What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply. Sin(20°)=LN/8. Cos(70°)=8/LN . Tan(70°)=LN/MN . Sin(20°)=8/LN . Cos(70°)= LN/8
Answers
Answer:sin(20)= LN/8
And COS(70)=LN/8
Step-by-step explanation:
The length of LN by the trigonometric relations are
a) sin ( 20 )° = LN / 8
b) cos ( 70 )° = LN / 8
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented by ΔLMN
where the measure of ∠LMN = 20°
The measure of ∠NLM = 70°
And , the triangle is right at ∠LNM = 90°
The measure of hypotenuse LM = 8 units
From the trigonometric relations
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
So , sin ( 20 )° = LN / 8
cos ( 70 )° = LN / 8
Hence , the trigonometric relations are solved
To learn more about trigonometric relations click :
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The complete question is attached below :
What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply.
Sin(20°)=LN/8.
Cos(70°)=8/LN .
Tan(70°)=LN/MN .
Sin(20°)=8/LN .
Cos(70°)= LN/8
Related Questions
100 points!!!
Multi-Step Equations with Distributive Property
Answers
Answer:
An example below
Step-by-step explanation:
5(4a + 7(a + 2b))
First simply the inside bracket using distributive property:
7(a + 2b)
7(a) + 7(2b)
7a + 14b
5(4a + 7a + 14b)
5(11a + 14b)
Use distributive property again
5(11a) + 5(14b)
55a + 70b
Answer:
x= -2
Step-by-step explanation:
An example could be
10 ( x+2) + 3(x+4) = 6(x+3)
Distribute
10x+20 +3x+12 = 6x+18
Combine like terms
13x +32 = 6x+18
Subtract 6x from each side
13x-6x +32 = 6x-6x+18
7x +32 = 18
Subtract 32 from each side
7x +32-32 = 18-32
7x =-14
Divide by 7
7x/7 = -14/7
x = -2
Write a expression to represent the perimeter of the following triangle. 3k+5. 2k+16 4k+15
Answers
Answer:
P = 9k + 36
Step-by-step explanation:
Assuming these are the following sides
3k+5. 2k+16 4k+15
To find the perimeter we add the sides
P = 3k+5+ 2k+16+ 4k+15
Combine like terms
P = 9k + 36
Use the information to write an equation with variables on both sides. Let x represent Kim’s age.
Bob is 4 years older than twice Kim’s age.
Paul is 1 year younger than 3 times Kim's age.
Bob and Paul are the same age.
Which equation can be used to determine Kim’s age, x, from the information about Bob and Paul?
4x + 2 = 3x + 1
4x + 2 = 3x + (–1)
2x + 4 = 3x + 1
2x + 4 = 3x + (–1)
Answers
Hey! I hope this helps!
Answer:2x + 4 = 3x+ (-1)
Option D)
Step-by-step explanation:We are given the following in the question:
Let x represent Kim's age
"Bob is 4 years older than twice Kim's age"
Thus, Bob's age =
4 + 2x years
"Paul is 1 year younger than 3 times Kim's age."
Thus. Paul's age is
(3x - 1) years
If Bob's age and Paul's age is equal, we can write:
2x + 4 = 3x + (-1)
Thus, the required expression is
2x + 4 = 3x + (-1)Option D)
Option D! 2x + 4 = 3x + (-1)The equation can be used to determine Kim’s age will be 2x + 4 = 3x + (–1). Then the correct option is D.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Use the information to write an equation with variables on both sides. Let x represent Kim’s age.
Bob is 4 years older than twice Kim’s age. Then the age of the Bob will be in terms of x.
B = 2x + 4
Paul is 1 year younger than 3 times Kim's age. Then the age of the Paul will be in terms of x.
P = 3x – 1
Bob and Paul are the same age.
B = P
Put the value of B and P, then we have the equation will be
2x + 4 = 3x – 1
2x + 4 = 3x + (–1)
Then the correct option is D.
More about the linear system link is given below.
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Araceli had 61 pennies and then lost 12. Now she wants to buy a treat that costs 4 sevenths of the pennies she has left. How many pennies does the treat cost?
Answers
The treat would cost 7 cents of your 49
The diagram below shows scalene triangle JKL. Triangle J K L. Side L K extends to point H to form exterior angle J K H. Which is true about the diagram? Select two options. Measure of angle J K H + measure of angle J K L = 180 degrees Measure of angle J K L + measure of angle J L K + measure of angle K J L = 180 degrees Measure of angle J K H = measure of angle J L K Measure of angle J K L + measure of angle J L K = 90 degrees Measure of angle K J L = measure of angle K L J
Answers
Answer:
Step-by-step explanation:
Measure of angle J K H + measure of angle J K L = 180 degreesTrue.
Measure of angle J K L + measure of angle J L K + measure of angle K J L = 180 degreesTrue. The sum of all interior angles = 180
Measure of angle J K H = measure of angle J L K =Can't tell from info given.
Measure of angle J K L + measure of angle J L K = 90 degreesCan't tell from info given.
Measure of angle K J L = measure of angle K L JCan't tell from info given.
Answer:
A and B or the first two
Step-by-step explanation:
what she saying is true so that means that it is A and B
Please help I will give brainliest
Answers
The area of Brian's cake's top = base x height
= 13 x 9
= 117 square inches
Area of Nancy's cake's top = [tex]\frac{1}{2\\}[/tex] x base x height
= [tex]\frac{1}{2}[/tex] x 15 x 12
= 6 x 15
= 90 square inches
Therefore, Brian's cake's top has a greater area than Nancy's.
Answer:
Brian's parallelogram-shaped cake top had the greater area. It was 27 in² greater than Nancy's cake top.
Step-by-step explanation:
To find the area of a parallelogram, use the formula A = b × h, where A is the area, b is the base and h is the height. Substitute the base and height into the equation.
A = 13 × 9
Then work out the equation to get:
117 = 13 × 9
This means that Brian's cake top has an area of 117 in².
Next, find the area of a triangle using the formula A = [tex]\frac{bh}{2}[/tex], where A is the area, b is the base, and h is the height. Substitute the base and height into the equation.
A = [tex]\frac{15*12}{2}[/tex]
The * symbol means the same as multiply.
Then work out the equation to get:
180 = [tex]\frac{15*12}{2}[/tex]
This means that Nancy's cake top has an area of 90 in².
We can see that Brian's cake top has a greater area than Nancy's already, but to find out how much greater, just subtract 90 from 117:
117 - 90 = 27
Hence, Brian's cake top has a greater area of 27 in².
Solve for t
T+20.04=14.3
Answers
Answer:
T= -5.74
Step-by-step explanation:
The area of each of the bases will be m2.
The area of the right and left lateral faces will be m2.
The area of the front and back lateral faces will be m2.
The lateral area of the prism will be m2.
The surface area of the prism is 22 m2.
Answers
Answer:
The area of each of the bases will be m2 answer; (1)(3)=3
The area of the right and left lateral faces will be m2. answer; (1)(2)=2
The area of the front and back lateral faces will be m2. answer; (2)(3)=6
The lateral area of the prism will be m2. answer ; 16
Step-by-step explanation:
Area of each bases = 3 m²
Area of the right and left lateral faces = 2 m²
Area of the front and back lateral faces = 6 m²
Lateral area = 16 m²
Surface area of the rectangular prism = 22 m²
What is the lateral Area of a Rectangular Prism?Lateral area = 2(l + w)h
What is the Surface Area of a Rectangular Prism?Surfacea area = 2(wl+hl+hw)
We are given a rectangular prism that has the following dimensions:
Length (l) = 1 m
Width (w) = 3 m
Height (h) = 2 m
Area of each bases = l × w = 1 × 3 = 3 m²
Area of the right and left lateral faces = 1 × 2 = 2 m²
Area of the front and back lateral faces = 2 × 3 = 6 m²
Lateral area of the rectangular prism = 2(l + w)h = 2(1 + 3)2 = 16 m²
Surface area of the rectangular prism = 2(wl+hl+hw) = 2(3 × 1 + 2 × 1 + 2 × 3) = 22 m²
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I need help with 27 and 28 show step and round to nearest tenth
Answers
Answer:
#27: 56 ft squared #28: 32.85 ft squared
Step-by-step explanation:
Hope this helped! Please rate it if this helped!
What is the radius of this circle?
A)
1.5 cm
B)
3 cm
C)
3.14 cm
D)
6 cm
Answers
Answer:B
Step-by-step explanation:
Answer:
3cm
Step-by-step explanation:
Diameter (2r)= 6cm.
Radius, r= 6/2 = 3 cm
Priya is making flyers for a school play. She needs to make 150 flyers total. She has already made 40 flyers. How many more flyers does Priya have left to make?
Answers
Answer:
110
Step-by-step explanation:
subtract 40 from 150
Answer:
Step-by-step explanation: So She already 40 out of 150
flyers made. So subtract 150 minus 40 and you get 110. So the answer is 110 flyers she has left to make
WILL MARK BRAINLIEST! LOTS OF POINTS!
Answers
See the attached picture.
Louie is building a scale model of an airplane, using a scale of 2 inches =
25 feet. If the airplane is 155 feet long, what is the length of the model?
Answers
Answer:
The length of the model is 12.4.
Step-by-step explanation:
2in=25ft
x=155ft
155/25=6.2
2*6.2=12.4
Mr. Thomas cooked 45 hamburgers and hot dogs at a cookout. He cooked three
fewer than twice as many hot dogs as hamburgers. How many hamburgers and
hot dogs were cooked?
Answers
Answer:
There are 90 hamburgers and 87 hot dogs
Step-by-step explanation:
Solve this question: Can you make 100 by interspersing any number of pluses and minuses within the string of digits 9 8 7 6 5 4 3 2 1? You can’t change the order of the digits! So what’s the least number of pluses and minuses needed to make 100? For instance, 98 - 7 - 6 + 54 - 32 shows one way of interspersing pluses and minuses, but since it equals 107, it’s not a solution.
Answers
Answer:
98-76+54+3+21=100
1 Plus3 MinusesStep-by-step explanation:
Possible Variants are:
[tex]98 - 76 + 54 + 3 + 21 = 100\\9 - 8 + 76 + 54 - 32 + 1 = 100\\98 + 7 + 6 - 5 - 4 - 3 + 2 - 1 = 100\\98 - 7 - 6 - 5 - 4 + 3 + 21 = 100\\9 - 8 + 76 - 5 + 4 + 3 + 21 = 100\\98 - 7 + 6 + 5 + 4 - 3 - 2 - 1 = 100\\98 + 7 - 6 + 5 - 4 + 3 - 2 - 1 = 100[/tex]
[tex]98 + 7 - 6 + 5 - 4 - 3 + 2 + 1 = 100\\98 - 7 + 6 + 5 - 4 + 3 - 2 + 1 = 100\\98 - 7 + 6 - 5 + 4 + 3 + 2 - 1 = 100\\98 + 7 - 6 - 5 + 4 + 3 - 2 + 1 = 100\\98 - 7 - 6 + 5 + 4 + 3 + 2 + 1 = 100\\9 + 8 + 76 + 5 + 4 - 3 + 2 - 1 = 100\\9 + 8 + 76 + 5 - 4 + 3 + 2 + 1 = 100\\9 - 8 + 7 + 65 - 4 + 32 - 1 = 100\\[/tex]
From:
98-76+54+3+21=100
The least number of plus and minuses needed to make 100 are 1 and 3 respectively.
The least number of pluses and minuses needed to arrange the numbers 9 8 7 6 5 4 3 2 1 to equal 100 is four. A valid combination resulting in 100 is 98 - 7 + 65 + 43 - 21 which uses two minuses and two pluses.
Explanation:Your question asks how many pluses and minuses can be inserted in the string 9 8 7 6 5 4 3 2 1 without altering its order to make 100. An interesting mathematical challenge problem indeed!
Remember, this question pertains to arithmetic operations of addition (+) and subtraction (-). A possible solution can be 98 - 7 + 65 + 43 - 21. This results in 100 with four total operations interspersed (two minuses and two pluses).
By using the arithmetic operations strategically, the least number of pluses and minuses (total four) you need to yield 100 is produced. Hence, this combination of digits and operators achieve the intended sum balancing positive and negative values.
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What are the solutions to the quadratics equation 2x+ + 6x – 20 = 1
Answers
The seven students in a sewing
class equally share the cost of
fabric and other supplies. Last
month, each student paid ($167.94
+ $21.41) / 7. This month, each
student paid ($77.23 + $ 6.49) / 7.
Without doing any calculations, in
which month did each student pay
more?
Answers
Answer:
Last month
Step-by-step explanation:
Just look at the numbers.
The first number is (167.94 + 21.41) / 7 and the second number is (77.23 + 6.49) / 7. We see that they both have the denominator of 7, so we can just focus on comparing the numerators.
Look at 167.94 + 21.41. Clearly, 167.94 is bigger than 77.23 from the second number. We also see that 21.41 is clearly bigger than 6.49. If both numbers of the first number are bigger than both numbers from the second number, we know that the sum of the first two numbers will be bigger than the second sum.
Thus, the bigger the numerator, the bigger the amount paid, even including the dividing 7 at the end.
Thus, last month, the students had to pay more.
Hope this helps!
Answer:
Last
Step-by-step explanation:
Values being added are greater in last month as compared to this month
Which equation is equivalent to f(x) = -3(x-2)2 + 14?
Answers
The given function f(x) = -3(x-2)^2 + 14 is a quadratic equation shown in vertex form. To find an equivalent equation in standard form or solve for its roots, one can expand and simplify or use the quadratic formula with the appropriate coefficients.
The equation f(x) = -3(x-2)^2 + 14 is a quadratic equation in vertex form. In standard form, a quadratic equation is represented as at^2 + bt + c = 0. To express f(x) in this standard form, we simply need to expand the squared term and simplify. The given equation already shows that the parabola has been reflected vertically due to the negative sign before the coefficient of the squared term, and it is shifted 2 units to the right and 14 units up from the origin.
Transformations of the independent variable such as multiplying by a constant or adding a number, like in f(2x) or f(-2x), will affect the graph of the quadratic function. They result in horizontal scaling or reflection, while transformations like f{-2(x+1)} involve horizontal shifting.
To solve a quadratic equation that is set equal to zero, we can use the quadratic formula, which employs the coefficients a, b, and c. As an example, for a quadratic equation with constants a = 4.90, b = 14.3, and c = -20.0, the roots can be found through this formula.
Find 20% of 40. A. 8 B. 2 C. 0.5
Answers
Answer:
A)8
Step-by-step explanation:
10 percentage is 4 (to get this you have to do 40/10)
so 20 percentage is 8 (4*2)
Answer: 8
Multiply 20%×40 and get 8
Simplify the expression.
If you have a box of marbles with 3 red, 2 yellow, 2 blue and 3 purple marbles and you will randomly pick a marble from the box, what is the probability of NOT picking a purple marble?
Answers
Answer:
7 over 10
Step-by-step explanation:
add up the marbles then subtract the purple marbles and put it over ten and you get 7/10
Find the unknown side of the triangle below
A. 4cm
B. 3cm
C. 9cm
D. 19cm
Answers
Answer:
C - 9 cm
Step-by-step explanation:
We can use the Pythagorean theorem to figure out the missing side length, in this case, X.
The Pythagorean theorem states: a^2 + b^2 = c^2, with c being the hypotenuse. We have the side length of the hypotenuse which is 15, and we have another side length of 12. Let's put these back in our equation:
a^2 + 12^2 = 15^2;
If we simplify the squares by simply doing them: a^2 + 144 = 225;
Now let's subtract 144 from both sides to isolate the variable, a:
a^2 = 81;
Now we square both sides to find a:
a = 9
The missing side length is 9 cm.
Carlitos rents a limousine for the night. The limo costs $625 and $0.15 for each mile driven
If Carlitos has a budget of $600 for the limo rental, what is the largest number of miles the
limousine can travel?
Answers
Answer: 40 miles
Step-by-step explanation:
Divide 600 by 15 and you get 14
Answer:
4 miles
Step-by-step explanation:
0.15 divided by 600 is 4000 miles.
(don't count the limo cost, just count the mile driven)
1. How much greater is -20x^2+5x+17 than -19x^2+20x+18
Answer: ?^2-15x-1
2. How much greater is -20x^7+10x^6-5x+15 than 13x^7+14x^5-4x^4-11x^2-17
Please help me 30 points. iMathmatics works, but my parents took my phone and its an app and i'm using a computer at the moment...
Answers
Answer:
1. -x²-15x-1
2. -33x⁷+10x⁶-14x⁵+4x⁴+11x²-5x+32
Step-by-step explanation:
-20x^2+5x+17 - (-19x^2+20x+18)
-20x² + 19x² + 5x - 20x + 17 - 18
-x² - 15x - 1
-20x^7+10x^6-5x+15 - (13x^7+14x^5-4x^4-11x^2-17)
-20x⁷ - 13x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 15 + 17
-33x⁷ + 10x⁶ - 14x⁵ + 4x⁴ + 11x² - 5x + 32
Answer:
1. -x^2 - 15x - 1
2. -33x^7 + 10x^6 - 14x^5 + 4x^4 + 11x^2 - 5x + 32
Step-by-step explanation:
Problem 1.
How much greater is -20x^2 + 5x + 17 than -19x^2 + 20x + 18
Problem 1. Solution:
Subtract the second polynomial from the first polynomial.
-20x^2 + 5x + 17 - (-19x^2 + 20x + 18) =
To simplify the parentheses, think of the negative sign left of the parentheses as the number -1, and distribute it using the distributive property.
= -20x^2 + 5x + 17 -1(-19x^2 + 20x + 18)
We multiply -1 by each term in the parentheses.
= -20x^2 + 5x + 17 + 19x^2 - 20x - 18
Now we combine like terms. First, group each set of like terms together.
= -20x^2 + 19x^2 + 5x - 20x + 17 - 18
Now combine like terms.
= -x^2 - 15x - 1
Answer to Problem 1.: -x^2 - 15x - 1
Problem 2.
How much greater is -20x^7 + 10x^6 - 5x + 15 than 13x^7 + 14x^5 -4x^4 -11x^2 - 17
Problem 2. Solution:
Subtract the second polynomial from the first polynomial.
-20x^7 + 10x^6 - 5x + 15 - (13x^7 + 14x^5 - 4x^4 - 11x^2 - 17) =
To simplify the parentheses, think of the negative sign left of the parentheses as the number -1, and distribute it using the distributive property.
= -20x^7 + 10x^6 - 5x + 15 -1(13x^7 + 14x^5 - 4x^4 - 11x^2 - 17)
We multiply -1 by each term in the parentheses.
= -20x^7 + 10x^6 - 5x + 15 - 13x^7 - 14x^5 + 4x^4 + 11x^2 + 17
Now we combine like terms. First, group each set of like terms together.
= -20x^7 - 13x^7 + 10x^6 - 14x^5 + 4x^4 + 11x^2 - 5x + 15 + 17
Now combine like terms.
= -33x^7 + 10x^6 - 14x^5 + 4x^4 + 11x^2 - 5x + 32
Answer to Problem 2.: -33x^7 + 10x^6 - 14x^5 + 4x^4 + 11x^2 - 5x + 32
i need help with these three questions someone help me please what are these shapes called
Answers
Answer:
The first shape is called (I don't know)
The second shape is called Icosahedron
The thrid shape is called Octahedron
Step-by-step explanation:
Factor completely.
-5x2y + 10xy - 15xy2
Answers
Answer:
5xy*(3y+2)
Step-by-step explanation:
(1): "y2" was replaced by "y^2".
Step by step solution :
Step 1 :
Equation at the end of step 1 :
10xy + (3•5xy2)
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
15xy2 + 10xy = 5xy • (3y + 2)
Final result :
5xy • (3y + 2)
Answer:
−5xy(x+3y−2)
Step-by-step explanation:
Factor
−5xy out of −5x2y+10xy−15xy2.
Can someone please help me
Answers
Answer:
with what
Step-by-step explanation:
tell me i think i can help
Choose the correct simplification of 9x2(4x + 2x2 − 1).
Answers
Answer:
72X + 54
Step-by-step explanation:
Answer: The answer is, 18x4 + 36x3 − 9x2
Adelina started painting at 2:32. She finished before 3:00. Use digital form to write a time she could
have finished painting
She could have finished painting at
Answers
Answer:
2:35
2:47
2:53 etc
Step-by-step explanation:
Since she started or commenced painting at exactly 2:32 and finished painting before 3:00 ,
She could have finished painting 3 minutes later which is 2:35
She could have finished painting 15 minutes later ,which is 2:47
She could have finished painting 21 minutes later which is 2:53 etc
Just make sure you don't write anything that exceeds 3:00 which is about 28 minutes from the time she commenced painting.
hurry plzzzzz!!!!!!!!!!!!! Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet. A:5 feet B:9 feet C:25 feet D:45 feet
Answers
Answer:
B
Step-by-step explanation:
The volume of a square pyramid can be found using:
v=1/3 bh
Where b is the area of the base, and h is the height
First, let's find the area of the base
a=l*l
We know the length is 5, so we can substitute it in
a=5*5
a=25
Now we know b(area), is 25, and we know the volume is 75, so we can substitute them in
v=1/3 bh
75=1/3(25)h
Divide both sides by 1/3, or multiply both sides by the reciprocal, 3/1
225=25h
Divide both sides by 25
h=9
So, the height is 9 feet , or choice B
The more you take, the more you leave behind. What am I?
brainliest for right answer
Answers
Answer:
Footsteps
Step-by-step explanation:
Answer:
Footsteps.
Step-by-step explanation:
You walk more and more and eventually those footsteps from previous are left behind.
(My dad told me this as a moral lesson when I was young.)
P.S
Have a Amazing Day!
Faker/Tosrel