Write expression as a sine or cosine of an angle.
cos 94° cos 18° + sin 94° sin 18°
Answers
=========================================================
Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
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We can verify this by use of a calculator. Make sure your calculator is in degree mode.
cos(94)cos(18) + sin(94)sin(18) = 0.24192cos(76) = 0.24192Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
Related Questions
Four people wanted to cross the river. There is only one boat available, and it can carry a maximum of
200 pounds. The weights of the four people are 190, 170, 110, and 90 pounds. How can they all
manage to get across the river, and what is the minimum number of crossings required for the boat?
Answers
Answer:
3 Trips/crossings
Step-by-step explanation:
190 Pounder Person goes by themselves, 170 goes by themselves, and 110 and 90 pounds go together.
(a3 - b3 - 3ab) - (a3 + b3 - 3ab) Is equal to____
Answers
Answer:
[tex] - 2 {b}^{3} [/tex]
Step-by-step explanation:
[tex]a^3−b^3−3ab−(a^3+b^3−3ab)[/tex]
[tex]=(a^3)+(−a^3)+(−b^3)+(−b^3)+(−3ab)+(3ab)[/tex]
[tex]= - 2 {b}^{3} [/tex]
Hope it is helpful....Simplify each expression
1. 2x + (x - 4) + (2y - 5)
2. 3(x - 2) + 4(x + 3)
Answers
Answer:
1. 3x-9+2y
2. 7x+6
Step-by-step explanation:
1. 2x + (x - 4) + (2y - 5)
2x+x-4+2y-5
3x-9+2y
2. 3(x - 2) + 4(x + 3)
3x+4x-6+12
7x+6
Answer:
1. 3x - 9 + 2y 2. 7x + 6
Step-by-step explanation:
1.
2x + (x - 4) + (2y - 5) =
3x - 9 + 2y
2.
3(x - 2) + 4(x + 3) =
3x - 6 + 4x + 12 =
7x + 6
Find the distance between the points (-4,-1) and (4,1). Round to 2 decimals places
Answers
Answer:
length between is 8.54 units
Step-by-step explanation:
Formular:
[tex] { \bf{ = \sqrt{ {(x_{1} - x_{2}) }^{2} + {(y_{1} - y_{2}) }^{2} } }}[/tex]
x1 is -4
x2 is 4
y1 is 4
y2 is 1
[tex] = \sqrt{ {( - 4 - 4)}^{2} + {(4 - 1)}^{2} } \\ = \sqrt{64 + 9} \\ = \sqrt{73} \\ = 8.54 \: units[/tex]
Answer:
Distance = 8.25 units
Step-by-step explanation:
use the formula :
√ (x2 _ x1) + (y2 - y1)
where ,
x2 = 4
x1 = -4
y2 = 1
y1 = -1
E =mc^2 , solve for m
Answers
Answer:
[tex]e = m {c}^{2} \\ m = \frac{e}{ {c}^{2} } \\ thank \: you[/tex]
triangle ABC is congruent to triangle DBC
Answers
Yes it is
Triangle ABC is congruent to triangle DBC
Answer:
hi i am new in this app can u help
Step-by-step explanation:
hi miss can you help
50 m + 4 % please help
Answers
Answer:
52 meters
Step-by-step explanation:
each percent is 1, so 50m plus 4 percent equals 52
If value of a+b=7and ab=12then find the value of a and b
Answers
Answer:
a and b are 3 and 4
Step-by-step explanation:
To find the answer I go through all the two numbers that and multiply and gat 12:
1x12; 2x6; 3x4
And that add them:
1+12=13 x
2+6=8 x
3+4=7 this is the answer
Determine if the function is one-to-one. (2 points)
A decreasing line intercepting the y axis at 0, 6.
Yes
No
Answers
Answer:
yes
Step-by-step explanation:
Please mark me as brainlyest
help me please help pleaseeeeeeeeeeeee
Answers
Answer:
(8,3)
Step-by-step explanation:
Point c is seven units away from the line x = 1
So we move seven units to the right of the line x = 1
the x value = 8
y value = 3
Coordinates = (8,3)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Hello! Please help, thank you
Answers
Scott needs to mail a USB drive to a friend. He uses 41-cent stamps and 8-cent stamps to pay $1.87 in postage. How many of each stamp did scott use?
Answers
Answer:
4 41cent stamps would be $1.64/ 3- 8 cent stamps would be 23 cents/ $1.64 + 23= $1.87
Step-by-step explanation:
MATH GIVING OUT BRAINLY TO CORRECT ANSWER
Answers
Answer:
C
Step-by-step explanation:
Fractions cant be integers
A figure is transformed according to the rule (x,y) = (x-1, y + 4). What transformation has taken place?
A. Translation of each point 1 unit to the left and 4 units up.
B. Translation of each point 1 unit to the right and 4 units up.
C. Dilation by a scale factor of -1/4.
D. Reflection over the x-axis, then translated up 4 units.
Answers
The answer is A because x-1 means moving left 1 on the x axis. As well, y+4 means moving 4 up on the y axis.
Two cars, 360 kilometers apart, begin driving toward each other on a long, straight highway. One car travels 80 km per hour and the other 100 km per hour. At the same time, a canary, starting on one car, flies back and forth between two cars as they approach each other. If the canary flies 120 km per hour and spends no time to turn around at each car, how far has it flown when the cars collide?
Answers
All of the factors and multiples of 21 and 48
Answers
Answer:
Factors:
21 : 1, 3, 7, 21
48: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Multiples :
21 : 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567, 588, ...
48 : 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, ...
5 added to a certain number gives a result of -6 . Find that number
Answers
Answer:
- 11
Step-by-step explanation:
let the number be n , then
n + 5 = - 6 ( subtract 5 from both sides )
n = - 11
The number is - 11
Answer: -11
Step-by-step explanation:
Let x be the number
Set equation
x + 5 = -6
Subtract 5 on both sides
x + 5 = -6 - 5
[tex]\boxed{x=-11}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
please help!!!!!!!!!!
Answers
Step-by-step explanation:
I donot know it hard for me
Answer:
10-2 is 8 and keep the five drag the eight as the exponent and thats how you get your answer
Step-by-step explanation:
brainliest please
factorise pls explain me i will make u brainlinst
Answers
Answer:
4(5x _ 2y ) ^
Step-by-step explanation:
It is above in a photo .
Which of the following represents "10 less than n"?
Answers
Answer:
n - 10
Step-by-step explanation:
10 is less than n so subtract 10 from n
A. 3
B. 0.667
C. 0.333
D. 6
Answers
Answer:
C. 0.333
Step-by-step explanation:
It is a ratio. For every 1 added to the x-value, 3 is added to the y-value. So therefore, the constant is 0.333
Answer:
A. 3
Hope this helps :)
(x+5y =14
(2x – 3y=-11)
Answers
Answer:
x= -1 , y=3
Step-by-step explanation:
x= -1 , y=3, i just found x and y because you didnt tell anything
F
AABC - ADEF
Match the
following
AB [?]
B
E
B
DE EF FD
Answers
30, 32, and 34 Please! I WILL GIVE BRAINLIEST
Answers
Answer:
see explanation
Step-by-step explanation:
Since AL bisects ∠ KAT then ∠ 1 = ∠ 2
(30)
7x + 3 = 6x + 7 ( subtract 6x from both sides )
x + 3 = 7 ( subtract 3 from both sides )
x = 4
(32)
SAT is a straight line , then
∠ 1 + ∠ 2 + ∠ 3 = 180° , then
x + x + 4x = 180
6x = 180 ( divide both sides by 6 )
x = 30
(34)
Similar to (32)
x + 12 + x + 12 + 6x - 20 = 180 , that is
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Answer:
30) x= 4
32) x=30
33) x=22
Step-by-step explanation:
All step by step explainations are in pic below
Help me please look at the pictures
Answers
PLEASE HELP!!! The data set shows the numbers of flowers that students on a field trip correctly identified.
What is the mode of the data set?
2 0 5 7 8 9 8 2 1 8
A. 2 and 8
B. 2 only
C. no mode
D. 8 only
Answers
A. 2 and 8
is 2 and 8
Margarita entrena tres semanas para participar en un maratón. En la segunda semana recorre 1 km más que en la primera y en la tercera semana, corre el doble de km que los corridos en la segunda, ¿cuál es la representación algebraica simplificada de los kilómetros recorridos durante el entrenamiento?
Answers
Queremos encontrar una expresión algebraica que representa la situación dada.
Encontraremos que está es: 4*D + 3
Lo primero que debemos hacer es definir la variable.
Definamos D como la distancia que Margarita recorre en la primer semana.
En la segunda semana, Margarita recorre un kilometro más que en la primera, entonces en la segunda semana Margarita recorre:
D + 1km
En la tercera semana, Margarita recorre el dolbe de km recorridos en la segunda.
En la segunda ella recorrio D + 1km, y el doble de eso es:
2*(D + 1km) = 2*D + 2km
La distancia total recorrida sera la suma de las 3 semanas:
D + (D + 1km) + (2*D + 2km)
Simplificando los km, así solo queda una expresión algebraica, obtenemos:
D + (D + 1) + (2*D + 2)
Podemos simpliicar esto para obtener:
D + D + 1 + 2*D + 2
(D + D + 2*D) + (1 + 2)
4*D + 3
Entonces la representación algebraica simpliicada de los kilómetros recorridos durante el entrenamiento es:
4*D + 3
Si quieres aprender más, puedes leer:
https://brainly.com/question/21513785
How can I work this problem in adding integers with counters 5 + (-7)
Answers
[tex]\huge\mathsf\green{Answer}[/tex]
[tex]5 + ( - 7) \\ 5 - 7 = - 2[/tex]
hope it would be helpful3.9015 to the nearest thousandth
Answers
Answer:
3.902.
Step-by-step explanation:
3. 9015:
The 10 thousandth digit is 5 so you round up the 1 to 2.
Easy slope equation just don’t remember
Answers
-2,4)
4-3/ -2-0
1/-2
-2 is your slope
Hope this helps *smiles*