Use trig identities to show that sec θ − cos θ = tanθ (sin θ)
Use [tex]\sec\theta = \dfrac{1}{\cos{\theta}}[/tex] to get
[tex]\sec\theta -\cos{\theta}= \dfrac{1}{\cos{\theta}}-\cos(\theta})[/tex]
Then find a common denominator:
[tex]\dfrac{1}{\cos{\theta}}-\cos(\theta}) = \dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta}[/tex]
But now make that one fraction:
[tex]\dfrac{1}{\cos{\theta}}-\dfrac{\cos^2\theta}{\cos\theta} = \dfrac{1 - \cos^2\theta}{\cos{\theta}}[/tex]
But that's just sin^2 on the top
[tex]\dfrac{1 - \cos^2\theta}{\cos{\theta}} = \dfrac{sin^2\theta}{\cos{\theta}} = \dfrac{sin\theta\cdot sin\theta}{\cos{\theta}}[/tex]
Split that fraction up:
[tex]=\dfrac{ sin\theta}{\cos{\theta}}\cdot sin\theta[/tex]
And tan = sin/cos
[tex]=\tan\theta\cdot sin\theta[/tex]
Point R is located at 8,13 where is R after a translation 8 units left and 6 units down
Answer:
On the Y axis
Step-by-step explanation:
Answer:
(0, 7)
Step-by-step explanation:
aight so its set up as (x,y). X on the graph is left and right while y is up and down. "8" means that the X is positive or to the right of the origin. If you go left, essentially you are subtracting. So 8-8=0. Same kind of idea for the Y axis. Up is positive, down is negative. If you're going down 6 from 13 (13-6) then you are at 7. (0,7)
Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn?
Answer:
$4.56
Step-by-step explanation:
y=5+2x when x=4, what does
/
y equal
Answer:
y = 13
Step-by-step explanation:
Y = 5 + 2x but when x = 4 you replace any X variables with 4
So the equation now is 5 + 2(4) = 5 + 8 = 13
y = 13
hope with helped :)
Victor's Video Arcade pays its employees $7.95 per hour for weekday hours and $9.25 per hour for weekend hours. How much will an employe
working six consecutive days for seven hours per day if the employee starts working on a Monday? $_.00
rations with Rational Numbers (Calculator Inactive)
tor's Video Arcade pays its employees $7.95 per hour for weekday hours and $9.25 per hour for weekend hours. How much will an employe
working six consecutive days for seven hours per day if the employee starts working on a Monday? $ X 463
V 343.00on 1
on with Rational Numbers (Calculator Inactive)
Video Arcade pays its employees $7.95 per hour for weekday hours and $9.25 per hour for weekend hours. How much will an employee earn
king six consecutive days for seven hours per day if the employee starts working on a Monday? $_.00
ions with Rational Numbers (Calculator Inactive)
; Video Arcade pays its employees $7.95 per hour for weekday hours and $9.25 per hour for weekend hours. How much will an employee earn working six consecutive days for seven hours per day if the employee starts working on a Monday?
Answer:
i can't understand ur question
Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) and (6,7).
Answer: y = -(4/3)x + 1
Step-by-step explanation:
Let's start with finding an equation of a straight line (y=mx+b) that goes through points (-2,1) and (6,7).
The slope of a line, m, is the change in y for the change in x, or Rise/Run.
This is derived from the two points.
Rise (7-1) = 6
Run (6 - (-2)) = 8
Rise/Run = 6/8 or 3/4
The line is therefore y = (3/4)x + b
Find b by using one of the two points. I'll use (-2,1), but the other would also work.
y = (3/4)x + b
1 = (3/4)(-2) + b
1 = -(6/4) + b
b = 10/4
The line becomes y = (3/4)x + 10/4
--------
A line perpendicular to this will have a slope that is the negative inverse of the original line. The negative inverse of (3/4) is -(4/3).
The perpendicular line will be:
y = -(4/3)x + b
Use point (-6,9) to find b:
y = -(4/3)x + b
9 = -(4/3)*(-6) + b
9 = (24/3) + b
b = (27/3 - 24/3) = 3/3 = 1
The line is y = -(4/3)x + 1
6. Find the interval(s) over which the function is constant
please help me!!
A. (-infinity, 1)
B. (3, infinity)
C. (-infinity, -2) U (3, infinity)
D. (-infinity, -2)
the answer is d!
Step-by-step explanation:
the constant line starts at (-2, 1) and goes on forever
Emma wraps a gift box in the shape of a right rectangular prism. The figure below shows a net for the gift box
Answer:
Step-by-step explanation:
the box is folded
Can trigonometric relationships be applied to non-right triangles? Explain your stance.
A few but not all .
Let's learn some trigonometric identities
[tex] \boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}[/tex]
Mr. Sayre purchased one can of peanuts and some apples. One can of peanuts cost $4. The apples cost $2 per pound. There was no tax on Mr. Sayre's purchase. Mr. Sayre spent $13.
How many pounds of apples did he purchase?
Answer:
He purchased 4 1/2 pounds of apples.
Step-by-step explanation:
Total of 13 dollars
One can of peanuts cost 4 dollars so subtract 4 from 13
You have 9 dollars that you spent on apples
if the apples cost 2 dollars per pound
divide
(how many times 2 can go in 9)
Only 4.5 (AKA 4 1/2)
9 divded by 2
he equation of the line of best fit relating age (in years) and the median height (in cm) of boys is given.
y = 6.5x + 75.5
Which statement below best interprets the slope in the context of the problem?
Answer:
proof: answer is 2/13
1 / 6.5 = m
m = 0.153846154
10/65 = m
m = 2/13
2/13 = m
m = 0.153846154
Therefore we could show multiplication proof
m = 10/65 = m = 2/13
2 x 5 = 10
13 x 5 = 65
Step-by-step explanation:
See attached graph of y = 6.5x+75.5
plotting the graph
1. Mark y intercept at 75.5 as given in the equation
2. find the slope to whole numbers
m = 10 across / 65 across = 6.5 slope
Mapping Pythagoras 10^2 +65^2 = c^2
sqrt 100 + sqrt 4225 = c^2
c^2 = sqrt 4225 = 65.7647322 = 65.8
0.7647322 / 65 = 0.0117651108 = 100th
65 + 0.0117651108 = 65.011765.....
Therefore 10 across / 65.0118 down
or 10 across / 65 down is another way to graph, as seen on graph.
m = 10/65 = m = 2/13
2 x 5 = 10
13 x 5 = 65
I believe that it’s c, but I’m
not certain… Can someone help me out?
Answer:
Yes, the answer is C {3,5,7}
Domain of a function is the input value and range is the result or output value that we get.
Please no links will mark brainiest for complete and correct answer.
question is in pic below
Answer:
(4x^5)^2 you just need to square 4x^5
Answer:
Step-by-step explanation:
one side = 4x^5
four sides of the square= (4x^5)^2
= (4x^5)* (4x^5)
=16x^10
Look at the picture. Please just look at the picture and then answer it.
Answer:
It's not quite clear from my side
Step-by-step explanation:
because I am having Internet connection problems and my phone is not functioning properly
i need help what is this?
solve for Y -2(y-3)+12y>16
Answer:
Y>1
Step-by-step explanation:
He has a coupon for $10 off any grooming service. He must pay an 8% sales tax, which is applied to the discounted price, and then added to find the total price. Estimate the total amount Paul paid at the dog groomer.
Answer:
Well since you didn't provide the initial cost im just going to use 100$ as the initial cost.
the service costs 100 dollars minus the coupon of 10 dollars so 90 plus the sales taxes it is (which is 7.20$) it leaves us with a total of 97.20 saving him 10.80$ if he did not use the coupon
Step-by-step explanation:
The length of the base of an isosceles triangle is x. The length of a leg is 5x – 3. The perimeter of the triangle is 60. Find x.
X
Answer: x = 6
Step-by-step explanation:
The perimeter of the isosceles triangle = 2 leg + base
Since the perimeter = 60
then 60 = 2(5x - 3) + x
60 = 10x - 6 + x
60 + 6 = 11x
6 = x
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?
Answer:$25.00
Step-by-step explanation:
Net Amount (excluding tax) $25.00
Tax (10.0%) $2.50
Gross Amount (including tax) $27.50
in short 10% tax of $25.00 is $27.50.
The required cost of the sweatshirt before tax s given as $24.50.
What is the percentage?The percentage is the ratio of the compositions of matter to the overall composition of matter multiplied by 100.
Here,
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%.
Cost of the sweatshirt before tax = 27.50 - 10% of 27.50
= 27.50 - 0.1× 27.50
= $24.50
Thus, the required cost of the sweatshirt before tax s given as $24.50.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ6
A car travel at an average speed of 60miles per hour on a trip. What is the car's speed in feet per second?
Answer:
88ft per second hope i helped
Write 360 as a product of primes.
Use index notation when giving your answer
Answer:
First, find any number that divides evenly into 360. Perhaps the number that comes to mind, since it ends in a 0, is 10. Since 10 divides into 360 and the result is 36, you can write 360 = 10*36.
Step-by-step explanation:
Sana makatulong
Find the difference (7-3t) - 5(-1.6t + 5)
Answer:
5t - 18
Step-by-step explanation:
STEP 1: Simplify 8/5
equation at end- 8 (7 - 3t) - (5 • ((0 - (— • t)) + 5)) 5
STEP 2: 2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 5 as the denominator :
5 5 • 5
5 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
\2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-8t + 5 • 5 25 - 8t
——————————— = ———————
EQUATION AT END: (25 - 8t)
(7 - 3t) - (5 • —————————)
5
STEP 3: (7 - 3t) - (25 - 8t)
help plz ill give u BRAINEST
Answer:
First option, relation 1 and relation 4
Step-by-step explanation:
Because they both cross one of the two axes once, which from what I remember, makes it a function.
Hope this makes sense, and please correct me if I'm wrong :)
Solve the inequality.
Answer:
w ≤ 2/5
Step-by-step explanation:
−2w+7≥3w+5
Step 1: Subtract 3w from both sides.
−2w+7−3w≥3w+5−3w
−5w+7≥5
Step 2: Subtract 7 from both sides.
−5w+7−7≥5−7
−5w≥−2
Step 3: Divide both sides by -5.
−5w/−5≥−2/−5
w≤2/5
Answer:
w ≤ 2/5
6+8÷2
mathematics middle school
Answer:
10Step-by-step explanation:
6+8÷2=
6+4=
10
Answer:
10
Step-by-step explanation:
This can be calculated correctly using BIDMAS. This stands for Brackets, Indices, Multiply, Divide, Add, Subtract. Using BIDMAS will allow us to know what order to answer the question in.
In BIDMAS, Divide comes before Add, so we know to do this part first. So we do 8 divided by 2 which is 4.
The next part of our question is to add 6, so we do 6+4=10. So, 10 is the final answer.
Lowest term of 4 11/12
Answer:
its already at its lowest. you can write it as a decimal 0.916667, but this fraction is already at its lowest.
PLEASE HELP ME !!!!!! EASY!!!!
Answer:
JL = √38.
a = 1 and b = 38.
Step-by-step explanation:
Using Pythagoras:
(JL)^2 = (√8)^2 + (√30)^2
(JL)^2 = 8 + 30 = 38.
JL = √38.
hey guys pls help mee!!! numbers between 2/3 and 8/9???
Answer:
kindly see attachment carefullyStep-by-step explanation:
hope it helpsAnswer:5 rational numbers are 19/27, 20/27, 21/27, 22/27, 23/27
Step-by-step explanation:
help me slove this problem
The answer is D. (-160)÷8
The answer can t be a decimal therefore a and c are out. The answer has to be negative bc it was a lost. Therefore since -160 was a loss it has to be negative
Answer:
D
Step-by-step explanation:
Loss = -160
Shared between 8 owners.
So, (-160) ÷ 8
PLEASEEE HELPPP………….
y= -1/7x - 3 :))))))))))))