Answer:
129º
Step-by-step explanation:
This is just a guess since you didn't include the diagram
b is supplemetary to a
therefor
b = 180 - a
b = 180 - 51
b = 129º
prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]
Consider LHS
(sinθ/1+cosθ) + (1+cosθ/sinθ) =
= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]
= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]
= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]
[°.° (a+b)² = a²+2ab+b²]
Here, a = 1, b = cosθ
= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]
= [1+1+2cosθ]/[(1+cosθ)sinθ]
[°.° sin²θ+cos²θ = 1]
= [2+2cosθ]/[1+cosθ)sinθ]
= [2(1+cosθ)]/[(1+cosθ)sinθ]
= 2/(sinθ)
[°.° 2/sinθ = cosecθ]
= 2cosecθ = RHS.
Hence, Proved.
Read more:
Similar Questions
If cosθ =1/3 , then sinθ = _____.
https://brainly.com/question/5470328?referrer
Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...
https://brainly.com/question/25682447?referrer
BrainlyCPT~
Brainly Team
help me please! find the angles and solve for x!!!
Answer:
x = 25; 47 degrees, 47 degrees, 86 degrees
Step-by-step explanation:
the two triangles are congruent so they have the same angles
that means 2x - 3 = x + 22
2x - 3 = x + 22
subtract x from each side
x - 3 = 22
add 3 to both sides
x = 25
and this is your answer
assuming that the triangles are isosceles triangles two of the angles are the same
the angles with the x on it are 47 after calculating
that means that the other angle across from it is also 47
a triangles angles added up is 180
47 + 47 + n = 180
the last angle after calculating is 86 degrees
4/5% of 15 - show work.
I got 12 but my teacher said it was wrong? what's the right answer then?
Answer:
it is 12 but you probably didnt show our work
Step-by-step explanation:
Here is an example you can use:I multiplied 15 by .80 because I know that 4/5 is 80 of 100.
Answer:
0.12
Step-by-step explanation:
This is probably where you got confused
4/5% = 0.8%
-------------------------
15 / 10 = 1.5
1.5 / 10 = 0.15
0.15 / 10 = 0.015
or
15 / 1000 = 0.015
-------------------------
0.015 x 5 = 0.075
0.015 x 3 = 0.045
0.075 + 0.045 = 0.12
More Detailed Version
4/5 of 1% = 0.8%
0.8% is in the thousandths digit
15 / 1000 = 0.015
0.015 x 5 = 0.075
0.015 x 3 = 0.045
0.075 + 0.045 = 0.12
Brainly?
A population of values has a normal distribution with μ=5.5 and σ=94.4. You intend to draw a random sample of size n=101.
Find P10, which is the score separating the bottom 10% scores from the top 90% scores. P10 (for single values)
Find P10, which is the mean separating the bottom 10% means from the top 90% means.
P10 (for sample means)
Answer:
P10 = P₁₀ = -115.5
Step-by-step explanation:
Shown in the picture
Triangle BDC is an isosceles triangle. Triangle ACE is a right-angled triangle.
Show that triangle ABC is an equilateral triangle.
Cuanto es 1/3 + 5/8 + 1/2
Answer:
35/24
Step-by-step explanation:
1/3 + 5/8 + 1/2
8/24 + 15/24 + 12/24
Hola!
Primero, debes asegurarte de que todas las funciones compartan el mismo denominador.
4(1/2)= 4/8
1/3 + 5/8 + 4/8
1/3 + 9/8
Ahora necesitamos encontrar un denominador común de 3 y 8.
El mínimo común múltiplo de 3 y 8 es 24.
8(1/3)= 8/24
3(9/8)= 27/24
8/24 + 27/24= 35/24
Entonces tu respuesta es 35/24!!
Lo siento si mi español no es bueno.
What is 5,000 x 1,000
Answer:
The Answer is 5,000,000
Hope this helps!!
If Val walls 1/2 mile for every 3/4 mile she runs if she walked 2 miles how many miles did she run
Solve the simultaneous equations
5x + 3y = 23
2x + 4y = 12
Answer:
x= 4, y= 1
Step-by-step explanation:
5x +3y= 23 -----(1)
2x +4y= 12
Divide both sides by 2:
x +2y= 6 -----(2)
(2) ×5:
5x +10y= 30 -----(3)
(3) -(1):
5x +10y -(5x +3y)= 30 -23
Expand, simplify:
5x +10y -5x -3y= 7
Divide both sides by 7:
7y= 7
y= 7 ÷7
y= 1
Substitute y= 1 into (2):
x +2(1)= 6
x +2= 6
x= 6 -2
x= 4
Anybody know the answer and how did you get it
Answer:
so I'm guessing you're solving for x
because angle 2 is the vertical angle to angle 3 so this means that they are congruent
4x-26=3x+4
4x-3x=4+26
x=30
solve for missing side of the right triangle, round to the nearest tenth .
Find the measure of angle y.
A) 19
B) 22
C) 41
D) 120
Answer:
19
Step-by-step explanation:
because it alternate with A
-7(11) is -77 or 81
Hi there!
-7(11) is equivilent to -7*11 which equals -77.
x^2-4x+11
In the form a(x+h)^2+k
Answer: im very sorry
Step-by-step explanation:
Pls helppp it’s due soon!
Will give brainliest if your answer is right
Answer:
19.4
Step-by-step explanation:
This problem can be simplified to finding the diagonal of a rectangle of sides 19 and 4. Using the Pythagorean theorem gives FH = √(19^2 + 4^2) = 19.4
Ivanna and her husband are each starting a saving plan. Ivanna will initially set aside $50 and then add $50.85 every week to the savings. The amount A (in dollars) saved this way is given by the function A=50 +50.85N, where N is the number of weeks she has been saving. Her husband will not set an initial amount aside but will add $65.95 to the savings every week. The amount B (In dollars) saved using this plan is given by the function B=65.95N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.
Answer:
N=0.019666a-0.983284 or
A = 50.85n + 50
Step-by-step explanation:
Let's solve for n.
a = 50 + 50.85n
Step 1: Flip the equation.
50.85n + 50 = a
Step 2: Add -50 to both sides.
50.85n+50+-50=a+-50
50.85n n = a - 50
Step 3: Divide both sides by 50.85.
50.85n
50.85
=
a-50
50.85
n=0.019666a-0.983284
Let's solve for a.
a = 50 + 50.85n
Find an equation of the circle that has center (-6,2) and passes through (1,-2).
Answer:
(x+6)^2+(y-2)^2=65
Step-by-step explanation:
Answer:
Should be (x+6)^2+(y-2)^2=65
the number after the carrot represents an exponent
hope it helps
How do you solve the following equation: n+2*0.5n+1
Answer:
[tex]n=-\frac{1}{2}[/tex]
Step-by-step explanation:
The order of operators is the next:
ParenthesisExponentsMultiplication and divisionAddition SubtractionSo the first step is multiply and later add up the rest terms ([tex]0.5 = \frac{1}{2}[/tex]).
[tex]n+\frac{2}{2}n + 1 = 0\\n + n + 1 = 0\\2n = -1\\n = -\frac{1}{2}[/tex]
What is this symbol??
Answer:
plus and minus
Step-by-step explanation:
example : 3 ± 5 = 8 or -2
Hello!
The symbol + means "plus or minus"
It means we either add or subtract 4.
Example: 2+4=6 or -2
Hope it helps!
~Just a felicitous teen
#CarryOnLearning
[tex]SilentNature :-)[/tex]
Can you do it?I can’t understand
Answer:
489,162
Step-by-step explanation:
Hope it can help you lovelots
Find the area of the sector
if r = 15
A≈706.86
Steps:
A = πr²=π·15²≈706.85835 ( round to the nearest tenth )
= 706.86
Circle Formula:
Diameter of a Circle D = 2 × r
Circumference of a Circle C = 2 × π × r
Area of a Circle A = π × r2
After solving the next three terms in
5120, 1280, 320, 80, …
How could you find the explicit rule?
a (n)=a1 × r^(n-1)
a1=5120
a2=1280
a3=320
a4=80
-->a2/a1=1280/5120=0.25
-->a3/a2=320/1280=0.25
-->a4/a3=80/320=0.25
ration(r) =0.25
■■■a(n)=a1 × r^(n-1)■■■
a (5)=5120×0.25^(5-1)
a (5)=5120 × 0.25 ^(4)
a (5) = 5120 × 0.00390625
a (5) = 20
Find an equation in standard form of the parabola passing through the points.
(2, −8), (3, −8), (6, 4)
A rope is stretched tight between the tops
of two flag poles. One pole is 16 m tall, the
other is 8 m tall and they stand on level
ground 6 m apart. Find the rope's length.
m
Answer:
10 m.
Step-by-step explanation:
We have a triangle with hypotenuse h m (the rope's length) and one leg 16 - 8 = 8 m and the other 6 m.
So h^2 = 8*2 + 6^2 = 100
h = 10 m.
40 PTSS GUYS PLEASE DO THIS PROBLEM ILL GIVE BRAINLIST TOO!
Answer:
where are the problem?
Step-by-step explanation:
sorry no problem
ABCD is a quadrilateral. Select all the criteria that are sufficient to prove that ABCD is a parallelogram.
Line segment AB is congruent to line segment DC and Line segment is congruent to line segment BC.
Line segment AB is parallel to line segment DC
X is the midpoint of line segment AC and line segment BD
A parallelogram is a shape which has opposite sides to be equal and parallel. Therefore, the required properties that are sufficient for the prove are:
A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.
B. Line segment AB is parallel to line segment DC.
Quadrilaterals are four sided shapes. Examples are square, rectangle, parallelogram, trapezium etc. These have different or distinguishing properties.
A parallelogram is a figure that has its opposite sides to be equal in length and which are also parallel. This properties can be used to answer the given question.
Thus, the appropriate criteria that are sufficient to prove that ABCD is a parallelogram are:
A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.
B. Line segment AB is parallel to line segment DC.
Visit: https://brainly.com/question/3100335
A garden has several rows of pumpkin plants.Each row has 10 plants how many pumpkin plants could be in the. Garden what strategy would you use.
Answer:
since they are in groups of 10, there could be 10,20,30,40,50,60....
I hope it helps.
The total number of pumpkin plants could be 10y where, y is number of rows.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here it is given that :
Each row of garden has 10 plants
Let the number of rows of pumpkin plants be = y
Then the total number of pumpkin plants will be the multiplication of y and 10 that is : 10y
Therefore,The total number of pumpkin plants could be 10y where, y is number of rows.
Read more about expressions at :
https://brainly.com/question/12030750
#SPJ2
To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?
Answer:
1
Step-by-step explanation:
Answer:
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
Step-by-step explanation:
Set up a table (attached) that summarizes and organizes the data. Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school. We know that distance = (speed)*(time).
The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.
TRIPS
1 2
House/Shed A 6 18 km/hr
Shed/School B 15 27 km/hr
18'30" 10'10" min
18.5 10.16 min
0.308 0.169 hr [Convert the minutes into hours]
[The distance divided by the speed will give the time required for each segment, A and B].
Trip 1: 1) A/6 + B/15 = 0.308
Trip 2: 2) A/18 + B/27 = 0.169
Trip 1: A/6 + B/15 = 0.308
A + (6/15)B = 1.85 [Multiply each side by 6]
A = 1.85 - (6/15)B [Rearrange]
A = 1.85 - (0.4)B [This will be the defination of A we'll use in the second equation]
Trip2: A/18 + B/27 = 0.169
(1.85 - (0.4)B)/18 + B/27 = 0.169 [Use A= 1.85 - (0.4)B from above]
27(1.85 - 0.4B)/18 + B = 27*(0.169) [Multiply each side by 27]
1.5*(1.85-0.4B) + B = 4.58
2.78 - 0.6B + B = 4.58
0.4B = 1.85
B = 4.47 km
Now use B = 4.47 km in either original equation to find A.
A/18 + B/27 = 0.169
A + (18/27)B = 18*(0.169) {Multiply both sides by 18]
A + (0.67)B = 3.042
A + (0.67)(4.47) = 3.042
A + (2.98) = 3.042
A = 0.062 km
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
1002828197382728173927937294729929382991divided by 182883929190.837283828281-737273728377273737272
Answer:
4.766141725565771e23
Step-by-step explanation: it is impossibel to explane so coculated it and i got 4.766141725565771e23. so there you go.
The length of the bottom of the triangle is x. Another side is 2 more than three times the length of the bottom of the triangle the last side is 5 more than the bottom of the triangle write and simplify and expression for the perimeter of the triangle
Answer:
5×x×2× base× high u see me