The original price of the play station is $620.
Given that, the cost of the play station=$558 and discount=10%.
We need to find the original price of the play station.
What is a discount?The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for.
Let the original price be x.
Now, x-10% of x=558
⇒x-0.1x=558
⇒0.9x=558
⇒x=$620
Therefore, the original price of the play station is $620.
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Use the suggested substitution to write the expression as a trigonometric expression. Simplify your answer as much as possible. Assume 0≤θ≤π2.
[tex]\sqrt{9x^2+36[/tex] , x/2=cot(∅)
Answer:
[tex]\sqrt{9x^2+36} = 6 \csc(\theta)[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{2}=\cot(\theta)[/tex]
Required
Express [tex]\sqrt{9x^2+36}[/tex] as trigonometry expression
[tex]\sqrt{9x^2+36}[/tex]
Factorize
[tex]\sqrt{9x^2+36} = \sqrt{9(x^2+4)}[/tex]
Split
[tex]\sqrt{9x^2+36} = \sqrt{9} * \sqrt{(x^2+4)}[/tex]
[tex]\sqrt{9x^2+36} = 3 * \sqrt{(x^2+4)}[/tex]
[tex]\sqrt{9x^2+36} = 3\sqrt{(x^2+4)}[/tex]
We have:
[tex]\frac{x}{2}=\cot(\theta)[/tex]
Make x the subject
[tex]x = 2 \cot(\theta)[/tex]
So:
[tex]\sqrt{9x^2+36} = 3\sqrt{(x^2+4)}[/tex]
[tex]\sqrt{9x^2+36} = 3\sqrt{((2 \cot(\theta))^2+4)}[/tex]
Evaluate all squares
[tex]\sqrt{9x^2+36} = 3\sqrt{4\cot^2(\theta)+4}[/tex]
Factorize
[tex]\sqrt{9x^2+36} = 3\sqrt{4(\cot^2(\theta)+1)}[/tex]
Split
[tex]\sqrt{9x^2+36} = 3\sqrt{4} * \sqrt{\cot^2(\theta)+1}[/tex]
[tex]\sqrt{9x^2+36} = 3*2 * \sqrt{\cot^2(\theta)+1}[/tex]
[tex]\sqrt{9x^2+36} = 6 * \sqrt{\cot^2(\theta)+1}[/tex]
In trigonometry
[tex]\cot^2(\theta)+1 = \csc^2(\theta)[/tex]
So, we have:
[tex]\sqrt{9x^2+36} = 6 * \sqrt{\csc^2(\theta)}[/tex]
Evaluate the square root
[tex]\sqrt{9x^2+36} = 6 * \csc(\theta)[/tex]
[tex]\sqrt{9x^2+36} = 6 \csc(\theta)[/tex]
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a 6 and flipping tails is
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a number less than 3 and flipping tails is
.
You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a number less than 3 and flipping tails is
.
.
Answer:
0
Step-by-step explanation:
there is no 6 option on the spinner
Someone please help me answer this correctly!!
Answer:
The answer would be 8 < Rad 70 < 9 .
Step-by-step explanation:
Hope it was helpful & correct :D
-Mojd.
find the missing length
I NEED HELP PLEASE, THANKS!!!!
Answer:
9809.223
Step-by-step explanation:
8700 * 1.1274968
9809.223
Cameron has a balance of $10,200 on his credit card. He threw the card away so he can never use it again. He has 3.5 years to pay off the balance. The interest rate on his card is 21%.
At the end of the 3.5 years, how much money in interest alone will Cameron have paid?
When Cameron finally pays off his credit card, how much will he have paid in all?
Answer:
the interest is $9,676.91 and the future value amount is $19,876.91
Step-by-step explanation:
The computation is shown below;
The future value is
= Present value × (1 + rate of interest)^number of years
= $10,200 × (1 + 0.21)^3.5
= $19,876.91
Now the interest amount is
= Future value - present value
= $19,876.91 - $10,200
= $9,676.91
Hence, the interest is $9,676.91 and the future value amount is $19,876.91
Factoring out the GCF of the polynomial 2x^6+2x^5 will give
Can someone pls help. Thx :) I give Brainliest :D
Answer:
36 flowers are left over
Step-by-step explanation:
54 is 60% of 90
90-54=36
please help me out, god bless you. dont answer with a link or just steal points plz, I really need help
Answer:
x = 12 radical 2 ithink these is ansewer
Find the value of x. Round to the nearest tenth.
Can somebody plz help me with 16 and 19
Answer:
BRAINLIESTTTTYSYDEUJEJE JJ3JEHSSNAAKPLEASE HELP ME PLEASEE
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: A= 1 b= -8 c= -20
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
a = 1
b = -8
c = -20
Step-by-step explanation:
⚠️URGENT PLS HELP
LINKS WILL BE REPORTED
Answer:
e and c
Step-by-step explanation:
0.782 ___ 0.784
I Need HElP NOW!
Answer:
0.783, just look at the pattern.
If you're comparing, this is the answer:
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Please help
The formula for the Volume...
Answer:
cones
Step-by-step explanation:
Volume of a cone:
V = (1/3)πr2h
A 12-kg bag of mangoes costs $9.00
Answer:
I think it would be around $1.33 for each kg
Step-by-step explanation:
You would divide 12 by 9. Once you do that, you get 1.33
George Washington looks kinda different here ngl
Answer:
Yeah you know something might be a little off
Answer: yeah ur right but I’m confused if he’s really George Washington. I’m not sure I don’t think George Washington
Step-by-step explanation:
What is the area of the shaded segment ?
9514 1404 393
Answer:
5.1 cm²
Step-by-step explanation:
The area of a segment is given by the formula ...
A = 1/2r²(α -sin(α)) . . . . . where α is the central angle in radians
For this segment, its area is ...
A = 1/2(6 cm)²(7π/18 -sin(70°)) ≈ 5.077 cm²
The area of the segment is about 5.1 square centimeters.
_____
The angle is converted to radians by multiplying by π/180°. Then a 70° angle is π(70°/180°) = 7π/18 radians.
Perform the following subtraction - 1/2 - (- 7/10)
Answer:
1.2
I t is the answer
Question 11. What is the product of 1.6 x 10- and 3.2 x 10' A. 5.12 x 10-4 B. 5.12 x 10 C.5.12 x 10 D. 5.12 x 104 please help will mark as brallinat
Answer:
A- [tex]5.12*10^{-4}[/tex]
Step-by-step explanation:
1.6* 3.2
add the exponents so 10 to the -4
24+z/10 = 31 solve for Z
What is the vertex of the graph of
y = 2(x + 6)^2 – 2?
O A. (2.6)
O B. (-6,2)
O C. (-6, -2)
O D. (6,-2)
Since one refraction cup is half of a cylinder, how could you change the formula for the volume of a cylinder to calculate the volume of a refraction cup?
Answer:
Although a cylinder is technically not a prism, it shares many of the properties of a prism. Like prisms, the volume is found by multiplying the area of one end of the cylinder (base) by its height.
Step-by-step explanation:
4 less than the product of 8 and a number is equal to 6
Find two consecutive whole numbers that
82 lies between.
Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100
The hypotenuse of a right triangle measures 11 cm and one of its legs measures 1 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
10.9 is the length of the other leg
Step-by-step explanation:
use the reverse Pythagorean therm
the square root of 11(squared) - 1(squared) = 10.9
Pentagon PQRST is shown on the coordinate grid below. Given that the pentagon was translated 6 units to the right and labeled P'Q'R'ST'. what are the coordinates of T'? HE
Answer:
i think its X=0
hopes it helps
Step-by-step explanation:
solve the system of equations -3x+2y=-3 and -x-y=-11 by combining the equations
Answer:
-4x, 1y, -14
Step-by-step explanation:
Hope this helps :)
value of x if 3x+2y=11 and 5x-y=14
Answer:
3x + 2y = 11
3x + y = 11 - 2
3x + y = 9
x + y = 9/3
x + y = 3
x = 3 - y
5x - y = 14
x - y = 14/5
x - y = 2.8
x = 2.8 + y
14Answer:
3
Step-by-step explanation:
solve for y in first equation
5x-y=14
-y=14-5x
y=5x-14
substitute y value (5x-14) into 2nd equation
3x+2 (5x-14)=11
3x+10x-28=11
13x=39
x=3
20 POINTS!! PLEASE HELP!! GIVING BRAINLIEST:)
Answer:
d
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 5 x + 6 = 0
The left hand side factors into a product with two terms:
(x + 2) (x + 3) = 0
Split into two equations:
x + 2 = 0 or x + 3 = 0
Subtract 2 from both sides:
x = -2 or x + 3 = 0
Subtract 3 from both sides:
Answer: |
| x = -2 or x = -3
if P = 5, 4 find the image of P under the following rotation
Answer:
(-4,5)
Step-by-step explanation:
90 degree rotation = (-y,x)
