Answer:
x= 25, y = 19
Step-by-step explanation:
Solve the following system:
{x = y + 6 | (equation 1)
9 y - 8 x = -29 | (equation 2)
Express the system in standard form:
{x - y = 6 | (equation 1)
-(8 x) + 9 y = -29 | (equation 2)
Swap equation 1 with equation 2:
{-(8 x) + 9 y = -29 | (equation 1)
x - y = 6 | (equation 2)
Add 1/8 × (equation 1) to equation 2:
{-(8 x) + 9 y = -29 | (equation 1)
0 x+y/8 = 19/8 | (equation 2)
Multiply equation 2 by 8:
{-(8 x) + 9 y = -29 | (equation 1)
0 x+y = 19 | (equation 2)
Subtract 9 × (equation 2) from equation 1:
{-(8 x)+0 y = -200 | (equation 1)
0 x+y = 19 | (equation 2)
Divide equation 1 by -8:
{x+0 y = 25 | (equation 1)
0 x+y = 19 | (equation 2)
Collect results:
Answer: {x = 25 , y = 19
Answer: X= -29, Y= -267 over 10
Step-by-step explanation:
X= -29, substitute the value of X into the equation 6+y-8(-29)+9y an then solve for Y...
Hope this helps!
which polygon will tessellate a plane?
Answer:
797
Step-by-step explanation:
Answer:
C) Regular Octagon.
Step-by-step explanation:
First let's see what a tessellation is.
Tessellation is a floor made by regular types of tiles without overlapping and gap.
We cannot use all shape of tiles to tessellate a plane.
We are given Regular pentagon, irregular triangle and regular octagon.
The pentagon has 5 sides, all sides are in the same length. We cannot tessellate a plane using pentagon.
The second figure is a irregular triangle, we cannot make tessellate a plane using irregular shapes.
The third figure is a regular octagon. We can tessellate a plane using a regular octagon.
Therefore, answer is C) Regular Octagon.
which pair represents the same complex number ?
A because that’s the only logical
Answer:
-3 -3i
Step-by-step explanation:
Find the area of the trapezoid by decomposing it into other shapes.
A) 33 cm2
B) 36 cm2
C) 38 cm2
D) 42 cm2
Answer:
(C) 38 cm²
Step-by-step explanation:
Top length = 6 cm
Bottom length = 5 + 8 = 13 cm
Area
= 1/2 ( 6 + 13) (4)
= 1/2(19)(4)
= 38 cm²
The area of the trapezoid is 38 cm2.
Here are the results of flipping a coin 50 times.
According to this chart, what is the experimental probability for flipping a coin and its landing on tails?
A. 1/20
B. 2/5
C. 3/5
D. 1/30
B, because 2/5 is the same as 20/50. Hope that helps!
Answer:
B 2/5
Step-by-step explanation:
The experimental probability of tails is the number of tails of the total number of tries
P (tails) = 20/(20+30)
=20/50
=2/5
Find the product.
4x3y(-2x2y)
Answer:
[tex]\large\boxed{4x^2y(-2x^2y)=-8x^4y^2}[/tex]
Step-by-step explanation:
[tex](4x^2y)(-2x^2y)=(4\cdot(-2))(x^2\cdot x^2)(y\cdot y)=-8x^4y^2[/tex]
The product of 4x3y and -2x2y is -8x5y2, found by multiplying coefficients and adding exponents.
Explanation:The question is asking us to multiply two algebraic expressions together, namely 4x3y and -2x2y. When multiplying algebraic expressions, you multiply the coefficients together and add the exponents of like variables. The coefficient of the first expression is 4 and the coefficient of the second expression is -2. Multiply these two together gives -8. The first expression has x raised to the power of 3 and the second has x raised to the power of 2. Add these exponents together gives x raised to the power of 5. Similarly, both expressions have y with exponent 1, two of them give y squared. Hence, the product of 4x3y and -2x2y is -8x5y2.
Learn more about Algebra here:https://brainly.com/question/32436021
#SPJ2
What would the area of each triangle be if the base is 10 and the height is 3/5?
Answer:
3 square units
Step-by-step explanation:
The formula is 1/2*b*h. You plug in and solve 1/2*10*3/5.
I only have to do eleven of these but I’m stuck and it’s sin , cos , tan
Answer:
5. 77.32°
6. 54.46°
7. 13.6
8. 19.5
9. 6.5
10. 12.6
Step-by-step explanation:
I find the mnemonic SOH CAH TOA to be extremely helpful for problems like this. It reminds you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
___
Based on your notes of problems 5 ad 6, I'd say you need to be a little careful of notation. The relationship between angles and side ratios is ...
• TrigFunction(angle) = ratio . . . . . . . . trig functions are sin, cos, tan, csc, sec, cot
• InverseTrigFunction(ratio) = angle . . . inverse trig functions are arcsin, arccos, arctan, arccsc, arcsec, arccot. These are also written with a -1 superscript, for example, sin⁻¹ for arcsin.
__
5. sin(x°) = 40/41 . . . . . . . . . . . . opposite/hypotenuse
x° = arcsin(40/41) ≈ 77.32°
__
6. tan(x°) = 7/5 . . . . . . . . . . . . . . opposite/adjacent
x° = arctan(7/5) ≈ 54.46°
__
7. tan(39°) = 11/x
x = 11/tan(39°) . . . . . . . . . multiply both sides of the equation by x/tan(39°)
x ≈ 13.6
__
8. cos(46°) = x/28
x = 28·cos(46°) ≈ 19.5
__
9. tan(51°) = 8/x
x = 8/tan(51°) ≈ 6.5 . . . . . solve as in problem 7
__
10. sin(24°) = x/31
x = 31·sin(24°) ≈ 12.6
The scatter plot represents the average daytime temperatures recorded in New York for a week. What is the range of the temperature data in degrees Fahrenheit? A. 15°F B. 10°F C. 12°F D. 14°F
option A is correct, the range of the temperature data in degrees Fahrenheit is 15°F.
What is Temperature?Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.
Scatter plots are the graphs that present the relationship between two variables in a data-set.
The scatter plot represents the average daytime temperatures recorded in New York for a week.
The highest temperature in a week from the scatter plot is 45°F.
The lowest temperature in a week from the scatter plot is 30°F.
Range is the difference between the highest temperature and lowest temperature.
Range=45°F-30°F
=15°F
Hence, option A is correct, the range of the temperature data in degrees Fahrenheit is 15°F.
To learn more on Temperature click:
#SPJ2
Which of the following offer is better value of money?
200ml of toothpaste for 50p or 400ml for 90p
Answer:
200ml of toothpaste for 50p
Step-by-step explanation:
200/50=4
and
400/90=4.4444444444444444 (4.45 rounded up)
So, you would be getting more bang for your buck with 200ml for 50p
Hope this helps!
A group of friends are playing a game of lawn darts. Each player has thrown six lawn darts so far in the game. The results of their throws are shown in the dot plot below.
The number that best summarizes the data is __ hits.
The best measure of center is the __.
Answer:
The number that best summarizes the data is 2 hits.
The best measure of center is the median.
Step-by-step explanation:
Since there are 25 players represented in the data, the median would be the 13th, or middle, number when the data is ordered from least to greatest.
0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,5,5,6,6
best summaries the data is 2 hits
center is the median
Answer:
"Number of", Mean
Due to temporary tax cuts in 2010, a person with typical deductions earning $50,000 per year would have saved 2% of their income plus $850 in federal taxes.
How much money would this person save?
$
What percent did this person save on her income? Round to the nearest tenth of a percent.
%
Answer:
a) $1850
b) 3.7%
Step-by-step explanation:
a) This is a straight calculation based on the description in the problem statement.
2%×$50,000 +850 = $1000 +850 = $1850
__
b) To find the percentage of income saved, find the ratio of savings to income and multiply that by 100%.
$1850/$50,000×100% = 3.7%
Answer:
Part A: $1850
Part B : 3.7%
Step-by-step explanation:
Due to temporary tax cuts in 2010, a person with typical deductions earning $50,000 per year would have saved 2% of their income plus $850 in federal taxes.
Part A:
Total savings will be = [tex](0.02\times50000)+850[/tex]
= [tex]1000+850=1850[/tex] dollars
Part B:
The percent did this person save on her income will be = [tex]\frac{1850}{50000}\times100= 3.7[/tex]%
PLEASE HELP I AM BEING TIMED!! A company gives each new salesperson a commission of $300 for the sale of a new car. The salesperson will receive a $100 increase for each additional car the person sells that week, so the person gets $400 for the next sale that week. which equation can find the number of car as a salesperson must sell to earn $4200 in a week? Recall that a1+d(n-1) is equivalent to an.
Answer:
I would say B
Hope This Helps! Have A Nice Day!!
Answer: IT Is Not B !
Step-by-step explanation:
Plz help asap... Explain as much as possible to me plz
Answer:
see explanation
Step-by-step explanation:
Since the 2 figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{8}{x}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )
18x = 48 ( divide both sides by 18 )
x = [tex]\frac{48}{18}[/tex] = [tex]\frac{8}{3}[/tex] = 2 [tex]\frac{2}{3}[/tex]
Similarly
[tex]\frac{5}{y}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )
18y = 30 ( divide both sides by 18 )
y = [tex]\frac{30}{18}[/tex] = [tex]\frac{5}{3}[/tex] = 1 [tex]\frac{2}{3}[/tex]
What is the line of best fit for this data? (1,5)(2,8)(3,11)(4,14)(5,17)(6,20)(7,23)
y = 3x + 2
When you graph this line, it goes across every single point, so it is the line of best fit. See the attached graph.
Consider the following line plot.
Will give brainlest!!!!!!!!!!!
What is the mean of the data? Explain. Round to the Nearest tenth.
Answer: 4.7
Step-by-step explanation:
what is the lcm of 12 18 and 21
Answer:
The largest Common Factor of 12,18 and, 21 is 3
Which process helps regulate Earth's climate by transporting warm seawater to colder regions of seawater?
A. The tides
B. Thermohaline circulation
C. Surface tension
D. Centrifugal force
Answer:
B. Thermohaline circulation
Step-by-step explanation:
Thermohaline circulation is driven by global density gradients which are created by the surface heat and fluxes of fresh water, as a part of the large scale ocean circulation.
Answer:
B. Thermohaline circulation
Step-by-step explanation:
Given: △ABC with side lengths a, b, and c, and height h
Prove: Area=1/2 ab sin C
Triangle A B C has sides a b c. A vertical dashed line extends from angle B perpendicular to side b.
Drag and drop the statements into the boxes to correctly complete the proof.
Statement: Reason
△ABC with side lengths a, b, and c, and height h: Given
: Triangle area formula
: Definition of sine
asinC=h: Multiplication Property of Equality
Area=1/2 ba sin C: Substitution Property
: Commutative Property of Multiplication
Options
Area = 1/2 ab sin C
Area = 1/2 bh
Area = 1/2 ah
sin C = h/a
sin C = h/b
The area of a triangle △ABC with side lengths a, b, c and height h is shown to be equal to 1/2 ab sin C using the triangle area formula, definition of sine in right triangles, multiplication property of equality and commutative property of multiplication.
Explanation:In the triangle △ABC with side lengths a, b, and c, and height h, we can start with the triangle area formula, which is Area = 1/2 bh. Here, h denotes the height of the triangle, which when drawn from the angle C would be adjacent to the angle while b represents the side that is opposite to the angle C. By the definition of sine in right-angled triangles, sin C = h/a. Now, we can use the Multiplication Property of Equality to write asinC=h. Mixing the given formula of the area with this equality, we get Area=1/2 ba sin C. As the multiplication is commutative, we can re-write this as Area = 1/2 ab sin C.
Learn more about Triangle Area here:https://brainly.com/question/27683633
#SPJ12
To prove the area of a triangle, use the formula 1/2 base × height and substitute sin C with h/a.
Explanation:To prove that the area of △ABC is equal to 1/2 ab sin C, we can use the formula for the area of a triangle: Area = 1/2 base × height. In this case, the base is b and the height is h, so the area is 1/2 bh. We also know that sin C = h/a, so we can substitute h/a for sin C in the area formula to get Area = 1/2 ab sin C.
Learn more about Triangle area formula here:https://brainly.com/question/29133099
#SPJ12
HIJK is a trapezoid with H(5, 4), I(10, -2), J(-8, -2), and K(-3, 4). Find the coordinates of the image of H under the translation vector 〈10, -11〉.
H'(20,-13)
H'(15,-7)
H'(-5,15)
H'(7,-7)
Answer:
H'(15, - 7)
Step-by-step explanation:
Given the translation < 10, - 11 >
Add 10 units to the x- coordinate of H and subtract 11 units from the y- coordinate of H, that is
H(5, 4) → H'(5 + 10, 4 - 11) → H'(15, - 7)
H’(15;-7) is my answer for your question
A: A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
Answer:
D ≈ 14.32 cm
Step-by-step explanation:
C = 2πR, or C=πD
D=C/π = 45/π ≈ 14.32 cm
Practice Test.
Don't think I am stupid for asking this question. I will give brainliest to the first person who answers these question.
1. 1 + 1
2. 5 + 5
3. 12 x 12
Answer:
1. 2
2. 10
3. 144
Amanda and Jeremiah are standing on the same side of a large lake. They are separated by a horizontal distance of 4000 ft. Both Amanda and Jeremiah can see a helicopter that is directly above the horizontal distance between them. Amanda’s angle of elevation to see the helicopter is 60° and Jeremiah’s angle of elevation to see it is 30°. What is the distance between jermiah and the helicopter? Round to the nearest feet
Answer:
The distance between Amanda and the helicopter be x
cos 60 = x / 4000
x = 4000 × cos 60
= 4000 × 1/2
= 2000 feet
Step-by-step explanation:
The distance between Jeremiah and the helicopter is given by the trigonometric relation and d = 2000 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of sides of the triangle are
The distance between Amanda and Jeremiah = 4000 feet
Amanda’s angle of elevation to see the helicopter is 60° and Jeremiah’s angle of elevation to see it is 30°
So , from the trigonometric relations ,
cos θ = adjacent / hypotenuse
cos 60° = d / 4000
Multiply by 4000 on both sides , we get
d = ( 4000 ) ( 1/2 )
d = 2000 feet
Hence , the distance is 2000 feet
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ2
The complete question is attached below :
Amanda and Jeremiah are standing on the same side of a large lake. They are separated by a horizontal distance of 4000 ft. Both Amanda and Jeremiah can see a helicopter that is directly above the horizontal distance between them. Amanda’s angle of elevation to see the helicopter is 60° and Jeremiah’s angle of elevation to see it is 30°. What is the distance between jeremiah and the helicopter? Round to the nearest feet
eEvaluate please question in pic
Answer:
Option D is correct.
Step-by-step explanation:
[tex]\frac{\sqrt[3]{5}\sqrt{5}}{\sqrt[3]{5^5} }[/tex]
We need to solve this equation.
We know that √ is equal to 1/2 and ∛ is equal to 1/3 so solving the question:
[tex]=\frac{5^{1/3}X5^{1/2}}{5^{5/3}}[/tex]
We can add powers if the bases are same and numbers are multiplied.
[tex]=\frac{5^{1/3 +1/2}}{5^{5/3}}\\=\frac{5^{5/6}}{5^{5/3}}\\[/tex]
We can subtract powers if the bases are same and numbers are divided.
[tex]=5^{5/6-5/3}\\=5^{-5/6}[/tex]
So, Option D is correct.
Four sizes of scaled text are shown.
Four rows of text and numbers. The first row contains the number one point nine five four followed by the phrase Website text size. The next row contains the number one point five six three followed by the phrase Website text size, but smaller than the previous row. The third row contains a question mark followed by the phrase Website text size, but smaller than the previous row. The fourth row contains the number one followed by the phrase Website text size, but smaller than the previous row.
What is the unknown scale size?
Enter your answer as a decimal in the box. Round only your final answer to the nearest thousandth.
Answer:
I just took my math test and used the answer already provided which came up as wrong, the correct answer is 1.250. Sorry I don't know how to get to the answer.
A ratio shows us the number of times a number contains another number. The size of unknown scale size will be 1.25.
What is a Ratio?A ratio shows us the number of times a number contains another number.
As it is given the size of the first row is 1.954, while the size of the second row is 1.563. therefore, the ratio of the first row to the second row will be,
[tex]\rm \dfrac{First\ row}{Second\ row} = \dfrac{1.954}{1.563}\\\\\\\rm \dfrac{First\ row}{Second\ row} =1.25[/tex]
Similarly, if the ratio of the second row and the third row is taken then the size of the third row can be written as,
[tex]\rm \dfrac{Second\ row}{Third\ row} =1.25\\\\\\\rm \dfrac{1.563}{Third\ row} =1.25\\\\\\Third\ row=1.2504 \approx 1.25[/tex]
Similarly, if the ratio of the third row and the fourth row is taken to verify the ratio, we will get,
[tex]\rm \dfrac{Third\ row}{Fourth\ row} = \dfrac{1.25}{1}\\\\\\\rm \dfrac{Third\ row}{Fourth\ row} = 1.25[/tex]
Thus, the size of unknown scale size will be 1.25.
Learn more about Ratios:
https://brainly.com/question/1504221
A chair is on sale for 1/3 off the original price. The original price is 1,029. If you pay with cash you receive a 5% discount. When you go to the cash register you have to pay a 6.5% sale tax. What is the total cost of the chair if you pay with cash and including the sale tax?
Answer:
$347.03
Step-by-step explanation:
$1029 * (1/3) = $343 (Discounted Price)
$343 * 0.95 = $325.85 (With the extra 5% discount you only pay 95%)
$325.85 * 0.065 = 21.18 (Sale Tax)
$325.85 + 21.18 = $347.03 (Added Sale Tax)
Answer:
$347.03
Step-by-step explanation:
Hope that helped
PLEASE HELP THIS IS DUE TODAY!!!!!!
Select a graph for the situation. You leave home and head to a meeting you start out at a fairly steady pace until you get to pace until you get to a crosswalk. While stopped at the crosswalk you realize that you have forgotten your notes. You turn around and head back home at the same fairly steady pace. You grab your notes and then run to your meeting without stopping, although along the way your pace slows down a bit. The graphs show the amount of time that has passed and your distance from home
Answer:
D
Step-by-step explanation:
A does not work, because you stop on the way to the meeting (which you don't)
B does not work, because you speed up on the way to the meeting, when in reality you slow down
C does not work, because it does not show that you went back home or changed speed at all
D is correct!
Answer:
D
Step-by-step explanation:
Please answer ASAP!
80 points because there are 5 questions.
Pictures provided.
D, C, 432, 3112, and C :)
Joe paid $12.53 for a 7.03-kg bag of dog food. A few weeks later, he paid $14.64 for a 7.98-kg at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent
Answer:
The unit price for the 7.03 kg bag is about $1.78 per kg. The unit price for the 7.98 kg bag is about $1.83 per kg. The 7.03 kg is a better deal because you pay less per kg.
Step-by-step explanation:
1) To find the unit price, you need to find the price per unit. The unit here being kg. So, you need to divide the price by the number of units.
2) Here is this written out...
7.03 kg bag:
$12.53 / 7.03 kg = 1.78236130868 dollars per kg, or about $1.78 per kg
7.98 kg bag:
$14.64 / 7.98 kg = 1.83458646617 dollars per kg, or about $1.83 per kg
3) As you can see, if Joe purchases the 7.98 kg bag of dog food, he is paying more for every kg of dog food than if he were to purchase the 7.03 kg bag of dog food. This makes the 7.03 bag of dog food a better deal.
Hopefully this helps.
The unit price for the first bag of dog food is $1.78/kg, and the unit price for the second bag is $1.83/kg. Therefore, the first bag is cheaper and thus the better buy based on unit price.
Explanation:To find the unit price of the dog food, we need to divide the total cost of the bag by its weight. For the first bag, we take the total cost of $12.53 divided by its weight of 7.03 kg. For the second bag, we take the total cost of $14.64 divided by its weight of 7.98 kg.
For example, using these calculations, the unit price for the first bag is $1.78/kg and the unit price for the second bag is $1.83/kg .
Therefore based on unit price, the first bag of dog food is the better buy as it is cheaper per kilogram.
Learn more about Unit Price here:https://brainly.com/question/32390020
#SPJ2
Substitution -just 4.g)
r=-3.2p+q^2
Answer is 25.6 you just put the numbers and multiply them and then add them
The function h(x) is given below:
h(x) ={3,5),(5,-7)(6,-9)(10,-12)(12,16)}
which of the following gives h^-1(x) ?
Step-by-step explanation:
The domain and range of a function and its inverse are inverted i.e. The domain of the function will become range of its inverse and the range of the function will become the domain of its inverse.
When representing the function in ordered pairs, the first values in the pair represents the domain and second values represent the range of the function.
h(x) = {3,5),(5,-7)(6,-9)(10,-12)(12,16)}
Domain of h(x) is: {3, 5, 6, 10, 12}
Range of h(x) is: (5, -7, -9, -12, 16}
So,
Domain of [tex]h^{-1}(x)[/tex] = Range of h(x) = (5, -7, -9, -12, 16}
Range of [tex]h^{-1}(x)[/tex] = Domain of h(x) = {3, 5, 6, 10, 12}
Therefore, [tex]h^{-1}(x)[/tex] will be represented as:
{(5,3), (-7,5), (-9, 6), (-12, 10), (16,12)}
It seems like you have made some error while writing the original function because of which we are not getting an exact match in the answer. However by looking at the answers, option B is the nearest most and seems the correct answer.