Patrick is excited to attend his son’s soccer game tomorrow
evening, but he also needs to ensure his daughter arrives at her
coding class on time. Patrick is debating whether taking the train
or his
Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.
On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.
If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.
Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.
Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.
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Is 6/5 greater than one?
Yes it is because 6/5 is the same as saying 1 and 1/5.
Find the volume of radius 7 cm in diameter of 12 cm in 3.14
The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.
To find the volume of a sphere with a radius of 7 cm, we can use the formula:
V = (4/3) * π * r^3
where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.
The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:
V = (4/3) * π * (6 cm)^3
V = (4/3) * 3.14 * (6 cm)^3
V = (4/3) * 3.14 * 216 cm^3
V = 904.32 cm^3
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How does this geometry look before I email it to my teacher ??
Answer:
it looks pretty nice
Step-by-step explanation:
The dimensions of a rectangle are StartRoot 50 a cubed b squared EndRoot and StartRoot 200 a cubed EndRoot. A student found the perimeter as follows: 2 StartRoot 50 a cubed b squared EndRoot + StartRoot 200 a cubed EndRoot = 2 times 5 a b StartRoot 2 a EndRoot times 10 a StartRoot 2 a EndRoot. = 10 a b StartRoot 2 a EndRoot + 20 a StartRoot 2 a EndRoot. = 30 a b StartRoot 2 a EndRoot.
What is the student’s error?
The student should not have multiplied each expression by two.
The student simplified incorrectly.
The student simplified incorrectly.
The student incorrectly simplified
The correction made by the student is incorrect simplification of 30ab√2a+20a√2a
What is perimeter?The perimeter of a polygon is the sum of its, all the side lengths.
Given that, the dimension of a rectangle is given by, √50a³b² and √200a³
The perimeter of the rectangle is = 2(length + width)
Solving for the perimeter,
2(√50a³b²+√200a³)
= 2(5ab√2a+10a√2a)
= 10ab√2a+20a√2a
The student solved it as 30ab√2a,
Which is incorrect, because 'b' is not there in both the expressions, hence, we cannot add them.
Hence, The correction made by the student is incorrect simplification of 30ab√2a+20a√2a
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PLS HELP ASAP!!! im struggling
The correct options, in order, are:
\(f(n) = 3*(2)^{n-1}\)
\(f(n) = 2*(6)^{n - 1}\)
\(f(n) = 2*(4)^{n - 1}\)
How to match the equations and the tables?The first table is:
n f(n)
1 3
2 6
3 12
Notice that when n = 1, all the exponents are 0, then the initial value is 3.
When n = 2, all the exponents are 1. Then we need to find the exponential equation with a base equal to 2.
So the exponential equation is:
\(f(n) = 3*(2)^{n-1}\)
The second table is:
n f(n)
1 2
2 12
3 72
By looking at the first pair, we conclude that the initial value is 2, and by looking at the second pair, we conclude that:
2*b = 12
b = 12/2 = 6
The base is 6.
So the exponential equation now is:
\(f(n) = 2*(6)^{n - 1}\)
The last table is:
n f(n)
1 2
2 8
3 32
Here we again have an initial value of 2, and the base is:
2*b = 8
b = 8/2 = 4
Then the correct option now is:
\(f(n) = 2*(4)^{n - 1}\)
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I need help with this question ASAP
Answer: b = 55° c = 125°
Step-by-step explanation:
55° is a vertical angle to b. This means that 55° = b
Supplementary means that 2 angles add up to 180° c is a supplementary angle to 55°, so 180 - 55 = 125°
I am not a professional, I am simply using prior knowledge!
Note- It would mean the world to me if you would mark me brainliest!
Answer:
B = 55
c= \(\frac{360 - (55*2)}{2}\)
=125
Step-by-step explanation:
Find x
1. 103 degrees
2. 31 degrees
3. 52 degrees
4. 45 degrees
It is 45° because the sum of all the angles of a triangle is 180° so
\(75° +60° +x = 180° \\ x =180° - 75° -60° \\ x = 45°\)
12. If square root of 25x is 16 what is the value of x?
A 4
B. 2 .
C. 5
D. 6
Answer:
The answer is D. Hehehehehe
) In the next several games, the pitcher threw a total of
384 pitches and used a fastball 240 times. What
decimal should Juanita use to update her report?
Juanita should use the decimal
to update her
juanita should use 0.625 to update her report.
given that the pitcher threw 384 pitches and used fastball 240 times.
according to the information
240÷ 384
To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.
How do you divide decimals step by step?
The step-wise procedure for dividing decimals by a whole number is given below:
Step 1: Write the given division expression in the standard form.
Step 2: Now, we have to divide the decimal number's whole number part by the divisor.
Step 3: Place the decimal point in the quotient above the dividend's decimal point and then bring down the tenths' digit.
Step 4: If the tenth digit of the obtained dividend cannot be divided by the divisor, write 0 in the quotient and in front of the tenths' digit. Otherwise, proceed with the division process.
Step 5: Repeat the above step and keep adding the zeroes in the dividend until 0 is obtained in the remainder.
240 ÷ 384
⇒ 0.625
so juanita should use 0.625 to update her report
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Jill is a track runner. Her split time for the mile is 5 minutes and 30 seconds. At the last practice, she noticed that she had run for 30 minutes. How many miles did Jill run in this practice?
Jill ran approximately 5.4545 miles in this practice.
To determine how many miles Jill ran in the practice, we need to convert the given times into a common unit (minutes) and then divide the total time by her split time for the mile.
Jill's split time for the mile is 5 minutes and 30 seconds. To convert it into minutes, we divide the number of seconds by 60:
5 minutes and 30 seconds = 5 + 30/60 = 5.5 minutes
Now, we can calculate the number of miles Jill ran by dividing the total practice time (30 minutes) by her split time per mile:
Number of miles = Total time / Split time per mile
= 30 minutes / 5.5 minutes
≈ 5.4545 miles
Therefore, Jill ran approximately 5.4545 miles in this practice.
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Polygon JKLM is drawn with vertices J(-4,-3), K(-4,-6), L(-1,-6), M(-1,-3). Determine the image coordinates of L’ if the pre-image is reflected across y=-3.
A. L’(-3,6)
B. L’(-1,6)
C. L’(-1,0)
D. L’(1,0)
Given vertices of polygon JKLM are J(-4,-3), K(-4,-6), L(-1,-6), M(-1,-3). To determine the image coordinates of L', if the pre-image is reflected across y = -3. So the right option is (C) L’(-1,0)
we need to follow the below steps:
Step 1: Plot the points in the coordinate plane.
Step 2: Draw the line of reflection, y = -3. It is a horizontal line.
Step 3: Find the reflection image of point L(-1, -6) about y = -3.
So, let's plot these points in the coordinate plane.
Here is the graph of the polygon:graph{JKLM(-4,-3)(-4,-6)(-1,-6)(-1,-3)}
As we can see in the above graph, the line of reflection y = -3 is a horizontal line passing through the point (-1,-3).
Now, we need to find the image of the point L(-1,-6) reflected across the line y = -3.
Let's draw a line of reflection and points.
Here is the graph:
graph{JKLM(-4,-3)(-4,-6)(-1,-6)(-1,-3)l_ref(y=-3,-7,0)}
To find the image of point L across the line of reflection y = -3, we follow the below steps:
Step 1: Draw a perpendicular line from L to the line of reflection. It intersects the line of reflection at L1.
Step 2: Find the distance between point L and L1.
Step 3: Draw a line through L1 parallel to the line of reflection.
Step 4: The intersection of the line in Step 3 with y = -3 is the image of L across the line of reflection.
Let's apply these steps to find the reflection image of point L. Here is the graph:graph{JKLM(-4,-3)l_ref(y=-3,-7,0)L(-1,-6)L1(-1,-3)L2(-7,-3)L1L--L2--(1,-3)L-(-1,-3)L'(-1,0)}
Step 1: Draw a perpendicular line from L to the line of reflection. It intersects the line of reflection at L1. So, here the perpendicular line is drawn as L1(-1, -3)
Step 2: Find the distance between point L and L1. The distance between L and L1 is 6 units. So, the distance between L' and L1 is also 6 units.
Step 3: Draw a line through L1 parallel to the line of reflection. Let's draw a line through L1 parallel to the line of reflection. The parallel line is L2 : y = -3
Step 4: The intersection of the line in Step 3 with y = -3 is the image of L across the line of reflection. Let's find the point where L2 intersects y = -3: -1 + 6 = 5. So, the point L' is (-1, 0).
Hence, the correct option is C. L’(-1,0).
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a) Factor f(x)=−4x^4+26x^3−50x^2+16x+24 fully. Include a full solution - include details similar to the sample solution above. (Include all of your attempts in finding a factor.) b) Determine all real solutions to the following polynomial equations: x^3+2x^2−5x−6=0 0=5x^3−17x^2+21x−6
By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.
Find all real solutions to the polynomial equations \(x³+2x ²-5x-6=0\) and \(5x³-17x²+21x-6=0\).Checking for Rational Roots
Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).
The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.
By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).
Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:
-4x⁴ + 26x³ - 50x² + 16x + 24 = (x + 2)(-4x³ + 18x² - 16x + 12)Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).
Attempt 2: Factoring by Grouping
Rearranging the terms, we have:
-4x³ + 18x² - 16x + 12 = (-4x^3 + 18x²) + (-16x + 12) = 2x²(-2x + 9) - 4(-4x + 3)Factoring out common factors, we obtain:
-4x³+ 18x² - 16x + 12 = 2x²(-2x + 9) - 4(-4x + 3) = 2x²(-2x + 9) - 4(3 - 4x) = 2x²(-2x + 9) + 4(4x - 3)Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:
2x²(-2x + 9) + 4(4x - 3) = 2x² (-2x + 9) + 4(4x - 3) = 2x²(-2x + 9) + 4(4x - 3) = 2x²(-2x + 9) + 4(4x - 3) = (2x² + 4)(-2x + 9)Therefore, the fully factored form of \(f(x) = -4x⁴ + 26x³ - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).
Solutions to the polynomial equations:
\(x³ ³ + 2x² - 5x - 6 = 0\)Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +
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Find the perimeter of the triangle his vertices are (4,-3), (-2,0), and (-1,-7). Write the exact answer do not round.
To get the perimeter, we have first find the distance between each pair of points, which will give length of the sides.
In doing this, we will use distance formula between two points.
(x2 - x1) and (y2 - y1) = √(x2 - x1)² + (y2 - y1)²
Hence, let the length of side be L1, L2 and L3
(4 , -3), (-2, 0) and (-1, -7)
L1 = √((-2) - (4))² + ((0) - (-3))²
= √(-2 - 4)² + (0 + 3)²
= √-6² + 3²
= √36 + 9
= √45
L1 = 6.7082
L2 = √((-1) - (-2))² + ((-7) - (0))²
= √(- 1 + 2)² + (-7 - 0)²
= √1² + (-7)²
= √1 + 49
= √50
L2 = 7.0711
L3 = √(-1 - 4)² + ((-7) - (-3))²
= √(-5)² + (-7 + 3)²
= √25 + 16
= √41
L3 = 6.4031
Hence the Perimeter is:
6.7082 + 7.0711 + 6.4031
= 20.1824
numbers that describe diversity in a distribution are referred to as measures of group of answer choices central tendency. association. variability. standard deviation.
Numbers that describe diversity in a distribution are referred to as measures of variability.
Measures of variability describe how spread out or dispersed the data is within a distribution. They provide information about the range of values, the degree of dispersion around the mean, and the degree to which the data deviates from a central value.
Some commonly used measures of variability include the range, variance, and standard deviation. The range is the difference between the highest and lowest values in the distribution. The variance is the average of the squared differences of each value from the mean, while the standard deviation is the square root of the variance. The interquartile range and the coefficient of variation are also examples of measures of variability.
In contrast, measures of central tendency (such as the mean, median, and mode) describe the center or typical value of a distribution, while measures of association (such as correlation coefficients) describe the strength and direction of the relationship between two variables.
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Andre can run 2 1/2 miles in 3/4 hour. Find his average speed in miles per hour
Answer:
3 1/3 miles per hour
Step-by-step explanation:
's' = average speed
(5/2 ÷ 3/4) = (s ÷1)
(5/2 ÷ 3/4) = 10/3
10/3 = s/1
cross-multiply:
3s = 10
s = 10/3
s = 3 1/3 miles per hour
PLZ HELP ME PLS -~-
Answer:
its the firs one
Step-by-step explanation:
Each year, over million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention has launched studies of drug-resistant gonorrhea (CDC.gov website). Of cases tested in Alabama, were found to be drug-resistant. Of cases tested in Texas, were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a level of significance. What is the -value, and what is your conclusion? Test statistic = (to 2 decimals) p-value = (to 4 decimals) Conclusion: - Select your answer -Do not reject the null hypothesis or Reject the null hypothesis Choose the correct option. There is a significant difference in drug resistance between the two states. Alabama has the higher drug resistance rate. - Select your answer -False or True
The correct options are: Test statistic = -1.1566p-value
= 0.2477Conclusion: Do not reject the null hypothesis. False.
Given data: In Alabama, 12 out of 200 cases tested were found to be drug-resistant.
In Texas, 18 out of 250 cases tested were found to be drug-resistant.
The null hypothesis (H0) is that there is no significant difference between the proportions of drug-resistant cases in the two states.
The alternative hypothesis (Ha) is that there is a significant difference between the proportions of drug-resistant cases in the two states.
Level of significance (α) is not given.
We assume it to be 5% or 0.05. The critical value of Zα/2 for a 95% confidence level is 1.96.
Calculating test statistic: Formula for calculating test statistic is:
Z = (p₁ - p₂) / √[ P * (1 - P) * (1/n₁ + 1/n₂)]
Where, p₁ = proportion of drug-resistant cases in Alabama= 12/200
= 0.06p₂ = proportion of drug-resistant cases in Texas
= 18/250 = 0.072P
= (p₁ * n₁ + p₂ * n₂) / (n₁ + n₂)
= (12 + 18) / (200 + 250)
= 0.067n₁ = sample size in Alabama = 200n₂ = sample size in Texas = 250
Now substituting the values, Z = (0.06 - 0.072) / √[ 0.067 * (1 - 0.067) * (1/200 + 1/250)]
= -1.1566
Critical value of Zα/2 for a 95% confidence level is 1.96 since the sample size is large (n₁p₁ > 5, n₁(1 - p₁) > 5, n₂p₂ > 5, n₂(1 - p₂) > 5).-1.1566 lies between -1.96 and +1.96, thus it falls in the acceptance region.
Conclusion: Since the test statistic (-1.1566) lies in the acceptance region and not in the rejection region, we cannot reject the null hypothesis.
Hence, we conclude that there is not enough evidence to suggest that there is a significant difference between the proportions of drug-resistant cases in the two states.
Thus, we choose the answer as "Do not reject the null hypothesis". There is no significant difference in drug resistance between the two states.
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Twenty people are going by van to a movie. Each van seats 8 people. How many vans are needed to take everyone?
Answer:
3
Step-by-step explanation:
20/8=2.5
so 3 vans
Answer:
3
Step-by-step explanation:
Bob owns a hardware store he sells hammers for 15$ on Saturday he sold 36 hammers how much money did he collect for hammers that day
Given:
Bob owns a hardware store he sells hammers for 15$
On Saturday he sold 36 hammers.
The total cost of the hammers =
\(15*36=540\)So, the answer will be $540
the correct values in the table for y=12|3(x+1)|−6
Given the inequality
y=12|3(x+1)|−6
we sre to fill the table for the va;ues of x from 6 to -5
When x = 6
y = 1/2|3(6+1)|−6
y = 1/2|3(7)|−6
y = 1/2|21|-6
y = 1/2(21)-6
y = 10.5-6 and -10.5-6
y = 4.5 and -16.5
When x = 5
y = 1/2|3(5+1)|−6
y = 1/2|3(6)|−6
y = 1/2|18|-6
y = (9)-6
y = 9-6 and -9-6
y = 3 and -15
When x = 4
y = 1/2|3(4+1)|−6
y = 1/2|3(5)|−6
y = 1/2|15|-6
y = 1/2(15)-6
y = 7.5-6 and -7.5-6
y = 1.5 and -13.5
When x = 3
y = 1/2|3(3+1)|−6
y = 1/2|3(4)|−6
y = 1/2|12|-6
y = (6)-6
y = 6-6 and -6-6
y = 0 and -12
When x = 2
y = 1/2|3(2+1)|−6
y = 1/2|3(3)|−6
y = 1/2|9|-6
y = (4.5)-6
y = 4.5-6 and -4.5-6
y = -1.5 and -10.5
When x = 1
y = 1/2|3(1+1)|−6
y = 1/2|3(2)|−6
y = 1/2|6|-6
y = 3-6
y = 3-6 and -3-6
y = -3 and -9
When x = 0
y = 1/2|3(0+1)|−6
y = 1/2|3(1)|−6
y = 1/2|3|-6
y = 1.5-6
y = 1.5-6 and -1.5-6
y = -4.5 and -7.5
When x = -1
y = 1/2|3(-1+1)|−6
y =1/2(0)−6
y = 0-6
y = -6
When x = -2
y = 1/2|3(-2+1)|−6
y = 1/2|3(-1)|−6
y = 1/2|-3|-6
y = -1.5-6 and 1.5-6
y = -7.5 and -4.5
When x = -3
y = 1/2|3(-3+1)|−6
y = 1/2|3(-2)|−6
y = 1/2|-6|-6
y = -3-6 and 3-6
y = -9 and -3
When x = -4
y = 1/2|3(-4+1)|−6
y = 1/2|3(-3)|−6
y = 1/2|-9|-6
y = -4.5-6 and 4.5-6
y = -10.5 and -1.5
When x = -5
y = 1/2|3(-5+1)|−6
y = 1/2|3(-4)|−6
y = 1/2|-12|-6
y = -1.5-6 and 1.5-6
y = -7.5 and -4.5
An ordinary differential equation y′′+5y′+6y=5+6ex is having a general solution y=Ae−2x+Be−3x+yp. Find yp. (Hint: yp=C+Dex ) yp=65−21ex yp=−65+21ex yp=−65−21ex yp=65+21ex
The particular solution yp is: yp = (e^x - 5)/(e^x) + (5e^x)/(e^x) = (e^x)/(e^x) = 1. So, the particular solution yp for the given differential equation is yp = 1.
To find the particular solution yp for the ordinary differential equation y'' + 5y' + 6y = 5 + 6e^x, we can use the method of undetermined coefficients. Since the right-hand side of the equation is of the form 5 + 6e^x, we can assume that the particular solution yp will have a similar form.
Let's assume yp = C + De^x, where C and D are constants to be determined.
Now, let's find the derivatives of yp:
yp' = D e^x
yp'' = D e^x
Substituting these derivatives into the original differential equation:
yp'' + 5yp' + 6yp = (D e^x) + 5(D e^x) + 6(C + De^x)
Simplifying the equation:
6C + (D + 5D)e^x + De^x = 5 + 6e^x
Comparing the coefficients of the exponential term on both sides, we have:
6C + (D + 5D) = 6
6C + 6D = 6
And comparing the constant terms on both sides, we have:
De^x = 5
From the first equation, we find that C + D = 1, and from the second equation, we find that D = 5/e^x.
Substituting the value of D into the equation C + D = 1, we get:
C + 5/e^x = 1
C = 1 - 5/e^x
C = (e^x - 5)/e^x
Therefore, the particular solution yp is:
yp = (e^x - 5)/e^x + (5e^x)/e^x = (e^x)/e^x = 1
So, the particular solution yp for the given differential equation is yp = 1.
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Perform the computation. Express the answer in degrees-minutes-seconds format. 3(10° 39' 39") 3(10° 39' 39")=I*I*
The computation 3(10° 39' 39") results in 31° 59' 57". To perform the computation, we need to multiply 3 by the given angle, which is 10° 39' 39".
When we multiply each component of the angle by 3, we get:
3 * 10° = 30°
3 * 39' = 117'
3 * 39" = 117"
Putting these components together, the result is 31° 117' 117".
To convert 117' 117" to degrees, we need to carry over the extra minutes and seconds. Since there are 60 seconds in a minute, we can simplify 117' 117" as 118' 57".
Thus, the final result is 31° 118' 57", which can be further simplified to 31° 59' 57" by carrying over the extra minutes and seconds.
Therefore, the computation 3(10° 39' 39") is equal to 31° 59' 57".
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The distance from Scott's house to school is 3/5 of a mile scott walked 2/3 of the way there before he stopped to pick up his friend. How far did Scott walk?
Answer:
2/5
Step-by-step explanation:
2/3 of 3/5 means to multiply the fractions to get 6/15
6/15 can be reduced by dividing by 3 to get 2/5
2+2= what +6 HA they cant repo this so u guys can get points
Answer:
10
Step-by-step explanation:
2+2=4
4+6= 10
Answer:
The answer is uhhhhhhhh 10
Step-by-step explanation:
The problem is in the image, please help. Thanks
Answer:
65
Step-by-step explanation:
Answer:
108 degrees
Step-by-step explanation:
The diagonals AC and BD of
trapezoid ABCD intersect the midsegment MN at
points P and R respectively. If the short base DC =
10 cm and AB = 40 cm, find MN and PR.
Answer:
MN=25
Step-by-step explanation:
mn=(ab+cd)/2 --> mn=(40+10)/2 --> mn=50/2 --> mn =25
(this is half an answer and this is what i could get)
12a I need help please
Answer:
Step-by-step explanation:
The only way to solve this is to use trig. The supplement to theta is 180 - tan-1(5/4)
Tan-1 (5/4) = 51.34
Theta = 180 - 51.34 = 128.66
Factorise this : 2p²-p-10
Answer:
Step-by-step explanation:
p(2p-1)-10
Geometry 6.2
What is m∠N
Check the picture below.