By definition of tangent,
tan(θ - x) = sin(θ - x) / cos(θ - x)
Expand the sine and cosine terms using the angle sum identities,
sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)
cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)
from which we get
tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))
Also recall the Pythagorean identity,
cos²(x) + sin²(x) = 1
from which we have two possible values for each of cos(θ) and sin(x):
cos(θ) = ± √(1 - sin²(θ)) = ± 3/5
sin(x) = ± √(1 - cos²(x)) = ± 12/13
Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :
• cos(θ) = 3/5, sin(x) = 12/13 :
tan(θ - x) = -56/33
• cos(θ) = -3/5, sin(x) = 12/13 :
tan(θ - x) = 16/63
• cos(θ) = 3/5, sin(x) = -12/13 :
tan(θ - x) = -16/63
• cos(θ) = -3/5, sin(x) = -12/13 :
tan(θ - x) = 56/33
Now
cos(ø-x)
cosøcosx+sinøsinx(3/5)(-5/13)+(4/5)(12/13)(33/65)sin(ø-x)
sinøsinx-cosøcosx48/65+33/6581/65So
tan(ø-x)
sin(ø-x)/cos(ø-x)81/65÷33/6581/3327/11HELP FOR BRAINLIESTTT WITH THE RIGHT ANSWERRR
Causation and Correlation
Answer:
the answer is the 3rd option!
Answer
The answer is definitely 3 :)
NEED HELP URGENTLY
Which equation would you use to find the distance between the two points? A. |2 - 4| B. |2 - (-4)| C. |-5 - 5| D. |2 + (-4)|
picture below.
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I believe that's right
Which equation can be used to determine the value of x?
(3x + 18) = 93
All of these
(3x + 18) + 93 = 90
(3x + 18) + 93 = 180
None of these
Answer:
(3x + 18) + 93 = 180
23 + X
Step-by-step explanation:
(3x + 18) + 93 = 180, its supplymentery
180 - 93 = 87
87 - 18 = 69
3x = 69
69/3 = 23
23 = X
Answer:
Step-by-step explanation:
Remark
You have to assume nothing you should have to assume. You have to assume that 93 degrees on 3x + 18 sit on the same straight line. If it just looks that way, you are on shaky ground. You must be told. It's a good thing to keep in mind. Likely you'll get more questions like this. Just be aware you should not have to assume anything to make the problem work.
If the two angles both have one leg on what is marked as a straight line, then the sum of the two angles must = 180
Solution
The first one is not true. 3x + 18 is smaller than 90 degrees because 93 is more than 90 degrees. If A is true then the line is bent a bit.
B is not true. We just found one equation that doesn't work.
C is not true either. The result of trying to solve C will make x minus because 93>90 and 18 when subtracted makes 3x even more minus.
D is true
(3x + 18) + 93 = 180 Subtract 93 from both sides.
(3x + 18) + 93-93 = 180 - 93 Combine
(3x + 18) = 87 Remove the brackets
3x + 18 = 87 Subtract 18
3x+18-18 = 87-18
3x = 69 Divide by 3
3x/3 = 69/3
Answerx = 23
E is not true because D is true.
ΔABC ο ΔQRS
Find the missing side length, m.
Answer:
m=5
Step-by-step explanation:
If the triangles are similar, the ratios of the side lengths are the same
AB AC
----- = -------
QR QS
6 3
---- = -----
10 m
Using cross products
6m = 3*10
6m = 30
Divide each side by 6
6m/6 = 30/6
m = 5
[70 POINTS!] What is the volume of the pyramid? Explain your reasoning.
Volume of cuboid=abc
Volume of prism :-
Area of base×Heightab ×cabcSame volume i.e 39 units²
If a,b,c=a,b,c
NEED HELP!! 10 POINTS
Answer:
x = 35,000
y = 30,000
Step-by-step explanation:
5x + 2y = 235,000
2x + 3y = 160,000
Have a nice day! :)
7. If VS = 12 meters, find the length of UT.
=
R
127°
V
S
ogmotor
antolles
W
loonsleder
U
T
The length of arc UT in the diagram given, to the nearest tenth, is calculated as: 3.9 meters.
What is the Length of an Arc?Length of arc = ∅/360 × 2πr
Given the following:
Radius = 1/2(VS) = 1/2(12) = 6 meters
∅ = 90 - (180 - 127) = 37°
Length of arc UT = ∅/360 × 2πr = 37/360 × 2π(6) = 3.9 meters
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Graph the equation. y = − 5/4 ( x − 1 ) ( x + 3 )
Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.
Answer:
See below ~
Step-by-step explanation:
Details of Graph
Vertex = (3, 1)Axis of symmetry : x = 3Y-intercept : 10Zeros : no solutionsfind the total surface area of the following prism
5cm
6cm
8cm
4cm
Answer:
The total surface area of the given prism is 152 square centimeters.
Explanation:
I'm very brainly.
Answer: its 152 squared cm
Step-by-step explanation:
i just used a app to answer
And 18 ounce box of raisins cause $2.88 a 24 ounce box of raisins cost $3.60 which one is the better deal
Answer:
the 24-ounce box
Step-by-step explanation:
18/2.88 = 6.25$
24/3.6 = 6.67$
Please help me with this
Step-by-step explanation:
imagine that point (-2, -5) on the coordinate grid.
in what quadrant is it ?
it is, where both x and y are negative : the bottom left (3rd) quadrant.
and this is the same quadrant for the circle and the placement of the angle of the point on the circumference to the x-axis (the basic diameter).
what signs do sine and cosine of angles in the third quadrant have ?
sine goes below the x-axis and is therefore negative.
cosine is to the left of the y-axis and is therefore negative.
that eliminates answer c (with positive sine and cosine values).
as tan(x) = sin(x)/cos(x)
and
cot(x) = cos(x)/sin(x)
both, tan and cot, must be positive (-/- = +).
that eliminates answers a and d.
but there is also a problem with the remaining answer b :
cot(x) = 1/tan(x), as the above definitions tell us.
but answer b says that they are both 5/2. and that cannot be.
so, there is no correct answer option.
therefore, let's calculate the real results, and then you need to find the right option in the original problem definition without typos.
the point again is (-2, -5). x = -2, y = -5.
the center of the circle is at the origin.
so, the radius of the circle is per Pythagoras
r = sqrt(x² + y²) = sqrt((-2)² + (-5)²) = sqrt(4 + 25) = sqrt(29)
sin(angle) = y/r = -5/sqrt(29) = -5×sqrt(29)/29
cos(angle) = x/r = -2/sqrt(29) = -2×sqrt(29)/29
tan = sin/cos = -5/sqrt(29) / -2/sqrt(29) = -5/-2 = 5/2
cot = cos/sin = -2/sqrt(29) / -5/sqrt(29) = -2/-5 = 2/5
csc(angle) = r/y = sqrt(29)/-5 = -sqrt(29)/5
sec(angle) = r/x = sqrt(29)/-2 = -sqrt(29)/2
again, except for the error in answer b about cot, it would all point to answer b.
Which of the following graphs represents the equation y = 2x + 2?
B
D
(1,6)
O
.(9.1
(0,2)
(0, 2)
(x (-1, 0))
• A. Graph A
• B. Graph B
• C. Graph C
D. Graph D
the answer is the litter B
Answer:
B.) Graph B
Step-by-step explanation:
You can determine which is the correct graph by verifying the points on the graphs with the equation. Remember, the leftmost number in the parentheses is the "x-value" and the rightmost number is the "y-value".
Graph B has the points (0,2) and (2,6) on the line.
y = 2(0) + 2
y = 2
y = 2(2) + 2
y = 4 + 2
y = 6
As you can see, when the "x-values" are plugged into the equation, the value generated matches the "y-value" of the point. Not all the points on the other graphs are accurate according to the equation. You can prove this to yourself by following the same method as above.
Evaluate 3 + (a + 4) (8
b) when a
5 and b = 6.
What is the value of the expression
Answer:2a/(3b−c)
substitute a=6 b=4 c=8
(2*6)/((3*4) -8)
12/(12 -8)
12/(4)
3
Choice B
2a+b−3 when a=5 b=2
2(5) +2-3
10+2-3
12-3
9
Choice B
8ab/2bc
rearrange to make the math easier
8/2 * a/c * b/b
4 * a/c *1
4 * 3/4
rearrange to make the math easier
4/4 *3
3
Step-by-step explanation:
Translate the triangle.
Then enter the new coordinates.
Answer:
B'(-1,6)
C'(2,6)
Step-by-step explanation:
You just have to change the x by -2 and the y by +4 because we know that (3,4) turned to (1,8)
Hope this helped!
iris is a sales woman whose base pay plus commissions amounted to $69,464 last year. if her base pay was 39,710 and she made $78,300 in sales last year, what was her rate of commission?
Answer:
Iris is a saleswoman whose base pay plus commissions amounted to $69,464 last year. If her base pay was $39,710 and she made $78,300 in sales last year,
what was her rate of commission?
Commissions were $29,590 against sales of $78,300
Her rate of commission was 37.79%
Step-by-step explanation:
-6(-3 + x) = 6
solve for x please
-6(-3+x) = 6
-3+x = 6+6
-3+x=12
-3x=12
x=12^3
x=2
Suppose you invest $7500 at an annual interest rate of 4.2% compounded continuously. How much will you have in the account after 2 years? Round the solution to the nearest dollar.
$17,373
$8158
$8157
$17,372
Answer:
$ 8157
Step-by-step explanation:
7500 e^.042(2) = 8157.22 ~ 8157
If one 1+1 to 2+2 is 8....... Then what the hell is this?
Answer:
it’s cross multiplication.
Step-by-step explanation:
I’m wondering if you had a teacher that was trying to explain this and even online I had a teacher who would explain something when nobody understood the topic.
1. 2 * 13 = 26
2. 10 * x = 10x
26 = 10x
Answer:
X=2.6
Step-by-step explanation:
This shows 'cross multiplying'
This is a 'short cut' method of finding the common denominator of two fractions in order to 'work' with them :
2/x = 10/13 <==== common denominator is 13x
so multiply the L side by 13/13 and the right side by x/x to get
26/13x = 10x / 13x Now with common denominator, you can solve.
Equate the numerators :
26 = 10x <====== there is your 'short cut' found by cross multiplying
x = 26/10 = 2.6
HELP PLEASE ILL MARK BRAINLIEST WHEN I CAN
Answer:
216 degrees
Step-by-step explanation:
To convert radian measure to a degree, substitute 180 degrees in for pi.
6(180)/5=216 degrees
Therefore, your answer is 216 degrees
At Sam's Club, a case of 16 boxes of macaroni and cheese can be purchased for $24.00. Which equation could be used to describe this situation?
A. x+16=24
B. x-16= 24
C. x/16=24
D. 16x=24
Thanks
Answer:
D
Step-by-step explanation:
16 times the # of boxes = $24.
You can solve this equation by doing 24/16=$1.5 per box
Find the area of the parking space shown to the right
-18ft and 9 1/4 ft-
Answer:
166 1/2 or 166.5
Step-by-step explanation:
The formula for finding area is length*width. This can also just be written as A=l*w. Our area is still unknown, so it'll stay as A in this equation. Here, our length and width don't matter all that much, so we can input them where we please.
Now, we have the equation A=18*9 1/4
So, let's solve! 18*9 1/4 is equal to 166 1/2 or 166.5
With this, the area is equal to 166 1/2 or 166.5
Really tired and need help 100 points
Answer:
purple
Step-by-step explanation:
GEOMETRY
I'm working on a project and im not quite sure what bullet points 1 & 2 are asking. Help would be appreciated by telling me what I have to do.
Answer:
Its like how much you multiply the original shape by, to the new one.
For example, if your new shape is double the size of the original shape, then the scale factor is 2, because you would multiply the original by 2, to get the size of the new.
However, if your new shape is half the size, then the scale factor is 1/2, as you multiply the original by half to get the new shape.
Hope this cleared things up, lmk down below if you any further questions.
PLEASE PLEASE PLEASE HELP ME!!
Answer:
the answer to the question is D
Answer:
The answer is actually B
Step-by-step explanation:
the top layer is 5 x 5 x 2
the bottom layer is 5 x 2 x 10
5 x 5 = 25 and 25 x 2 = 50
5 x 2 = 10 and 10 x 10 = 100
100 + 50 = 150
hehe i finished also what is 856 x 925? i'ma take a nap now
Answer:
791,800
Step-by-step explanation:
Answer: 791800
Step-by-step explanation:
how many ml of curry powder are needed
Answer:
How many grams of curry powder are in 1 teaspoons? 2.13 grams of curry powder fit into one teaspoon. 2 teaspoons of curry = 4.26 grams of curry.
Hope this helps...
As the guest was sneaking away, the groundskeeper was 4 feet (or 48 inches) away and pushed an 84-inch ladder onto the suspect. The very top of the ladder hit the guest on the top of the head. Find the height of the guest in inches the convert to feet.
The height of the guest in inches will be 68.93 and in feet is 5.7.
What is the Pythagorean theorem?It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
By applying the Pythagorean theorem:-
P² = H² - B²
P² = 84² - 48²
P² = 4725
P = √4725
P = 68.73 inches
Now the height in feet will be 68.73 / 12 = 5.7 feet.
Therefore the height of the guest in inches will be 68.93 and in feet is 5.7.
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divide (6x^3 + 26x^2 + 16x - 24) / (x + 3)
Answer:
2(x+2)(3x-2)
Step-by-step explanation:
Hope I helped you
Question 3. Gene and Dixie, husband and wife (ages 35 and 32), both work. They have an adjusted gross income of $95,000 in 2017, and they are filing a joint income tax return. Both have an employer-provided retirement plan at work. What is the maximum IRA contribution they can make? How much of that contribution is tax deductible?
The maximum IRA contribution for 2017 and 2018 was $5,500 and the amount is fully tax-deductible.
What is an IRA contribution?An individual retirement account (IRA) contribution is a tax-advantaged contribution that allows the taxpayer to save money for retirement.
Given the couple's adjusted gross income of $95,000 in 2017, the maximum IRA contribution is $5,500 fully tax-deductible.
IRA contributions fall into:
Traditional IRA (tax on withdrawals)Roth IRA (after-tax contributions).Thus, the maximum IRA contribution for 2017 and 2018 was $5,500 and the amount is fully tax-deductible.
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