The printed price of a DVD player is $30. If the buyer pays a sales tax of 8%, find the price at which the
DVD player is sold?
Answer:
It was sold at $32.40.
Step-by-step explanation:
hope this helpss :))
PLEASEEEE HELPPP ME this is due today!!!
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
- NK
- MK
- MF
- [tex]A_{AMNFD}[/tex]
Answer:
[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]
Step-by-step explanation:
According to the statement, we find the following inputs:
[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]MD = 9[/tex]
[tex]NF = 5[/tex]
Given than longer base and shorter base are parallel to each other, we conclude that:
[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]
[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]
[tex]\angle KND = 45^{\circ}[/tex]
[tex]\angle FND = 90^{\circ}-\angle KND[/tex]
[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)
[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]
[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)
[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)
[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)
If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:
[tex]DO = MO \approx 6.364[/tex]
[tex]NO = OF \approx 3.536[/tex]
The value of MK is obtained from the following relationship:
[tex]MK = \frac{MD-NF}{2}[/tex]
[tex]MK = \frac{9-5}{2}[/tex]
[tex]MK = 2[/tex]
And the value of KD is calculated from this expression:
[tex]KD = MD-MK[/tex]
[tex]KD = 9-2[/tex]
[tex]KD = 7[/tex]
Now by the Pythagorean Theorem we find that:
[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]
[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]
[tex]NK \approx 7.001[/tex]
And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:
[tex]MF = NO + DO \approx 7.001[/tex]
Lastly, the area of the isosceles trapezoid is determined by the following formula:
[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]
[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]
If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:
[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]
[tex]A_{AMNFD} = 49.007[/tex]
What is mZCAD?
O 80°
O 20°
O 80°
O 100°
O 110°
Answer:
The angle of CAD is 100°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so you will have to find the angle of CAB :
∠CAB + ∠ACB + ∠ABC = 180°
∠CAB + 80° + 20° = 180°
∠CAB + 100° = 180°
∠CAB = 180° - 100°
∠CAB = 80°
Next, you have to subtract it from 180° because straight line have a degree of 180°
∠CAD = 180° - 80°
∠CAD = 100°
whats the slope to this
Answer:
-14/15
Step-by-step explanation:
2j^3-8j^2 please help
Answer:
Your answer is: [tex]2j^{2}(j-4)[/tex]
Factor [tex]2j^{2}[/tex]out of [tex]2j^{3} -8j^{2}[/tex]
Step-by-step explanation:
Hope this helped : )
The system of inequalities,
x + y 2 10
is modeled in the graph below.
--x + y = -2
Select the region that contains solutions to the system of inequalities.
Solutions to the system of inequalities lie in one ofthe regions shown on the coordinate plane.
Region A
O Region B
O Region
O Region D
B
A
D
PLEASE HELPP ME
Answer:
wait you can message me if you want
btw can u make me the brainless huhu
What are the first three terms of the Arithmetic Sequence an = 11 – 3(n – 1)?
Answer:First three terms: 11,20,29 .
Step-by-step explanation:
Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).
I hope this is right
At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. Which is the better deal? Explain your reasoning.
Answer:
The second vendor because when you purchase 6 liters, it costs less to get it from the second vednor.
Step-by-step explanation:
Compare the price at 6 liters.
3.80(3)= $11.40
$2.70(4)= $10.80
(z^2 - 3z) (z + 1)
Answer:
z³ - 2z² - 3z
Step-by-step explanation:
(z² - 3z)(z+1) = (z²*z) + (z²*1) + (-3z*z) + (-3z*1) = z³ + z² - 3z² - 3z
= z³ -2z² - 3z
Answer:
Today : Saturday, 07 November 2020
Hour: 20.04 WIB (Indonesia)
_______________________________
(z² - 3z) (z + 1)
= z³ + z² - 3z² - 3z
= z³ - 2z² - 3z
Is x greater than less than or equal to 79 degrees?
Answer:
Step-by-step explanation:
it depends on the number X is.can someone graph y=x+4 i hate khan academy
Answer:
I hope this is good enough:
Step-by-step explanation:
I dis graph it just use demo's graphing system.
Help i give Brainest A metro car in New Orleans travels 4 miles in 3 minutes. If the relationship between distance, in miles, and time, in minutes, of the metro car is proportional which equation represents the relationship between distance, d, and time, t? i
Help me answer the question please
Answer:
A
Step-by-step explanation:
4x - 2 and 3x + 6 are alternate angles and congruent, thus
4x - 2 = 3x + 6 ( subtract 3x from both sides )
x - 2 = 6 ( add 2 to both sides )
x = 8
4b
6c for b = (-3) and c = 5
Answer:
Today: Friday, 06 November 2020
Hour: 10.15 WIB (Indonesia)
_______________________________
so,
6c = 6 × 5 = 30
4b = 4 × (-3) = -12
Example:
4b - 6c
= 4(-3) - 6(5)
= -12 - 30
= - 42
4b + 6c
= 4(-3) + 6(5)
= -12 + 30
= 18
Find the slope of the line that passes through (7, 13) and (9, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answer:
-3/2
Step-by-step explanation:
Visualize it or write it out.
Find the equation of the line shown.
Answer:
4y + x = 8
Step-by-step explanation:
firstly, we choose any 2 points on the line
point 1 = (0,2)
point 2 = (4,1)
x1 = 0, x2 = 4
y1 = 2, y2 = 1
from,
[tex] \dfrac{y2 - y1}{x2 - x1} = \dfrac{y- y1}{x- x1} [/tex]
[tex] \dfrac{1 - 2}{4 - 0} = \dfrac{y- 2}{x- 0} [/tex]
[tex] \dfrac{ - 1}{4} = \dfrac{y- 2}{x- 0} [/tex]
Cross multiplying,
-1(x) = 4(y - 2)
-x = 4y - 8
4y + x = 8
The product of 17 x .67 is ?
Answer:
11.39
Step-by-step explanation:
Have a great day! :)
What is the range of the data? 2.3 4.5 6.7 1.1 11.6 4.5 11.7 8.5 3.2 6.7 7.9
Answer:
10.6
Step-by-step explanation:
range is the difference between the lowest and the highest number
example: the lowest number wold be 1.1 and the highest is 11.7 you need to subtract them and then you have your answer!!!
The range of the given set of data is 10.8.
The given data is 2.3, 4.5, 6.7, 1.1, 11.6, 4.5, 11.7, 8.5, 3.2, 6.7, 7.9.
We need to find the range of the given data.
What is the range of the data?The range is the difference between the highest and lowest values within a set of numbers. To calculate the range, subtract the smallest number from the largest number in the set.
From the given set of data, we can see that the lowest observation is 1.1 and the highest observation is 11.7.
Now, range=11.7-1.1=10.8
Therefore, the range of the given set of data is 10.8.
To learn more about the range of the data visit:
https://brainly.com/question/20607770.
PLEASE HELP!!! GIVING BRAINLIST
If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14
Answer:
D. 14
make y the subject of the formula in equation 1 and then substitute it in equation 2
doing my sister's homework plz help
Answer:
5/14
Step-by-step explanation:
4b + 3 = 2b + 13 Can someone please help me with this problem
Answer:
b = 5
Step-by-step explanation:
[tex]4b - 2b = 13 - 3 \\ 2b = 10 \\ b = 5[/tex]
what's the exact length of the segment
Answer:
√13
Step-by-step explanation:
length √(2^2+3^2)=√13.
Daily snowfall in Omaha in January
Mode, median or mean?
Answer:
mean but im guessing as well
Step-by-step explanation:
answer the question below, 100 points (and brainliest if it lets me, im desperate)
Jackson bought a new computer for $800. He put $135 down and got a student discount of $55 his mom gave him half of the balance for his birthday. How much does Jackson still owe for the computer?
Answer:
Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.
Step-by-step explanation:
Please Help! need a step by step answer will give brainly
Answer:
If I know I will defiantly answer .but where is the question
Four balls of wool will make 8 knitted hats. How many balls of wool will Janet need to make 6 hats?
I NEED HELP WITH THIS PLZ HELP ME WITH MATH! I"M GIVING 20 points for someone who answers it. PLZ HELP ME WITH MATH!
Answer: [tex]\frac{x^8}{256y^{20}}[/tex]
If the font is too small, it says x^8 all over top 256y^20 as one big fraction.
========================================================
Work Shown:
[tex]\left(\frac{5x^3}{20xy^5}\right)^4\\\\\\\left(\frac{x^2}{4y^5}\right)^4\\\\\\\frac{\left(x^2\right)^4}{(4^1)^4\left(y^5\right)^4}\\\\\\\frac{x^{2*4}}{4^{1*4}y^{5*4}}\\\\\\\frac{x^{8}}{4^{4}y^{20}}\\\\\\\frac{x^{8}}{256y^{20}}\\\\\\[/tex]
ratios that are equivalent to 40:28
Answer:
10:7
Step-by-step explanation:
