Triangle LMN has vertexes at L(-1, -6), M(1, -6), and N(1, 1). Find the measure of angle L to the nearest degree.
Answers
is a right-triangle, and you can pretty much see how long "y" and "x" are.
make sure your calculator is in Degree mode.
Related Questions
Determine the number of possible triangles, abc, that can be formed given c = 85°, a = 10, and c = 13. 0 1 2
Answers
m∠C = 85°, a= 10, c = 13
From the Law of Sines,
sin(A)/a = sin(C)/c
sin(A) = (a/c)*sin(C)
= (10/13)*sin(85°)
= 0.7663
m∠A = sin⁻¹ 0.7663 = 50°, or 130°
When m∠A = 50°, obtain
m∠B = 180° - (m∠A + m∠C) = 180 - (50+85) = 45°
Again from the Law of Sines, obtain
b = (sinB/sinC)*c = 9.2
When m∠A = 130°, obtain
m∠B = 180° - (130 + 85) = -35° (not possible)
Therefore this triangle does not exist.
Answer:
There is only one possible triangle, with
A=50°, B=45°, C=85°, a=10, b=9.2, c=13.
Final answer:
Correcting for the apparent typo in the question, assuming 'c' refers to an angle and a side length respectively, there can only be one possible triangle formed given the angle and two sides. This is based on geometric principles where a unique triangle can be determined from an angle opposite and its respective side length.
Explanation:
The question presents a probable typo since it mentions two different values for 'c'. Assuming 'c = 85°' refers to an angle, and 'c = 13' refers to the length of a side opposite this angle, the proper interpretation involves finding possible triangles given an angle and two sides. However, the principles of geometry dictate that with one angle and two sides specified, especially in this non-ambiguous manner where one side length and the angle opposite are known, one can determine a unique triangle, assuming the given information leads to a viable geometric figure.
By using the Law of Sines, one might attempt to find the other angles or sides, but since we only have one angle and one side length, we directly know there's no ambiguity - geometrically speaking, there's only one way to construct such a triangle, thus, only one possible triangle can be formed given the corrected assumptions.
Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term.
-3x^5 + 9x^4 + 5x^3 + 3
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In this case because the highest order term is -3x^5, as x approaches -oo, y approaches +oo. And as x approaches +oo, y approaches -oo.
Write a possible function rule for the following sequence.
11, 15, 19, 23, 27, ...
a(n)=?
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a(n)=a+d(n-1), a=initial term, d=common difference, n=term number
In this case we know a=11 and d=4 so
a(n)=11+4(n-1) which can be simplified...
a(n)=11+4n-4
a(n)=4n+7
Match the perfect square trinomials with their factors 4a2 + 4a + 1 (2 + a)(2 + a) 4a2 − 4a + 1 (2a + 1)(2a + 1) 4 − 4a + a2 (2a − 1)(2a − 1) 4 − 4a − a2 (2 − a)(2 − a) 4 + 4a + a2
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4 − 4a + a2 = (2 - a)^2 = (2 − a)(2 − a)
4a2 − 4a + 1 = (2a -1)^2 = (2a − 1)(2a − 1)
4 + 4a + a2 = (2 + a)^2 = (2 + a)(2 + a)
Find the area of the circle with the given radius or diameter. Use = 3.14.
r = 6
A =
37.68 sq. units
113.04 sq. units
226.08 sq. units
Answers
Area of a circle = [tex] \pi r^{2} [/tex] = [tex]3.14 * 6 * 6 = 3.14 * 36 = 113.04 [/tex] sq. units.
Hence, the answer is B.
Answer: 113.04 sq. units
Point r is located at (3,0). point s is located at (0,-4). what is the equation of the line through these two points
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slope = (-4 - 0) / (0 - 3) = -4/-3 = 4/3
y = mx + b
slope(m) = 4/3
(0,-4)....x = 0 and y = -4
now we sub and find b, the y int
-4 = 4/3(0) + b
-4 = b
so ur equation is : y = 4/3x - 4....or 4x - 3y = 12 <==
What percent of 210 is 70?
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[tex]\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 210&100\\ 70&x \end{array}\implies \cfrac{210}{70}=\cfrac{100}{x}\implies x=\cfrac{70\cdot 100}{210}[/tex]
so x%=x/100
'of' means multiply
so
what percent of 210 is 70 translates to
x/100 times 210=70
210x/100=70
21x/10=70
times 10 both sides
21x=700
divide both sides by 21
x=33.333333
33.33333333% of 210 is 70
HOW DO YOU MOVE A VARIABLE FROM ONE SIDE OF AN EQUATION TO ANOTHER? I need to know as I'm reviewing module 7 algebra and i want to know please
Answers
For example in the equation 5+a=7, subtract a from both sides to get 5=7-a.
If the initial equation was 5-a=7, add from both sides (5=a+7).
Basically, if the initial value is negative, add its value to cancel to zero.
Do the opposite if the initial value is positive.
What is the circumference of this circle, in millimeters? use 22/7 for pi
r = 49
Answers
Answer: circumference = 308mm
Step-by-step explanation: the formula for the circumference of a circle is given by
C=2πr
Given that r=49mm
Pi=22/4
C=2*22/7*49
C=44*7=308mm
In geometry, the circumference of a circle is the distance around it. That is, the circumference would be the length of the circle if it were opened up and straightened out to a line segment. Since a circle is the edge of a disk, circumference is a special case of perimeter.
Find the missing length.
Answers
a^2+b^2=c^2
12^2+9^2=c^2
144+81= c^2
225=c^2
15=c
Final answer: c=15
Simplify 5 − (−1).
a. 6
b. −6
c. 4
d. −4
Answers
Subtracting a negative number is the same as adding a positive.
So instead of
5 - (-1)
We could write
5 + 1
5 + 1 = 6
The answer is 6.
Hope this helps! :)
Answer: it is a
Step-by-step explanation: :) :v :B
The circle given by x^2+y^2-4x-10=0 can be written in standard form like this: (x-h)^2+y^2=14. What is the value of h in this equation??
Answers
Answer: H=2
Step-by-step explanation:
we just need to complete the square for the x terms
gropu x terms
x^2-4x
take 1/2 of linear coefient and square it
-4/2=-2, (-2)^2=4
x^2-4x+4
factor
(x-2)^2
h=2
The value of h is 2.
Completing the square for the x terms by grouping x terms
x^2-4x
Taking 1/2 of linear coefficient and squaring it.
-4/2=-2, (-2)^2=4
x^2-4x+4
Factorizing the equation.
(x-2)^2
h=2.
What is an equation?An equation is a mathematical statement this is made of two expressions related with the aid of an identical sign. As instance, 3x – 5 = 16 is an equation. To fix this equation, we get the value of the variable x as x = 7.
Learn more about the equation here: https://brainly.com/question/2972832
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The population of a type of local frog can be found using an infinite geometric series where a one equals 84 and the common ratio is one over five find the sum of the infinite series that will be the upper limit of this population. 87,105,425, or this series is divergent
Answers
Since r, the common ratio squared is less than one, the sum will converge to a limit. Rule: if r^2<1 infinite series converges, otherwise it diverges.
Since the sum of any geometric sequence is:
s(n)=a(1-r^n)/(1-r)
And if r^2<1, (1-r^n) becomes 1-0=1 as n approaches infinity.
So whenever r^2<1 the sum of the infinite series is just:
s(n)=a/(1-r)
Since a=84 and r=1/5 this infinite series has a sum of:
s(n)=84/(1-1/5)
s(n)=84/(4/5)
s(n)=5(84)/4
s(n)=105
The vertical ______ of the function secant are determined by the points that are not in the domain.
Answers
4n-3<12 solve and please don't give me the answer just the equation
Answers
So first bring -3 to the right hand side:
4n-3<12 => 4n < 12+3 => 4n < 15
Then divide by 4
4n/4 < 15/4 => n < 15/4
You can't simplify it beyond that.
Divide 35b^5 +20ab^3 +20a^2b^2 by 5b^2
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So 35b^5 / b^2 = 35b^3, 30ab^3 / b^2 = 30ab, and 20a^2b^2 / b^2 = 20a^2.
So your final answer is 35b^3 + 30ab + 20a^2.
Redo, Answers please?
Answers
10) ?=13
14) ?=13
11+15+13 = 39
39 - 27 = 12
so
answer
? = 12
10)
18 - 11 + 13 = 20
33 - 20 = 13
so
answer
? = 13
14)
16+17+12=45
45 - 27 = 18
answer
? = 18
Find the area under the standard normal curve between z = -1.5 and z = 2.5
Answers
To area under the standard normal curve between z = -1.5 and z = 2.5 is 0.927
Explanation:A standard normal curve, also known as the standard normal distribution, is a bell-shaped, symmetrical probability distribution with a mean of 0 and a standard deviation of 1. It serves as a reference for many statistical analyses and is often denoted as the Z-distribution.
To find the area under the standard normal curve between z = -1.5 and z = 2.5, we need to use the z-table. The z-score of -1.5 corresponds to an area of 0.0668 and the z-score of 2.5 corresponds to an area of 0.9938. To find the area between these two z-scores, we subtract the smaller area from the larger area:
= 0.9938 - 0.0668
= 0.927
Learn more about Standard Normal Curve here:
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The area between these z-scores is 0.9270.
The area under the standard normal curve between z = -1.5 and z = 2.5 can be found using the z-table.
First, find the area to the left of
z = -1.5, which is 0.0668.
Next, find the area to the left of
z = 2.5, which is 0.9938.
Subtract these two values to get the area between z = -1.5 and z = 2.5 :
0.9938 - 0.0668
= 0.9270.
enter an equation in slope-intercept form that describes a line that contains the points (4,1) and (4,2)
Answers
so... the slope is undefined, the graph of it is just a vertical line, check the picture below, and that's the equation.
now... you can't quite put it in y = mx + b, or slope-intercept form, since it has no defined slope and it doesn't have an y-intercept either.
A given line has the equation 10x + 2y = −2.
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?
Answers
Step 1
Find the slope of the given line
we have
[tex]10x+2y=-2[/tex]
Isolate the variable y
Subtract [tex]10x[/tex] both sides
[tex]2y=-10x-2[/tex]
Divide by [tex]2[/tex] both sides
[tex]y=-5x-1[/tex]
The slope of the given line is
[tex]m=-5[/tex]
Step 2
Find the equation of the line that is parallel to the given line and passes through the point [tex](0, 12)[/tex]
we know that
If two lines are parallel. then their slope are equal
In this problem we have
[tex]m=-5[/tex]
[tex](0, 12)[/tex]
The equation of the line into slope-intercept form is equal to
[tex]y=mx+b[/tex]
substitute the values
[tex]12=-5*0+b[/tex]
[tex]b=12[/tex]
the equation of the line is
[tex]y=-5x+12[/tex]
therefore
the answer is
[tex]y=-5x+12[/tex]
A square garden plot has an area of 75 ft^2. Find the length of each side in simplest radical form. Calculate the length of each side to the nearest tenth of a foot..
Answers
The area of a square is calculated by the formula:
A = l²
As A = 75 ft², we have:
75 = l²
l = √75
Now, note that: 75 = 3 . 25 = 3 . 5²
So:
l = √(3 . 5²) = √3 . √(5²)
l = 5√3 ft
Now, we can assume √3 = 1.73
l ≈ 5 * 1.732
l ≈ 8,7 ft (Note that I have already put it in the nearest tenth)
OK :)
If BC = 5 and CD = 26, find AC.
Answers
Answer:
[tex]AC=\sqrt{130}[/tex]
Step-by-step explanation:
AC is the geometric mean. Solve it using this proportion:
[tex]\frac{BC}{AC}=\frac{AC}{CD}[/tex]
Now fill in the values we know:
[tex]\frac{5}{AC}=\frac{AC}{26}[/tex]
Cross multiply to get
[tex](AC)^2=130[/tex]
That means that
AC = [tex]\sqrt{130}[/tex], which, in decimal form is
AC = 11.40175425
Smallville’s town council has records of the town’s budget over a 10-year period. Create a best fit and model for the data. What does the model predict the town’s budget will be in the year 2011?
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If these were the missing choices:
A)$391,000
B)$417,000
C)$404,000
D)$411,000
My answer is D) $411,000 in 2011.
There is an average increase of 4% from the previous budget to arrive at the amount of the current year.
2009 budget $381,700
381,700 * (1.04)² = 381,700 * 1.0816 = 412,846.72 only Choice D. is nearest to the amount
2000 budget $265,100
265,100 * (1.04)¹¹ = 265,100 * 1.540 = 408,254 only Choice D. is nearest to the amount.
Yana is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below: A triangle ABC is shown. D is a point on side AB and E is a point on side AC. Points D and E are joined using a straight line. The length of AD is equal to 4, the length of DB is equal to 5, the length of AE is equal to 6 and the length of EC is equal to 7. She starts with the assumption that segment DE is parallel to segment BC. Which inequality will she use to contradict the assumption? 4:9 ≠ 6:13 4:9 ≠ 6:7 4:13 ≠ 6:9 4:5 ≠ 6:13
Answers
Please see attached file for the triangle’s figure:
Going with the image attached, if DE is parallel to BC
then
4: (4 + 5) = 6 : (6 + 7).
Therefore, the inequality that she will use to contradict the assumption
is 4:9 ≠ 6:13.
To add, a relation that holds
between two values when they are different in mathematics is called an inequality. A is not equal to b also means the notation a ≠ b.
Inequalities are governed by the following properties:
Transitivity
Converse
Addition and subtraction
Multiplication and division
Additive inverse
Multiplicative inverse
Applying a function to both sides
Answer:
4:9 ≠ 6:13.
Step-by-step explanation:
When 332 college students are randomly selected and surveyed, it is found that 113 own a car. find a 99% confidence interval for the true proportion of all college students who own a car?
Answers
n = 332, sample size
p = 113/332 = 0.3404, sample proportion
99% confidence interval
The confidence interval for the population is calculated from
[tex]p \pm z^{*} \sqrt{ \frac{p(1-p)}{n} } [/tex]
where z* = 2.58 for the 99% confidence level (from tables)..
[tex]2.58 \sqrt{ \frac{0.3404(1-0.3404)}{332} } =0.0671[/tex]
Therefore the 99% confidence interval is
(0.3404 - 0.0671, 0.3404 + 0.0671) = (0.2733, 0.4075)
Answer:
The 99% confidence interval is (0.273, 0.408) or (27%, 41%).
That is, between 27% and 41% of the students own cars.
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -(x-4)2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answers
g(x) is f(x) reflected about the about the x-axis and shifted to the right by 4 units.
Since -x^2-5 = 0 implies x = +-sqrt(5)i, there are no x-intercepts
Transformations:
Reflect f(x) in the x-axis,
then vertically shift the result down by 5 units,
to get g(x).
if you subtract 23.47 km from 560.589 km, how many significant digits would your answer have?
Answers
alrite... looks good, however, when it comes to dealing with significant digits, for addition/subtraction, we go with the lowest significant amount for decimals, in this case,
560.589 <--- has 6 significant digits, accurate to the 1000th place
23.47 <--- has 4 significant digits, and is accurate to the 100th place
thus, our answer will have to be rounded up in 2 significant decimals, or 537.12
and that only has 5 significant digits, since is rounded up to the 100th place.
How do I set up this equation and solve ?
Answers
angles in a triangle need to equal 180 degrees
so x = 180 - 47 - 58
x = 180-105
x= 75 degrees
How many cans of paint are needed to cover an area of 2,200 square units if one can of paint covers an area of 400 square units? 4 5 6 8?
Answers
Then you just need to divide 2,200 square units with 400 square units.
The equation will be : (2,200 square units / 400 square units) x 1 can= 4.5 cans
After you round up the result it would be 5 cans.
Answer: 5 cans
A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant between the number of cans made and the number of sheets of metal used is
a-36
b-18
c-288
d-5