[tex]\large\boxed{Answer:}[/tex]
We will use trigonometric identities to solve this. I will use θ (theta) for the angle.
First of all, we know that cotθ = 1/tanθ. This is a trigonometric identity.
We can replace cotθ in the expression with 1/tanθ.
[tex]sin\theta tan\theta sec\theta \frac{1}{tan\theta}[/tex]
Simplify: 1/tanθ * tanθ = tanθ/tanθ = 1
So now, we have:
[tex]sin\theta sec\theta[/tex]
Next, we also know that secθ = 1/cosθ. This is another trigonometric identity.
We can replace secθ with 1/cosθ in our expression.
[tex]sin\theta \frac{1}{cos\theta}[/tex]
Simplify:
[tex]\frac{sin\theta}{cos\theta}[/tex]
Our third trigonometric identity that we will use is tanθ = sinθ/cosθ.
We can replace sinθ/cosθ with tanθ.
Now we have as our final answer:
[tex]\large\boxed{b.\ tan\theta}[/tex]
Hope this helps!
Answer:
[tex] \huge \boxed{ \boxed{ \red{b) \tan( \beta ) }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASgiven:[tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex]tips and formulas:[tex] \tan( \theta) = \dfrac{ \sin( \theta) }{ \cos( \theta) } [/tex][tex] \cot( \theta) = \dfrac{ \cos( \theta) }{ \sin( \theta) } [/tex][tex] \sec( \theta) = \dfrac{1}{ \cos( \theta) } [/tex]let's solve:[tex] \sf rewrite \: \tan( \beta ) \: as \: \dfrac{ \sin( \beta ) }{ \cos( \beta ) } : \\\sin (\beta ) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \sec (\beta ) \cdot\cot (\beta)[/tex][tex] \sf rewrite \: \sec( \beta ) \: as \: \dfrac{1 }{ \cos( \beta ) } : \\\sin (\beta) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot\cot (\beta)[/tex][tex] \sf rewrite \: \cot( \beta ) \: as \: \dfrac{ \cos( \beta ) }{ \sin( \beta ) } : \\\sin (\beta) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \dfrac{ \cos( \beta ) }{ \sin( \beta ) }[/tex][tex] \sf \: cancel \: sin : \\\sin (\beta) \cdot\frac{ \cancel{\sin( \beta ) }}{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \dfrac{ \cos( \beta ) }{ \cancel{\sin( \beta ) }} \\ \sin (\beta) \cdot\frac{ 1 }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \cos( \beta ) \\ [/tex][tex] \sf cancel \: cos : \\ \sin (\beta) \cdot\frac{ 1}{ \cos( \beta ) } \cdot \frac{1}{ \cancel{ \cos( \beta )} } \cdot \: \cancel{ \cos( \beta ) } \\ \\ \sin( \beta ) \: \cdot \: \dfrac{ 1 }{ \cos( \beta ) } [/tex][tex] \sf \: simplify \: multipication : \\ \dfrac{ \sin( \beta ) }{ \cos( \beta ) } [/tex][tex] \sf use \: \frac{ \sin( \beta ) }{ \cos( \beta ) } = \tan( \beta ) \: identity : \\ \therefore \: \tan( \beta ) [/tex]Ticket sales for the next two days are 55 tickets and 68 tickets. Which statement about the data is true?
a
The range stays the same.
b
The range increases by two.
c
The range decreases.
d
The range doubles.
Ticket sales for the next two days are 55 tickets and 68 tickets. The range doubles. The correct option is d.
What is Range?The range of a dataset is the difference between the highest and lowest values. The highest value here is 68, and the lowest value is 55. As a result, the range is 68 - 55 = 13.
The range in statistics refers to the difference between the highest and lowest values in a dataset. It is a measure of dispersion that indicates how dispersed the data is.
The range is a quick and simple way to determine how much variability exists in a dataset. It is, however, influenced by outliers or extreme values in the dataset.
The range doubles because the highest and lowest values are the same on both days.
Thus, the correct option is d.
For more details regarding range, visit:
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Which pair of triangles can be proven congruent by SAS?
Answer:
top choice
Step-by-step explanation:
For SAS, you need a side followed by an angle followed by another side of one triangle to be congruent to the corresponding parts of another triangle.
The top choice shows side-angle-side.
The middle choice shows angle-side-angle.
The bottom choice shows side-side-side.
Answer: top choice
1. -10(-0.32 - 0.2)
Plz help
Answer:
5.2 would be the answer
find the median for 24 27 17 19 23 39 20 29 33 33
Answer:
25.5
Step-by-step explanation:
Median calulater
i need help with everything please if you help you are a legend
Answer:
you got this
Step-by-step explanation:
go with your gut and you sure can win
Answer:
I can help.
Step-by-step explanation:
3a is closer to 1, because 12/12 is 1. and 6/12 is 1/2
3b is closer to 0, because 0/6 is o. and 3/6 is 1/2.
3c is 1 and 1 1/12
11/12 + 1/6
find the common denominator. 12. 6×2 and 1×2 then add straight across.
Aldos coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Aldo $4.15 per pound, and type of B coffee costs $5.25 per pound. This month, Aldo made 119 pounds of the blend, for a total cost of $548.85. How many pounds of type B coffee did he use?
Let A represent amount of Type A coffee pounds used.
Let B represent amount of Type B coffee pounds used
A + B = 156
B = 156 - A
A = 156 - B
5.80A + 4.65B = 826.60
580 (156 - B) + 4.65B - 826.60 = 0
904.8 - 5.80B + 4.65B - 826.60 = 0
904.8 - 1.15B - 826.60 = 0
78.2 - 1.15B = 0
78.2/1.15 = 1.15B/1.15
68 = B
B = 68 pounds of Type B coffee
There's many more steps you can take to check and etc but am too lazy to put down sorry.
Find the area A of the sector of a circle of radius 50 feet formed by the central angle
5
radian.
Answer:
[tex]A=6250\ feet^2[/tex]
Step-by-step explanation:
Given that,
The radius of circle, r = 50 feet
The central angle, [tex]\theta=5\ radian[/tex]
We need to find the area of the sector of a circle. The formula for the area of sector is given by :
[tex]A=\dfrac{1}{2}r^2\theta\\\\=\dfrac{1}{2}\times 50^2\times 5\\\\A=6250\ feet^2[/tex]
So, the area f the sector of the circle is [tex]6250\ feet^2[/tex].
Solve for x................
Answer:
x = 17
Step-by-step explanation:
Use the interior angle sum theorem which says:
if n is the number of sides the sum of the interior angles is 180(n-2)
there are 6 sides, so the interior angle sum is 180(6 - 2) = 180 * 4 = 720.
This means that if you add all the angles you will get 720, so:
[tex]110 + 8x - 1+5x+36+116+7x+19+6x-2=720[/tex]
[tex]26x+278=720\\26x = 442\\x = 17[/tex]
Laura had a toy robot collection. 4/7 of her 28 robots make noise. How many of Laura’s robots make noise? If you guys answer can you please do show you work.
Answer:
4/7 of 28 robots is 16.
Step-by-step explanation:
This is because 4/7 is equal to 16/28 when you simplify it. multiply 7 by four and you get 28 as your denominator and 16 as your numerator.
ill mark brainlist plss help
Answer:
The light because it uses it with water and carbon dioxide to do photosythesis and use gluose for energy
Step-by-step explanation:
in January 2010, Diana invested $4,500 in an account that paid interest compounded annually. the table showstopper balance of the account at different times. what was Diana's balance, in dollars and cents, in January 2014. the numbers on the table are, For the month Jan. 2011-$4,635.00
Jan. 2012-$4,774.05
Jan. 2013-$4,917.27
Answer:
500,000
Step-by-step explanation:
80-1
What transformation rule would represent a shift of 3 units to the left 4 units down?
Group of answer choices
(x,y) –> (x – 4, y – 3)
(x,y) –> (x – 3, y – 4)
(x,y) –> (4x, 3y)
(x,y) –> (x + 3, y + 4)
Given:
Shift of 3 units to the left 4 units down.
To find:
The transformation rule.
Solution:
The rule of transformation is
[tex](x,y)\to (x+a,y+b)[/tex] ...(i)
Here, a<0 if the figure shifts a units left and a>0 if the figure shifts a units right.
Similarly, b<0 if the figure shifts b units down and b>0 if the figure shifts b units up.
If a transformation represents shift of 3 units to the left 4 units down, then a=-3 and b=-4.
Putting a=-3 and b=-4 (i), we get
[tex](x,y)\to (x+(-3),y+(-4))[/tex]
[tex](x,y)\to (x-3,y-4)[/tex]
Therefore, the correct option is B.
help asap i will get yelled at =( this is going to give yoyu 42 points
Answer:
24+24=48
Step-by-step
24+24=48
Answer: first pic: true. second pic: is D. third pic: false. forth pic: C.
Step-by-step explanation:
Determine the length of the diagonals of the isosceles trapezoid below when KL= h+7 and UE= 4h-25
Answer:
KL= 17.67 unit
UE = 17.67 unit
Step-by-step explanation:
Given:
Diagonals
KL= h+7
UE = 4h-25
Find:
Length of diagonals KL and UE
Computation:
We know that in isosceles trapezoid the length of diagonals are equal
So,
KL = UE
h+7 = 4h-25
3h = 32
h = 10.67
So,
KL= h+7
KL= 10.67+7
KL= 17.67 unit
UE = 4h-25
UE = 4(10.67)-25
UE = 17.67 unit
Maya bought T-shirts for $24. Each T-shirt cost $4. How many T-shirts did
she buy
Answer:
6
Step-by-step explanation:
24/4 = 6
hope this helps
A biologist is growing a population of bacteria for a study. The number of millions of bacteria in the population is modeled by a function, f(x), where x is the number of days since yesterday. The table shows values of f(x) for different values of x.
x f(x)
−2 3.25
−1 3.5
0 4
2 7
4 19
The function f(x) can be represented by the equation f(x)=ax+b. Enter the value for a and b in the equation f(x)=ax+b.
Answer:
y = 2x
Step-by-step explanation:
Complete a table of values for –2 < x < 2. Connect the points on the graph with a smooth curve.
3/2 inches snow fell in 3/4 of an hour which two statements are true
Answer:
I don't see the two statements
Step-by-step explanation:
Answer:
A and E Usa test prep
Step-by-step explanation:
I know it might be late by now but this is for the people who are searching for the answer for the future
Answer this correctly I’ll give u brainalist + 10 points
B
Step-by-step explanation:
it is the only one that has angles that are right next to eachother!
can you solve these please and show your work
a spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.
What is the theoretical probability of landing on T?
What is the experimental probability of landing on a consonant?
Compare the theoretical probability to the experimental probability of landing on H.
Answer:
there's four of them so it's a movie 25 / 100 would be the probability of landing on them
The experimental probability of landing on a consonant is more than the theoretical probability of landing on T because P(T) = 1/4 is less than P(Consonant) = 79 / 100.
What is probability?The probability is given as,
P = (Favorable event) / (Total event)
A spinner with four equal-size sections marked M, A, T, and H is spun 100 times. The results are shown below.
Section Frequency
M 28
A 21
T 26
H 25
The theoretical probability of landing on T will be given as,
P(T) = 1/4
P(T) = 25/100
The experimental probability of landing on a consonant is given as,
P(Consonant) = 79 / 100
The experimental probability of landing on a consonant is more than the theoretical probability of landing on T.
More about the probability link is given below.
https://brainly.com/question/795909
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PLEASE HELP which number line represents the solution to |x-5|< 3 ?
What is the perimeter of square ABCD?
This is how you do it.
Use the distance formula to find the distance from A to B, B to C, C to D and D to A. Then add up all 4 distances to find the perimeter.
Calcular en E
1231213123312312312123 123213213123
Answer:
9
Step-by-step explanation:
E = √ [ 5² + 2×( [tex]\frac{2}{3}[/tex] )² + ( [tex]\frac{1}{3}[/tex] )² + 7² + 6 ] = √(25 + [tex]\frac{8}{9}[/tex] + [tex]\frac{1}{9}[/tex] + 49 + 6) = √81 = 9
Type your answer in the box.
r = 3 d = 5
Answer: 8.5
Step-by-step explanation:
I just took the quiz last week.
a number added to one third of itself equals 12 . what is the number
Answer:
9
Step-by-step explanation:
x+1/3x=12
(3x+1x)/3=12
4x/3=12
4x=12×3
4x=36
x=36/4
x=9
Answer:
1/3+x=12(cross multiply)
x+1=12*3
x+1=36(collect like terms)
x=36-1
x=35
Plzzz helpppp!!! (Plz include steps in answer so Ik how to do it!) Given vectors u = (4,4) and v = (-1,2), find the sum u + V and write
the result in component form.
Ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which Ben agreed to pay $215 per month. Which of the following statements best gives the reasons that Ben’s rent payment is an essential (fixed) expense?
Answer:
It is by contract the same amount every month.
Step-by-step explanation:
The zoo has 4 tigers and plans to adopt more tigers soon. Gabby meets with Chloe, the manager of the tiger exhibit, to discuss the tigers’ habitat. They want to make sure there is enough space for the new tigers.
The Natureland Zoo has these requirements for a tiger habitat:
The trees, feeding station, and drinking station need at least 300 square feet all together.
Each tiger needs at least 225 square feet of space.
How many square feet of space is the zoo required to have for 4 tigers? Show your work.
Answer:
multiple 4×225 because there are 4 tigers and one Tiger needs 225 square feet so mutiple 4×225 and you got 900 so the answer will be 900 square feet
HELP PLEASE PLEASE I WILL GIVE BRAINLIEST
In the top the "f(x)" equals 9, now they are asking you to add onto the 9 by 1 causing it to be 10. If you did the first few you would have noticed that it takes 9 in order to get to 5 from -4.
here are the answers btw:
5th grade math. correct answer will be marked brainliest.
Answer:
7 1/3
Step-by-step explanation:
The answer is in the simplest form already.
Rewrite the equation:
2 + 1/2 - 9 - 5/6
2 - 9 = -7 (negative 7)
1/2 minus 5/6 = ?
Find LCD of 1/2 and 5/6 and rewrite to solve.
3/6 is the LCD, so:
3/6 - 5/6 = -2/6
-2/6 = -1/3
So, the answer is:
-7 -1/3 = 7 1/3
Mark brainliest please!
:DDDD