Answer:
sina
Step-by-step explanation:
Using the cofunction identity
cos(90 - x) = sinx , then
cos(120 - (30 + a) )
= cos(120 - 30 - a)
= cos(90 - a)
= sina
An expression is defined as a set of numbers, variables, and mathematical operations. Using a cosine function identity cos(120° − (30° + a)) can be written as sin a.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given cosine expression can be rewritten as,
cos(120° − (30° + a))
Opening the bracket, to simplify the angle,
= cos(120° − 30° − a)
= cos(90° − a)
Since the cosine and sine angles are complementary to each other, therefore, cos(90° − x) = sin(x), thus, we can write the expression as,
= sin a
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A square has a side length of 6x+2. a rectangle with width 3x+1 has the same area as the square. what is the length of the rectangle?
Answer:
2
Step-by-step explanation:
(6x+2)/(3x+1) = 2
The quadrilateral shown is a rhombus. What is m∠4?
A) 28°
B) 32°
C) 58°
D) 90°
In a rhombus, both pairs of opposite angles are congruent
so m<4=32 degrees
so your answer is 32 DEGREES
Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?
Answer:
[tex]-\frac{7}{25}[/tex]
Step-by-step explanation:
Value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
What is trigonometric ratio?" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."
Identity used
[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]
According to the question,
Given value of trigonometric ratio,
[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]
Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,
[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]
Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex] the trigonometric identity ,
[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]
Hence , value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
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The measure of angle JKL can be represented using the expression 3x + 5.
Answer:
The measure of ∠JKL is 65°
Step-by-step explanation:
Consider the provided diagram.
We need to find the degree measure of ∠JKL.
It is given that ∠JKM=45° and ∠MKL=x°
Also it is given that the measure of angle JKL can be represented using the expression 3x + 5.
Thus ∠JKL=3x+5
From the figure it can be concluded that ∠JKL is equal to the sum of ∠JKM and ∠MKL
This can be written as:
∠JKL = ∠JKM+∠MKL
Substitute the respective values in the above equation.
3x+5 = 45+x
Subtract x and 5 from both the sides.
3x+5-x-5 = 45+x-x-5
2x = 40
x = 20
Thus, the measure of ∠MKL=20°
Substitute the value of x in ∠JKL = 3x+5.
∠JKL = 3(20)+5
∠JKL = 60+5
∠JKL = 65
Hence, the measure of ∠JKL is 65°
What is the answer to this????
Answer:8
Step-by-step explanation:
Answer:
8 rows of art
Step-by-step explanation:
54 equals 9 more than a number $t$ .
Answer:54 = t + 9
Step-by-step explanation:
try ur best
FRIEND ME :p
Answer:
6Step-by-step explanation:
If Kevin has 4 more points
than Carl, and then Tom has
2 fewer points than Carl, then Kevin
had 6 more points than all of Tom's points.
Hope this helps! <3
10 POINTS!!!
PLEASE HELP:(
I know it’s really easy but i’m super confused. Can anyone help???
Answer:
t=1/5d
Hope this helps! :)
For the function, f(x) = x - 2, find x if f(x) = -1.
Xander goes to the movies with his soccer team. Each team member buys a ticket and two
boxes of popcorn. There are 13 team members.
Let t represent the cost of a ticket and p represent the cost of a box of popcorn.
a) Write two different expressions that represent the total amount the team spent.
b) Explain how each expression describes the situation in a different way.
Given that, the cost of a ticket = t and
cost of a box of popcorn = p.
Total members in the team = 13
As each team member buys 1 ticket and 2 boxes of popcorn, so, the amount spent by one member, [tex]C_1 = t+2p[/tex]
So, the total amount that the team spent [tex]= 13C_1[/tex]
(a) So, the first expression, representing the total amount spent by the team, is
[tex]13\times (t+2p)\cdots(i)[/tex]
On simplification, the second expression, representing the total amount spent by the team, is
[tex]13\timest + 13\times (2p)[/tex]
[tex]=13t+26p\cdots(ii)[/tex]
(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn
You want to buy a new case for your iPhone. The case is $37 and the tax is 6%. WHAT IS THE TOTAL?
Answer:
$39.22
Step-by-step explanation:
The case costs $37. $37 is 100% of the price of the case.
The tax is 6% of the cost of the case. When you add 6% to 100% you get 106%.
The total price including tax is 106% of the price of the case.
106% of $37 = 1.06 * $37 = $39.22
Answer: $39.22
What is the difference in solution in an equation and in an inequality?
Answer:
The variable in an equation is fully equal to the solution. In an inequality, the variable is a number, but it can also be less than or greater than a number. Some solutions in an inequality even have the variable less than or equal to or greater than or equal to.
Hope you understood a little bit...have an amazing day C:
Find the missing numbers:
X² + 9x + 14 = (x + 2)(x + ?)
write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.
у вас всё правильно вы молодцы
Write four different equations that have –3 as the solution.
Pls help I'll mark u brainliest
Answer:
1-4
2-5
3-6
4-7
Step-by-step explanation:
Answer:
1 ) 5 - 82 ) -9 + 63 ) 6 ÷ -24 ) 1 × -3Step-by-step explanation:
5 - 8 = -3
-9 + 6 = -3
6 ÷ -2 = -3
1 × -3 = -3
You can check the calculator if you don't believe me!
Hope this helps! <3
what is the slope of (19,14) & (21,19)
Step-by-step explanation:
Hey there!
Given; The points are; (19,14) and (21,19).
Note: Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{19 - 14}{21 - 19} [/tex]
Simplify it.
[tex]m = \frac{5}{2} [/tex]
Therefore, slope(m)= 5/2.
Hope it helps...
Answer:
slope = 5/2
Step-by-step explanation:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]\frac{19-(14)}{21-(19)}[/tex]
m=[tex]\frac{5}{2}[/tex]
You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Answer:
2x + 4y = 110
Step-by-step explanation:
Let
The quantity of small tables = x
The quantity of large tables = y
The smaller tables can fit 2 people, the larger tables can seat 4 people.
Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.
Number of people×quantity (small table) + number of people×quantity (large table) = 110
2x + 4y = 110
Look at the table
What is the ratio of cows to horses?
pwease help me
Answer:
5:8 is the ratio of cows to horses.
Cells are made up of?
Group of answer choices
organs
minerals
animals
organelles
Answer:
organaelles can i have brainlyest?
ik i didnt spell right
Step-by-step explanation:
The circumference of a circle can be found by multiplying Pi by the diameter True False
Answer:
True
Step-by-step explanation:
You can find the circumference by multiplying Pi and the diameter.
Answer:
True. And if you only know the radius, multiply the radius by two to get the diameter.
Tyler bought a jacket regularly priced $35.00.
With a 30% markdown and a sales tax of 6%, approximately what is the cost of Tyler's jacket?
Answer:
$25.97
Step-by-step explanation:
You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.
to get the price after markdown multiply $35.00 by 7/10 which equals $24.5
Multiply $24.5 by .06 to get the sales tax which is $1.47
So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97
The cost of Tyler's jacket is $23.03.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Tyler bought a jacket regularly priced $35.00.
With a 30% markdown, the cost of jacket is
30% of 35
= 30/100 ×35
= 0.3×35
= 10.5
So, the cost of jacket is 35-10.5=$24.5
Now, sales tax on $24.5
That is, 6% of $24.5
= 6/100 ×24.5
= 0.06×24.5
= 1.47
Cost of jacket is 24.5-1.47
= $23.03
Therefore, the cost of Tyler's jacket is $23.03.
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what place does the three sit at in 43,628,698,591
Answer:
Billion
Step-by-step explanation:
In 43,628,698,591 the three is in the Trillion spot.
One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.
There are 9 #’s after the 3 which means it is billions :)
Identify the axis of symmetry of the parabola.
Answer:
AOS: x = -1
Vertex: (-1, -2)
Step-by-step explanation:
Indentify the turning point of the graph with is x = -1.
fill in the space to complete to equality:
3v-v²=v(__)
Answer:
3v-v² = v(3-v)
Step-by-step explanation:
Use distributive property on the right side of the equality.
log4 x + log4 (x – 3) = 1 Solve the equation.
Answer:
x is EQUIVALENT to 2.89
Step-by-step explanation:
Helppp!!!!! Plz!! Thank you!!!!!!!
Answer:
third option
Step-by-step explanation:
set all the x's equal to zero
If Kiran solves the equation for p, which equation would result?
Answer: i have a answer but it is not up there srry
Step-by-step explanation:
2y + 4 = x + 2
Plz help solve for x in terms of y
Answer:
x=2y+2
Step-by-step explanation:
Answer:
2y + 2 = x
Step-by-step explanation:
Treat is like a normal equation and solve with inverse operations:
2y + 4 = x + 2
-2 -2
2y + 2 = x
What is the unit rate for the number of hours charged?
Answer:
4.09
Step-by-step explanation:
just divide the given price by the hours
Write the number as a power of 5. 125^3
Answer:
5^9
Step-by-step explanation:
125=5*5*5
125^3=125*125*125
125*125*125=3*(5*5*5)
the answer 5^9
The number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.
What is the power rule?The power rule states that, when the term is raised with a power which is again raised by another power, then this can be simply written as one power by multiplying both the power.
It has to write the number 125³ as a power of 5. Let the resultant number as a power of 5 is n. Thus,
[tex]n=125^3[/tex]
Rewrite the number with multiples of 125.
[tex]n=(5\times5\times5)^3\\n=(5^3)^3[/tex]
By the power rule, the above expression can be rewritten as,
[tex]n=(5)^{3\times3}\\n=(5)^{9}\\n=5^9[/tex]
Thus, the number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.
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