Answers
Answer:
D
Step-by-step explanation:
Note that I will be using a, b, and y instead of their Greek counterparts.
First, we know that sin(c+d) = sin(c)cos(d) + cos(d)sin(a) and sin(c-d) = sin(c)cos(d) - cos(d)sin(a). We can apply these here to get
sin(b+y) = sin(b)cos(y) + cos(b)sin(y)
sin(b-y) = sin(b)cos(y) - cos(b)sin(y)
sin(a+y) = sin(a)cos(y) + cos(a)sin(y)
sin(a-y) = sin(a)cos(y) - cos(a)sin(y)
Plugging these into our equation, we get
(sin(b)cos(y) + cos(b)sin(y) - (sin(b)cos(y) - cos(b)sin(y)))
/
(sin(a)cos(y) + cos(a)sin(y)-(sin(a)cos(y) - cos(a)sin(y)))
=
2cos(b)sin(y) / 2cos(a)sin(y)
= cos(b)sin(y)/cos(a)sin(y)
= cos(b)/cos(a)
Next, we can see that a+b = π, so we can subtract b from both sides to get a = π -b. Plugging that in for a in our equation, we get
cos(b) / cos(π-b)
After that, we know that cos(c-d) = cos(c)cos(d) - sin(c)sin(d). Plugging that in here, we get
cos(π-b) = cos(π)cos(b) - sin(π)sin(b)
= -cos(b) + 0
= -cos(b)
Plugging that back into our equation, we get
cos(b) / -cos(b) = -1
Related Questions
What is the largest number that has the factors of 3, 4 and 5 between 57 and 250?
Answers
I think the answer is 240
2x = 5x - 10 is equivalent to -3x = -10.
True or false
Answers
Answer:
True
Step-by-step explanation:
2x = 5x - 10
Subtract 5x from each side
2x-5x = 5x-10-5x
-3x = -10
Answer:
True
Step-by-step explanation:
Given
2x = 5x - 10 ( subtract 5x from both sides )
- 3x = - 10 ← equivalent → True
Greatest Common Factor
1. 18 and 54
2. 36 and 54
Least Common Multiple
1. 6 and 8
2. 12 and 18
Answers
Answer:
GCF
1.18
2.18
LCM
1.24
2. 36
GCF
1. 9
2. 9
LCM
1. 24
2. 36
name all sets of number for -15
Answers
Answer:
all negative number to -15
ntroduction to Functions
Assignment Active
Creating a Function from a Mapping
The mapping shows a relationship between input and
output values.
Input
Output
Which ordered pair could be removed to make this
relation a function?
O (-5,0)
0 (-1, -3)
O (4, -2)
O (6,-1)
Answers
Answer:
To be a function, each input must only have one output. In this case, input 4 has two outputs, so (4 , -2) can be removed for it to be a function.
Let me know if you have any other questions!
The ordered pair (4,2) could be removed to make the given relation a function.
What is the relation?A relation is a function if for every input (x-value) there is exactly one output (y-value).
If there are two or more ordered pairs with the same x-value but different y-values, then the relation is not a function. In this case, one of those ordered pairs would need to be removed in order to make it a function.
As per the question, the relation was given as {(-5,0), (2, -3), (-1, -3), (4, -2), (4, -2), (6,-1)}, the ordered pair (4,-2) would need to be removed because there are two outputs (-2 and 2) for the input of 4.
Thus, removing (4,2) would result in the function.
Learn more about the relations here:
https://brainly.com/question/29207494
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Directions: Divide the array in 2 smaller facts to help you fill in the
missing numbers to find the product.
3.
XXXXXXXX
ХХХХХХХХ
ХХХХХХХХ
ХХХХХХХХ
XXX ХХХХ
XXX
XXX
7х8
(x)+(x)
7х8 =
Answers
Answer: The answer is 56
explanation: 7*8 is the same as 8+8+8+8+8+8+8 or 7+7+7+7+7+7+7+7 and if you do the math it equals 56
Can someone plz tell me What is 98% of 85
Answers
Answer: 83.3
Step-by-step explanation:
0.98 x 85 =83.3
Answer: 83.3 hope this helps.
Answer always, sometimes, or never.
Answers
Answer:
always
never
always
always
A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?
Answers
Answer:
1,000
Step-by-step explanation:
First, there are 10,000 cents in $100.
So divide 10,000 by 10. (because 1 pencil is 10 cents)
1,000.
I hope this helps!
pls ❤ and mark brainliest pls
Please help me to solve this problem of ordered pairs. The value of x and y should be find.
Answers
Answer:
x=y=-2
Step-by-step explanation:
Comparing these ordered pairs, we will get
4^(1/x)=1/2 and 9^(1/y)=1/3
x=-2 and y=-2
Answer:
x = y = - 2
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Given
[tex]\sqrt[x]{4}[/tex] = [tex]\frac{1}{2}[/tex] , then
[tex]\sqrt[x]{2^{2} }[/tex] = [tex]\frac{1}{2}[/tex]
[tex]2^{\frac{2}{x} }[/tex] = [tex]2^{-1}[/tex]
Since the bases on both sides are equal, both 2 , then equate exponents
[tex]\frac{2}{x}[/tex] = - 1 ( multiply both sides by x )
2 = - x , that is
x = - 2
Similarly
[tex]\sqrt[y]{9}[/tex] = [tex]\frac{1}{3}[/tex] , then
[tex]\sqrt[y]{3^{2} }[/tex] = [tex]\frac{1}{3}[/tex]
[tex]3^{\frac{2}{y} }[/tex] = [tex]3^{-1}[/tex]
Equating the exponents gives
[tex]\frac{2}{y}[/tex] = - 1 ⇒ - y = 2 ⇒ y = - 2
19 cm
Nomkhosi wants to start a vegetable garden. The garden will have a
rectangular shape, and will be 8 m long and 3 m wide. She wants to
put a fence around the garden. On each corner a metal post must be
planted, and along the sides, a thin metal post (a “dropper") must be
inserted every metre. Two posts, similar to the corner posts, must be
planted 1 m apart along one length to allow for a gate. Two horizontal
steel wires will be stretched around the camp, except at the gate.
Chicken wire fencing is to be attached to these two wires.
im
8m + 7m
5m
7 cm
B
f the triangles shown.
horig smal
Lh
1 = 1/2 x 6 x 2h
1m
Triangle B: Area =
- x 19 cm x 7 cm
= 66,5 cm
4) 3 m+ 3m
1 m
3 m
6m
1m
Ichicken-
A
Gate
Corner
post
horizontal
Dropper
Ollowing shapes (to 1 decimal place
1 How many corner posts and gate posts are needed? 6
2 How many droppers are needed?
3 What length of (horizontal) wire is needed?
4 What length of chicken wire fencing is needed?
5 Calculate the cost of the
Answers
Answer:
x+5=10 so yeab a dar sopa q no quiere applr a dar algo
Which is the angle of depression from b to c
1.)<2
2.) <3
3.) <1
4.)<4
Answers
<2
Step-by-step explanation:
that the answer. because it below par
Please help me solve this question!
Answers
I need help on #17 can someone please help me?
Answers
Answer:
t=2
Step-by-step explanation:
We are given the equation
h = -16t²+36t+1
Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).
Therefore, as 9 is the height, we can plug that into our equation to get
9 = -16t²+36t+1
To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get
-16t²+36t-8=0
To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation
-16t²+32t+4t-8=0
-16t(t-2) + 4(t-2) = 0
(-16t+4)(t-2) = 0
Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0
t-2 = 0
t=2
-16t+4 = 0
-16t = -4
t = 1/4
Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down
2.2.4.4.4=
plzz help
Answers
Answer:
what is this question ??
This answer will also same 2.2.4.4.4=2.2.4.4.4
Please show your work
[tex]1\frac{2}{3} + 2\frac{3}{4}[/tex]
Answers
Answer:
[tex]→1 \frac{2}{3} + 2 \frac{3}{4} \\ = \frac{5}{3} + \frac{11}{4} \\ = \frac{20 + 33}{12} \\ = \frac{53}{12}\\ =\boxed{4\frac{5}{12}}✓[/tex]
53/12 is the right answer.Steps:
1 2/3 + 2 3/4 can also be written as...
5/3 + 11/4
The LCD is 12 so we make both fractions have a denominator of 12.
That gives us 20/12+33/12
Now you can add the numerators (but leave the denominator the same)
That gives us 53/12, but our simplified version would give us 4 5/12 as our final answer.
Answer:
[tex]4\frac{5}{12\\}[/tex]
Please mark brainliest if that helps!
Whoever can answer this question gets 100 Points!!!!!!!
question: What is 2 + 2 - 1
Answers
Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Simplify x + (7+14x)
Answers
Answer:
15x + 7
Step-by-step explanation:
x + (7 + 14x)
x + 7 + 14x
15x + 7
Answer:
15x + 7
Step-by-step explanation:
Remove parenthesis:
x + 7 + 14x
Combine like terms:
14x + x = 15x
Add the seven:
15x + 7
Hope this helped.
The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?
The range is the same for both functions: {y | y is a real number}.
The range is the same for both functions: {y | y > 0}.
The range changes from {y | y > 0} to {y | y > 2}.
The range changes from {y | y > 0} to {y | y > 6}.
Answers
The range is the same for both functions: {y | y is a real number}.
Translation and range of a functionGiven the parent function expressed as f(x) = |x|. If the function is translated 6 units to the right and 2 units up to form a new function, the resulting function will be;
g(x) = |x + 6| + 2
The range is the value of the dependent variable for which it exist. For the given function, the range will exist on all real numbers.
Learn more on range of a function here: https://brainly.com/question/1466393
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Divide. Write your answer as a fraction in simplest form. −2 4/5÷(−7)=
Answers
Answer:
.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.
.
.
2/5
Answer:
[tex] \frac{2}{5} [/tex]
Step-by-step explanation:
[tex] - 2\frac{4}{5} \div ( - 7)[/tex]
[tex] = \frac{2 \times 5 + 4}{5} [/tex]
[tex] = \frac{10 + 4}{5} [/tex]
[tex] = \frac{14}{5} [/tex]
[tex] = - \frac{14}{5} \times 7[/tex]
[tex] = \frac{14}{5} \div 7[/tex]
[tex] = \frac{2}{5} [/tex]
PLEASE HELP ill give you 45 points and mark brainliest if it’s correct
Answers
Answer:
The answers are below,...
Step-by-step explanation:
1. LN = 37
2. NM = 23
3. x = 4
4. EF = 58 / x = 16
5.
6.
7.
8.
Moreover explanation:
Okay so with 5-8 I was unable to figure out the answer,... I guess I shouldn't be answering your questions if I have to figure them out as well. lol,... I did however try (I've been working on just 5-6 for the last hour or so) so I guess brownie points for me for that,... so sorry I couldn't help completely though,... I asked my older brother how to solve them and he is going to get back to me on them (he also has a schedule to keep) I'll hopefully get back to you soon so stay tuned (or not cause hopefully someone else has already answered them) again, so sorry. and the best of luck to you! later!
Write the equation of the sinusoidal function shown?
A) y = cos x + 2
B) y = cos(3x) + 2
C) y = sin x + 2
D) y = sin(3x) + 2
Answers
Answer:
günah(3x) + 2
Step-by-step explanation:
Gösterilen sinüzoidal fonksiyonun denklemini yazınız? A) y = cos x + 2 B) y = cos(3x) + 2 C) y = günah x + 2 D) y =
Answer:
y = sin(3x) + 2
ans of this
fast to get 10 pts
Answers
Answer:
2.equivalent sets is answer.What are 3 expressions equivalent to 4x-2
Answers
Answer:
1 2x-4,x-42,2-4x I hope it will help you please follow me
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answers
Answer:
Option A, 168 km³
Step-by-step explanation:
Volume of the rectangular prism,
7×4×6
= 168
4. Find the height, x, of the building
Urgent please help
Answers
Answer:
D
Step-by-step explanation:
The function you need to use is the Tan(39).
Tan(x) = opposite / adjacent.
The opposite side does not make up the reference angle.
In this case, the opposite side = x
The adjacent side is not the hypotenuse and does make up the reference angle (which is not the right angle).
opposite = x
adjacent = 68
Tan(39) = x / 68 Multiply by 68
68*Tan(39) = x Divide by Tan(39)
Tan(39) = 0.9098
68*.9098 = x
x = 55.07
Select the correct answer.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
ОА
The equation that represents this situation is x-3 = 21. The second number is 24.
ОВ.
The equation that represents this situation is 3x = 21. The second number is 7.
Ос.
The equation that represents this situation is -3x = 21. The second number is -7.
OD.
The equation that represents this situation is -3 + x = 21. The second number is 18.
Answers
nOSE
D
AS
DA
DAS
DA
SD
ADA
SD
Answer:
Oc
Step-by-step explanation:
Oc because product means multiplication and there is a negative sign
A florist has 18 daisies and 45 carnations. She wants to use all the flowers to create a bouquet to sell. What is the greatest number of bouquets she can make without having any left over?
Answers
A hamburger and a soda cost $1.45. Two hamburgers and one soda cost $2.50. What is the price of one soda?
$0.60
$0.40
$0.50
Answers
x+y=1.45
2x+y=2.5
Solve simultaneous equation for y
You will get 0.4
Answer:
$0.40
Step-by-step explanation:
let a hamburger be X and soda b y
then X + Y is equals to 1.45
2 X + Y is equals to 2.50
using elimination method we will fine the value of x
2 X + Y = 2.50
- X + Y= 1.45
X = 1.05
now how to find the value of Y
we know that X + Y = 1.45
putting the value of x
we get Y is equals to 1.45-1.05
$0.40
Please help me with this I need it
Answers
9514 1404 393
Answer:
2/3
Step-by-step explanation:
Let x represent the fraction of Cheryl's income she spent in September. Then 1-x is the fraction she saved.
In October, her spending increased by 0.2x, and her savings decreased by 0.4(1 -x). Since Cheryl spends or saves all of her income, these two change amounts must be equal:
0.2x = 0.4(1 -x)
x = 2(1 -x) . . . . . . multiply by 5 to clear fractions
x = 2 -2x . . . . . . eliminate parentheses
3x = 2 . . . . . . . . add 2x
x = 2/3 . . . . . . divide by 3
Cheryl spent 2/3 of her income in September.
