Answer:
[tex]sin\theta_1 = \dfrac{\sqrt{217}}{19}[/tex]
Step-by-step explanation:
It is given that:
[tex]cos\theta_1 = -\dfrac{12}{19}[/tex]
And we have to find the value of [tex]sin\theta_1 = ?[/tex]
As per trigonometric identities, the relation between [tex]sin\theta\ and \ cos\theta[/tex] can represented as:
[tex]sin^2\theta + cos^2\theta = 1[/tex]
Putting [tex]\theta_1[/tex] in place of [tex]\theta[/tex] Because we are given
[tex]sin^2\theta_1 + cos^2\theta_1 = 1[/tex]
Putting value of cosine:
[tex]cos\theta_1 = -\dfrac{12}{19}[/tex]
[tex]sin^2\theta_1 + (\dfrac{12}{19})^2 = 1\\\Rightarrow sin^2\theta_1 + \dfrac{144}{361} = 1\\\Rightarrow sin^2\theta_1 = 1-\dfrac{144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{217}{361}\\\Rightarrow sin\theta_1 = +\sqrt{\dfrac{217}{361}}, -\sqrt{\dfrac{217}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{\sqrt{217}}{19}, -\dfrac{\sqrt{217}}{19}[/tex]
It is given that [tex]\theta_1[/tex] is in 2nd quadrant and value of sine is always positive in 2nd quadrant. So, the answer is.
[tex]\Rightarrow sin\theta_1 = \dfrac{\sqrt{217}}{19}[/tex]
Answer:
− square root 15/4
Step-by-step explanation:
How much water can fill this cylinder with diameter of 3m and height of 8cm
Answer:
0.565 m^3 to the nearest thousandth.
Step-by-step explanation:
The volume of the cylinder = π r^2 h
Here the radius r = 1/2 diameter
= 1/2 * 3 = 1.5 m
8 cm = 0.08 m.
So the volume = π (1.5)^2 * 0.08
= 0.565 m^3 to the nearest thousandth.
Which of the following is the midsegment of AABC?
Answer:
Option D is the correct answer
Step-by-step explanation:
[tex] \overline{LM} [/tex] is the mid segment of [tex] \triangle ABC [/tex]
Game 1. There are 20 sticks. 2 players take turns removing 1 or 2 sticks. The player who cannot make a move loses. Can you always win if you can choose whether you go first or second? How?
One cubic centimeter will hold 1 milliliter of water. How many milliliters will the aquarium hold? How many liters will it hold? LOADING... Click the icon to see the metric units of capacity. 40 cm 30 cm 50 cm The aquarium will hold nothing mL of water.
Answer:
The aquarium hold 60000 ml and in liters is 60 liters
Step-by-step explanation:
Length of aquarium = 40 cm
Breadth of aquarium = 30 cm
Height of aquarium = 50 cm
Volume of tank =[tex]Length \times Breadth \times Height[/tex]
Volume of tank = [tex]40 \times 30 \times 50[/tex]
Volume of tank =[tex]60000 cm^3[/tex]
Now , 1 cubic cm = 1 ml
60000 cubic cm = 60000 ml
Now 1000 ml = 1 l
60000 ml = [tex]\frac{60000}{1000}=60 liters[/tex]
So, the aquarium hold 60000 ml and in liters is 60 liters
I need help with this i don’t know if I’m right so please help
Answer:
You're correct, it's a reflection.
Step-by-step explanation:
A glide reflection is for geometry where the object must go through a series of transformations and be reflected across the axis, this doesn't go through any transformations.
Answer:
reflection, i think for it to be a glide reflection, the image below it would be upside down or sideways
Step-by-step explanation:
Can anyone help me find the equation of the line that has been graphed?
Answer:
y=3/2x+6
Step-by-step explanation:
Slope-intercept form: y=mx+b
Slope: (y2-y1)/(x2-x1)
(-2, 3) and (2, 9)
6/4
3/2
Y intercept, (0, 6)
y=3/2x+6
Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17).
f(x)=
Answer:
x^4 +y+1
Step-by-step explanation:
The quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, -17) is [tex]-17(x-1)^{2}[/tex].
What is vertex form of a quadratic function?The vertex form of a quadratic function is [tex]f(x) = a(x-h)^{2} + k[/tex] where a, h, and k are constants and (h, k ) is the vertex of the graph of the function.
According to the given question we have
The graph has the vertex is (1, 0) and passes through (2, -17)
Since, the general form of a quadratic function in a vertex form is
[tex]y = a(x-h)^{2}+ k[/tex]
substitute, h = 1 and k = 0 in the above equation
⇒ [tex]y = a(x-1)^{2} +(0)^{2}...(i)[/tex]
Also, the graph passes through the point (2, -17)
⇒ [tex]-17 = a(2-1)^{2}[/tex]
⇒ -17 = a or a = -17
Substitute the value of a in equation (i).
⇒[tex]y = -17(x-1)^{2}[/tex]
Therefore, the quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, -17) is [tex]-17(x-1)^{2}[/tex].
Learn more about quadratic function in vertex form here:
https://brainly.com/question/13921516
#SPJ2
create a radical that would simplify to the radical indicated.
Answer:
∛(3b)^4
Step-by-step explanation:
Note that the square root of 36 is 6; in other words, 6^2 = 36.
So (√36)(5) = 6√5
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the eastbound car has traveled 12 kilometers. If the two cars are now a straight-line distance of 15 kilometers apart, how far has the northbound car traveled?
Answer 3 kilometers
15 kilometers total minus 12 kilometers of the east bound car leaves only 3 kilometers for the northbound car to travel.
A coordinate plane. A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply. (12, 3) (–2, –5) (–3, 1) (1, 15) (5, –2)
For a line with a positive slope that passes through (0, 1), the points that can't be on the line are:
(-3, 1) and (5, -2)
Which of these points could that line NOT pass through?We know that the line passes through the point (0, 1) and has a positive slope. This means that for values of x larger than x = 0, the values of y in the line will be larger than 1.
Then if we find a point with:
x > 0
y ≤ 1
That point clearly can't belong to our line.
And points with:
x < 0
y ≥ 1
Also can't belong to the line.
Then the correct options are: (-3, 1) and (5, -2)
If you want to learn more about linear equations:
https://brainly.com/question/1884491
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Answer:
The ACTUAL answer is.. (-3,1) and (5,-2), in other words, C and E.
Step-by-step explanation:
You're welcome, I got the question wrong,o_o, that's the only reason I know the answers, good day.
what is the remainder of 2 ^1026 divided by 5
determine the diameter
Answer:
2.75 cm
Step-by-step explanation:
You can multiply the diameter by the scale factor to find the size of the diameter on a scale diagram.
55 * 0.05 = 2.75 cm
Which statement best explains why this expression is equal to 9.4?
Answer:
Where is the answers, they might help.
Answer:
Any number multiplied by 0 is 0
Step-by-step explanation:
imagine math answer.
Solve for x. Enter the solutions from least to greatest.
x2 – X – 12 = 0
Answer:
x=-3 or 4
Step-by-step explanation:
Which expression represents the perimeter of the triangle shown below?
Answer:
a)2x2+x-1Step-by-step explanation:
perimeter is the sum of sides of a triangle or length of botder
The equation of the graphed line is 2x-3y=12 what is the x-intercept of the graph ?
Answer:
(6,0)
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
correct on edg :)
What is the volumen of a sphere with a diameter of 32.5m
Answer: 17974.16m cubed
100 points. Fun question to do.
1: Find something in your home (a product) that has a percentage on the label.
2: Describe your product (short description 1-2 sentences, explaining the
product, what it is, its purpose, etc.)
3: Answer the following: Explain what the percentage is referring to – what does
it tell you about the product? Why is it included on the label?
4: Make a visual model/picture of some kind that represents the percentage
listed on your product’s label.
Answer:
Step-by-step explanation:
1.Wound wash
2.It helps wounds
3a.to the materals
3b.to tell whats in the product.
Please answer this math question !! Thank u !! 20 POINTS AND BRAINLIEST!!
Answer:
x=2, y=3
Step-by-step explanation:
y = 3
3x-y =3
Substitute y =3 into the second equation
3x -3 =3
Add 3 to each side
3x-3+3 = 3+3
3x=6
Divide by 3
3x/3 = 6/3
x =2
Answer:
(2,3)Step-by-step explanation:
y=3
3x-y=3
lets plug in 3 for y
3x-3=3
3x=6
x=2
the solution to this linear system of equations is:
(2,3)
Find the area of the circle use 3.14 for
Answer: 153.86 cm²
Step-by-step explanation: To find the area of the circle shown here, start with the formula for the area of a circle which is A = πr².
Notice that here, we're given the diameter instead of the radius.
Remember that the radius is equal to half of the diameter.
So the radius of this circle will be equal to half of 14 cm or 7 cm.
So plugging into the formula, we have (π)(7 cm)².
A common mistake is to plug 14 cm into the formula but remember
that we must plug in the radius and not the diameter.
Multiplying, (7 cm)² is equal to (7 cm)(7 cm) or 49 cm².
So we have 49π cm².
So the area of the circle shown here is 49π cm².
Now, remember that π is approximately equal to 22/7 or 3.14 so we
can estimate the area of the circle by plugging in 3.14 for π.
So we have (49)(3.14) which is equal to 153.86 cm².
So the area of the circle is approximately equal to 153.86 cm².
solve. Eight less than 7 times a number is 6. Find the number.
The word "less than" switches the order around.
So instead of 8 - 7n = 6, our equation is 7n - 8 = 6.
Solving from here, we add 8 to both sides to get 7n = 14.
Now divide both sides by 7 to get n = 2.
Answer:
The number is 2
Step-by-step explanation:
The fastest way to solve this it to retrace the steps. So.....
(7)(x)-8=6
6+8=14
14/7=2
Thus, 2 is your answer.
Please help! Correct answer only!
There is a spinner with 50 equally likely sections, numbered from 1 to 50. You have the opportunity to spin it. If the number is odd, you win $13. If the number is even, you win nothing. If you play the game, what is the expected payoff?
$___
Part 1 . " Spinner Problem "
Answer:
" Expected Payoff " ⇒ $ 6.5 ; Type in 6.5
Step-by-step explanation:
[tex]Spinner Sections - 50 Sections,\\Numbers On Spinner - 1 To 50,\\\\Odd = Even,\\Odd Numbers = 50 / 2 = 25,\\Even Numbers = Odd Numbers = 25,\\\\Probability Of Spinning Odd Number - 25 / 50 = ( Simplified ) 1 / 2,\\Money Won - 13 Dollars,\\\\Proportion - 1 / 2 = x / 13, Where - x = " Expected Payoff "\\\\1 / 2 = x / 13,\\2x = 13,\\x = 6.5 Dollars,\\\\Conclusion ; x = 6.5 Dollars[/tex]
Solution ; " Expected Payoff " $ 6.5
_____________________________________________________
Part 2 . " Ticket Problem "
Answer:
" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80
Step-by-step explanation:
Take the probability of winning into consideration;
[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]
Solution ; " Expected Payoff " ⇒ $ 1.80
1) An $1,000 investment is made in a trust fund at an annual percentage rate of 12%, compounded monthly. How long will it take the investment to reach $2,000?
2)If a $100 deposit is made at a bank that pays 12% per year, compounded annually, determine how long it will take for the investment to reach $2000.
3)Kelly invests $5000 with a bank. The value of her investment can be determined using the formula Y=5000(1.06)^t, where y is the value of the investment at time t, in years. Approximately how many years will it take for Kelly's investment to reach $20,000?
4)$2000 is invested at 5% per year, compounded semi-annually. How long will it take for the investment to triple in value?
Answer:
33 years, 7 months
Step-by-step explanation:
Using the compound interest formula Accrued Amount = P (1 + r/n)^(nt)
where Accrued amount (A) is the expected future balance
A = $8000
P = principal; $5000
r = 1.4% = 0.014
t = number of years
n = number of times interest is compounded = 12 for monthly
Therefore
8000 = 5000 (1 + 0.014/12)^(12t)
Therefore
(1.001167)^12t = 8000/5000
(1.001167)^12t = 1.6
finding the log of both sides
12t x log 1.001167 = log 1.6
12t = log 1.6 / log 1.001167
12t = 402.98
t = 402.98/12
t = 33.58
hence time to increase the balance is 33 years, 7 months
At a baseball game, 70% of people attending were supporting the home team, while 30% were supporting the visiting team. If 350 people attending the game supported the home team, what was the total number of people attending the game?
Answer:500 people
Step-by-step explanation:
70% = 0.70
.70x = 350
x = 350/.70
x = 500
Can someone help me.???!
Answer:
the answer is 9
Step-by-step explanation:
you multiply the 6 and 3 and get 18 and then divide by 2 to get 9
What is the sum of the geometric sequence 1, 3, 9, … if there are 14 terms?
Hey the question is attached pls answer
Answer:
55%
Step-by-step explanation:
We need to first find the total length of the side.
let remaining length be x
perimeter= 40cm
4 (s)=perimeter
4(7+x)=40
28+4x=40
4x=40-28=12
4x=12
x=12/4=3
total length= 7+3= 10cm
4+y= 10=
y=6
therefore, area of square= s*s= 10*10=100cm²
find areas of the two triangles (unshaded).
1/2*3*10= 15cm²
1/2*6*10= 30 cm²
15/100*100= 15%
30/100*100= 30%
shaded percentage= 100-(15+30)
= 100-45
= 55%
Please help with part b
Answer:
We have to use the summation in this case.
Step-by-step explanation:
total/frequency=mean
frequency= 2 + 8 + 4 + 10 + 6=30
0*2=0
1*8=8
2*4=8
3*10=30
4*6=24
total= 70
70/30= 7/3= 2.33333... ≈ 2 (goals cannot be in decimals!)
This should be the answer, I hope.
Someone please help me with my homework:(
Answer:
16
Step-by-step explanation:
The area of a triangle is b*h/2
4*8/2
=16
What is the measure of ∠S?
Answer:
30
Step-by-step explanation:
These two triangles are similar, thus they have equal angle measures.
Answer:
30
Step-by-step explanation:
all the interior angles in the triangle adds up to 180
85 + 65=150
180-150=30
