Answer:
Rs 17Step-by-step explanation:
Solution,
Marked price ( MP ) = Rs 20
Discount % = 15%
Selling price ( SP ) = ?
let's find the discount amount:
Discount amount = Discount % of MP
plug the values
= 15% of 20
Calculate
= Rs 3
Discount amount = Rs 3
Now, let's find the SP
Selling price ( SP ) = MP - discount amount
plug the values
= Rs 20 - Rs 3
Calculate the difference
= Rs 17
Hope this helps..
Best regards!!
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
Answer:
84 squared units.
Step-by-step explanation:
In order to find the surface area of the pyramid, you use the following formula:
[tex]S=b^2+\frac{1}{2}ps[/tex] (1)
b: base of the pyramid = 6
p: perimeter of the base = 6*4 = 24
s: slant height
Then, you first calculate the slant height, by using the Pythagoras' theorem:
[tex]s=\sqrt{(5)^2-(\frac{6}{2})^2}=4[/tex]
Thus, you replace the values of b, p and s in the equation (1):
[tex]S=(6)^2+\frac{1}{2}(24)(4)=84[/tex]
The surface area of the pyramid is 84 squared units.
Answer:
Step-by-step explanation:
wrong
what is the equation of the following line (10 -2) (0 0) a. y= -5x b. -x c. y= 5x d. -1/5x e. y= x f. y= 1/5x
Answer:
Step-by-step explanation:
(0+2)/(0-10)= 2/-10 = -1/5
y - 0 = -1/5(x - 0)
y = -1/5x
solution is D
please helppppppp !!!
Answer:
64
Step-by-step explanation:
Supplementary angles add up to 180. Since you are given one, just subtract 116 from 180 to get 180 - 116 = 64.
Angle EFB is 108º a)Find the size of angle x. b) which one of these justifies your answer? A-corresponding angles B- Alternate angles C- vertically opposite angles
Answer:
a) x° = 108°
b) vertically opposite angles (C) justifies my answer.
Answer:
The answer is option c.
Its an vertically opposite angle because when two lines intersect eachother then theangles formed opposite to it is called v.o.a (vertically opposite angle)
Hope it helps...
819 : 17 =?
Write your answer as a whole number and remainder.
R
Answer:
117 R=0
Step-by-step explanation:
819:7= 117 R=0
Which of the following is the product of the rational expressions shown
below?
Answer:
The answer is b
Step-by-step explanation:
since 2*9=18 and (x)(2x+3)=2x^2+3x
Answer: B
Step-by-step explanation:
Please answer this question now
Since HJ is tangent to circle G, it forms a right angle with the radius that intersects it.
This means HG and HG are perpendicular and we have a right angle.
We have a (right) triangle with angle measurements 43 and 90, and we want to find the value of the last angle.
All the angles in a triangle must add up to 180, thus we can create the following equation to find the measurement of the last angle:
[tex]180-90-43[/tex]
[tex]=47[/tex]
The measure of angle G is 47 degrees. Let me know if you need any clarifications, thanks!
Answer:
<G = 47 degrees
Step-by-step explanation:
For this problem, we need to understand two things. This tangent on the circle, with a line drawn to the center, forms a right angle at H. Additionally, the sum of the angles of a triangle is 180. Now with these two things, let's solve.
<G = 180 - (43 + 90)
<G = 180 - 133
<G = 47 degrees
Hope this helps.
Cheers.
simplify 4551 * 5541
Answer:
25,217,091
Step-by-step explanation:
4551 * 5541 = 25,217,091
Answer:
4551*5541=25217091
Step-by-step explanation:
A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed below, includes information they have either researched or measured. They need to build a tunnel from the point E to the point H on the sketch. Calculate the distance from E to H. When similar triangles are used, explain how you know they represent similar triangles before performing the calculation.
Answer:
498 m
Step-by-step explanation:
The AAA theorem states that triangles are similar if all three corresponding angles are equal.
1. Compare triangles FHS and ILS
(a) Reason for similarity
∠F = ∠I = 90°
∠S is common.
∴ ∠H = ∠L
(b) Calculate SL
[tex]\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}[/tex]
2. Compare triangles ILS and GLE
(a) Reason for similarity
∠I = ∠G = 90°
∠L is common.
∴ ∠S = ∠E
(b) Calculate LE
[tex]\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}[/tex]
3. Calculate EH
LE + EH + HS = LS
304.0 m + EH + 380 m = 1182 m
EH + 684 m = 1182 m
EH = 498 m
The distance from E to H is 498 m.
WILL GIVE BRAINLEST ANSWER IF ANSWERED IN 24 HOURS Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 132 c = 330
I need this answered in ONE minute
Place the indicated product in the proper location on the grid. Write your answer in descending powers of x. (x^ 2 + 3x + 1)(x^2 + x + 2)
Answer:
[tex]x^4 + 4x^3 + 6x^2 + 7x + 2[/tex]
Step-by-step explanation:
We are asked to multiply the given polynomials.
[tex](x^ 2 + 3x + 1) \times (x^2 + x + 2)[/tex]
Multiply each term of the first polynomial to each term of the second polynomial.
[tex]x^ 2 \times (x^2 + x + 2) = x^4 + x^3 + 2x^2[/tex]
[tex]3x \times (x^2 + x + 2) = 3x^3 + 3x^2 + 6x[/tex]
[tex]1 \times (x^2 + x + 2) = x^2 + x + 2[/tex]
Add the results
[tex](x^4 + x^3 + 2x^2) + (3x^3 + 3x^2 + 6x) + ( x^2 + x + 2)[/tex]
Combine the like terms
[tex]x^4 + 4x^3 + 6x^2 + 7x + 2[/tex]
The answer is written in descending powers of x.
An infinite geometric series converges if the common ratio is
Answer:
a proper fraction
The length of the room is 2½ times the breadth. The perimeter of the room is 70 m. What are the length and breadth of the room?
Answer:
length=25m
breadth=10m
Step-by-step explanation:
2.5units+2.5units+1unit+1unit=7units
70/7=10
length=10x2.5=25
breadth=10
(sorryy im not really sure but i hope it helps :D)
Answer:
Length = 25 cm
Breadth = 10 cm
Step-by-step explanation:
Let breadth of the room be 'x'
Let length of the room be ''
Perimeter ( P ) = 70 cm
Now, let's find the breadth of the room 'x '
Perimeter of rectangle = 2(l+b)
plug the values
70=2(2.5x+x)
Collect the like terms
70=2x3.5x
Calculate the product
70=7x
Swap the sides of the equation
7x=70
Divide both sides of the equation by 7
7x / 7= 70/7
Calculate
x=10cm
Breadth = 10 cm
Now, Let's find the length of the room ' 2.5x '
Length of the room = 2.5x
Plug the value of X
2.5x10
Calculate the product
25cm
Thus , The length and breadth of the room is 25 cm and 10 cm respectively.
Hope this helps..
Best regards!!
can u solve these asap pls
Step-by-step explanation:
1We will use the Thales theorem since ED and CB are parallel and A,D and B are in the same lign wich is the same for C,E and A
[tex]\frac{x}{12}[/tex] = [tex]\frac{2}{2+4}[/tex] [tex]\frac{x}{12}[/tex] = [tex]\frac{2}{6}[/tex] [tex]\frac{x}{12}[/tex] = [tex]\frac{1}{3}[/tex] x= [tex]\frac{12*1}{3}[/tex] x= 4 2since we have two similar sides and one similar angle between them it will be SAS similarity
A square has diagonals of length 10 cm. Find the sides of the square
Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The diagonal divides the square into 2 right triangles.
let s be the side of the square with the diagonal being the hypotenuse.
Applying Pythagoras' identity to one right triangle, gives
s² + s² = 10² , that is
2s² = 100 ( divide both sides by 2 )
s² = 50 ( take the square root of both sides )
s = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex]
Any help with this please???? Running out of time!
Answer:
Sin A = 21/29Step-by-step explanation:
[tex]Using\: A \: as\: a\: refernce\: angle ;\\Hypotenuse = 29\\Opposite =21\\Adjacent = 20\\\\Using \: SOHCAHTOA\\Sin A = \frac{Opposite}{Hypotenuse} \\\\Sin A = \frac{21}{29}[/tex]
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
The range consists of all real numbers where y ≠ 0
Step-by-step explanation:
reciprocal parent function is y = 1/x
If y = 0, then 1 would have to be divided by a number to equal 0. This would require x to equal a number that can divide 1 to equal 0. Because this is not possible, y cannot be 0.
Please help me! I am really struggling with this...
Answer:
44°
Step-by-step explanation:
The secant- secant angle y is half the difference of the measure of its intercepted arcs, that is
[tex]\frac{1}{2}[/tex](BHF - CGJ ) = y , that is
[tex]\frac{1}{2}[/tex](156 - CGH) = 56° ( multiply both sides by 2 )
156 - CGH = 112° , thus
CGH = 156° - 112° = 44°
Find the coordinates for the equation.
{y=-x^2+5
{-x+y=3
Answer:
I hope you will get help from these...
How to do this question plz answer me step by step plzz plz
Answer:
x=10 cm
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
x^2 + ( sqrt(200) )^2 = (sqrt(300))^2
x^2 +200 = 300
Subtract 200 from each side
x^2 +200-200 = 300-200
x^2 = 100
Take the square root of each side
sqrt(x^2) = sqrt(100)
x = 10
There are 4 pieces of paper, numbered 10 to 13, in a hat. After another numbered piece of paper is added, the probability of picking a number between 10 and 13 inclusive is 4/5. Which of the following numbers could
Answer: The fifth piece of paper could have any number 9 and less or 14 and greater.
Step-by-step explanation: The list of choices is not given in the question, but it makes sense that the new number would not be a duplicate of any of the numbers 10, 11, 12, 13. Otherwise that would change the probability to 5/5.
So any other number could be a possibility.
Please help ASAP! If correct will mark brainliest
Answer:
95
Step-by-step explanation:
a=3,b=2
3^2+3(2)-2^2
a=11,b=13
11^2+11(13)-13^2
= 95
Answer:
95
Step-by-step explanation:
If a ∆ b = a² + ab - b²,
Then (3 ∆ 2) ∆ 13:
a = 3
b = 2
3 ∆ 2 = 3² + 3 × 2 - 2² = 11
a = 11
b = 13
11 ∆ 13 = 11² + 11 × 13 - 13² = 95
The answer is 95.
a blue dice and a green dice are rolled. Find the probability that the blue is either 1 or 2 and the green is 1.
Answer:
2
Step-by-step explanation:
green
Answer: 2
Step-by-step explanation:
PLEASE ANSWER THIS ASPA Which of the following choices is equivalent to -6x > -42? x > 7 x -7 x < -7
Answer:
x < 7
Step-by-step explanation:
-6x > -42
Divide each side by -6, remembering to flip the inequality
-6x/-6 < -42/-6
x < 7
Answer:
[tex]\boxed{x<7}[/tex]
Step-by-step explanation:
[tex]-6x > -42[/tex]
Divide both sides by -6 (flip sign).
[tex]\displaystyle \frac{-6x}{-6} < \frac{-42}{-6}[/tex]
[tex]x<7[/tex]
if x^2=20 what is the value of x will give brainliest for answer
Answer:
x² - 20 = 0
Using the quadratic formula
[tex]x = \frac{ - b± \sqrt{( {b})^{2} - 4ac } }{2a} [/tex]
a = 1 b = 0 c = -20
So we have
[tex]x = \frac{ - 0 ± \sqrt{ {0}^{2} - 4(1)( -20)} }{2(1)} \\ \\ x = \frac{± \sqrt{80} }{2} \\ \\ x = \frac{±4 \sqrt{5} }{2} \\ \\ \\ x = ±2 \sqrt{5} \\ \\ \\ x = 2 \sqrt{5} \: \: \: or \: \: \: x = - 2 \sqrt{5} [/tex]
Hope this helps you.
Which of the following best describes the slope of the line below?
Answer:
I think positive
Step-by-step explanation:
Answer:
zero, D
Step-by-step explanation:
a horizontal line (left to right) would be zero
a verticle line (up and down) would be undifined
NEED HELP ON THIS ASAP WEE WOO WEE WOO
Answer:
50
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!! A teacher is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71 *Round your answer to the nearest full value.
Answer:
The number of students that would have a test score between 61 and 71 are 154 students
Step-by-step explanation:
The given information are;
The mean test score, μ = 61
The standard deviation, σ = 10
The sample size, n = 450
The z score is given as follows;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
We therefore have at x = 61,
[tex]Z=\dfrac{61-61 }{10 } = 0[/tex]
P(x > 61) = P(Z > 0) = 1 - 0.5 = 0.5
For x = 71, we have;
[tex]Z=\dfrac{71-61 }{10 } = 1[/tex]
P(x < 71) = P(Z < 1) = 0.84134
The probability that the score will be between 61 and 71 is the difference between the two probabilities, which is 0.84134 - 0.5 = 0.34134
Given that the probability is equivalent to the proportion of the students that would have a test score between 61 and 71, we have;
The number of students that would have a test score between 61 and 71 = 0.34134 × 450 = 153.6 ≈ 154 to the nearest whole number.
Un estanque tiene 13/2 litros de leche y se le agregan 87/10. ¿Cuánta leche quedó en el estanque? ¿Sí en el estanque caben 65/4 litros, cuántos litros más se pueden agregar?
The equations 2 x minus y = negative 2, 3 x + 2 y = 5, 4 x minus y = 2, and 22 x + 10 y = 7 are shown on the graph below. Which system of equations has a solution of approximately (–0.3, 1.4)? 2 x minus y = negative 2 and 22 x + 10 y = 7 3 x + 2 y = 5 and 4 x minus y = 2 4 x minus y = 2 and 22 x + 10 y = 7 2 x minus y = negative 2 and 3 x + 2 y = 5
Answer:
The correct option is;
(2·x - y = -2 and 22·x + 10·y = 7)
2 x minus y = negative 2 and 22 x + 10 y = 7
Step-by-step explanation:
2x - y = -2.........(1)
3x + 2y = 5.......(2)
4x - y = 2..........(3)
22x + 10y = 7...(4)
Given that the solution of the system of equation is (-0.3, 1.4), we have;
The system of equations consist of those equations that pass through the point (-0.3, 1.4)
We check as follows;
Equation (1)
2×(-0.3) - 1.4 = -2
Therefore, equation (1) passes through the point (-0.3, 1.4) and is one of the equations
Equation (2)
3×(-0.3) + 2×1.4 = 1.9 ≠ 5
Equation (2) is not part of the system of equations
Equation (3)
4×(-0.3) - 1.4 = -2.6 ≠2
Equation (3) is not part of the system of equations
Equation (4)
22×(-0.3) + 10×1.4 = 7.4 ≈ 7
Therefore, equation (4) approximately passes through the point (-0.3, 1.4) and is one of the equations
The correct option is A. [tex]2x - y = -2\ and 22x + 10y = 7.[/tex]
Given equations,
[tex]2x - y = -2.........(1)[/tex]
[tex]3x + 2y = 5.......(2)[/tex]
[tex]4x - y = 2..........(3)[/tex]
[tex]22x + 10y = 7...(4)[/tex]
Since the solution of the system of equation is [tex](-0.3, 1.4),[/tex] Hence the system of equation satisfy the above point.
Now check all the equations,
Equation (1),
[tex]2\times(-0.3) - 1.4 = -2\\-0.6-1.4=-2\\-2.0=-2[/tex]
Hence, equation (1) passes through the point[tex](-0.3, 1.4)[/tex] and is one of the equations.
Similarly, Equation (2)
[tex]3\times (-0.3) + 2\times1.4 = 5\\-0.9+2.8=5\\1.9=5\\[/tex]
Hence the above equation does not satisfy the solution, so it is not the other system of equation.
Now, Equation (3)
[tex]4\times(-0.3) - 1.4 = -2.6 \neq 2[/tex]
Hence Equation (3) is not part of the system of equations.
Now, Equation (4)
[tex]22\times (-0.3) + 10\times1.4 = 7.4[/tex]
Hence the above equation approximately passes through the solution[tex].(-0.3, 1.4)[/tex] and is one of the equations.
Hence the required system of equation is [tex]2x - y = -2[/tex] and [tex]22x + 10y = 7[/tex].
Therefore the correct option is A.
For more details follow the link:
https://brainly.com/question/2263981