[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]f(x)=3x(x^2+4x-5) evaluate f(-2)
Answer:
f(-2) = 54
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
f(x) = 3x(x² + 4x - 5)
f(-2) is x = -2
Step 2: Evaluate
Substitute in x [Function]: f(-2) = 3(-2)[(-2)² + 4(-2) - 5][Brackets] Evaluate exponents: f(-2) = 3(-2)[4 + 4(-2) - 5][Brackets] Multiply: f(-2) = 3(-2)[4 - 8 - 5][Brackets] Subtract: f(-2) = 3(-2)[-4 - 5][Brackets] Subtract: f(-2) = 3(-2)(-9)Multiply: f(-2) = -6(-9)Multiply: f(-2) = 54When a certain kind of bacterium takes a step, it moves 3 x 10^-7 meters. When
Joe takes a step, he moves 0.75 meters. How many times larger is Joe's step
than the bacterium's step?
Joe's step is[ ] x 10^[ ]
times larger than the bacterium's step
Answer:
Step-by-step explanation:
0.75/(3*10^(-7)) = 0.25*10^7 = 2.5*10^6
work out the value of angle x 24 degrees
Answer:
180=2x+ 24( angles opposite to equal sides)
156/2=x
x=78
Step-by-step explanation:
The value of x from the triangle is given by the equation x = 78°
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the triangle be represented as ABC
Now , the measure of angle ∠A = 24°
It is an isosceles triangle with ∠B = ∠C
So , the measures of the two angles are the same
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Substituting the values in the equation , we get
x + x + 24° = 180°
On simplifying the equation , we get
2x = 156°
Divide by 2 on both sides of the equation , we get
x = 78°
Hence , the measure of x = 78°
To learn more about isosceles triangle click :
https://brainly.com/question/1900674
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John multiplies 85 by 1.35. Which number might John be trying to find?
A. 135% of 85
B. 35% of 85
C. 13.5% of 85
D. 1.35% of 85
Answer:
A. 135% of 85
Step-by-step explanation:
When you find the percent of something, you multiply it by 100, so 1.35 ÷ 100 is 135
Plz help with this one I have ten minutes to turn it in! Will give u points! And mark u BRAINLY
Step-by-step explanation:
[tex]f(\pi) = - 3 \\ f( \frac{\pi}{2} ) = 0 \\ f( - \frac{3\pi}{2} ) = 0[/tex]
Find the value that makes the proportion true.
Answer:
can not see page
Step-by-step explanation:
Suppose that F(x) = x2 and G(X) = 3x2 + 8. Which statement best compares
the graph of G(x) with the graph of Fx)?
Answer:
the answer is B
Step-by-step explanation:
see the image!
Give Brillianst please!!!!!
Answer:
It’s actually d
Step-by-step explanation:
Find the slope of the line that passes through the two points. (-3, -4), (6, 8)
Answer:
Step-by-step explanation:
let (x1 , y1) = ( - 3, - 4) and (x2 , y2) = ( 6 , 8)
Slope (m)
= y2 - y1 / x2 - x1
= 8 + 4 / 6 + 3
= 12 / 9
= 4/3
Solve the problem 8 - 2 9/14=
blank divided 2/3 = 9/10
Answer:3/5
Hope this help :)
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
I'm only sure about the second one
Answer:
Yes
Step-by-step explanation:
(2, 1) is a solution to the given system of linear equations.
x + 16y = 2 + 16*1 = 2 + 16 = 18
2x + 11y = 2*2 + 11*1 = 4 + 11 = 15
please help 7m - 10 - 4m + 3
Step-by-step explanation:
7m - 10 - 4m + 3
3m-7
Hope it helps
HELP! WILL GIVE BRANLIEST! + EXTRA POINTS!
Answer:
707 bags of sand
Step-by-step explanation:
To find the area all you have to do is add 40+5+5=50 then you split that in half to get the radius. The you use the area formula to get the entire shape and the get the radius of the smaller circle. Then, you subtract the small circle from the big circle to get the amount of sand needed. When you do that you should get 706.86 but since you need a whole number you would round up to 707
FIRST TWO PLEASE, HELP ASAP! THANK YOU SO MUCH I WILL MARK AS BRAINLIEST!!!
Answer:
Th answer to the first question is 18+6=24 the answer to the second question is 9 weeks
Please mark me brainliest!
i need help with this pls.
Answer:
The answer is D
Step-by-step explanation:
Plug all of the numbers in and they all work with the problem.
What is the explicit rule for the arithmetic sequence? 20.5, 16, 11.5, 7, 2.5, ...
Answer:
To determine the explicit rule for the arithmetic sequence of 20.5, 16, 11.5, 7, 2.5, ..., the following logical reasoning must be performed:
20.5 - 16 = 4.5
16 - 11.5 = 4.5
11.5 - 7 = 4.5
7 - 2.5 = 4.5
Thus, the explicit rule of the arithmetic sequence is that the numbers are gradually subtracted by 4.5, with which the next number of said sequence would be -2.
Olivia has 1/2 pound of raisins. She plans to eat them for snacks over the next 6 days. If she eats the same amount each day, What fraction of a pound of raisins will she eat each day
Answer :
1/12
Step by step :
Pounds of raisins : 1/2 = 0.5
Number of days : 6
Pounds of raisins she will eat every day :
0.5 ÷ 6 = 0.83333... = 1/12
Solve: 0=-x2+2x+8
[tex]0=-x2+2x+8[/tex]
Answer:
x = 4
x = -2
Step-by-step explanation:
Which of the lines below has a negative slope?
A
B
6
-5
15
6
10
5
D
5
5
Pls help me plssss plsssss
Answer:
B
Step-by-step explanation:
how many 1/2's in 4? thats how many bows so 4 ÷ 1/2
Answer:
it's b.
debbie can make 8 bowls
PLEASE HELP‼️‼️
A
B
C
D
Answer:
C i think
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
use the side splitter theorem
6/12 = x/18 (replacing AQ with x)
12x = 108 (cross multiply)
x = 9
Simplify the expression:
2n + 10(9 + 4n)
Answer:
42n+90
Step-by-step explanation:
Paul has some money in his wallet, all in $1 bills. He buys a hat and has $6 left, as shown in
the model below.
How much did Paul pay for the hat?
Enter your answer in the box.
Answer:
we need to see the model
Step-by-step explanation:
model please
help 10 points to solve please
Answer:
A, B, & C are true.
Hope this helps & have a great rest of your day!
Answer:I believe the answer is A,B,C
Step-by-step explanation:
WILL MARK BRAINLELIST HELPPPP ME
Answer:
17
Step-by-step explanation:
180 - 5 - 5 = 170 : 2 = 85 : 5 = 17
Find n(E), given that n(C×E)=18 and C={4,5,6}
Answer:
ncx(2.718282)=18;c=456
ncx(2.718282)=18;c=456
How many minutes is 65% of 3 hours? ____ just write the number part of the answer.
Answer:
117
Step-by-step explanation:
There are 60 minutes in each hour, and to find how many minutes there are in 3 hours you would have to multiply 3 x 60.
3 x 60 = 180
To find 65% of 180 you can use the equation
65 x 180/100
65 x 180 divided by 100 is 117.
Factorise
1) 9a^2 - 6a
Answer:
9a^2 - 6a
taking common
3a(3a-2)
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:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
One solution
Step-by-step explanation:
Basicly its just seeing if x can be anything, nothing or one thing so x · 0 = 0 has infinite answers, 4x + 6 = 11 has one solution, and 0x = 5 has no solution