Answer:
Step-by-step explanation:
[tex]A+B=\theta\\B=\theta-A\\sin B=sin (\theta-A)\\sin A=\lambda[sin \theta cos A-cos \theta sin A]\\sin A[1+\lambda cos \theta]=cos A(\lambda sin \theta) \\\frac{sin A}{cosA} =\frac{\lambda sin \theta}{1+ \lambda cos \theta} \\[/tex]
[tex]tan A=\frac{\lambda sin \theta }{1+ \lambda cos \theta }[/tex]
Given that sinθ=3/5
, find cosθ
and tanθ
. Write your answers as fractions in simplest form.
Answer:
cos θ = 4/5.
tan θ = 3/4.
Step-by-step explanation:
Given sin θ = 3/5, we can find the value for the other side of the right triangle.
Using the Pythagorean formula, we can derive the value of this other leg.
5² = 3² + x²
x = 4.
Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.
cos θ= A/H --> cos θ = 4/5.
tan θ= O/A --> tan θ = 3/4.
Match each percent proportion with the percent problem it represents.
Answer:
1. d
2. c
3. b
4. a
Is the following biconditional statement true or false?
You can play volleyball if and only if you play a sport.
Answer:
true
Step-by-step explanation:
because you cannot play volley ball if you are not a sport person
Paul creates a CD by mixing together
songs that are either 3 minutes or
4 minutes long. His CD has 22 songs
and is 78 minutes long. How many
three-minute and how many four-minute
songs did he use?
Answer:
Paul created 10 three minutes songs and 12 four minutes songs.
Step-by-step explanation:
The song he created on his CD is either 3 minutes long or 4 minutes long.
His CD has 22 songs and is 78 minutes. The number of 3 minutes and 4 minutes song can be calculated below.
Let
a = number of 3 minutes song
b = number of 4 minutes song
number of song = 22
a + b = 22............(i)
3a + 4b = 78.........(ii)
Make a subject of the formula in equation (i)
a = 22 - b
Insert the value of a in equation (ii)
3(22 - b) + 4b = 78
66 - 3b + 4b = 78
b = 78 - 66
b = 12
insert the value of b in equation (i)
a + b = 22
a + 12 = 22
a = 22 - 12
a = 10
Paul created 10 three minutes songs and 12 four minutes songs.
Find the 82nd term of the arithmetic sequence
-8, 9, 26, ...
James sets off from home on his bike.The graph shows his journey.A)what is James average speed on his outward journey?B)How long does he stop for?C)What is James average speed on his homeward journey?
Answer:
20,45,15
Step-by-step explanation:
a)20 km/h
b)45 minutes
c)15 km/h
Answer:
Step-by-step explanation:
a)20
b)45
c)15
Complete questions 6,7,8
Answer:
Step-by-step explanation:
80x^2y=16*5*x^2*y=4^2*x^2*5*y=(4x)^2*5*y
56x^3*y^2=7*8x^3y^2=7*2^3*x^3*y^2=(2*x)^3*7*y^2
81xy^2=9^2y^2x=(9y)^2*x
Hurry Please! Which of the following shows the extraneous solution to the logarithmic equation?
Image shown!
Answer:
the third circle.
Step-by-step explanation:
This is a better photo I can’t figure this one out. Any help?
Answer:
the answer is 4
Step-by-step explanation:
because i did it on desmos that is a graphic calculator
What is the value of x in 5x + 5 = 8 3/4
。☆✼★ ━━━━━━━━━━━━━━ ☾
5x + 5 = 8 3/4
- 5 from both sides
5x = 15/4
/5 on both sides
x = 3/4
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
。☆✼★ ━━━━━━━━━━━━━━ ☾
solve in quadratic formula (show work)
[tex]2x^{2} +5x+1=0[/tex]
Answer:
x= −5±√17/4
Step-by-step explanation:
5m- 3 = 4m +30
can you please help me with this problem
Answer:
m=33
Step-by-step explanation:
To solve this, we need to get the variable, m, by itself. Perform the opposite of what is being done to the equation. Keep in mind everything done to one side, must be done to the other.
5m-3=4m+30
3 is being subtracted from 5m. The opposite of subtraction is addition, so add 3 to both sides.
5m-3+3=4m+30+3
5m=4m+33
4m is being added on to 33. The opposite of addition is subtraction, so subtract 4m from both sides.
5m-4m=4m-4m+33
5m-4m=33
m=33
A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could possibly receive the
tickets?
A
13
B. 40
56
D.
64
Reset
Next
Answer:
D. 56
Step-by-step explanation:
8!/3!x5!= 56
Please help me!!
Show workings.
Answer:
a = 31°
b = 149°
c = 149°
d = 31°
Answer:
see explanation
Step-by-step explanation:
Since there are 3 parallel lines, then
a and 31° are corresponding angles and congruent, thus
a = 31°
b and 31° are same- side interior angles and supplementary, thus
b = 180° - 31° = 149°
c and b are vertical angles and congruent, thus
c = 149°
d and 31° are alternate angles and congruent, thus
d = 31°
a = 31°, b = 149°, c = 149°, d = 31°
Katy buys 2 DVDs every 2 weeks.How many DVDs. Will she buy in 14 weeks?
Answer:
Step-by-step explanation:
If Katy buys 2 DVDs every 2 weeks, it the same as saying 1 DVD every week.
14 ÷ 2 = 7
2 × 7 = 14
1 × 14 = 14
Answer:21 dvds
Step-by-step explanation:
Set up a proportion in terms of DVDs to weeks and solve.
3/2 = x/14
(2)(x) = (3)(14)
2x = 42
x = 21
Therefore, Katy will buy 21 DVDs in 14 weeks.
brainliest pls?
Is anyone able to help me with this question:
A rectangle with sides 4 cm and 6 cm has the same diagonal as a square.
What is the length of the side of the square.
Give your answer as a surd.
Answer:
not sure but this info might help you.
Step-by-step explanation:
the diagonal in the rectangle splits it into two right angled triangles, hence the hypotenuse is the diagonal.
once you find the measurement, we all know that a square has all sides equal and the diagonal splits it into 2 equilateral triangles. so, the side of the square =the diagonal's measurement.
help me!! show work pls
Answer:
17.2
Step-by-step explanation:
We need to use the law of sines
sin A sin B
------------ = ----------
a b
sin 25 sin 27
------------ = ----------
16 x
Using cross products
x sin 25 = 16 sin 27
Divide each side by sin 25
x = 16 sin 27 / sin 25
x =17.18772863
Rounding to the nearest tenth
x = 17.2
100 points. WILL MARK BRAINLIEST. EASY QUESTION
Topic: Fractions.
ONLY COMPLETE QUESTION 1
Answer:
see below
Step-by-step explanation:
2 1/2+ 3 3/16 + 7/8
Get a common denominator of 16
2 8/16 + 3 3/16 + 14/16
5 25/16
5 + 16/16 + 9/16
6 9/16
Subtract this from 8 ft
8 - 6 9/16
Borrow 1 from 8 in the form of 16/16
7 16/16 - 6 9/16
1 7/16
b 1 7/16 - 1 1/3
The common denominator is 48
1 21/48 - 1 16/48
5/48
What is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base
diameter of 18 feet? Round to the nearest tenths place
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 18 so the radius is 1/2 d = 1/2(18) = 9
V = pi (9)^2 (8)
V =648 pi
Letting pi = 3.14
V = 648(3.14)
V =2034.72
Rounding to the tenths place
V =2034.7 ft^3
If you use the pi button
V = 2035.75204
Rounding to the tenths place
V =2035.8
The expression 1.01 ⋅ 1.00 5 t 1.01⋅1.005 t 1, point, 01, dot, 1, point, 005, start superscript, t, end superscript gives the amount of money, in thousands of dollars, in Carter's savings account t tt years after he opens it.
Answer:
Step-by-step explanation:
The expression 1.01-1.005 gives the amount of money, in thousands of dollars, in Carter's savings account t years after he opens it What does 1.01 represent in this expression? Choose 1 answer Carter opened the savings account I year ago ⓢ Carter's savings account had $1,010 in it when he opened it. The amount of money in Carter's savings account increase by 1% each year.
1.01 ( 1.005 )^t
standard exponential equation is
y = a (b)^x
where a = initial value
comparing the two equations
we get
a = 1.01
so, it means 1.01 means Carters saving account had $ 1010 in it when it opened
Determine the answer to (−3) + (−5) and explain the steps using a number line
Answer:
-8
Step-by-step explanation:
When adding a negative number on a number line, we move to the left. This is because adding a negative number is the same as subtracting. If we start at -3 and move 5 to the left, we will end at -8.
Find the zeros of the function h(x)=x^2+23x+60 by factoring.
Answer:
x = - 20, x = - 3
Step-by-step explanation:
To find the zeros, let h(x) = 0, that is
x² + 23x + 60 = 0
Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- term (+ 23)
The factors are + 20 and + 3, since
20 × 3 = 60 and 20 + 3 = 23, thus
(x + 20)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 20 = 0 ⇒ x = - 20
x + 3 = 0 ⇒ x = - 3
18:10 is equivalent to :5
Answer:
18:10 is equivalent to 9:5
Step-by-step explanation:
half of 18 is 9 and half of 10 is 5
Answer:
9:5
Step-by-step explanation:
18:10 is equivalent to 9:5 because 10 divided by 2 is 5 so you can do the same for 18. You will get 9 which makes it 9:5.
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=1?
Answer:
y= 4x +5
Step-by-step explanation:
Let's rewrite the equation so that it is in the form of y=mx+c, where m is the gradient and c is the y-intercept.
4x-y=1
y= 4x -1
parallel lines have the same gradients. Thus the gradient of the line is 4.
y=4x+c
To find c, substitute a pair of coordinate.
When x=-2, y= -3,
-3= 4(-2) +c
-3= -8 +c
c= 8 -3
c= 5
Thus, the equation of the line is y= 4x +5.
3 and 1/3 - 2 and 1/5
Answer:
1.13333333333
1.13
Step-by-step explanation:
1: Gather all the numbers
2: Use a calculator to subtract the numbers
3: Answer is 1.13
Hope this helps.
A cone is of radius 6 cm and its height is 10 cm . The volume of the cone is __________ π cm3
please help
20 pointss
Answer:
376.99 cm
Step-by-step explanation:
V=πr2h^3
Which inequality statement describes the two numbers on a number line?
*6 and a number 10 units to the left of 6"
A)
10 > 6
B)
10 < 6
C)
-4> 6
D)
Answer:
-4 > 6
Step-by-step explanation:
So it would be -4 > 6 because you have 6 on the right, and 6 - 10 is -4, which is on the left.
A whole theater has the capacity to hold 1,000 people. On the opening night, the theater was 95% full. What part of the theater was filled on opening night?
Answer:
950 People
Step-by-step explanation:
If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.
Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.
Determine the measure of angle 1
Which property of real numbers is shown below?
3 + ((-5) + 6) = (3 + (-5)) + 6
Answer:
Associative property