Find the exact value of Cosine (alpha + beta) given sin Alpha = two-fifths for Alpha in Quadrant II and Cosine Beta = one-third for Beta in Quadrant IV.
The exact value of cos (α + β) is (4√2-21) / 15.
What is angle?An angle is the formed when two straight lines meet at one point, it is denoted by θ.
Given that,
Sin α = 2/5, and α is in second quadrant,
cos β = 1/3 , and β is in fourth quadrant
Since, α is in second quadrant, the value of cos α will be negative.
The value of cos α, by right angle triangle property,
cos α = -√21 / 5
Since, β is in the fourth quadrant, the value of sin β will be negative.
The value of sin β = - 2√2 / 3
Cos (α + β) = cos α.cos β - sin α. sin β
Substitute the values here,
Cos (α + β) = (-√21 / 5) . 1/3 - 2/5. ( - 2√2 / 3)
= -21/15 + 4√2/15
= (4√2-21) / 15
The value of cos (α + β) is (4√2-21) / 15.
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Answer:
D
Step-by-step explanation:
Which set of values could be the side lengths of a 30-60-90 triangle?
A. 6, 12, 12\sqrt{3}
B. 6, 12, 12\sqrt{2}
C. 6, 6\sqrt{3}, 12
D. 6, 6\sqrt{2}, 12
Answer:
bbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
Answer:
4,4 sq 3, 8 sq 2
Step-by-step explanation:
Jimmy has 10 apple’s and gets rid of 2 how many are left
Answer:
8
Step-by-step explanation:
Answer:
8 apples
Step-by-step explanation:
By saying gets rid of, it means subtraction
So, the equation would be
10-2
=8
Hope that clarified your answer!
What is the value of x in the equation: 3x – 5x + 10 = 36
Answer:
-13
Step-by-step explanation:
3x-5x+10=35
-2x+10=36
-2x=36-10
-2x\-2=26\-2
x=-13
Select the correct answer.
Gio created a scatter plot and drew a line of best fit, as shown
Answer:
y=3x+5 is the answer for this question
Answer:
y= 1/3x+4
Step-by-step explanation:
The y-intercept is at 4 and the slope is 1/3
Given the formula y = mx + b, what is the slope of a line, m, if x = 5, y = 7, and b =10?
A. The slope 3/5 ·
B. The slope 5/3 ·
C. The slope - 3/5 ·
D. The slope - 5/3 ·
3Hg(NO3)2
Please help me with this
Answer:
whats the question
Step-by-step explanation
what do i gotta do??
Write an expression in standard form for
the area of the rectangle.
4x - 1
+
2x + 5
Answer:
6x +4
Step-by-step explanation:
add or subtract like terms
what is 55.01 rounded to the nearest whole number
Answer:
55
Step-by-step explanation:
50°
(x + 16)
Please help
Answer:
50o • (x + 16)
Step-by-step explanation:
it stays the same.
What is 1288 times 33?
42,504
Step-by-step explanation:Well, being a rudimentary rule of math, I'm going to work this out in a mental math manner for you to help you understand how it works.
Step 1 - Write it out laterally
1288
x 33
Step 2 - Multiply 3 across; make sure to carry
1288
x 33
3864
Step 3 - Add a zero to the end on the next line then repeat with the next 3 which is in the 10s place preparing it into an addition problem
1288
x 33
3864
+ 38640
Step 4 - Add them together
1288
x 33
3864
+ 38640
42504
Hope this helps
What is the distance between the points 4 and -5 on a number line?
Answer:
9
4--3--2--1--0--1--2--3--4--5
Positive Negative
Step-by-step explanation:
There is actually 2 questions
a farmhouse shelters 23 animals some of them are ducks and the others are goats . altogether these animals have 62 legs. find how many ducks and goats are in The farmhouse.
in a coin Bank , there are 104 dime and quarters worth a total of $14 . how many of each type of coins are in the bank .
Answer:
not sure but i need points
Step-by-step explanation:
A figure Quadrant lll was transformed, and the image is in Quadrant IV. Which could NOT have been the transformation?
Zorba ate 75% of his carrots. He started with 24 carrots. How many carrots are left?
Answer:
6
Step-by-step explanation:
75% of 24=18
24-18=6
i’m pretty sure it’s 18 carrots left
Alex was put on an improvement at work and they lowers his pay by 3% an hour before his decrease in pay he was making $14 an hour how much money is Alex making an hour afther his decrease in pay
Answer: Alex is making $ 13.58 after his decrease in pay.
Step-by-step explanation:
Given: Hourly pay for Alex before decrease in pay = $14
His salary decreased by 3%.
New hourly pay = Previous hourly pay - 3% of ( Previous hourly pay )
= $(14-0.03 (14))
= $ (14(1-0.03))
= $ (14(0.97))
=$ 13.58
Hence, Alex is making $ 13.58 after his decrease in pay.
helpppp pleaseeeeeeeeeee
Answer:
y=5
Step-by-step explanation:
if the slope is 0, its just a horizontal line passing through 7,5
have a good day lovely :)
describe fully the single transformation which takes shape A to shape B
Answer:
You need to show us the shapes first bro
Step-by-step explanation:
what is 4\5 equal ?\20 round by tens
Answer:
16/20
Step-by-step explanation:
*15 Points* need help quickly plz
Answer:
Both of these statements are correct.
Step-by-step explanation:
Adjacent means next to each other, vertical angles are like angles 2 and 5, where they are right across from each other.
I hope this helps/ makes sense!!!
This table shows the input and output values for a linear function f(x). What is the difference of outputs for any two inputs that are one value apart? −30 −25 1 20
Answer:
-25.
Step-by-step explanation:
What is the difference of outputs for any two inputs that are one value apart?
If you look at the column of "x" [input], you will see that they are 1 unit apart. You can thus look at the corresponding values of "f(x)" [output] and determine their difference. Checking all of those, gives us the difference (same for all).
Output 2 - Output 1:
Output 3 - Output 2:
Output 4 - Output 3:
Output 5 - Output 4:
So the difference of outputs for any two inputs one value apart are
Answer:
Is there a -25?
Step-by-step explanation:
if so i did the test
Can someone show me how to do this? It’s dividing polynomials.
Answer:
its 56
Step-by-step explanation:
Write the equation of a line that is
parallel to y = 0.5x + 6 and
passes through the point (6, -2).
Answer:
[tex]y=0.5x-5[/tex]
Step-by-step explanation:
Since the equation is parallel, this means that the slope remains the same which is 0.5.
The remaining thing to do is to find b or y-intercept. To do that, the point (6,-2) and the slope of 0.5 will be used.
[tex]-2=0.5(6)+b[/tex]
When solving for b, it will equal to -5.
Therefore the new equation that is parallel is [tex]y=0.5x-5[/tex]
The equation of a line parallel to y = 0.5x + 6 and passes through the point (6, -2) is y = 0.5x + 1.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know lines parallel to each other have the same slope.
The given line can be written as y = 0.5x + 6.
Therefore, The required line also has a slope of 0.5 passing through the point (6, -2).
- 2 = 0.5×6 + b.
- 2 = - 3 + b.
b = 1.
So, y = 0.5x + 1.
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5x²+15x+20=0. find the sum and the product of the roots.
Answer:
The sum of the roots is -3
The product of the roots is 4
Step-by-step explanation:
Write the statement below as a math expression
twice the difference of a number and eight
A.
2n+8
B.
2n-8
C.
2(n+8)
D.
2(n-8)
What is the slope-intercept equation of the line below?
y-intercept = (0-2)
slope = -1
Answer:
y = -1x -2
Step-by-step explanation:
HELP ASAP PLEASESSSSS
Find the area of a rectangle with length of 3 inches and width of 8 inches.
Area = _____ square inches.
Answer:
24
Step-by-step explanation:
3*8=24 Inches^2
Answer: 24 sq. In.
Step-by-step explanation: area of a rectangle is l x w, or ab
what is 5 plus 2 it is 7
Answer:
The answer is 7.
Step-by-step explanation:
5 + 2 = 7
I hope this helps! If it did, please consider rating and pressing thanks! Have a good day.
Answer:
7
Step-by-step explanation:
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Minutes for Sarah
to Reach School
38
27
25
26
17
On which day did Sarah reach school in the
shortest amount of time?
How many minutes more did Sarah take to
reach school on Monday than on Thursday?
Answer:
Step-by-step explanation:
Sickbed yeah dondrn lake
-6=8x-14 show all steps please
Answer:
1=x
Step-by-step explanation
Add 14 to both side(because it is opposite)
-6=8x-14
+14 +14
8=8x
Divide both sides by 8
8/8=8x/8
1=1x(or just 1=x)
The answer will be X=1.