Answer:
Rs 968
Step-by-step explanation:
Given :-
P = Rs 800 Rate = 8% Time = 2 yrs .To Find :-
Compound Interest .Solution :-
We know CI as ,
> CI = P ( 1 + R/100)ⁿ
> CI = Rs 800 ( 1 + 10/100)²
> CI = Rs 800 × 11/10 × 11/10
> CI = Rs 968 .
factor 36x + 18 + 12y using GCF HURRY!!!!
Answer:
6x + 3 + 2y
Step-by-step explanation:
The GCF is 6 as thats the largest factor, so you divide the numbers by 6.
6x + 3 + 2y
Please help me figure out the 3 answers for each letters. PLEASE will be marked as brainliest if correct:))
Answer:
Step-by-step explanation:
Our interval is 180 to 270 so that's quadrant III. In quadrant 3, both x and y are negative. If we set up our right triangle in this quadrant and label it accordingly with the values given for tangent theta, we find that the missing length is the hypotenuse. Solve for that using Pythagorean's Theorem. Doing that gives us that the hypotenuse is [tex]\sqrt{61}[/tex]. Now we can solve for your other identities. First,
[tex]cos(2\theta)=2cos^2\theta-1[/tex] (There are 3 identities for cos(2θ) and regardless of which one you pick, the answer will be the same every time...promise!)
Filling in now:
[tex]cos(2\theta)=2(\frac{-5}{\sqrt{61} })^2-1[/tex] and simplified a bit:
[tex]cos(2\theta)=2(\frac{25}{61})-1[/tex] and a bit more:
[tex]cos(2\theta)=\frac{50}{61}-\frac{61}{61}[/tex] giving us, finally:
[tex]cos(2\theta)=-\frac{11}{61}[/tex]
Now for b. We have an identity for the half angle of sin:
[tex]sin(\frac{\theta}{2})=[/tex] ±[tex]\sqrt{\frac{1-cos\theta}{2} }[/tex] and filling in:
[tex]sin(\frac{\theta}{2})=[/tex] ±[tex]\sqrt{\frac{1-(-\frac{5}{\sqrt{61} } )}{2} }[/tex] which simplifies a bit to:
[tex]sin(\frac{\theta}{2})=[/tex] ±[tex]\sqrt{\frac{1+\frac{5}{\sqrt{61} } }{2} }[/tex] and a bit more to:
[tex]sin(\frac{\theta}{2})=[/tex] ±[tex]\sqrt{\frac{\sqrt{61}+5 }{2\sqrt{61} } }[/tex] I'm not sure if this is the form you need it in, but this is the answer, as convoluted and crazy as it may look.
As for the cosine half-angle, the identity is the same, except there's a + sign in the numerator of the identity instead of a -, giving us the solution:
[tex]cos(\frac{\theta}{2})=[/tex] ±[tex]\sqrt{\frac{\sqrt{61}-5 }{2\sqrt{61} } }[/tex]
HELP I NEED HELP PLS IM FAILING ITS PYTHAGOREAN THEOREM
2^2 + 2^2 = h^2
8 = h^2
√8 = h
h = 2.82mm
Answered by Gauthmath must click thanks and mark brainliest
The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M′?
Answer:
(-4, -4)
Step-by-step explanation:
On a 2D graph, moving to the right means going up the x axis, to the left means down the x axis, up means up the y axis, and down means down the y axis.
The point is translated 2 units to the right. This means that it is going up the x axis by two units. As it is going up, we can say that it is increasing. Therefore, on a coordinate (x,y), going up the x axis means we add to the x value. For the point (-6, -4), we add 2 to the x value, or -6, to get -6+2 = -4 as our new x value.
Our new end value is (-4, -4)
If it takes a team of three painters to paint a 7-room house in a day, how many painters are required to paint a 14-room house in a day?
Answer: 6 Painters
Step-by-step explanation:
Total painters needed to paint 7-room house = 3 painters
Rooms painted by each painter = 3/7
Total painters needed to paint 14-room house = 3/7×14
= 42/7
= 6 painters
Therefore it will require 6 painters to paint 14-room house
please click thanks and mark brainliest if you like :)
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Esmerelda is a math student who needs to gather a sample of 10 participants to conduct a survey about U.S. residents. She asks her 3 siblings, her 2 parents, and telephones 5 friends and asks them to complete her questionnaire. This is an example of a ______________________.
A. convenience sample
B. systematic sample
C. self-selecting sample
D. representative sample
Answer:
Representative sample is your answer ....
Find X round to the nearest tenth.
Answer: 83 degrees
Step-by-step explanation:
(16^2 + 8^2 - 17^2)/(2)(16)(8) = 83
In the diagram what is the length of the 3rd side?
Answer:
Step-by-step explanation:
Use Pythagorean's Theorem:
[tex]c^2=15^2+8^2[/tex] and
[tex]c^2=225+64[/tex] and
[tex]c^2=289[/tex] so
c = 17
James is having a BBQ. Burgers come in packs of 12
and buns come in packs of 8. How many packs of each
will James need to buy so that he has no spares?
Answer:
2 packs of Burgers, 3 Packs of Buns
Answer:
He will need to buy 2 packs of burgers. And 3 packs of buns.
Step-by-step explanation:
The lowest common number that 12 and 8 Share is 24. 12×2=24 8×3=24
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and standard deviation of 1.7 years. The 10% of items with the shortest lifespan will last less than how many years?
Answer:
3.6 years
Step-by-step explanation:
Using the standard normal probability distribution table, we obtain the Zscore which is 10% to left of the distribution.
The Zscore gives, - 1.282
To obtain the number of years, let this be x ;
Recall, the Zscore formula :
Zscore = (x - μ) / σ
x = number of years
μ = 5.8
σ = 1.7
Zscore = (x - μ) / σ
-1.282 = (x - 5.8) / 1.7
-1.282 * 1.7 = x - 5.8
-2.1794 = x - 5.8
-2.1794 + 5.8 = x
x = 3.6206
x = 3.6 years
Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento viene del Sur con la velocidad de 40 km por hora cuál es la dirección de su vuelo
Answer:
84,3 ° Sureste
Step-by-step explanation:
El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.
La dirección del avión es la dirección de la velocidad resultante.
Si esta dirección es θ
θ = tan ^ -1 (400/40)
θ = 84,3 ° Sureste
The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.
Calculate angle PRO.
Answer:
m<PQR = 18.7°
Step-by-step explanation:
Apply the Law of Sines,
[tex] \frac{Sin A}{a} = \frac{Sin B}{b} [/tex]
Where,
Sin A = Sin 140
a = 100 m
Sin B = Sin R (<PRQ)
b = 50 m
Substitute
[tex] \frac{Sin 140}{100} = \frac{Sin R}{50} [/tex]
Cross multiply
[tex] 100*Sin(R) = 50*Sin(140) [/tex]
Divide both sides by 100
[tex] Sin(R) = \frac{50*Sin(140)}{100} [/tex]
[tex] Sin(R) = 0.32139 [/tex]
[tex] R = Sin^{-1}(0.32139) [/tex]
R ≈ 18.7° (nearest tenth)
m<PQR = 18.7°
The angle PRO is 1.7 degrees.
Given that,
The diagram shows three points P, Q, and R on horizontal ground.
PQ = 50 m, PR = 100 m and angle PQR = 140°.
We have to determine,
The angle PRO.
According to the question,
The value of angle PRO is determined by using the sin rule-following all the steps given below.
[tex]\rm \dfrac{sina}{a} = \dfrac{sinb}{b}[/tex]
Where, Sin A = Sin 140 , a = 100 m , Sin B = Sin R (<PRQ) , b = 50 m
Substitute all the values in the formula,
[tex]\rm \dfrac{sin140}{100} = \dfrac{sinR}{50}\\\\ \dfrac{0.64}{100} = \dfrac{sinR}{50}\\\\0.0064 = \dfrac{sinR}{50}\\\\0.0064 \times 50 = sinR\\\\0.321 = sinR\\\\R = sin{-1}(0.321)\\\\R = 18.7 \ degree[/tex]
Hence, The angle PRO is 1.7 degrees.
For more details refer to the link given below.
https://brainly.com/question/12895249
Josie has 43 animal books and 29 art books. She puts all the books on 8 shelves. She puts the same number of books on each shelf.
How many books does Josie put on each shelf? Enter the answer in the box.
books
Answer:
9 books
Explanation:
Number of animal books = 43
Number of art books = 29
So, total number of books
= Number of animal books + Number of art books
= 43 + 29
= 72
Number of books in each shelf, if divided equally
= Total number of books/Number of shelfs
= 72/8
= 9
So, each shelf has 9 books in it.
I want a simple explanation on how to get the answer to this question not just the answer.
20° + 2pº
70°
p =
degrees
[tex]\\ \sf\longmapsto 20°+2p=70[/tex]
[tex]\\ \sf\longmapsto 2p=70-20[/tex]
[tex]\\ \sf\longmapsto 2p=50[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{50}{2}[/tex]
[tex]\\ \sf\longmapsto p=25[/tex]
A giant pie is created in an attempt to break a world record for baking. The pie is shown below: A circle is shown with a central angle marked 38 degrees and the diameter marked 20 feet. What is the area of the slice of pie that was cut, rounded to the nearest hundredth? 22.08 ft2 13.19 ft2 33.14 ft2 28.97 ft2
Answer:
33.14 ft^2
Step-by-step explanation:
First find the area of the circle
The diameter is 20 ft so the radius is 1/2 of the diameter of 20*1/2 = 10 ft
A = pi r^2 = pi ( 10)^2 = 100 pi
The central angle is 38
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth
33.14 ft^2
The area of the slice of pie that was cut, rounded to the nearest hundredth 33.14 ft^2.
We have to first find the area of the circle.
The diameter is 20 ft so the radius is 1/2 of the diameter of
20*1/2 = 10 ft.
What is the area of the circle?
The area of a circle [tex]A = \pi r^2[/tex]
By using the formula we have,
A= pi ( 10)^2
A = 100 pi
The central angle is 38.
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth, it is 33.14 ft^2.
To learn more about the circle visit:
https://brainly.com/question/24375372
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side / adj side
tan 30 = sqrt(3) / x
x tan 30 = sqrt(3)
x = sqrt(3) / tan 30
x =sqrt(3) / (1 / sqrt(3))
x = sqrt(3) * sqrt(3)
x = 3
Part 2
5. -0.3 ÷ (-0.27)
6. -5.5 ÷ 0.021
7. -412 ÷ -334
8. 7.75 ÷ ( -123)
Answer:
5. -10/9
6. -5500/21
7. 1 39/167
8. -31/492
A changes
16. By accident, 6 burned out bulbs have been mixed in with 16 good ones, Ken is replacing old bulbs in his house. If he selects two bulbs at random from the box of 22, what is the
probability they both work?
Answer: 8/11
Step-by-step explanation:
This is because there are a total of 22 bulbs. 16 of those bulbs work, giving us the fraction: 16/22. If you simplify 16/22 by dividing the numerator and denominator by 2, you get 8/11.
=================================================
Explanation:
There are 16 working bulbs out of 6+16 = 22 bulbs total.
The probability of randomly selecting a working bulb is 16/22
After that first bulb is selected and not put back, the probability of randomly selecting another working bulb is 15/21. Take note that I subtracted 1 from each part of the original fraction.
So we get the answer of
(16/22)*(15/21) = 240/462 = 40/77 which is choice C.
------------
Extra info:
Choice A is only true if Ken puts the first selection back. You would compute (16/22)*(16/22) = 64/121. However, it sounds like he's not doing replacement. So whatever is selected is not put back. This is why I ruled out choice A.Choice B is ruled out as well because 16/22 = 8/11 refers to the probability of one working bulb (instead of 2 in a row)It's not clear how the fraction of choice D is formed, but we can rule it out because choice C is the answer.please finish this equation and write the answer
Given:
The equation is:
[tex]2540=\dfrac{22}{7}r^2(20)[/tex]
To find:
The solution for the given equation.
Solution:
We have,
[tex]2540=\dfrac{22}{7}r^2(20)[/tex]
It can be written as:
[tex]\dfrac{2540\times 7}{22\times 20}=r^2[/tex]
[tex]\dfrac{17780}{440}=r^2[/tex]
[tex]\dfrac{889}{22}=r^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{\dfrac{889}{22}}=r[/tex] [Radius cannot be negative]
[tex]r=6.3568145[/tex]
[tex]r\approx 6.36[/tex]
Therefore, the value of r is about 6.36 cm.
HELP ASAP ILL GIVE BRAINLIST
The probability of a red candy being selected from a bowl is 0.9, and the probability of a pink frosted animal cookie being taken out of a different bowl is 0.4. What is the probability of getting both a red candy and a pink cookie?
Answer:
0.36
Step-by-step explanation:
To find the probability, just multiply.
probability of red candy * probability of pink cookie
0.9*0.4=0.36
I hope this helps!
9x mũ 2 + 6x + 1 cho mình hỏi câu này ạ
Answer:
can you translate in english,would be better...
answer maybe wrong because of the language but stil....
9x(2+6x+1)
=9x(9x)
81x..
factor and solve the problem in the photo ……. pleaseeee helppppp i havent done algebra in 2 years
Answer:
Not factarable, all terms must be in x. or y
Step-by-step explanation:
What is the measure of m?
Answer:
12
Step-by-step explanation:
bc it is
đưa về phương trình tích: f(x)=3x^2-2x-1
f(x)=3x²+x-3x-1
=x(3x+1)-(3x+1)
=(x-1)(3x+1)
Quick Question, can someone explain to me how 5x-6 equal 34?
Answer:
x = 8
Step-by-step explanation:
5x-6 = 34
Add 6 to each side
5x-6+6 = 34+6
5x = 40
Divide by 5
5x/5 = 40/5
x = 8
5x - 6 = 34. You have to do inverse operation. Since its -6, you have to do + 6 on both sides. so now, -6 gets canceled. and 34 + 6 is 40. All ur left with now is 5x = 40, 40 divided by 5 = 8
Find the value of x in each case:
Please help me
It's an easy 40 points if you answer this
Answer:
x = 45
Step-by-step explanation:
The angles labeled with the pink x are the same. Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.
We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180
x+x+ 2x = 180
4x= 180
4x/4 = 180/4
x = 45
Emma rides a bicycle 16 miles east and then 15 miles north. About how far is she from her starting point?
Step-by-step explanation:
starting pt.
root 16²+15²
= 256 + 225
=481
distance= 22 miles aprox.Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if
necessary. please help !
Answer:
Step-by-step explanation:
Volume of a cuboid = length × breadth × height
lenth = 7
Breadth = 10
Height = 9
7 x 10 x 9
= 630 yd^2
Answered by G a u t h m a t h
please mark it as brainliest and thank it, if it helped you!
Factor.
20x2 – 19x + 3
Answer:
Here is your answer!
