Answer:
denominator
Step-by-step explanation:
Answer:
it is the denominator
Step-by-step explanation:
First to answer correctly gets brainlest no files or your answer is reported
21 degree angle?
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
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]
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
Determine the magnitude for the vector v that has the initial point (3, -8) and terminal point (-5, 4). Round to the nearest hundredth.
A. 3.46
B. 4. 47
C. 8.94
D. 14.42
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
A circle has a diameter of 18. The sector has a central angle of 30 degrees. What is the area of the sector?
Answer:
21.21
Step-by-step explanation:
Area of a circle is A = π r^2
Variables:
r = 18/2 = 9
θ = 30 deg
Find the area:
A = π r^2
A = π 9^2
A = 254.47
Find the area of the sector:
θ/360 * A
= 30/360 * 254.47
= 21.21
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 rectangle has an area of 235.2m squared. One of the sides is 2.8m in length. work out the perimeter of the rectangle, please?
Answer:
P = 173.6 mSteps:
given:
A = 235.2 m²
S1 = 2.8 m
S2 = A/S1
S2 = 235.2/2.8
S2 = 84 m
P = 2(S1+S2)
P = 2(2.8+84)
P = 2 × 86.8
P = 173.6 m
PLSSSSS HELPPPPPP ANSWER
A washer and a dryer cost $726 combined. The washer costs $76 more than the dryer. What is the cost of the dryer?
Answer:Cost of dryer=$325
Step-by-step explanation:
Let the dryer be represented as x
and the washer be x+76
such that the price of both can be written as
dryer + washer=$726
x + x+76=726
2x+76=726
2x=726-76
2x=650
x=650/2=325
Cost of dryer =x=$325
(NO FILES) In a sequence of numbers, a3=7, a4=10, a5=13, a6=16, and a7=19. Which equation can be used to find the nth term of the sequence, an?
an=7n+3
an=3n+7
an=2n−3
an=3n−2
Answer:
Step-by-step explanation:
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
Parallelogram PQRS has diagonals that are perpendicular. Based on that, which statement is most correct?
A- Parallelogram PQRS is also a rectangle
B- Parallelogram PQRS is also a rhombus.
C- Parallelogram PQRS is neither a rectangle nor a rhombus.
D- Parallelogram PQRS is both a rectangle and a rhombus, so it is a square.
Answer:
B- Parallelogram PQRS is also a rhombus.
Step-by-step explanation:
Given
Parallelogram PQRS with perpendicular diagonals
Required
Which of the option is true
(a) PQRS can be a rectangle
A rectangle do not have perpendicular diagonals.
Hence, (a) is false
If (a) is false, then (d) is also false
(b) PQRS can a rhombus
The diagonals of a rhombus are not perpendicular.
So (b) is true
No need to check for (c), since only option is true
Answer:
B- Parallelogram PQRS is also a rhombus.
Step-by-step explanation:
Hope this helps
Which expression is equivalent to this equation!!! Look at picture !! pls help !
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.
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
Rachel used 2.8 cups of sugar to make 2 cherry pies. How much sugar, on average, did she put in each pie?
Answer:
1.2 cups
Step-by-step explanation:
Divide the total cups (2.4) by the amount of pies (2)
2.4/2 = 1.2 cups of sugar per pie
Hopefully this helps - let me know if you have any questions!
Find the intercept and slope in the graph, and find the aquation for the function.
Answer:
Slope = 3
y intercept = -8
y = 3x - 8
Step-by-step explanation:
From the table shown, we can make use of the coordinate points
(0, -8) and (1, -5)
Slope m = y2-y1/x2-x1
m = -5-(-8)/1-0
m = -5+8/1-0
m = 3/1
m = 3
Slope = 3
The standard form of an equation is y = mx+b
b is the y intercept
Substitute m = 3 and (0, -8) into y = mx+b
-8 = 3(0) + b
-8 = b
b = -8
Hence y intercept is -8
Get the required equation
Recall that y = mx+b
y = 3x + (-8)
y = 3x - 8
This gives the required equation
156.43 - 42.1
EXPLAIN HOW YOU GOT IT AND ILL MARK BRAINLIEST!
Answer:
Your answer is 114.33
Step-by-step explanation:
How I got the answer was
156.43
- 42.1
————-
114.33
It is easy subtraction don’t let decimals fool you!
For a easier way take out the dot in the decimal and put it in after when you got the answer!
Have a nice day! And thank you for this question! :)
Brainlest is always appreciated! :)
What is the slope of y=-4x-3
Answer:
The slope othe line is - 1
Answer:
-1/4
Step-by-step explanation:
HELP ME AND SHOW WORK PLEASE
Answer:
B) 1693.3
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
V = π7²(11)
V = 49(11)π
V = 539π
V = 1693.3
Sophie drew an angle that turns through 90/360 of a circle. Which describes the measure of Sophie’s angle?
14 degree
90/360 degree
90 degrees
360 degrees
Answer:
90/360 describes the Sophie angle its all ready said in question as you read
Kind request :- If you are helped with my answer pls tag me brianliest I really want it
THANK YOU..... Plzz see to my request
Find the area of a regular hexagon with an apothem length of 12.1 and a side length of 14
Answer:
area = 520 units²
Step-by-step explanation:
divide the hexagon into 6 equal triangles.
each triangle has a base of 14 and a height of 12.1 so:
the area of one triangles = 1/2BH = 1/2(14)(12.1) = 86.8 units ²
86.8 x 6 triangles = 520.8 units²
The average human reaction time from eye to finger is 0.16 second. How is this expressed as a fraction?
Answer:
4/25 seconds
Step-by-step explanation:
the second (0.16) is in two decimal places, so divide 16 by 100
[tex]\frac{16}{100}[/tex]
to express in the simplest form, divide the numerator and the denominator by 4
= [tex]\frac{4}{25}[/tex]
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
Find the area of the polygon with vertices
A(-6,-2), B(-6,5), C(2,5), and D(2,-2).
Answer:
its b or c
i hope this helps! if not im sorry.
Please help with test offering big points pt 3
Answer:
25
Step-by-step explanation:
because if you do 1000 divided buy 25 its 69420 so if you do 69420 divided by 69420 its 1 and 1x1000 its 1000 divided by 54 its 25 so its 25
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!
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.