Answer:
3/2
Step-by-step explanation:
sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =
[tex]\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\[/tex]
Use [tex]\cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1[/tex]
so
[tex]\cot^2(\frac{3\pi}{4}-\beta)=\frac{1}{\sin^2(\frac{3\pi}{4}-\beta)}-1 = \frac{1}{\frac{2}{5}}-1=\frac{5}{2}-1=\frac{3}{2}[/tex]
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
(x+3)^3 positive shift 1st then cube it
Which algebraic property is used to rewrite (3 m) y as 3 (m y)? Distributive property Commutative property Associative property of multiplication Associative property of addition.
Answer: Associative property of multiplication as it is showing that the value does not change although you move the parentheses.
Step-by-step explanation:
Please Help!
Amelia has 6/12 of sand in her bucket. Alex has 3/9 of sand in his bucket. Who has more and by how much??
Answer:
Amelia has more she has 1/2 and Alex has 1/3
What is the area of the rectangle?
Answer:
1/3
Step-by-step explanation:
2/5 times 1/3 equals 1/3
16/3 as a decimal value.
Answer:
16 / 3 = 5.33333....
Step-by-step explanation:
its the accurate answer
pls brainliest
answer then get brainliest :)
Answer:
[tex] \frac{2}{5} = \frac{6}{15} = \frac{12}{45} [/tex]
PLEASE ASAPPPPP I NEED TO SUBMIT IT NOWWW
Answer: See below
Step-by-step explanation:
a) For call duration of 100min. Plan A costs less as we can see from the graph.
Plan A = $12 and Plan B = $18 So, it costs $6 less
b) For call minutes of 250 both plans cost the same.
After this point Plan A becomes costlier
What is 900 times 900
Answer:
810000 is your answer
Step-by-step explanation:
9x9=81 and the 4 0's
What is the length of the hypotenuse of the triangle when x=10?
The length of the hypotenuse is about
Answer:
84 (nearest whole number)
Step-by-step explanation:
If x = 10,
Longest leg = (7 x 10) + 4 = 74
Shortest leg = 4 x 10 = 40
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):
⇒ 74² + 40² = c²
⇒ 7076 = c²
⇒ c = √7076 = 84.11896...
⇒ hypotenuse = 84 (nearest whole number)
Answer:
84
Step-by-step explanation:
[tex] \sqrt{ {(40)}^{2} + {74}^{2} } = 84.1[/tex]
A storage trunk is 40 inches wide by 28 inches deep by 36 inches high. What is the volume of the trunk?
Answer:
40 x 28 x 36 = 40,320. Hope this helped
For every 2 pages of a book that Bernice reads, Charmaine reads 3. When Charmaine
had 16 pages left, Bernice had 36. How many pages are there in the book?
Answer:
76
Step-by-step explanation:
Let x = number of pages
Since Charmaine had 16 pages left, subtract 16 from x to indicate that is the number of pages read like this: x - 16
Divide that by 3 like this: (x - 16)/3
Do the same for Bernice: (x - 36)/2
Make them equal to each other
(x - 16)/3 = (x - 36)/2
Cross multiply
2(x - 16) = 3(x - 36)
Distribute
2x - 32 = 3x - 108
Move like terms to the same side by subtracting 2x from both sides
2x - 32 = 3x - 108
- 2x - 2x
-32 = x - 108
Add 108 to both sides
-32 = x - 108
+ 108 + 108
x = 76
This means there are 76 pages in the book.
Verify the identity.
(cos x/1 + sin x) = sec x - tan x
Drag an expression into each box to correctly complete the verification of the identity.
Answer:
this are the answers
Step-by-step explanation:
The trigonometric value identity is solved (cos x/1 + sin x) = sec x - tan x
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
To verify the identity (cos x / (1 + sin x)) = sec x - tan x, we need to simplify the right-hand side of the equation using trigonometric identities and see if it matches the left-hand side.
sec x - tan x = 1/cos x - sin x/cos x = (1 - sin x)/cos x
On simplifying , we get
cos x / (1 + sin x) = cos x / (1 + sin x) * (1 - sin x)/(1 - sin x) = cos x * (1 - sin x) / (1 - sin²x)
Using the Pythagorean identity sin²x + cos² x = 1, we can substitute 1 - cos²x for sin²x in the denominator:
So , cos x / (1 + sin x) = cos x ( 1 + sin x ) / cos²x
On further simplification , we get
cos x / (1 + sin x) = cos x / cos²x + cos x ( sin x ) / cos²x
cos x / (1 + sin x) = ( 1/cos x ) + ( sin x / cos x )
From the trigonometric relations , we get
cos x / (1 + sin x) = sec x - tan x
Hence , the trigonometric equation is solved
To learn more about trigonometric relations click :
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#SPJ2
Which of the following sets of numbers could represent the three sides of a triangle?
Answer:
{ 14, 30, 33 }
Step-by-step explanation:
for the three sides to form a triangle.
The sum of any 2 sides > third side
{ 7, 22, 29 }
7 + 22 = 29 ← not greater than 3rd side, thus not form a triangle
{5, 7, 12 }
5 + 7 = 12 ← not greater than 3rd side, thus not a triangle
{ 8, 14, 24 }
8 + 14 = 22 < 24 ← sides do not form a triangle
{ 14, 20, 33 }
14 + 20 = 34 > 33
14 + 33 = 47 > 20
20 + 33 = 53 > 14
Thus the sides form a triangle
Sarah's brother is 12 less than twice her age. If Sarah is 16, what equation represents this situation?
The equation that can be used to represent the ages of Sarah and his brother will be 2x - 12 = 16.
How to solve the equationFrom the question given, Sarah's brother is 12 less than twice her age and Sarah is 16.
Let Sarah's age be represented by x.
Therefore, the equation to represent the situation will be:
= (2 × x) - 12 = 16
2x - 12 = 16
2x = 16 + 12.
2x = 28
x = 28/2 = 14
Sarah is 14 years.
Learn more about equations on:
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solve this
[tex] \sqrt[3]{27 \times 27 \times 27} [/tex]
thank you in advance
Answer:
[tex]\sf \sqrt[3]{27*27*27}[/tex] = 27
solving steps:
[tex]\sf \sqrt[3]{27*27*27}[/tex][tex]\sf \sqrt[3]{19683}[/tex][tex]27[/tex]note:
[tex]\large{\sqrt[3]{a * \ a * \ a} = a[/tex] [tex]\large{\sqrt[2]{a * \ a } = a[/tex]I do not know the answer for this, what is the answer?
Answer:
Reflection and then translation
Step-by-step explanation:
It is a reflection because it flips across and then a translation because it moves down. I hope this helps you.
Answer:
Reflection then translation.
Hope this helps!
What is the measure of x in triangle ABC?
A. 41°
B. 61°
C. 31°
D. 51°
Answer:D.51
Step-by-step explanation:180-68-61=51
Answer:
68+61+X=180°
129+X=180°
X=180°-129
X=51°
Explain about Pythagorean Theorem in your own words.
Without looking it up.
Answer:
The Pythagorean theorem just talks about the connection between the lengths of the sides of right triangles. Something like that i guess
Step-by-step explanation:
3(-8x+5)+35x=-2(5x+-2)
Answer: Your answer is -11/21 or -0.523809
Hope this helps!
Answer:
this is so confusing
Step-by-step explanation:
because it cofused
The area of a square is 64. What is the perimeter of the square?
Answer:
The perimeter is 32
Step-by-step explanation:
Area of square= a²
square root of 64= 8
Perimeter= 4x the square root
8x4=32
PQ is a straight line segment.According to the information marked in the figure, (I) Find the magnitude of PÔS. (ii) Find magnitude of SÔQ.
PLEASEEEEEEE HEELPPP!!
99 POINTS!! btw turn the attached picture upside down
Answer:
magnitude of PÔS = 60°
magnitude of SÔQ = 120°
note: a straight line has always 180°
solve for x:
PÔS + SÔQ = 180°3x + 2x + 80° = 180°5x = 180° - 80°5x = 100°x = 20°m∠POS
3x 3(20°)60°m∠SOQ
2x + 80°2(20°) + 80°40° + 80°120°So to find angle POS and SOQ we have to find value of x first.
[tex] \\ [/tex]
[tex] \rm \angle POS + \angle SOR + \angle ROQ = 180 \degree \\ [/tex]
Reason:-
Sum of angles on same line.
By the way it can be any number of angles but they should meet at same point. And their sum is always 180°. Remember linear pair? It is also same aspect but there will be only two angles.
[tex] \\ [/tex]
So:-
[tex] \\ [/tex]
[tex] \dashrightarrow \sf \angle POS + \angle SOR + \angle ROQ = 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 3x + 2x+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 5x+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 5x= 180 - 80 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf 5x= 100 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf x= \dfrac{100}{5} \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf x= \dfrac{5 \times 20}{5} \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf x= \dfrac{\cancel5 \times 20}{\cancel5} \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf x= \dfrac{1 \times 20}{1} \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \bf x=20\degree \\ [/tex]
[tex] \\ \\ [/tex]
Verification:-[tex] \\ [/tex]
[tex] \dashrightarrow \sf 3x + 2x+ 80= 180 \degree \\ [/tex]
Put value of x
[tex] \\ [/tex]
[tex] \dashrightarrow \sf( 3 \times 20) + (2 \times 20)+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf60 + (2 \times 20)+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf60 + 40+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf100+ 80= 180 \degree \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \bf180= 180 \degree \\ [/tex]
LHS = RHS
HENCE VERIFIED!
[tex] \\ [/tex]
Angle POS = 3xAngle POS = 3 × 20Angle POS = 60°Angle SOQ = 2x + 80Angle ROQ = 2 × 20 + 80Angle ROQ = 40 + 80Angle ROQ = 120°Which equation is equivalent to 10+2(x−1)+7x=3x+1?
Answer:
Answer is x = -7/6
Step-by-step explanation:
please look at the image
What is the missing reason in step 6? SSS congruency theorem CPCTC definition of a parallelogram opposite sides in a parallelogram are congruent.
For the two parallelogram to be congruent, their corresponding sides must be equal
Congruent figuresTwo figures are said to be congruent if they are of the same shape and their corresponding sides and angles are congruent to each other. The SSS congruency theorem states that two figures are congruent of all their sides are congruent.
For the two parallelogram to be congruent, their corresponding sides must be equal
Find out more on similar figures at: https://brainly.com/question/26173060
Answer: CPCTC
Step-by-step explanation:
edge 23
Brainliest!!!!!!!!!!!!!
Answer:
radius r = 240 in
diameter d = 480 in
circumference C = 1507.96447 in
area A = 180955.737 in2, so 1507 should be your answer.
Perform the calculation then
round to the appropriate number
of significant digits.
88.2 x 3.5742
Х
Hint: Look at the number that has the FEWEST sig figs to
determine how many sig figs should be in your answer.
(88.2 has 3 significant digits, so your answer should have
3 significant digits.)
Answer:
315
Step-by-step explanation:
You're welcome
Answer above is rounded btw
Full number is:315.24444
what is the sum of 5x - 6y + z and 5x - 6y - z
Answer:
solution,
5x-6y+z+5x-6y-z
(+z and -z will be cancelled)
now,
5x+5x-6y-6y
10x+ 12y( because 2 minus makes plus)
Please solve
Natalia paid $38.95 for three medium-sized pizzas and a salad. If Natalia paid $11.98 for the salad, how much did each pizza cost? Enter your answer in the box.
Answer:
$8.99
Step-by-step explanation:
$38.95- $11.98 = $26.97
$26.97 / 3 pizzas = $8.99
Solve the following equation
1x + 4 = 3x + 6
X=
Answer:
x= -1
Step-by-step explanation:
1x+4=3x+6
x+4=3x+6
x+4-4=3x+6-4
x=3x+6-4
x=3x+2
x-3x=3x+2-3x
-2x=2
-2x=2
-2/-2=2/-2
x= -1
what is the abbreviation for kilogram milligram millimeter Z liter second and gram
3. What is the measure of side LM?