precal dc:
Let sin A = 1/3 where A terminates in Quadrant 1, and let cos B = 2/3, where B terminates in Quadrant 4. Using the identity:
cos(A-B)=cosACosB+sinAsinB
find cos(A-B)
Answers
The value of expression cos (A - B) is,
cos (A - B) = (4√2 - √5) / 9
We have to given that;
sin A = 1/3 where A terminates in Quadrant 1,
And , cos B = 2/3, where B terminates in Quadrant 4.
Since, We know that;
sin² A + cos² A = 1
(1/3)² + cos²A = 1
cos²A = 1 - 1/9
cos²A = 8/9
cos A = 2√2/3
And, We know that;
sin² B + cos² B = 1
(2/3)² + sin²B = 1
sin²B = 1 - 4/9
sin²B = 5/9
sin B = √5/3
Hence, We get;
cos (A - B) = cos A cos B + sin A sin B
Substitute all the values, we get;
cos (A - B) = 2√2/3 x 2/3 + 1/3 x √5/3
cos (A - B) = 4√2/9 - √5/9
cos (A - B) = (4√2 - √5) / 9
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Related Questions
Step 1: Give an example of an equation that has a variable on both sides. (YES YOU GET TO MAKE UP YOUR OWN EQUATION) Step 2: After you create your equation, explain with words how you would solve your equation. Make sure you explain each step and the properties you would use. Your answer should be in paragraph form. *
Answers
Answer:
3m = 3m
Step-by-step explanation:
Divide both sides by 3, and you get m = m
disappointing but this was all i could think of sorry
Evaluate the expression for the given value of the variable.
6 × (h + 4) for h = 3
The answer is
Answers
Answer:
42
Step-by-step explanation:
6*(3+4)6*7
42
Answer:
42
Step-by-step explanation:
[tex]6 \times 3 + 6 \times 4 \\ 18 + 24 = 42[/tex]
Which equation represents the line that passes through the point (1, 5) and has a slope of -2?
Answers
Answer:
y=-2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-2(x-1)
y=-2x+2+5
y=-2x+7
show your work plzzz i will give you the points
Answers
Answer:
I do not see a problem.
Step-by-step explanation:
Thanks for the points.
SOMEONE PLEASE HELP ME AND ANSWER THIS QUESTION CORRECTLY I WILL MAKE YOU THE BRAINLIEST, GIVE YOU A GOOD RATE, PLEASE ASWER THIS ASAPPPPPPPPP!!!!!!!!!!! I NEED HELP ASAPPPPPPPPPPP!!!!!!!!!!
Answers
Answer:
30 10 4
Step-by-step explanation:
Give Brainliest
Ada is making rice. The instructions call for 2 1/4 cups of water for 1 cup of rice. Ada is using only 1/3 cup of rice.
Answers
Answer:
3/4 cup of water
Step-by-step explanation:
2.25 (2 1/4) divided by 3 (or times 1/3) is 3/4
The required number of cups of water is 3/4 cups of water
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of cups of rice = 1 cup
The number of cups of water for making rice = 2 1/4 cups of water
So the equation for
The number of cups of water for 1/3 cups of rice =
Number of cups of water for making rice / 3
The number of cups of water for 1/3 cups of rice = 2 ( 1/4 ) / 3
= 9/4 / 3
= 3 / 4 cups of water
Therefore , the number is 3/4 cups of water
Hence , The required number of cups of water is 3/4 cups of water
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On a coordinate map of Melville, a restaurant is located at (-6,-5). A laundry business is located 3 units to
the left of the restaurant on the map.
What are the map coordinates of the laundry business?
The coordinates of the laundry business are
Answers
Answer:
(-9, -5)
Step-by-step explanation:
HOW PLEASE EXPLAIN TOO WITH ANSWER
Answers
Answer:
y = -2x + 3
Step-by-step explanation:
5 x -2 + 3 = -7
3 x -2 + 3 = -7
9 x -2 + 3 = 1
-3 x -2 + 3 = 9
You just have to test all of the options, everything, out and pick what fits.
Hope that helps!
Explanation:
You will have to try to substitute the numbers shown in the table with the 4 equations. And see which equation satisfies all the expressions in the table.
y = -2x + 3
Sub x = 5 and y = -7,
-7 = -2(5) + 3
-7 = -10 + 3
-7 = -7
(x=5 and y=-6 satisfies the equation y=-2x+3)
Sub x=3 and y=-3,
-3 = -2(3) + 3
-3 = -6 + 3
-3 = -3
(x=3 and y=-3 also satisfies the equation y=-2x+3)
Same goes for all the other numbers...
Hope it helps :)
Find the area of the shape shown below
Answers
Answer: 15
Step-by-step explanation:
3*3=9
4*3/2=6
9+6=15
Answer:
The area is 15 units squared
If the sum of the measures of the three angles shown is 163°, what is the measure of ZCEB? I need help ASAP!!!!
Answers
Answer:
24 degree
Step-by-step explanation:
sum of all three angles = 163
x + 4x + 2x + 5 - 10 = 163
7x - 5 = 163
7x = 163 + 5
x = 168/7
x = 24
Answer:
24 degree
Step-by-step explanation:
Having trouble solving this:
Answers
Answer:
option c.
1/100
.........................
Answer:
0.01= [tex]\frac{1}{100}[/tex]
I have to solve this
4x-5=2-x
Answers
Answer:x=7/5
Step-by-step explanation:
Answer:
x= [tex]\frac{7}{\\5}[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x−5=2−x
4x+−5=2+−x
4x−5=−x+2
Step 2: Add x to both sides.
4x−5+x=−x+2+x
5x−5=2
Step 3: Add 5 to both sides.
5x−5+5=2+5
5x=7
Step 4: Divide both sides by 5.
[tex]\frac{5x}{5}[/tex] = [tex]\frac{7}{5}[/tex]
Find the least common multiple (LCM) of 6 and 10
Answers
Answer:
30
Step-by-step explanation:
Multiples of 6 are 6,12,18,24,30.
Multiples of 10 are 10,20,30.
30 is the number they both have in common first. 30 is the LCM.
Hope this helps!
The least common multiple (LCM) of 6 and 10 is 20
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
6 and 10
The multiples of 6 are 6, 12, 18, 24, 30, 36, ...
The multiples of 10 are 10, 20, 30, 40, 50, 60,...
Now,
The least common multiple (LCM) of 6 and 10.
= 30
Thus,
30 is the LCM of 6 and 10.
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Which coordinates represent a translation of B(1, 2) 3 units to the left and 2 units up?
B′(–2, 0)
B′(–2, 4)
B′(4, 4)
B′(4, 0)
Answers
Answer:
(-2,4)
Step-by-step explanation:
B(1,2)
(x-3, y+2)
1-3=-2
x=(-2)
2+2=4
y=4
Hope this helps! :)
Answer:
B'(-2, 4)
Step-by-step explanation:
If it goes 3 units left, that means you're doing x - 3.
If it goes 2 units up that means you're doing y + 2 This would be:
(1 - 3, 2 + 2)
(-2, 4)
Help please answer fast!!!
Answers
Answer: -3.5
Step-by-step explanation:
tell if im wrong
Answer:it would be 7.5
Step-by-step explanation:-2.5 + 2.5 = 0 0+2.5=2.5 2.5+2.5=4.5 so it would be 2.5+2.5+2.5=7.5
solve for x and find x
Answers
Answer:
x = 24
Step-by-step explanation:
Because this shape is a parallelogram, the line segment measuring 6x must be equal to the line segment on the other side of E, which measures 144 units. 144 ÷ 6 = 24
Which expression is equivalent to |a|≤5 ?
a ≥ –5 or a ≤ 5
a ≥ –5 and a ≤ 5
a ≤ –5 and a ≥ 5
a ≤ –5 or a ≥ 5
Answers
Answer:
The answer would be a>-5 or a< 5
Step-by-step explanation:
I hope this helps, let me know if i'm incorrect
help!!!!!!!!
5x^2 - 35x+50/x^2-x-20
also here is something cute.......... a munchkin cat
Answers
Answer:
funny
Step-by-step explanation:
funny
Which statement is true about the slope of the graphed line?
A. The slope is negative
B. The slope is positive
C. The slope is zero
D. The slope is undefined
Answers
Answer:
The answer is B, the slope is positive.
Answer: B, the slope is positive.
Step-by-step explanation:
The slope is positive because it is going upwards from left to right.
Sofia made 10% of her free throws over the season. If she shot 160 free throws, how many did she make?
Answers
Answer:
16
Step-by-step explanation:
160 * 10% = 16
160 * 0.1 = 16
can you help me with this
Answers
Answer:
[tex]140[/tex]°
Step-by-step explanation:
This polygon has [tex]9[/tex] sides, so it's a nonagon. The expression used to find the sum of the measures of the interior angles of any polygon is [tex]180(n-2)[/tex]° where [tex]n[/tex] is the number of sides the polygon has. In this case, [tex]n=9[/tex], so the sum of the measures of the interior angles of this polygon is [tex]180(9-2)=180*7=1260[/tex]°.
We are given that this is a regular polygon (with 9 sides), meaning that all of its interior angles have the same measure, and we also know that the sum of the measures of its interior angles is [tex]1260[/tex]°. Therefore, each interior angle measures [tex]\frac{1260}{9}=140[/tex]°. Hope this helps!
help PLEASE!!! [URGENT]
Answers
Examine this expanded form.
1
(a)(a)(a)(a)(a)(a)
Which is the expression in exponential form?
6-a
6a
a-6
6a-1
Answers
Answer:
*drumroll* It's C. a-6,babes <33
Step-by-step explanation:
Did this in Edge,hope it helps >3<
Answer:
C
Step-by-step explanation:
edge 2021
Se lanzan 7 volados consecutivos y en todos ellos ha caído águila. ¿Cuál es la probabilidad de que en el décimo volado también caiga águila? En todos los eventos la probabilidad ha sido ½; por lo cual, en el décimo volado sigue la misma probabilidad 1/2
Answers
Respuesta: 0.5
Explicación paso a paso:
El posible resultado es 2:
1.) que cae un águila
2.) que un águila no cae
Cada resultado posible con igual probabilidad:
Probabilidad = resultado requerido / resultados posibles totales
P (cae un águila) = 1/2
P (el águila no cae) = 1 - 1/2 = 1/2
Por lo tanto, la probabilidad de que un águila caiga en la décima mosca es la misma que las probabilidades previas de que un águila caiga o no y es independiente. El hecho de que el águila haya caído en siete moscas consecutivas no aumenta la probabilidad de que el águila haya caído en la décima mosca.
Marlye asked students in her school whether they prefer scary movies or comedies she found out that 35 students liked scared movies and 65 likes comidies what percent prefier scary movies
Answers
Answer:Percentage of students who prefer scary movies =35%
Step-by-step explanation:
Number of students who prefer scary movies= 35
Number of students who love comedies= 65
Total number of students = 65 +35= 100
Percentage of students who prefer scary movies = Number students who prefer scary movies/ total number of students x 100
35/ 100 x 100
0.35 x 100= 35%
SI UN NUMERO SE MULTIPLICA POR 7, EL RESULTADO ES IGUAL AL NUMERO AUMENTADO EN 24. ¿ CUAL ES EL NUMERO? 7 . X : X + 24
Answers
Answer: El número es 4.
Step-by-step explanation:
Sea X un número.
Acá tenemos:
"Si un número se multiplica por 7"
Esto se escribe como 7*X
"... El resultado es igual al número aumentado en 24"
Esto lo podemos escribir como:
7*X = X + 24
Ahora debemos resolver esta ecuación para X.
7*X = X + 24
Primero, debemos llevar todos los términos con X al mismo lado de la ecuación, para hacer esto, podemos restar X en ambos lados:
7*X - X = (X + 24) - X
6*X = 24
Ahora debemos dividir ambos lados por 6.
6*X/6 = 24/6
X = 4
El número es 4.
Which of the following equations are equivalent? Select three options.
2+x=5
X+ 1 = 4
09+X=6
X+(-4)=7
0-5+ X= -2
Answers
Answer:
2+x=5
X+1=4
0-5+X= -2
These are the answers
use the communitive property of addition to rewrite 3 + 5 + 7. Which expression is equivalent?
Answers
Answer: 8+7
Step-by-step explanation: 3+5+7 is equivalent to 8+7 because if you add the both of them you’ll get the same exact answer which is 15
How to find the volume of a cone?
Answers
Question 1 of 5
What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for tt.
A. 18.84 ft
B. 28.26 ft
C. 37.68 ft
D. 9.42 ft
Answers
Answer:
The answer is A. 18.84
Step-by-step explanation:
Hope this helps =)