Answers
4 is the value of the side LM or x.
From the sine rule of the triangle in ΔLKN. Let N be the join of K and M points.
\(\frac{LN}{sin30^o} =\frac{KL}{sin90^0}\)
So,
LN = 1/2*KL
LN = \(4\sqrt{2}\)
From the sine rule of the triangle in ΔNLM,
\(\frac{LM}{sin45^o} =\frac{LN}{sin90^o}\)
So,
LM = \(\frac{1}{\sqrt{2} } *4\sqrt{2}\)
LM=4 unit
Therefore, the value of the x is 4 units.
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Related Questions
The rectangle has a perimeter of 60 inches. The length of the rectangle is 3 inches less than twice the width. What is the length of the rectangle?
Answers
Hi there! :)
\(\large\boxed{ l = 19 in}\)
Formula for the perimeter of a rectangle:
P = 2l + 2w
Let w = width, and (2w - 3) = length. Plug in the given expressions:
60 = 2(2w - 3) + 2(w)
Distribute the coefficient outside of the parenthesis:
60 = 4w - 6 + 2w
Combine like terms:
60 = 6w - 6
Add 6 to both sides:
66 = 6w
Divide both sides by 6:
w = 11
Substitute in this value of "w" into the equation for the length:
2(11) - 3 = 19.
Which expression is equivalent to log18 – log(p 2)? log StartFraction p 2 Over 18 EndFraction log StartFraction 18 Over p 2 EndFraction log StartFraction 20 Over p EndFraction log left-bracket 18 times (p 2) right-bracket.
Answers
The expression equivalent to log18 – log(p +2) is \(\rm log \left ( \dfrac{18}{p+2} \right )\).
We have to determine
Which expression is equivalent to log18 – log(p +2)?
According to the questionEquation; \(\rm log18 - log(p +2)\)
There is a property of logarithms that when two logarithms are subtracting each other, we can make a single logarithm with the argument being the division of their arguments:\(\rm log(x) - log(y) = log \left(\dfrac{x}{y} \right )\)
By applying the property in the given equation;
\(\rm = log18 - log(p +2)\\ \\ = log \left ( \dfrac{18}{p+2} \right )\)
Hence, the expression equivalent to log18 – log(p +2) is \(\rm log \left ( \dfrac{18}{p+2} \right )\).
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John has $200 in his bank account. He saves $40 of his allowance each month. Kyle has $100 in his bank account but he is saving $50 each month. After how many months will Kyle have at least as much money as John has?
Answers
Answer:
It will take Kyle 10 months to have at least as much money as John. At 10 months both will have 600$
Step-by-step explanation:
John has $200 in his bank account. He saves $40 of his allowance each month. Therefore:
John = 40n+200
Where n is the number of months.
Kyle has $100 in his bank account but he is saving $50 each month. Therefore:
Kyle = 50n+100
To see how much until they are equal or in other words, does Kyle have at least as much money as John has, we make equations equal.
40n+200=50n+100
200=10n+100
100=10n
10=n
Thus, we see that it will take 10 months for Kyle to have at least as much money as John has. We can quickly test this:
John:
John = 40n+200
John = 40(10)+200
John = 600$
Kyle:
Kyle = 50n+100
Kyle = 50(10)+100
Kyle = 600$
Thus, we see that it will take 10 months for Kyle to have at least as much money as John has.
slove this 97-29+34-45*3
Answers
Answer:
-33
Step-by-step explanation:
On a number line, a segment has endpoints of -2.5 and 4.5. What is the midpoint?
Answers
Answer:
1
Step-by-step explanation:
\(Midpoint \\ \\ = \frac{4.5 + ( - 2.5)}{2} \\ \\ = \frac{4.5 - 2.5}{2} \\ \\ = \frac{2}{2} \\ \\ = 1\)
Need help , can’t find this one
Answers
Since it is the inverse g(2) = -3
And f(-3) = 2
A membership committee of three is formed from four eligible members. let the eligible members be represented by a, b, c, and d. the possible outcomes include s = {abc, abd, acd, bcd}. which statements about the situation are true? select three options.
Answers
The correct statements are:
There are four ways to choose the committee.
There are three ways to form the committee if person D must be on it.
If persons B and C must be on the committee, there are two ways to form the committee.
It is given that:
A membership committee of three is formed from four eligible members.
1)
There are four ways to choose the committee.
This statement is true.
since we have to choose 3 members out of the 4 members so we can use the method of combination.
2)
There are three ways to form the committee if person D must be on it.
This statement is also true.
since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.
3)
If seven members are eligible next year, then there will be fewer combinations.
This statement is wrong.
Since we have to choose 3 members out of 7 members so the number of possible combinations will be:
i.e. there are 35 combinations possible.
4)
If persons B and C must be on the committee, there are two ways to form the committee.
if B and C have to be in the committee then we have to choose just one person out of the two people left.
Hence, the statement is true.
5)
If persons A and C must be on the committee, then there is only one way to form the committee.
If A and C have to be in the committee then as in last option we have to choose any one of the two person left.
so possible number of ways are 2.
Hence, the statement is false.
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Hw I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answers
Answer:
B is the correct answer
Step-by-step explanation:
multiply the number of beads needed by the number of necklaces she is making.
Answer:
B
Step-by-step explanation:
For every 7 sapphires, there are 6 rubies.
You can write as a ratio. 7 : 6
You can multiply both sides by the same number
S = Sapphires
R = Rubies
s : r
7 : 6
14 : 12
21 : 18
28 : 24
This table can be expressed on a number line, just like choice B.
HELP ASAP
What is the solution to the system of equations?
y = x + 3
y = -x-1
Answers
Answer:
(A) Is right
Step-by-step explanation:
\(y = x + 3 \\ y = - x - 1 \\ substitute \: y = - x - 1 \: in \: above \: eq \\ weget \\ - x - 1 = x + 3 \\ 2x = - 4\\ x = - 2 \\ \\\)
put X= -2. in y = X+3
to get y 's value
Y = -2+3
= 1
therefore, your solution is ( -2,1)
Let f and g be the functions defined by f(x) = 1 + x + e^x^2 - 2x and g(x) = x^4 - 6.5x^2 + 6x + 2. There are two regions on the interval 0 x 2 which are enclosed / and g.
Answers
For given functions f and g, the sum of the areas of the enclosed regions is 2.004 sq. units. and the sum of the volumes of the enclosed regions is 1.283 cubic units
In this question we have been given two functions f and g defined by
f(x) = 1 + x + e^x^2 - 2x and g(x) = x^4 - 6.5x^2 + 6x + 2.
There are two regions on the interval 0 x 2 which are enclosed / and g. We need to find the sum of the areas of the enclosed regions and the sum of the volumes of the enclosed regions.
The graph of functions is as shown below.
We can observe that the graphs of y = f(x) and y = g(x) intersect in the first quadrant at the points (0, 2), (2, 4), and (A, B) = (1.032832, 2.401108).
The sum of the areas of the enclosed regions is given by
A = ∫[0-A] (g(x) - f(x)) dx + ∫[A - 2] (f(x) - g(x)) dx
A = 0.997427 +1.006919
A = 2.004
And the sum of the volumes of the enclosed regions is given by
Volume V =∫[0-4] [[ƒ(x) − g(x)]² dx
V = ∫[0-4] [1 + x + e^x^2 - 2x - x^4 + 6.5x^2 - 6x - 2]^2 dx
V = 1.283
Therefore, the sum of the areas of the enclosed regions is 2.004 sq. units. and the sum of the volumes of the enclosed regions is 1.283 cubic units
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Liam has 45 pencils Sophia has 25 pencils and micheal has 85. Use the GCF and the distributive property to find the total number of pencil Liam Sophia and micheal have
Answers
Which construction uses the compass for only one step in addition to drawing the circle itself? an equilateral triangle inscribed in a circle a square inscribed in a circle a regular hexagon inscribed in a circle a diameter of a circle
Answers
The construction that uses the compass for only one step in addition to drawing the circle itself is A. an equilateral triangle inscribed in a circle.
What is a compass?It should be noted that a compass simply means a device that's used to show cardinal directions. It's also used in mathematics to draw shapes.
In this case, the construction that uses the compass for only one step in addition to drawing the circle itself is an equilateral triangle inscribed in a circle.
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A candle maker is ordering wax. Each small candle uses 12 ounces of wax. Each large candle uses 18 ounces of wax. The candle maker wants to make 42 small candles and 38 large candles.
Which answer is the most reasonable estimate of the total amount of wax needed?
Answers
Answer:
1188
Step-by-step explanation:
12x42 + 18x38 = 1188
In a crate, containing only red and green
apples, the ratio of green to red apples
is 2:1
An apple is picked at random and
removed from the crate.
A second apple is then picked at
random.
The probability of picking two green
apples is y.
Find the error interval for y.
Answers
The required error interval for y(probability of picking two green
apples) is [1/4, 1/4].
How to find the error interval?The probability of picking two green apples can be calculated by multiplying the probability of picking a green apple on the first pick by the probability of picking another green apple on the second pick, given that the first pick was a green apple.
According to data:Let's call the number of green apples in the crate G, and the number of red apples in the crate R. Based on the given information, the ratio of green to red apples is 2:1, so we have G = 2R.
The probability of picking a green apple on the first pick is G/(G + R), and the probability of picking a green apple on the second pick, given that the first pick was a green apple, is (G-1)/(G + R - 1).
Therefore, the probability of picking two green apples is:
y = (G/(G + R)) * ((G-1)/(G + R - 1)) = (G/(G + R))²
Since we know that G = 2R, we can substitute that into the equation for y to get:
y = (2R/(2R + R))² = (2/(3R + R))² = (2/4R)² = 4/16 = 1/4
So the error interval for y is [1/4, 1/4].
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Can someone help me please
Answers
Answer:
DNE
Step-by-step explanation:
The left limit is +1; the right limit is -1. These are different, so the limit does not exist.
A farmer applies different fertilizer to his wheat crops to see which will make his plants grow the highest.
What is the independent variable?
Answers
Answer:
highest )hope this helps :)
Step-by-step explanation:
Answer:
The crop
Step-by-step explanation:
As the type of fertilizer changes it can not be the independent variable. Since nothing else (except the farmer) is referenced we can deduct that the crop is the independent variable.
Please find the angles
Answers
Step-by-step explanation:
a/q both the traingles are similar/congruent so,
theri angles also have equal value
angle Q = angle A
so,
apply angle sum property of triangle in ∆PQR
so according to it
Angle
P + Q + R = 180
→ 45° + 15° + Q = 180
→ 60° + Q = 180
→ Q = 180 - 60 = 60°
→ angle Q = 60°
therefore, angle A = 60°
Angle R = angle B
so,
angle B = 15°
as, angle P = angle C
so,
angle C = 45°
hope this answer helps you dear....take care and may u have a great day ahead!
If f
is continuous and ∫
9
0
f
(
x
)
d
x
=
4
, find ∫
3
0
x
f
(
x
2
)
d
x
.
Answers
Value of ∫90f(x)dx is 2/3. By property 1 of integration ∫f(x)dx = ∫f(t)dt Because f(x) is a continuous function ,so we can apply property 1.
Define continuous function:A function f(x) is said to be a continuous function in calculus at a point x = a if the curve of the function does NOT break at the point x = a. The mathematical definition of the continuity of a function is as follows. A function f(x) is continuous at a point x = a if
f(a) exists;
limₓ → ₐ f(x) exists;
[i.e., limₓ → ₐ₋ f(x) = limₓ → ₐ₊ f(x)] and
Both of the above values are equal. i.e., limₓ → ₐ f(x) = f(a).
Is this definition really giving the meaning that the function shouldn't have a break at x = a? Let's see. "limₓ → ₐ f(x) exists" means, the function should approach the same value both from the left side and right side of the value x = a and "limₓ → ₐ f(x) = f(a)" means the limit of the function at x = a is same as f(a). These two conditions together will make the function to be continuous at that point.
A function is said to be continuous over an interval if it is continuous at each and every point on the interval. i.e., over that interval, the graph of the function shouldn't break or jump.
∫90f(x)dx = 4
Therefore, ∫f(x)dx = 4/90
Let, X² = t
By differentiate both side ,
We get,
2xdx = dt
so, 30/2 ∫f(t)dt
from property 1 : ∫f(x)dx = ∫f(t)dt
15∫f(t)dt = (4/90) × 15 = 2/3
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IF one the following is true which box is the money
Focus on the word IF
Box 1 : Here
Box 2: not here
Box 3: not in the first
Please explain I'm giving brainiest and focus on the word if what box is it in if you get it correct I will give u 100 points after I check the answer
Answers
Can anyone Help please.
Answers
Answer:
D
Step-by-step explanation:
The remaining material can be calculated as
volume of larger cube - volume of smaller cube
= a³ - b³ ← difference of cubes which factors in general as
= (a - b)(a² + ab + b²) → D
two chemicals a and b are combined to form a chemical c. the rate, or velocity, of the reaction is proportional to the product of the instantaneous amounts of a and b not converted to chemical c. initially, there are 40 grams of a and 50 grams of b, and for each gram of b, 2 grams of a is used. it is observed that 10 grams of c is formed in 10 minutes. how much (in grams) is formed in 20 minutes? (round your answer to one decimal place.) 29.3 incorrect: your answer is incorrect. grams what is the limiting amount (in grams) of c after a long time? grams how much (in grams) of chemicals a and b remains after a long time? a grams b grams
Answers
20 grams are formed in 20 minutes, the limiting amount (in grams) of C after a long time is 40 grams and 0 grams of A and 30 grams if B chemicals remain after a long time.
The reaction can be represented by the following equation:
2A + B -> C
Initially, there are 40 grams of A and 50 grams of B. After 10 minutes, 10 grams of C is formed. This means that 5 grams of B and 10 grams of A were used up in the reaction.
After 10 minutes, there are 30 grams of A and 45 grams of B remaining. The reaction will continue until one of the reactants is used up. In this case, A is the limiting reactant because there are less grams of A remaining than B.
After 20 minutes, 20 grams of C will be formed because the reaction rate is constant. This means that 10 grams of B and 20 grams of A will be used up in the reaction.
After 20 minutes, there will be 10 grams of A and 35 grams of B remaining. The reaction will continue until all of the A is used up.
After a long time, the limiting amount of C will be 40 grams because all of the A will be used up in the reaction. This means that 20 grams of B will be used up in the reaction.
After a long time, there will be 0 grams of A and 30 grams of B remaining.
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What is 38 Inches in Feet?
Answers
38 inches is equivalent to 3.166666667 feet.
To convert inches to feet, you can use the conversion factor of 1 inch = 0.08333333 feet. This means that for every inch, there are 0.08333333 feet. To convert 38 inches to feet, you would divide 38 by 12 (the number of inches in a foot) using this conversion factor.
Alternatively, you can use a conversion calculator or a conversion table. These can be found online or on your smartphone, and they are especially useful when you need to convert large numbers or when you need to convert measurements on a regular basis.
It's important to note that the conversion factor of 1 inch = 0.08333333 feet only gives you the approximate value of height in feet, as rounding errors may occur. However, it is an easy way to quickly convert inches to feet in your head.
It's important to be aware of the units of measurement when working with measurements, especially when traveling internationally or when working with recipes or other information that use different units. Knowing how to convert inches to feet can be helpful in many situations, such as when reading product specifications or when communicating with people who use the imperial system.
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А ___is just another way of saying what we want to count
by on our graph.
Answers
Answer:
An axis
Step-by-step explanation:
They give information about the states
on average, a banana will last 6.5 days from the time it is purchased in the store to the time it is too rotten to eat. is the mean time to spoil greater if the banana is hung from the ceiling? the data show results of an experiment with 15 bananas that are hung from the ceiling. assume that that distribution of the population is normal.
Answers
No, the mean time to spoil is not necessarily greater if the banana is hung from the ceiling.
This can only be determined by analyzing the data from the experiment with 15 bananas. If the sample mean is greater than 6.5 days, then the mean time to spoil is greater when the banana is hung from the ceiling. If the sample mean is less than or equal to 6.5 days, then the mean time to spoil is not necessarily greater when the banana is hung from the ceiling.
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Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water. If the water input contained at a constant rate, how many more hours are needed to completely fill the 920-gallon pooo?
Answers
It will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
After 5 hours the pool filled with 230 gallons
Let's suppose that after x hours the pool will fill with 920 gallons
After x hours the pool filled with 920 gallons.
As the water input contained at a constant rate
So the value of x can be evaluated:
\(\rm x = \frac{920\times5}{230}\)
x = 20 hours
Thus, it will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.
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can someone please help me, i put it at 40 points :) please help.
Answers
Answer:
5x + 2
Step-by-step explanation:
X is going to be the "number"
5 times the number
and then add two
Answer:
2 + 5 x n
Hope this helps
The table shows the length and width of proportional rectangles. Length (in inches) 8 12 24 32 width (in inches) 10 15 30 40 using the table, find the width of a rectangle that has a length of 72.
Answers
On solving the problem, we get 90 inches as the width of a rectangle that has a length of 72.
What exactly is a rectangle?The parallel sides of a rectangle are equal to one another, and each of its four vertices is 90 degrees, making it a type of quadrilateral. As a result, it is also referred to as an equiangular quadrilateral. The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
As the proportion are same,
\(\frac{a}{b} = \frac{c}{d}\)
And here,
length of first rectangle, a
length of second rectangle, c
Width of first rectangle, b
Width of second rectangle, d
\(\frac{8}{10} = \frac{72}{\alpha }\)
\(\alpha = \frac{72 X 10}{8}\)
\(\alpha = 90 inches\)
Answer is 90 inches
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The names of the automobile manufacturer of the car that you drive is what type of variables ( scales of measurement)
Answers
The type of variable that represents the names of the automobile manufacturers would be the categorical variable.
What are variables in research work?A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.
There are various types of variables that include the following:
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An instructor asked
a random sample of eight students to record their study times at the beginning of a below. Complete parts (a) through (d). X 11 16 12 18 7 16
16 24 D 85 79 78 y 91 85 82 75 86 2 Σχ= 120, Σy = 661, Σxy = 9,793, Σx =
1,982, Σy = 54,801 a. Compute SST, SSR, and SSE, using the formulas, SST = Σy? - (Σy;)²/n, SSR= SST = 185.88 (Round to two decimal places as needed.) SSR = 81.78 (Round to two decimal places as needed.) SSE 104.1 (Round to two decimal places as needed.) Next question (Σxx-(Ex) (Ex)/n)² Ex² - (Ex)²/n 2 56.01% (Round to two decimal places as needed.)
d. State how useful the regression equation appears to be for making predictions. Choose the correct answer below. 1 hade a table for total hours studied (x) over 2 weeks and test score (y) at the end of the 2 weeks. The table is given and SSE = SST - SSR. 2 b. Compute the coefficient of determination, r². r² = 0.5601 (Round to four decimal places as needed.) c. Determine the percentage of variation in the observed values of the response variable explained by the regression, and interpret your answer.
Answers
The regression equation appears to be moderately useful for making predictions, but it cannot explain all the variability in the test scores.
The percentage of variation in the observed values of the response variable explained by the regression is equal to r², which is 0.5601 or 56.01%. This means that approximately 56.01% of the variability in the test scores can be explained by the linear relationship between the total hours studied and test score. The remaining 43.99% of the variability in the test scores may be due to other factors not included in the model. Therefore, the regression equation appears to be moderately useful for making predictions, but it cannot explain all the variability in the test scores.
In statistics, the coefficient of determination (r²) is used to measure how much of the variation in the response variable (test scores) can be explained by the explanatory variable (total hours studied). An r² value of 1 indicates a perfect fit where all the variability in the response variable can be explained by the explanatory variable, whereas an r² value of 0 indicates no linear relationship between the two variables.
In this case, the r² value is 0.5601 or 56.01%, which means that approximately 56.01% of the variability in the test scores can be explained by the linear relationship between the total hours studied and test score. This indicates that there is a moderate association between the two variables.
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On a coordinate plane, 2 lines intersect at (0, 5).
Complete the statement.
The lines shown in the graph have the same
x-intercept.
y-intercept.
equation.
slope.
Answers
Answer:
y - intercept
Step-by-step explanation:
I took the assignment
Answer: b
y-intercept.
Step-by-step explanation:
did the assessment