Answer:
C. y=3xStep-by-step explanation:
I got it correct on my assignment.
PLSSSSS HELPPPPPP ANSWER
help please!!
integrate the following:
[tex] \displaystyle \int \frac{ \cos ^{2} (x) - \cos ^{2} ( \alpha ) }{ \cos( x) - \cos( \alpha ) } [/tex]
Answer:
[tex] \displaystyle \sin(x) + x\cos( \alpha ) + \rm C[/tex]
Step-by-step explanation:
we are given
[tex] \displaystyle \int \frac{ \cos ^{2} (x) - \cos ^{2} ( \alpha ) }{ \cos( x) - \cos( \alpha ) } dx[/tex]
we want to Integrate it
notice that, the denominator can be rewritten by using algebraic identity
remember that,
[tex] \displaystyle {a}^{2} - {b}^{2} = ( a + b)(a - b)[/tex]
therefore
rewrite the denominator by using the identity:
[tex] \displaystyle \int \frac{ ((\cos (x) + \cos ( \alpha) ) ( \cos(x) - \cos( \alpha ) ) }{ \cos( x) - \cos( \alpha ) }dx [/tex]
reduce fraction:
[tex] \displaystyle \int \frac{ ((\cos (x) + \cos ( \alpha) ) ( \cancel{ \cos(x) -\cos( \alpha ) ) }}{ \cancel{\cos( x) - \cos( \alpha ) } }dx[/tex]
[tex] \displaystyle \int \cos(x) + \cos( \alpha ) dx[/tex]
recall that,
[tex] \rm\displaystyle \int f(x) \pm g(x)dx =\int f(x) \pm \int g(x)dx[/tex]
by that
we get
[tex] \displaystyle \int \cos(x) dx + \int \cos( \alpha )dx [/tex]
we also know that,
[tex] \displaystyle \int \cos(x) = \sin(x)dx [/tex]
and also the Integration of a constant is always cx
so,
[tex] \displaystyle \sin(x) + x\cos( \alpha ) [/tex]
and of course we have to add constant
[tex] \displaystyle \sin(x) + x\cos( \alpha ) + \rm C[/tex]
The following table shows how much Dave gave each of his kids for allowance last month Find the median allowance
Answer:
7
Step-by-step explanation:
1. arrange the numbers from smallest to biggest
2. cross on each side until you reach a middle number
3. if there's two digits , add them both and divide by two
Answer:
7
Step-by-step explanation:
5. Abbey represented the perimeter of the rectangle with the expression 8x + 4. Determine if Abbey's
expression is equivalent to Brit's expression. Justify your reasoning.
Answer: I believe it is
Step-by-step explanation: if you add 3x + 3x you get 6x. You would then add the like terms which are x + x ( x is equal to one) and that to 6x and you get 8x then add 2+2=4 and you get 8x + 4
The weather man says that the temperature is going to drop 5 degrees each day for the next 4 days. How much has the temperature dropped on the third day?
Answer:
hi
Step-by-step explanation:
i think 15
hope it helps
have a nice day
Answer:
15 degrees
Step-by-step explanation:
Because each day it drops 5 degrees, so for three days that will be 5x3 and the answer will be 15
Answer all questions in the spaces provided
17
Beth drives 300 miles in 6 hours.
She drives the first 36 miles at an average speed of 72 mphene om
Work out her average speed for the rest of the journey.
Answer:
nako ni gwapa ko
thankyouuuuu
What is the amount of income tax in dollars and cents if a plumber makes $51,482 and has to pay a 5.5% income tax rate? $2,821.51
Answer:
$2,821.51
Step-by-step explanation:
The amount made be plumber = $51,482
rate of income tax = 5.5%
Therefore, amount of income tax in dollars and cents that would be paid by the plumber would be 5.5% of his amount made
= 5.5% of 51482
= (5.5/100)×51,482
= $2,821.51
A number b times 12 is at least 17.
Answer:
12 times 1
Step-by-step explanation:
Answer:
The volume of this rectangular prism is 225 sqaure centimeters.
Step-by-step explanation:
The formula for finding volume is V = length * width * height
Substitute values in the formula:
5 * 15 * 3 = V
5 * 15 * 3 = 225
Hope this helps; have a great day!
Find the dimensions of a rectangle if the area of the rectangle is 108 square meters
Answer:
it's your answer
Step-by-step explanation:
plz make me barinly least
Ann purchased a prepaid phone card for $20. Long distance calls cost 14 cents a minute using this card. Ann used her card only once to make a long distance call.If the remaining credit on her card is 14.26,how many minutes did her call last?
Answer:
The correct answer is; Ann was on the call for 41 minutes.
Step-by-step explanation:
20-14.26 is equivalent to 5.74, in which you divide that by .14 (fourteen cents) and get 41.
A cube is a rectangular prism with the same measurement for length, width and height. if a cube is 4 inches tall, what is its volume?
Answer:
I am pretty sure the answer is 64
Step-by-step explanation
Volume=lxwxh
4x4x4=64
What is the circumference of a circle with a diameter of 10 in? (NO LINKS PLS)
Answer:
10π or 31.4159265359
Step-by-step explanation:
Step-by-step explanation:
radius is 5
C = 2πr
C = 2(5)π
= 10π
= 31.42in
Find the circumferences of of both circles to the nearest hundredth.
9 ft
2.5 ft
L
18
The circumference of the yellow circle is about
ft.
The circumference of the purple circle is about
ft.
ty
Answer:
yellow circle = 43.96 ft
purple circle = 28.26 ft
Step-by-step explanation:
yellow circle = πd = (3.14)(14) = 43.96 ft
purple circle = πd = (3.14)(9) = 28.26 ft
An angle measuring 28.3 radians is drawn in standard position?
In what quadrant will the terminal side of this angle lie?
Express your answer as a Roman numeral.
Answer:
The terminal side of angle will lie in thirds quadrant
Step-by-step explanation:
Given the angle is 28.3 degree radians
Converting it into degrees we get -
28.3rad × 180/π = 1621.471°
Total 360 degrees rotation in this angle
1621.471°/360 = 4
SO the remaining degrees 181.471
The angle grater than 180 lies in third quadrant.
The terminal side of angle will lie in thirds quadrant
If 2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after 2 years
Answer:
Account Balance = Principal x (1 + interest rate (decimal)) number of years, compounded annually.
Step-by-step explanation:
This is based on the information provided: 2121.80 (1.03)2 = 2000 So, on your initial deposit of 2000, you can collect 121.80 in interest after two years.
i dont undersyand jnjnjiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiin
Answer:
no 36x is not a solution the answer is 36/9=4
Step-by-step explanation:
you plug in 36 for x and then divide by 9
PLEASE HELP I WILL MARK BRAINLIEST!! Have a great day:)
Answer:
The answer is D.
Step-by-step explanation:
It's D because a expression is numbers grouped together not just 1 number. Hope it helps and have a blessed day.
Answer:
B
Step-by-step explanation:
B is an equation, not an expression
Which of the following are valid names for the triangle below? Check all that apply.
Below is how you insert a picture
What is the answer to this liberal arts 1 question?
3^(-2-2)=?
Answer:
the answer is 1/81 I believe
Step-by-step explanation:
What is the least common multiple (LCM) that could be used to find a common denominator for the fractions 1 2 and 5 6 ?
Answer:
4
Step-by-step explanation:
b/c the only number that divide both is 4
Find the area of the shape shown please please help me find the area:)
Answer:
area = 32 units²
Step-by-step explanation:
area = (4 x 10 x 0.5) + (2 x 2) + (2 x 2 x 0.5) + (6 x 2 x 0.5) = 32 units²
Question 17
Which statements are true about AFGH?
36
H
F
15
39
G
6
cos H x 0.3846
cos Gs 0.9231
sin Gs 0.9231
tan G = 24
Reply...
Do
Wed Apr 21
Answer:
Options C and D are the correct options.
Step-by-step explanation:
Option A
cos(H) = 0.3846
By applying cosine rule in ΔFGH,
cos(H) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{36}{39}[/tex]
= 0.9231
False
Option B
cos(G) = 0.9231
By applying cosine rule in ΔFGH,
cos(G) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{15}{39}[/tex]
= 0.3846
False
Option C
sinG = 0.9231
By applying sine rule in ΔFGH,
sin(G) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{36}{39}[/tex]
= 0.9231
True
Option D
tanG = 2.4
By applying tangent rule in ΔFGH,
tanG = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{36}{15}[/tex]
= 2.4
True
Therefore, Options C and D are the correct options.
Hildie can type an average of 74 words per
minute. If she types for 45 minutes, how many
words has she typed?
Answer:
3,330
Step-by-step explanation:
you multiply 74 and 45
Answer:
3,330 words
Step-by-step explanation:
Hildie can type 74 words per MINUTE. And we know she typed for 45 minute, so we can just multiply 74 and 45.
Help me please... I need help asap!
Answer:
ur doing exams
Step-by-step explanation:
hahhaha ur doing exams
What is the slope of y=-4x-3
Answer:
The slope othe line is - 1
Answer:
-1/4
Step-by-step explanation:
Can someone help me with this because I am struggling and if you don't mind show me the steps?
Answer:
C) 1.5 in
Step-by-step explanation:
(7 + 1.5 + 1.5)(5 + 1.5 + 1.5) = 80
please help!!! (pic included)
Answer:
21 questions 50 cnet is the best
Step-by-step explanation:
A tire on a vehicle has a diameter of 30in. As it moves down the
road it makes 50 full revolution. What is the approximate distance
it traveled?
Answer:
94.25 in
Step-by-step explanation:
In one revolution, the tire moves a distance equal to its circumference. If the diameter is 30 in, the radius is half of that, 15 in. Circumference is 2 pi times the radius:
[tex]C=2\pi r= 2\pi (15) = 30\pi \approx 94.25 \text{ in.}[/tex]
help me out on this please:)
Answer:
yes
Step-by-step explanation: