Answers
Answer: 1
Step-by-step explanation: sin M = m/n and cos K=m/n so (m/n)/(m/n)=1
In the triangle MNK the value of SinM/ cosK is 1.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is MNK.
The angle is 90 degrees at N.
We have formulas of trigonometric ratio
Sinθ=Opposite side/ hypotenuse
Cosθ=Adjacent side/ Hypotenuse
From the triangle MNK.
sinM = m/n and
cos K=m/n
so Sin M/ cosK= (m/n)/(m/n)
m/n×n/m
=1
Hence, in the triangle MNK the value of SinM/ cosK is 1.
To learn more on trigonometry click:
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Related Questions
CRM 3.1 - Lesson 6
Angle Relationships and Measures
Directions: Using the diagram provided, answer the questions below.
1. What is the relationship between m_1 and m23?
2. If mz1 = 120°, find m23
2.
3
3. What is the relationship between mzl and m24?
4. If m_4 = 65°, find m21
Using Angles Relationships to Solve Problems
Math
Answers
Answer:
How might an author's point of view be related to his or her purpose?
Step-by-step explanation:
The number of employees for a certain company has been decreasing each year by 5%. If the company currently has 900 employees and this rate continues find the number of employees in 17 years
Answers
Answer:
2062 employees
Step-by-step explanation:
Basically, you have an exponential function going on here. If you start with 900 employees and add 5 percent to the amount of employees (multiply by 1.005) seventeen times, you will get the equation [tex]E=900*1.05^{17}[/tex]. If we round down (because there can not be a fraction of an employee), there will be 2062 employees after 17 years.
A stone is thrown straight down from a tall building. The relation h = 150 - 5t - 5t^2
approximates its path, with h in metres and t in seconds.
a) How tall is the building?
b) Factor the right side of the equation fully.
c) When does the stone hit the ground?
Answers
Answer:
a) The building is 150 m tall
b) h(t)=-5(t+6)(t-5)
c) The stone hits the ground at 5 seconds.
Step-by-step explanation:
Function Models
The path of a stone thrown down from a tall building is modeled by the function:
[tex]h(t)=150-5t-5t^2[/tex]
Where h is the height in meters and t is the time in seconds after the stone is thrown.
a) To find the height of the building, we set t=0 because it's the moment when the stone is thrown and has the same height as the building:
[tex]h(0)=150-5*0-5*0^2[/tex]
[tex]h(0)=150[/tex]
The building is 150 m tall
b) The function is
[tex]h(t)=150-5t-5t^2[/tex]
Factoring out -5:
[tex]h(t)=-5(-30+t+t^2)[/tex]
Rearranging:
[tex]h(t)=-5(t^2+t-30)[/tex]
To factor the polynomial in parentheses, we must find two numbers whose product is -30 and sum is 1. We can also use the quadratic formula to find the roots and factor later.
These numbers are 6 and -5, thus the function is:
[tex]h(t)=-5(t+6)(t-5)[/tex]
c) The stone hits the ground when h=0:
[tex]-5(t+6)(t-5)=0[/tex]
The equation has two solutions:
t = -6
t = 5
The only feasible solution is t = 5, thus the stone hits the ground at 5 seconds.
Solve plzzzzzz i need help
3p-4=14
Answers
Answer:
p = 6
Step-by-step explanation:
3p - 4 = 14 / +4
3p = 18 / ÷ 3
p = 6
Can you please help me answer this picture
Answers
Hi and by
What would you do to solve the equation below x/2=15
Answers
Answer: x=30
Step-by-step explanation:
Multiply both sides of the equation by 2 to cancel out the divide by 2.
x=15×2=30
Answer:
x=30
Step-by-step explanation:
2*x/2=15*2
x=30
Mila buys 1112 pound of almonds and 56 pound of pecans.
Need this fast!
Which answer is the most accurate estimate for how many more pounds of almonds she buys than pounds of pecans?
A. 0 pounds
B. 12 pound
C. 1 pound
Answers
Answer:
B. 12 pounds
Step-by-step explanation:
All of them are off but if I had to choose an answer between those three I would choose B.
If you round 1112 to 1000 and 56 to 60, and do 1000 divided by 60 you get 16.6
Out of all the answers 12 pounds is closest to 16.
This is how I would answer it. Hope this helps!
which calculation be used to find the value of p in the equation p^3=8?
Answers
Answer:
2
Step-by-step explanation:
RECEIVE 50 POINTS FOR THIS!!!!!!!!!! EASY QUESTION
1- I have three times as many cats as Alice but Bob has 7 less cats than me. In total we have 56 cats. How many cats do I have?
Answers
Answer:
27
Step-by-step explanation:
PLZ HELP WILL DO ANYTHING
Answers
Answer:
Help me with my Physics lol
Look at the pic plsssssss
Answers
Answer:
I can't see it
Step-by-step explanation:
you should zoom in a little bit please
1
28:34
Which of the following is most likely missing from your financial plan if you are not prepared for an emergency?
a financing
b. a budget
c. investments
d. savings
Please select the best answer from the choices provided
Ο Α
ОВ
0 С
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
Step-by-step explanation:
investment
Solve 3(x - 7) = 33
Answers
Answer:
18
Step-by-step explanation:
you have to do the inverse so first you need to do 33/3=11 then because it says -7 you add 7 to 11 which is 18.
i hope this helps
The value of 'x' in the given linear equation is 4.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
Given liner equation is:
3(x - 7) = 33
⇒ 3x - 21 = 33
⇒ 3x = 33 - 21
⇒ 3x = 12
⇒ x = 4
Therefore, the value of 'x' is 4.
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This graph shows the costs of purchasing two types of flowers. Which statement is true? Flower A is less expensive than Flower B. Flower B is less expensive than Flower A. Flower A and Flower B cost about the same.
Answers
Answer:
b
Step-by-step explanation:
Answer:
The answer is B :)
Step-by-step explanation:
5. Solve this system of equations. 3x + 4y = 36 y = -x +8.
please help meee3333............
Answers
Answer:
x = -4 and y = 12
Step-by-step explanation:
Since you have y = -x + 8 you can substitute this into the first equation where y was so you have 3x + 4(-x + 8) = 36.
That way, there is only one variable and it is easier to solve.
3x + 4(-x + 8) = 36
3x -4x + 32 = 36
-x +32 = 36
-x = 4
x = -4
Plugging this into the equation y = -x +8,
y = -(-4) + 8
y = 4 + 8
y = 12
PLEASE HELP, I WILL GIVE BRAINLIEST AND 100 POINTS
Generate the first five terms of each sequence.
n^2
Answers
Answer:
a) [tex]f(n) = n^{2}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 4[/tex], [tex]f(3) = 9[/tex], [tex]f(4) = 16[/tex], [tex]f(5) = 25[/tex]
b) [tex]f(n) = n^{3}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 8[/tex], [tex]f(3) = 27[/tex], [tex]f(4) = 64[/tex], [tex]f(5) = 125[/tex]
c) [tex]f(n) = n^{2}+n^{3}[/tex]
[tex]f(1) = 2[/tex], [tex]f(2) = 12[/tex], [tex]f(3) = 36[/tex], [tex]f(4) = 80[/tex], [tex]f(5) = 150[/tex]
Step-by-step explanation:
This formulas uses only natural numbers, which means that [tex]n \ge 1[/tex]. Then, we evaluate each function at 1, 2, 3, 4 and 5:
a) [tex]f(n) = n^{2}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 4[/tex], [tex]f(3) = 9[/tex], [tex]f(4) = 16[/tex], [tex]f(5) = 25[/tex]
b) [tex]f(n) = n^{3}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 8[/tex], [tex]f(3) = 27[/tex], [tex]f(4) = 64[/tex], [tex]f(5) = 125[/tex]
c) [tex]f(n) = n^{2}+n^{3}[/tex]
In which each element is the sum of respective results found in a) and b).
[tex]f(1) = 2[/tex], [tex]f(2) = 12[/tex], [tex]f(3) = 36[/tex], [tex]f(4) = 80[/tex], [tex]f(5) = 150[/tex]
Write a verbal sentence then solve the equation. The quotient of X and 6 is 8.7
Answers
Answer
6/x = 8.7
Step-by-step explanation:
let x = a number that we will find out
6/x = 8.7 (determinethe defined range)
6/8 = 8.7, x = 0 (multiply both sides)
6 = 8.7x (swap sides)
8.7 x = 6 (divide both sides)
x = 20/29
check
x = 20/29, x = 0
OR x = 0.689655
NEED HELP IM GIVIN BRAINLIEST
Jackson spent 2 of his total money on an antique game. He has $12.50 left. 3
If there was no tax added to the cost, how much did Jackson spend on the
antique game? (Keep in mind that he has 1 of his money left)
Answers
Answer:
$37.50
Step-by-step explanation:
1 money = 12.50
Before spending anything he had 2 money more than this (3 overall)
Therefore we are multiplying-
12.50 x 3 = 37.50
The answer is $37.50
Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.
Answers
Answer:
x = 7
y = 2
Step-by-step explanation:
x² - y² = 45
(x+y) (x-y) = 45
x + y = 9 (known)
9 x (x-y) = 45
x - y = 5
y = x-5
x + (x - 5) = 9 (substitute)
2x = 14
x = 7
y = 2
10 - 5(x - 1) what is the answer to this ?
Answers
Answer:
15 - 5x
Step-by-step explanation:
10 - 5(x - 1)
Multiply 5 by x and 1 using the distributive property.
10 - 5x + 5
Add like units. 10 + 5 = 15
15 - 5x is your final answer.
Please helppppp my assignment is missing and I need to get it done. pleaseeeeeee
Answers
Answer:
B.
Step-by-step explanation:
perpendicular lines are the reciprocal and opposite of the slopes. the opposite and reciprocal of -4/5 is 5/4. B is the only one with that slope.
12y/5b • 15ab/4y2
Simplify
Answers
Answer:
D is the answer
Step-by-step explanation:
Directions: Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
In class, pairs of students were given numbers to work with. In each pair, one student found the greatest common factor and the
other student found the least common multiple.
Jess and Nate were given the numbers 8 and 12.
• Jess found that the greatest common factor is 4.
• Nate found that the least common multiple is 48.
One of these students made a mistake.
Which student made a mistake?
What number should the student have found instead?
Answers
Answer:
Nate made a mistake. The LCM is actually 24.
Step-by-step explanation:
So, Jess found the GCF of 8 and 12 is 4. Let's make sure first.
Method 1: List the factors of 8 and 12.
8: 1, 2, 4, 8
12: 1, 2, 3, 4, 6, 12
Method 2: Or find the prime factorization of 8 and 12
8: 2 * 2 * 2
12: 2 * 2 * 3
Both 8 and 12 share 2 2's.
Multiply 2 by 2 to get 4 as the GCF
4 is the greatest factor 8 and 12 share, so Jess is correct.
Nate found the LCM of 8 and 12 is 48. Let's make sure that's correct.
Method 1: List the multiples of 8 and 12.
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144
24 is the smallest number 8 and 12 have in common.
Method 2: Union of Primes
8: 2 * 2 * 2
12 : 2 * 2 * 3
Create a union of these primes.
Union: 2 * 2 * 2 * 3
4 * 2 * 3
8 * 3
24 = LCM
The LCM of 8 and 12 is 24, not 48, so Nate is incorrect. Thus, Nate made the mistake.
9.
Brian says that ABCD is a right triangle. Is he correct? Explain.
B
17 m
13.5 m
21.7 m
Answers
Answer:
sorry but can u give me full question
Step-by-step explanation:
like picture
Express the ratio 3:9 in its simplest form.
Answers
Answer:
1:3 I think
Step-by-step explanation:
3/3=1
9/3=3
Answer:
3/9 = 1/3
Step-by-step explanation:
simplifying
which number will make the fractions equal? 3/10 = 30/?
A) 1
B) 10
C) 100
D) 1000
Answers
Answer:
c) 100
Step-by-step explanation:
30/100 would be adding two zeroS, and even if that’s wrong when you multiply both by 10 it will be 30/100 so your anwser is
C, 100.
Help please due in 5 minutes
Answers
Answer:
a
Step-by-step explanation:
Answer:
It b.
Step-by-step explanation:
You can use demos for this (graphing calculator. :)
Hi can someone please help me on my homework
Answers
Answer:
8. yes, ASA
9. yes, SAS
10. yes, AAS
11. no
12. no
13. yes, SSS
Step-by-step explanation:
Solve each system of equations using substitution
Answers
I did the first question as reference. Pretty simple once you get it!
math is hard help pls
Answers
Answer:
60% Hope this helped! :)
Step-by-step explanation: