Answer:
f(x) = 2^x
Step-by-step explanation:
Question 4 of 40
If cose= -
5
in quadrant II, what is sine?
Step-by-step explanation:
cosx=adjacent/hypotenuse
adj=3, hyp=5
by pythagoras theorem,
opp^2+3^2=5^2
opposite=4
sine=opp/hyp
sinex=4/5 (second quadrant so sin is positive)
The solution is, The value of sin ∅ in quadrant 2 is 4/5.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
given that,
cos∅ = - 3/5, in quadrant II,
We have;
adjacent = -3
hypotenuse = 5
Let's find the opposite side, using Pythagorean theorem
5^2 = x^2 + (-3)^2
25 = x^2 + 9
collect like terms
x^2 = 25 - 9
x^2 = 16
x = √ 16
x = 4
We have that
sin ∅ = opposite/hypotenuse
sin ∅ = 4/5
It is important to note that the trigonometric identity 'sine' is positive in quadrant 2
sin ∅ = 4/5
Hence, the value of sin ∅ in quadrant 2 is 4/5
Learn more about trigonometric relations here:
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The surface area of a cylinder is given by the formula
S = 30πr + 2πr2
How many times greater is this compared to a circle with A = πr2
Answer:
[tex] x = \frac {30}{r} + 2 [/tex]
Step-by-step explanation:
Given the following data;
S.A of cylinder = 30πr + 2πr²Area of circle = πr²To find how many times greater is the S.A compared to the area, we would have to divide the surface area (S.A) of the cylinder by the area of circle.
Let the unknown variable be x.
[tex] x = \frac {30 \pi r + 2 \pi r^{2}}{\pi r^{2}} [/tex]
Factorizing the numerator, we have;
[tex] x = \frac {\pi r(30 + 2r)}{\pi r^{2}} [/tex]
Dividing both sides by πr, we have;
[tex] x = \frac {30 + 2r}{r} [/tex]
Simplifying further, we would have;
[tex] x = \frac {30}{r} + 2 [/tex]
indices-find The value of 6*7^3
Answer:
[tex]6 * 7^3 = 2058[/tex]
Step-by-step explanation:
Given
[tex]6 * 7^3[/tex]
Required
Solve
App;y law of indices:
[tex]6 * 7^3 = 6 * 7*7*7[/tex]
Multiply
[tex]6 * 7^3 = 2058[/tex]
which of the following are remote interior angles of 5 ?
Answer:
The answer is B and C.
Answer: B AND C
Step-by-step explanation:
Remote interior angles are angles that are opposite from the exterior angles (5 in this case).
Find the measurement of ∠ABE. Show all your work that leads to the final answer.
It’s 11 but I need help
A,12/15=4/5
B,20/25=4/5
C,25/30=5/6
D,28/35=4/5
=> C
16 + 28 = ___ ´ (4 + 7).
Answer:
Solution given:
16+28=44
(4+7)=11
Answer:
The solution is 4
Step-by-step explanation:
Step 1: Find the correct answer
I'm not really sure what you are asking but I will give it a shot.
16 + 28 = ___ (4 + 7)
44 = ___ (11)
44 / 11 = ___ (11) / 11
4 = ___
Answer: The solution is 4
Y = 2x + 3
(2, 7)
(1, 3)
(-3, 6)
(0, 2)
Answer:
(2,7)
Step-by-step explanation:
If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =
Using the intersecting chord theorem:
a x b = c x d
x+21 * 4 = x+3 * 10
Simplify:
4x+84 = 10x+30
Subtract 30 from both sides:
4x + 54 = 10x
Subtract 4x from both sides:
54 = 6x
Divide both sides by 6:
x = 9
Answer:
x=9
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
ab = cd
(x+21) *4 = (x+3)*10
Distribute
4x+84=10x+30
Subtract 4x from each side
84 = 10x-4x+30
84 = 6x+30
Subtract 30 from each side
54 = 6x
Divide by 6
54/6 = 6x/6
9=x
often contains information about the author's experiences with the subject matter of
9. The author's introduction to a book, also called a/an
the book.
A. glossary
B. Index
C. table of contents
D. preface
Im quite sure it’s d wanna make sure
steps to describe an inscribed regular hexagon.
Answer:
many sides
unique shape
Tìm m để hàm số sau là hàm số bậc nhất:
(2m-1)x+2018
Answer:
2mx-x+2018
Step-by-step explanation:
multiply each term in the parentheses by x
Predict what will happen to the graph of the line 2y=3x-6 if the slope was changed to 2
Answer:
y = 3/2x-3 vs. y = 2x-3
Step-by-step explanation:
2y=3x-6 ------ y = 3/2x-3
Tìm giá trị lớn nhất giá trị nhỏ nhất
Cos(x+π/3)+ cos(x-π/3)
Answer:
GTLN : 1 GTNN: -1
Step-by-step explanation:
Ta có:
[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]
mà [tex]-1\leq cosx \leq 1[/tex]
Nên Max [tex]y=1[/tex] , [tex]x[/tex] ∈ [tex]R[/tex]
Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks.
Answer:
Not exactly sure what the question is but John would have to pay 180 to be in the class, he does not have enough for the class right now.
You are in a hot air balloon that is 600 feet above the ground where you can see your friend. If the angle from your line of sight to your friend is 20°, how far is he from the point on the ground below the hot air balloon to the nearest foot?
Answer:
218.38 feet
Step-by-step explanation:
tan(20) = x/600
tan(20) = 0.3639
600 x 0.3639 = 218.38 feet
hope this helps
HELP ASAP PLEASEREEEEE
Answer:
uh
Step-by-step explanation:
my guy, I DK.
Find the measure of the indicated angle to the nearest degree.
13
6
Answer:
62.5 or 63
Step-by-step explanation:
the length of the side adjacent to the angle is given (6), and the length of the hypotenuse is also given (13)
the trig function that deals with adjacent and hypotenuse lengths is cosine.
cos(x) = adj/hyp
cos(x) = 6/13
x = 62.5
how do you figure this out step-by-step?
5x + 3y = 10
6x + 3y = 33
Multiply the second equation by -1.
5x+3y=10
-6x-3y=-33
The postive and negative 3ys cancel
-x=-23
x=23
10=5x-3y=3xy+10=13xy
Find the value of x in each case
Answer: x=45
Step-by-step explanation:
To solve for x, we first need to understand the figure. We know TV and RS are parallel lines. If we extend TV to the left, we get a straight line parallel to RS. By Alternate Interior Angles, We know ∠R is equivalent to ∠T on the very left. Therefore, we can set it equal to 180° and solve.
x+2x+x=180 [combine like terms]
4x=180 [divide both sides by 4]
x=45
Now, we know x=45.
due to Deepavali or TV is sold for rupees 14900 after allowing a discount of 23% what is the Marked price
Answer:
Correct option is
C
Rs.8000
SP=xRs
CP=(0.8x+600)Rs
P%=14
7
2
%
SP=
100
CP(100+P%)
x=
100
(0.8x+600)(100+
7
100
)
x=
7×100
(0.8x+600)(800)
700x=640x+480,000
x=8,000
If necessary, write in simplest radical form
Answer:
2*sqrt(5)
Step-by-step explanation:
By using Pythagoras theorem, we have
4^2+2^2=(the third side)^2
16+4=(the third side)^2
Third side=sqrt(20)=2*sqrt(5)
I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!! I’ll mark you brainliest
Answer:
(x+2)^2 + (y-15)^-1 = 64
Step-by-step explanation:
plz mark brainlist
PLEASER HELP WILL GIVE BRAINLIEST!
Answer:
$250
Step-by-step explanation:
the class width (just choose one of the rows, it could be the same) =>for example:the first row = $(749-500+1) = $250
What is the volume of the sphere below PLEASE HELP FAST
Answer:
c. 256π/3 units^3
Step-by-step explanation:
Recall that the volume V of a sphere with radius r is given as
V = 4 /3πr3
Hence from the image given, the radius of the sphere which is the distance from the center to any point on the circumference is 4 units hence the volume
V = 4/3 * π * 4^3
= 4/3 * π * 64
= 4*64/3 * π
= 256π/3 units^3
Option c is right
I just really need to finish this math stuff so plz help
Answer:
wx/5
Step-by-step explanation:
Divide the denominator and the numerator by 7y.
Answer:
wx / 5
Step-by-step explanation:
here..
7wxy / 35y
7/35 is 1/5
and wxy /y is wx as we can cancel out y
thus..
7wxy/35y = wx/5
In the figure. PQ = PR and AQSR = 90°. Write the name of an isosceles triangle and a right angled triangle.
Answer:
see explanation
Step-by-step explanation:
Since PQ = PR , that is congruent legs of the triangle, then
Δ PQR is isosceles
Since ∠ QSR = 90° , then
Δ QSR is right angled
What is the area of the shape below?
A.
886 cm2
B.
781.5 cm2
C.
1,019 cm2
D.
990.5 cm2
HELP ASAP
The graph of f(x)= |x| is chosen below. Write the equation for the stretched graph, g(x).
Answer:
y = |3x|
Step-by-step explanation:
Write this rate as a unit rate 1/7inch 1/14 minute
Answer:
2 inches per minute
Step-by-step explanation:
