Gabriel purchases a rug priced at $475. With sales tax, the total comes out to $513. What is the sales tax percentage?
Answer:
The tax is 8%
Step-by-step explanation:
Take the final price and subtract the original price
513-475 = 38
Divide by the original price
38/475 =.08
Change to percent form
8%
The tax is 8%
Given that Sine theta = StartFraction 21 Over 29 EndFraction, what is the value of cosine theta, for 0 degrees less-than theta less-than 90 degrees? Negative StartRoot StartFraction 20 Over 29 EndFraction EndRoot Negative StartFraction 20 Over 29 EndFraction StartFraction 20 Over 29 EndFraction StartRoot StartFraction 20 Over 29 EndFraction EndRoot.
Answer:
[tex]cos\theta=\frac{20}{29}[/tex]
Step-by-step explanation:
Problem:
[tex]sin\theta=\frac{21}{29},cos\theta=?,0^\circ<\theta<90^\circ[/tex]
Given:
[tex]sin\theta=\frac{opposite}{hypotenuse}=\frac{21}{29}[/tex]
[tex]cos\theta=\frac{adjacent}{hypotenuse}=\frac{x}{29}[/tex]
Solve for adjacent side:
[tex]a^2+b^2=c^2[/tex]
[tex]x^2+21^2=29^2[/tex]
[tex]x^2+441=841[/tex]
[tex]x^2=400[/tex]
[tex]x=20[/tex]
Final answer:
[tex]cos\theta=\frac{20}{29}[/tex]
The value [tex]\rm Cos\theta[/tex] is 20/29 and it can be determined by using the Pythagoras theorem.
Given that,
The value [tex]\rm Sin\theta[/tex] is 21/29,
Where [tex]0^{\circ}< \theta<90 ^{\circ}[/tex].We have to determine,
The value of [tex]\rm Cos\theta[/tex]?
According to the question,
To determine the value of [tex]\rm Cos\theta[/tex] following all the steps given below.
The formula of [tex]\rm Sin\theta[/tex] is,
[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]
On comparing to the given value of [tex]\rm Sin\theta[/tex] is,
[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin\theta =\dfrac{21}{29}\\\\[/tex]
Here, Hypotenuse = 29, and Perpendicular = 21
Then,
The formula of [tex]\rm Cos\theta[/tex] is,
[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\[/tex]
Let, the base be x,
The value of base finding by using Pythagoras theorem,
[tex]\rm {(Hypotenuse)}2 = (Perpendicular)^2+ (Base)^2\\\\ (29)^2 = (21)^2 + (x)^2\\\\841= 441 +x^2\\\\x^2 = 841-441\\\\x^2 = 400\\\\x = 20[/tex]
The value of the base is 20.
Therefore,
[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\\rm Cos\theta =\dfrac{20}{29}\\\\[/tex]
Hence, The value [tex]\rm Cos\theta[/tex] is 20/29.
For more details about Pythagoras theorem refer to the link given below.
https://brainly.com/question/13710437
Helppp meeee please
Answer:
The Equation for lyft is:
4.50x
The Equation for uber is
2.50x+5
Step-by-step explanation:
If you want to determine which one is better then you can just plug in the distance in place of x. For example if it asked you which one was better for 5 miles, uber or lyft you could plug 5 into the equation.
It would look like this
Lyft: 4.50 (5)= 22.5
Uber
2.50 (5) +5= 17.5
If the distance were 5 miles uber would be the better option.
Plz help fast I will mark Brainlyist
Answer:
-4 -2 1 the top are 2/6 -2/8
Step-by-step explanation:
I don't know if that's right but yea hope that helps
What us y+3=-2 (6x-1)
Answer:
y=-12x-1
Step-by-step explanation:
Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression that represents Kali’s earnings for the week is shown.
2 (8 x) + 5 (box)
Which number should go in the box to complete the expression?
2
5
6
8
Answer:
8
Step-by-step explanation:
find the distance, midpoint, and slope of line AB. A(-2,-1) and B(6,3)
Answer:
[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]
[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]
[tex]Mindpoint =\left(2,\:1\right)[/tex]
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]
[tex]0 = arctan(\frac{y}{x} = 26.565051177078^o[/tex]
[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]
X = 6 – -2 = 8
Y = 3 – -1 = 4
Equation of the line:
y = 0.5x
When x=0, y = 0
When y=0, x = -0
Midpoint:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:3\right)[/tex]
[tex]=\left(\frac{6-2}{2},\:\frac{3-1}{2}\right)[/tex]
[tex]=\left(2,\:1\right)[/tex]
Why 10 is down how we get it?
The sum of a number and six is 22. What is the number?
Answer:
16
Step-by-step explanation:
22-6=16 16+6=22
hope this helps! :)
In right â†LMN, sin M = 0. 759. What is cos N? A. 0. 121 B. 0. 241 C. 0. 349 D. 0. 651 E. 0. 759.
The correct option is E. 0.579
Given, sin M = 0.759.
We have to find the value of cos N.
Since [tex]\Delta LMN[/tex] is right triangle.
We know that,
[tex]sin(90-\Theta)= Cos \Theta[/tex]
Assuming L is the right angle, So the other two angles are complementary.
Thus, [tex]cos(N) = sin(90-N) = sin(M)[/tex]
Hence,[tex]Cos(N)=Sin(M)[/tex]
Therefore the value of Cos N will be 0.759.
For more details on trigonometric ratio follow the link:
https://brainly.com/question/1201366
Ralph is on a diet. He currently weighs 248
pounds. How many pounds would he need
to lose if he wishes to weigh at most 195
pounds?
Answer:
53
Step-by-step explanation:
248-195 is 53
you should take his weight and then subtract the amount he wants to weigh
Answer:
53 pounds
Step-by-step explanation:
248 minus 195 which gives you 53
He needs to lose 53 pounds.
Hope that helped!
An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. Astronomers also use light years to measure distance. A light year is approximately 9.5×10^12
km.
Use scientific notation to rewrite the measure of one astronomical unit (1 AU) in kilometers
Using scientific notation, it is found that the measure of one astronomical unit in kilometers is [tex]1.5 \times 10^8[/tex]
A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
In which [tex]a \in [1, 10)[/tex]To realize the conversion from decimal to scientific notation, b is the number of decimal places the comma moves, being positive if to the left, negative if to the right.In this problem, 1 AU = 150,000,000 km.
The comma has to move 8 places to the right, hence [tex]b = 8[/tex]Then, the measure is: [tex]1.5 \times 10^8[/tex]
For more on scientific notation, you can check https://brainly.com/question/16394306
Anna is making soft toys she can sell at the fair. She can make 3 soft toys
in 5 hours. How many soft toys can she make in 20 hours?
OA) 10
OB) 12
OC) 16
OD 20
Answer:B
Step-by-step explanation:
20/5 = 4
4 x 3 =12
Answer:
C
Step-by-step explanation:
3x - 2 < 4
what is the solution for the inequality
Answer:
x<2
Step-by-step explanation:
If there were 24 coins in all, how many more gold coins than copper coins were in the jar?
Answer: 8 (I think)
Step-by-step explanation:
There are 24 coins in all. 1/2 gold coins and 1/6 copper coins.
1/2 of 24 is 12
1/6 of 24 is 4
12 - 4 = 8
So there are 8 more gold coins than copper.
Please help I don't understand i'm in the lowest class?
Answer:
Step-by-step explanation:
f(x) = -x - 14
Find x if f(x) = -2
Answer:
x = -12
Step-by-step explanation:
First, you want to plug in f(x)'s value into the equation.
-2 = -x-14
Then solve for x:
x=-14+2
x=-12
ANSWER IT!!! I ONLY HAVE MINUTES
Answer:
D
Step-by-step explanation:
5 + n is the sum of 5 and a number
amd then "less than or equal to -7" represents the no more than -7
Answer:
D
Step-by-step explanation:
To the moderator that deleted my answer, that was not necessary in the slightest. Go back to reporting bots, not removing correct answers that are put there to help people
The lawn is a circle with radius 3m.
Work out the area of the lawn.
Answer:
28.27m
Step-by-step explanation:
the formula for area of a circle is
A= π x r^2
A = π x r^2 = π x 3^2 = 28.27433
Where is 0.5 on the graph? I have to do ( 0.5, 4)
Answer:
It would be between the 0 and the 1 on the horizontal line
0.5 is where the blue dot is, then for 0.5 , 4 just go up 4 from there
Can i get some help :
Answer:
New Price = 1.55c
Step-by-step explanation:
Since we are asked to represent the original cost of the toy as c, and not it's actual cost of ($9.84 - $3.49, or $6.35), I'll assume the question is interested only in the relative price increase. The relative increase is 3.49/6.35 or 55%. The new price is 155% or 1.55 times the original price.
That means we have New Price = 1.55c
What are the steps to convert a number from standard notation to scientific notation?
Answer:
Consider a big number 3,400,000. To convert this number into scientific notation:
Place a decimal by counting the steps to the left until the coefficient of the number is between 1 and 9.
Count the number of steps moved. This will be the power of the base 10.
In this case, the coefficient is 3.4 and the 6 steps are moved.
Multiply the coefficient by 106,
Therefore, the answer is 3. 4 x 10 6
Step-by-step explanation:
Leo solved the equation b = 12 a−1−−−−−√3 for a, but made an error. His work is shown. Complete the sentences that follow.
The value of a in terms of b is given as [tex]a = 8b^3[/tex]
Given the equation solved by Leo expressed as [tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]
We are to solve the equation for the variable "a"
Given;
[tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]
Cross multiply
[tex]2b=\sqrt[3]{a-1}[/tex]
Cube both sides of the equation:
[tex](2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1[/tex]
Add 1 to both sides of the equation:
[tex]8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3[/tex]
Hence the value of a in terms of b is given as [tex]a = 8b^3[/tex]
Learn more on subject of formula here: https://brainly.com/question/657646
please help me with this
Answer:
-9
Step-by-step explanation:
a(2) = a(1)+4 = -13+4 = -9
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 40
pizzas in all, 40% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?
Answer
16 mushroom pizzas
does the table represent a function, -3, 6, -2,9, 0,4, -2,5
Answer:
No. There are two solutions to the point x=-2: 9 and 5.
Step-by-step explanation:
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.
Directions: Name the coefficient (s) in the following expressions:
1. 9s + 4t
2. 46rs + 10x
3. 18q + 14x
4. 10x + 14y
5. 17rs + 32x
6. 5x + 7y - 5z
7. 3ab + 70m
8. 3r + 20a + 10m
9. 7k + 16m
10. 7r + 5s
11. 9j + 120m
12. 12k + m
13. 6c + 15h + w
14. 2c - 19d + 12f
15. 3t + 14r - 31j
can someone just answer god
Answer:
Coeffecients are the letters before the numbers.
1. 9 and 4
2. 40 and 10
3. etc
Step-by-step explanation:
How to solve this question?
Answer: -3
Step-by-step explanation:
The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]
omg please i need help this is worth sm pointssss PLEASE BESTIES
Answer: 1. don't call me your bestie...
2. the answer is A. 72 B. 75 C. 55 D. 52 E. 112 F. 55 G. I'm not sure what G is
In a bar graph space between rectangles is always
Answer:
the same
Step-by-step explanation:
Not as histograms where space must equal 0 as calculating area is needed.