained by variability in the regression model = 31%
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In each graphic, the triangle was dilated to create the image triangle. Determine which scale factor was used for each dilation by dragging the correct scale factor to each graph.
pls help i well give brllant
The scale factor was used for each dilation are-
Part a: For ΔABC - scale factor = 2Part b: For ΔDEF - scale factor = 1/2Part c: For ΔGHJ - scale factor = 1/3Part d: For ΔKML - scale factor = 3Explain about the dilation:A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.
A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.
Part a: For ΔABC
Length AB = 2 units
Length A'B' = 4 units
A'B' = 2 *AB
Thus, For ΔABC - scale factor = 2
Part b: For ΔDEF -
Length DF = 2 units
Length D'F' = 1 units
D'F' = 1/2 DF
Thus, For ΔDEF - scale factor = 1/2
Part c: For ΔGHJ -
Length GH = 3 units
Length G'H' = 1 units
G'H' = 1/3 GH
Thus, For ΔGHJ - scale factor = 1/3
Part d: For ΔKML -
Length KM = 2 units
Length K'M' = 6 units
K'M' = 3*KM
Thus, For ΔKML - scale factor = 3
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please help i cant solve this problem
if the 1700- lb boom ab , the 215- lb cage bcd , and the 164- lb man have centers of gravity located at points g1 , g2 and g3 , respectively, determine the resultant moment produced by all the weights about point a . (figure 1) express your answer to three significant figures and include the appropriate units. enter positive value if the moment is counterclockwise and negative value if the moment is clockwise.
Answer:
Let's assume the distances between the points G1, G2, and G3 and point A are d1, d2, and d3, respectively. Then, the moment produced by each weight around point A can be calculated as follows:
Moment of AB = 1700 lb x d1
Moment of BCD = 215 lb x d2
Moment of man = 164 lb x d3
The resultant moment produced by all the weights about point A can be found by adding up these individual moments:
Resultant moment about A = (1700 lb x d1) + (215 lb x d2) + (164 lb x d3)
To express the answer in appropriate units, we need to convert pounds (lb) to a standard unit of force such as newtons (N) and inches (in) to meters (m).
Assuming 1 lb = 4.44822 N and 1 in = 0.0254 m, we get:
1700 lb = 7585.74 N
215 lb = 957.5125 N
164 lb = 730.7096 N
1 in = 0.0254 m
Substituting these values into the above equation, we get:
Resultant moment about A = (7585.74 N x d1) + (957.5125 N x d2) + (730.7096 N x d3)
A group of 4 friends paid a total of $50.24 for tickets to a museum. Each friend paid the same amount for a ticket. Solve this and type how you got this answer in a paragraph
Answer:
$12.56
Step-by-step explanation:
$50.24 divided by the 4 friends = $12.56
I divided the total cost by the amount of friends who went to the museum and so I did $50.24 divided by the 4 friends = $12.56.
Each friend paid $12.56 for a ticket to the museum this was calculated by dividing the total cost of $50.24 by the number of friends, which is 4. So, they each paid an equal amount of $12.56.
To find out how much each friend paid for a ticket to the museum, we can divide the total amount they paid by the number of friends.
Given that there are 4 friends and the total cost is $50.24, we simply divide $50.24 by 4:
Amount each friend paid = Total cost / Number of friends
Amount each friend paid = $50.24 / 4
Calculating this division:
Amount each friend paid = $12.56
Therefore, each friend paid $12.56 for a ticket to the museum.
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Can someone please help me find the area of the semicircle
Answer:
The area of each semicircle is (1/2)25(pi) for a total of 25pi.
Select the correct answer from each drop-down menu.
1_____ × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also
2_____ times greater than 9.5 × 10-4.
Answer:
Well, 1 is 3.8 The second one is 40,
Step-by-step explanation:
I believe 1 is 3.8, b/c 1.9*2 is 3.8, and the difference between exponents makes 3 zeros, so 2000.
The second one is 40, I confirmed this by doing .0001 to replicate 10 to the negative 4th power
By doing 9.5*.0001*40, I got the 0.038 from 1
Answer:
3.8 × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also 4 times greater than 9.5 x 10-4.
Step-by-step explanation:
I started by doing 0.0000019 x 2000 and got 0.0038. If you move the decimal point 4 over you get 3.8.
EVERYONE ELSE IS WRONG!!! I got this correct on the test after retaking it, the second one is NOT 40 it is 4.
in the diagram, m <ACB =57 find M <ACD
Please help!!!!!!!!!!!!!
Answer:
B and C
Step-by-step explanation:
look at comments
In order to meet ada requirements, a wheelchair ramp must have an angle of elevation of no more than $4.8\degree$. a builder needs to install a ramp to reach a door that is 1.5 feet off the ground. what angle of elevation will this ramp have ?
"In order to meet ADA requirements, a wheelchair ramp must have an angle of elevation of no more than" the angle of elevation is mathematically given as
∅=3.434
What angle of elevation will this ramp have?Generally, the equation for the angle is mathematically given as
\(\theta=\frac{opp}{adj}\\\\Therefore\\\\tan\theta=\frac{1.5}{25}\\\\tan\theta=\frac{1.5}{25}\\\\\theta=tan^{-1}\frac{1.5}{25}\\\\\)
∅=3.434
In conclusion, the angle of elevation
∅=3.434
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A card is drawn from a deck of cards, Then the card is replaced, the deck is reshuffled, second card is drawn. What is the probability of getting.
1. a 3 on the first draw and a red card on the second draw?
2. an ace on the first draw and a heart on the second draw?
3. a queen on the first draw and a king on the second draw
4. a jack on the first draw and multiple of 5 on the second draw
Answer:
https://socratic.org/questions/a-card-is-drawn-from-a-standard-deck-a-second-card-is-drawn-without-replacing-th-1#131182
Step-by-step explanation:
:)
PSLS ANSWER !!! <<<<<< The quadrilateral in Quadrant II is the image of the quadrilateral in Quadrant IV after a counterclockwise rotation about the origin.
What is the angle of rotation?
A. 90°
B. 180°
C. 270°
D. 360°
Answer:
a . 90⁰
hope it will help you
Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate (Below).
Machine A covers 5/8 square feet in 1/4 hour or Machine B covers 2/3 square feet in 1/5 hour.
Answer:
Unit Rate of Machine A = 2.5 square feet per hour
Unit Rate of Machine B = 3.333 square feet per hour.
The unit rate of Machine B is greater than unit rate of machine A.
Step-by-step explanation:
The unit rates for both machines need to be calculated first.
The unit rate will be calculated as:
\(Unit\ rate = \frac{Area\ covered}{Time}\)
For Machine A:
Area Covered = 5/8
Time = 1/4
The unit rate will be:
\(U_A = \frac{\frac{5}{8} }{\frac{1}{4} } \\Using\ rule => \frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a}{b} * \frac{d}{c}\\=\frac{5}{8} * 4 \\= \frac{5}{2} = 2.5\ square\ feet\ per\ hour\)
For Machine B:
Area Covered = 2/3
Time = 1/5
\(U_B = \frac{\frac{2}{3}}{\frac{1}{5}}\\= \frac{2}{3} * \frac{5}\\= \frac{10}{3}\\= 3.33...\ square\ feet\ per\ hour\)
As it can be seen that unit rate for Machine B is greater than Unit Rate of Machine A.
Hence,
Unit Rate of Machine A = 2.5 square feet per hour
Unit Rate of Machine B = 3.333 square feet per hour.
The unit rate of Machine B is greater than unit rate of machine A.
need help again!! with a similar question
Answer:
9 gal
Step-by-step explanation:
If f(x) = 3x - 1 and g(x) = x + 2, find (f+g)(x)
Answer:
(f - g)(x) = f(x) - g(g) = (3x + 1) - (x2 - 6) = -x^2 + 3x + 7
Step-by-step explanation:
Is the coordinates of a point are 3 and 4?
The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)
The coordinates of point A = (-5, -4),
The coordinates of the point B = (-3, 3)
Let the point at the distance 3/4 from A to B = P
The coordinates of point 3/4 from A to B = P
At the x-coordinate, the distance from B to A is = -3-(-5) = 2 units.
At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.
Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)
P = (-5 + (3/4×(2), -4 + 3/4×(7))
P = (-3.5, 1.25)
Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).
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The complete question is -
What are the coordinates of the point 3/4 of the way from A to B?
Jillian simplified the expression
7+3 . (10 – 6)2 in the following way: 7+3 . (10 – 6)? 2. 7+3. (4) 7 + 3.16 10 - 16 160
A: Explain, using complete sentences, what Jillian's error was.
Part B: Show how the expression should have been simplified using a similar format.
Error in step \(10 \cdot 16\) (3 times 16 should be multiplied first )
Steps to simplify
\(7+3 \cdot (10-6)^2\\7+3 \cdot (4)^2\\7+3 \cdot 16\\7 \cdot 48\\ 55\)
Given :
Jillian simplified the expression \(7+3 \cdot (10-6)^2\)
Steps :
\(7+3 \cdot (10-6)^2\\7+3 \cdot (4)^2\\7+3 \cdot 16\\10 \cdot 16\\160\)
Explanation
Lets analyze step by step to find out the error.
Use order of operation PEMDAS
Start with parenthesis , exponents , multiply and divide , add and subtract
Jillian simplified the parenthesis first
Second step is correct
Next exponent is simplified
In the fourth step , 7 and 3 are added before multiplication
10 times 16 is not correct
As per PEMDAS, we need to multiply first and then add 7
Error is step \(10 \cdot 16\)
\(7+3 \cdot 16\\7+ 48\\Add \; 7\\55\)
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Tuga has 2⅔ pounds of sweet potatoes. She needs 40 ounces of sweet potatoes to make chili. Which statement explains if Tuga has enough sweet potatoes to
make chili? (1 pound = 16 ounces)
Answer:
Step-by-step explanation:
Convert pounds to ounces:
2\(\frac{2}{3}\) = 2.667
2.667 lb x 16 oz/lb = 42.7 oz
42.7 > 40, therefore Tuga has enough sweet potatoes to make chili
The appropriate test for a comparison a group of 10 dogs and group of 10 cats is?
The T - Test is the appropriate test for a comparison a group of 10 dogs and group of 10 cats.
According to the statement
we have to explain and tell bout the those test which is appropriate for the comparison of the group of 10 dogs and group of 10 cats.
So, For this purpose, we know that the
The test used on this are the those test for the applicable on th etwo groups.
So, We know that the
A t-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero and an alternate hypothesis that the difference in group means is different from zero.
here the t test is used for the two samples.
So, The T - Test is the appropriate test for a comparison a group of 10 dogs and group of 10 cats.
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Shirley Trembley bought a house for $184,800. She put 20% down and obtained a simple interest amortized loan for the balance at 1183% for 30 years. If Shirley paid 2 points and $3,427.00 in fees, $1,102.70 of which are included in the finance charge, find the APR. (Round your answer to one decimal place.) ×%
The APR to the nearest tenth percent (one decimal place) can be obtained using the formula provided below;APR = ((Interest + Fees / Loan Amount) / Term) × 12 × 100%.
Interest = Total Interest
Paid Fees = Total Fees Paid
Loan Amount = Amount Borrowed
Term = Loan Term in Years.
Shirley Trembley bought a house for $184,800 and she put 20% down which means the amount borrowed is 80% of the house price;Amount borrowed = 80% of $184,800 = $147,840Simple interest amortized loan for the balance at 1183% for 30 yearsLoan Term = 30 years.
Interest rate = 11.83% per year Total Interest Paid for 30 years = Loan Amount × Rate × Time= $147,840 × 0.1183 × 30= $527,268.00Shirley paid 2 points and $3,427.00 in fees, $1,102.70 of which are included in the finance charge,The amount included in the finance charge = $1,102.70Total fees paid = $3,427.00Finance Charge = Total Interest Paid + Fees included in the finance charge= $527,268.00 + $1,102.70= $528,370.70APR = ((Interest + Fees / Loan Amount) / Term) × 12 × 100%= ((527268.00 + 3427.00) / 147840) / 30 × 12 × 100%= 0.032968 × 12 × 100%≈ 3.95%Therefore, the APR is 3.95% (to the nearest tenth percent).
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What is the measure of the angle?
The angle is a 90 degree angle.
Answer:
80degrees
Step-by-step explanation:
CAN SOMEONE PLS HELP ME WITH THIS. YOU'LL EARN 50 POINTS!!!
Answer: W gives the weight of a puppy, in pounds, as a
function of its age, t, in months.
Step-by-step explanation:
Answer:
It A w(2)=5
Step-by-step explanation:
You see
Read the directions to each problem carefully. You are REQUIRED to attach images of your work to receive full credit. Please ask questions if you any issues. You have 3 attempts. Item at position 1 1 Item at position 1 Solve the equation. Round to the nearest tenth. 8 1 (k−1)= 9 2 Solve the equation. Round to the nearest tenth.8 1 (k−1)= 9 2
The solution to the equation 8(k - 1) = 9/2 is k = 1.6
How to solve the equation?The equation is given as:
8(k - 1) = 9/2
Start by dividing 9 by 2
8(k - 1) = 4.5
Divide both sides of the equation by 8
(k - 1) = 0.5625
Remove the bracket from the equation
k - 1 = 0.5625
Add 1 to both sides of the equation
k = 1.5625
Approximate the equation to the nearest tenth
k = 1.6
Hence, the solution to the equation 8(k - 1) = 9/2 is k = 1.6
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Here is an unlabeled rectangle, followed by other quadrilaterals that are labeled.
a. Select ALL quadrilaterals that are scaled copies of the unlabeled rectangle.
The quadrilateral named D, H, and E will be the scaled copies of the unlabeled rectangle.
A quadrilateral may be defined as a closed figure having four sides whereas a rectangle is a type of quadrilateral which has four sides in which any two sides are equal and the other two sides are also equal. The interior angles are 90°. The scale factor may be defined as the ratio of two dimensions such that one figure is large, and another is small. The scale factor is done due to the unpractical measurement of any figure. For example, if a figure is a scale copy of the scale factor of 6/2 it means 2 is converted into 6. Now, from the question If any figure is a scaled copy, then all dimensions must be enlarged with the same factor it means length and width both must be enlarged with the same factor. So, the unlabeled rectangle has 4 grid lengths and 2 grid widths. In H length is 8 grids and width are 4 which is the multiplication of 2 by 4 and 2. Quadrilateral D and E also follow the same.
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The number of shark attacks on a certain beach increases on days when more ice cream is purchased. Does this correlation imply causation. List reasons why or why not.
Answer:
I don't think so. It's a coincidence -- maybe. But it's a fun question to answer.
Step-by-step explanation:
Comment
So ice cream on this particular beach causes more sharks to come closer to shore and attack. That's the premise.
I'd like to say it is a coincidence, or the data is biased in some way, but there is no way of telling without checking out the stats (which I would guess there are none).
Perhaps sharks like sugar and lot of someones drop their ice cream cones in the water. It's a test. Or it could be made into one.
Perhaps the sharks are annoyed by the ice cream and take it out on the person holding the ice cream. Again it's a test.
Perhaps they smell the ice cream and are attracted to it. I wouldn't want to test this with offering a shark a sugar cube put in water.
Write the number for eight thousand seven hundred ninety-nine.
Answer:
The number says eight thousand so you take eight thousand and 7 hundred 99 so that would be 8,799
help me pleaseeeee
it’s algebra 2
Answer:
Step 2
Step-by-step explanation:
\(\frac{-9}{5}+ \frac{7}{2}\)
Answer:
exact form: 17/10
decimal form: 1.7
mixed number form: 1 7/10
Step-by-step explanation:
Subhash sold his digital camera for 8820Rs/- ,at a loss of 1280Rs/- . What is the cost price the digital camera?
Answer:
Rs. 10,100
Step-by-step explanation:
Sale price = 8820
Amount Lost on sale = 1280
The cost price of the camera:
Amount at which camera was sold + amount lost at that sale price
Rs. 8820 + Rs. 1280
= Rs. 10,100
Hence, cost price of camera was Rs. 10,100