Answer:
turn the 10 to 5 and divide 250 by 2 which will give you your l and w subract 2 from your l and add 2 to your your w
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the area is to be 250 ft^2, one possible set of dimensions would be
25 ft by 10 ft.
If 1 unit on the coordinate plane represents 10 feet, then the dimensions of the drawing would be 2.5 units by 1 unit.
(2.05 MC) Triangle PQR is transformed to Triangle P'Q'R'. Triangle PQR has vertices P(4,0), Q(0,-4) and R(-8,-4). Triangle P'Q'R' has vertices P'(1,0), Q'(0,-1), and R'(-2,-1). Part A: What is the scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' Part B: Write The Coords of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis Part C: Are the two Triangles PQR and P"Q"R" congruent?
Answer:
Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4
Part B:
P''(-1, 0)
Q''(0, -1)
R''(2, -1)
Part C:
The two Triangles PQR and P''Q''R'' are not congruent
Step-by-step explanation:
The coordinates of triangle PQR are;
P(4, 0)
Q(0, 4)
R(-8, -4)
The coordinates of triangle P'Q'R' are;
P'(1, 0)
Q'(0, -1)
R'(-2, -1)
Part A:
The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' can be found from the ratio of the respective coordinates as follows;
The ratio of the x, and y coordinates of the points are;
P'/P = x'/x = 1/4, y'/y =0/0
R'/R = x'/x = -2/-8 = 1/4, y'/y =-1/-4 = 1/4
Therefore, the scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' = 1/4
Part B: For reflection across the y-axis, we have;
Pre-image (x, y) becomes the image, (-x, y)
Therefore, we have;
Reflection of P'(1, 0) about the y-xis becomes P''(-1, 0)
Reflection of Q'(0, -1) about the y-xis becomes Q''(0, -1)
Reflection of R'(-2, -1) about the y-xis becomes R''(2, -1)
Part C:
The two Triangles PQR and P''Q''R'' are similar but they are not congruent as the dimensions of PQR are larger than the dimensions of the sides of triangle P''Q''R''.
(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4
(B) Coordinates of Δ P"Q"R"
P" (-1,0)
Q"(0,-1)
R"(2,-1)
(C) Triangles PQR and P"Q"R" are not congruent.
Given
ΔPQR is transformed into ΔP'Q'R'
Coordinates of P, Q, R are
P (4,0),
Q(0,-4)
R(-8,-4)
Coordinates of P'Q'R' are
P'(1,0)
Q'(0,-1)
R'(-2,-1)
(A) By Distance formula we can find the distance between P Q and P'Q'
Distance formula = [tex]D= \sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2 }[/tex]
Where D = Distance between two points [tex](X_1.Y_1) \; and\; (X_2.Y_2)[/tex]
from distance formula we can write that
[tex]PQ = \sqrt{(0-4)^2+ (-4-0)^2} }\\[/tex]
PQ = [tex]4\sqrt{2}[/tex]
Similarly
P'Q'= [tex]\sqrt{2}[/tex]
PQ /P'Q' = 4
hence the scale factor of dilation is 1/4 (Compression)
(B )The Coordinates of Reflection about y axis can be written for a point
[tex](x,y ) \; as \; (-x,y)[/tex]
So the Coordinated of Δ P"Q"R" can be written as
P" (-1,0)
Q"(0,-1)
R"(2,-1)
(C) ΔPQR and ΔP"Q"R" are similar triangles but they are not congruent because their sides are not equal in size.
For more information please refer to the link below
https://brainly.com/question/12413243
The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled. Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer. What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters? Choose 1 answer: Choose 1 answer: (Choice A) A 30-\dfrac{100}{1000}\cdot 12030− 1000 100 ⋅12030, minus, start fraction, 100, divided by, 1000, end fraction, dot, 120 (Choice B) B 30\cdot 1000-100\cdot 12030⋅1000−100⋅12030, dot, 1000, minus, 100, dot, 120 (Choice C) C \dfrac{30}{1000}-100\cdot 120 1000 30 −100⋅120start fraction, 30, divided by, 1000, end fraction, minus, 100, dot, 120 (Choice D) D 30-100\cdot 1000\cdot 12030−100⋅1000⋅120
Answer:
30-100/1000*120
Step-by-step explanation:
Source: Khan Academy
Answer:
30 - 100/1000 x 120
Step-by-step explanation:
It took Amir 2 hours to hike 5 miles. On the first part of the hike, Amir averaged 3 miles per hour. For the second part of the hike, the terrain was more difficult so his average speed decreased to 1.5 mile per hour.
Answer:
Times
first part x = 1,33 h second part y = 0,66 h
distances d₁ (first part ) d₁ = 4 miles d₂ (second part ) d₂ = 0,999 miles
Step-by-step explanation: IMPORTANT NOTE: EVEN PROBLEM STATEMENT DID NOT ASK ANY QUESTION WE WILL ASSUME QUESTION ARE: LENGTH ( IN MILES ) AND SPENT TIME OF EACH PART OF THE HIKE
We formulate a two-equation system according to:
x = time for the first part
y = time for the second part
then x + y = 2 or y = 2 - x
And 3 m/h * x(h) + 1,5 m/h * y (h) = 5
3*x + 1,5*y = 5
3*x + 1,5 * ( 2 - x ) = 5
3*x + 3 - 1,5*x = 5
1,5*x = 2
x = 2/1,5 (h)
x = 1,33 (h)
And y = 2 - 1,33 y = 0,66 (h)
Distances are
first part d₁ = 3*1,33 d₁ = 4 miles
second part d₂ = 1,5*0,66 d₂ = 0,999 miles
I need help bc I am not smart
Answer:
1) one and two-thirds hour
2) 2.4 miles
Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation?
0.75x+0.8(x + 10) = 101
Answer:
0.75x+0.8(x+10)=101
Step-by-step explanation:
Jared attempted x shots and made 75% of them, or 0.75x. Zach attempted 10 more shots than Jared did, which is represented as x + 10. He made 80% of them, or 0.8(x + 10). Together, they made 101 shots. So, add the two expressions and set the sum equal to 101:
0.75x + 0.8(x + 10) = 101.
Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . .
Answer:
not a term
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
d = 11- 5 = 17 - 11 = 23 - 17 = 6
This indicate the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 6, thus
[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1
Equate this to 301 and solve for n
6n - 1 = 301 ( add 1 to both sides )
6n = 302 ( divide both sides by 6 )
n = 50.333....
Since n is not an integer value then 301 is not a term in this sequence.
Marta esta poniendo sus libros en una estantería. Le faltan 7 libros para poder poner 12 en cada estante; sin embargo, si pone 10 libros en cada estante, se quedan 5 libros sin poner. ¿Cuantos es antes tiene la estantería?
Answer:
x = 6 la cantidad de estantes
y = 65 cantidad de libros
Step-by-step explanation:
LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.
La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:
y + 7 = 12*x (1)
La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:
y - 5 = 10*x (2)
Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.
Despejamos y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x
y = 12*x - 7
(12*x - 7 ) - 5 = 10*x
2*x -12 = 0
2*x = 12
x = 6 la cantidad de estantes, y
y = 12*x -7
y = 72 - 7
y = 65 cantidad de libros
Based on the graph what are the solutions to ax^2 + bx+c=0 Select all that apply
A. X=-2
B. X=10
C. X=5
D. X=8
Answer:
x=-2 and x = 5
Step-by-step explanation:
The solutions to the equation are where the graph crosses the x axis
We can see that the graph crosses at x=-2 and x = 5
Answer:
x = -2
x = 5
Step-by-step explanation:
The answer is found when the graph crosses the x-axis
Hope this helps :D
A company makes nylon and canvas backpacks. The profit on a nylon backpack is $3 and the profit on a canvas backpack is $10. How many backpacks must the company sell to make a profit of more than $250? Write a linear inequality that describes the situation.
Answer:
3x +10y is greater than or equal to 250.
Step-by-step explanation:
The question asks us to write an inequality which shows that both nylon and canvas added should be greater than or equal to 250.
Since we don't know the number of nylon backpacks and canvas backpacks the company makes, we used the variables "x" and "y" to represent the number of backpacks they made from each style.
Answer:
3n + 10c > 250
Step-by-step explanation:
I confirmed it in grandpoint
Write an equation to model the distance between the point (2,4) and any point along the curve
y=4x3 + 1.
Answer:
Distance D = √ [(2 - x)^2 + (3 - 4x^3)^2].
Step-by-step explanation:
Use the distance formula:
D = √[(x2 - x1)^2 + (y2 - y1)^2].
So here it is
D = √[(2 - x)^2 + (4 - y)^2] where x,y is any point on the curve.
D = √[2 - x)^2 + (4 - (4x^3 + 1))^2]
D = √ [(2 - x)^2 + (3 - 4x^3)^2]
WILL GIVE BRAINLIEST!!!!!! Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown: Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer, stating the theorem you used. Show all your work. Part B: The length of rod PR is adjusted to 17 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth. Show all your work.
A) Here, We'll use "Pythagoras Theorem" which tells:
a² + b² = c²
So, PR² = PQ² + QR²
PR² = 14² + 9²
PR² = 196 + 81
PR = √277
In short, Your Answer would be 16.64 Feet
B) Again, Use the Pythagoras Theorem,
c² - a² = b²
18² - 14² = b²
b² = 324 - 196
b = √128
b = 11.31
In short, Your Answer would be 11.31 Feet
Part A: Using the Pythagorean Theorem. a^2 + b^2 = c^2
PQ^2 + QR^2 = PR^2 (The rods make a right triangle, where PR would be the hypotenuse, and QR and PQ would be legs a and b.)
14^2 + 9^2 = PR^2
196 + 81 = PR^2
Square root of 277 = PR
16.64 = PR
So, the hypotenuse would be equal to 16.64 ft.
Part B: Using the Pythagorean Theorem. a^2 + b^2 = c^2
PR^2 - PQ^2 = QR^2 (Trying to find the height of QR this time, not the hypotenuse, since we know what it is already. Subtracting the value of leg a from the hypotenuse will give us the value of leg b, QR.)
18^2 - 14^2 = QR^2
324 - 196 = QR^2
Square root of 128 = QR
So, the new height of QR would be 11.31 ft.
Look at the picture and answer the question
Answer:
b
Step-by-step explanation:
Answer:
80 degrees
Step-by-step explanation:
m∠4 is the same as m∠2
I measured it with a protracter
( plz mark me as brainliest, that would be most appreciated! )
which doesnt belong and why
Answer:
C
Step-by-step explanation:
They all have and addition and subtraction pattern in each cube, thank me later - PrObLeM OcCuReD
2. A person's height is 73 inches. How
would you convert this height to feet
using a conversion factor?
a.
73in 12 in
ift
1
b.
73in ift
1
12in
Answer:
6.08 ftStep-by-step explanation:
In this problem we are expected to do unit conversion from inches to feet.
from table we can see that
if 1 inches is 0.0833333 ft
then 73 inches will be x ft
By cross multiplication we can solve for the value of x which is
]x= 6.08 ft
Hence the person is 6.08 ft tall
Solve the equation 7b-27=8(6+4b)
Answer:
b = -3
Step-by-step explanation:
7b-27=8(6+4b)
Distribute
7b -27 = 48 + 32b
Subtract 7b from each side
7b-7b-27=48+32b-7b
-27 = 48+25b
Subtract 48 from each side
-27-48 = 48+25b -47
-75 = 25b
Divide each side by 25
-75/-25 =25b/25
-3 =b
Answer: b= -3
Step-by-step explanation:
[tex]7b-27=8\left(6+4b\right)[/tex]
distribute
[tex]7b-27=48+32b[/tex]
add 27 to both sides
[tex]7b-27+27=48+32b+27[/tex]
[tex]7b=32b+75[/tex]
subtract 32b on both sides
[tex]7b-32b=32b+75-32b[/tex]
divide -25 on both sides
[tex]-25b=75[/tex]
[tex]b=-3[/tex]
5/9 of a piece of metal has a mass of 7 kg. What is
the mass of the piece of metal?
No wrong answer or else I will report
Answer:
The mass of the metal is 12.6 kgStep-by-step explanation:
Let the mass of the metal be x
From the question
5/9 of the metal is 7kg
That's
[tex] \frac{5}{9} x = 7[/tex]
Multiply through by 9
We have
5x = 7 × 9
5x = 63
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{63}{5} [/tex]
We have the final answer as
x = 12.6 kg
The mass of the metal is 12.6 kgHope this helps you
Find the slope and the y-intercept of the line.
- 8x+4y=-4
Write your answers in simplest form.
slope:
.
08
Undefined
X
$
?
y-intercept: 1
Answer:
slope - (2x)
y-intercept - (-1)
Step-by-step explanation:
-8x + 4y = - 4
4y = 8x - 4
y = 2x - 1
The graph represents revenue in dollars as a function of greeting cards sold. A coordinate plane showing Greeting Card Revenue, Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. A line starts at (0. 0) and passes through (2, 8), (4, 16), and ends at (5, 20). Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x
Answer:
D
Step-by-step explanation:
Just did it
A function assigns the values. The equation that represents the function shown on the graph is y=4x.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the graph represents revenue in dollars as a function of greeting cards sold. Therefore, we can write the function as,
Revenue ∝ Number of cards sold
Since the Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. Therefore, we can write,
y ∝ x
Removing the proportionality, we will get,
y = k x
Now, substitute any point through which the graph of the function passes to get the value of k,
20 = k × 5
20/5 = k
k = 4
Thus, the function can be represented as,
y = kx
y = 4x
Hence, the equation that represents the function shown on the graph is y=4x.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
Emergency help will mark brainliest answer
Answer:
Step-by-step explanation:
Use the formula
[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate in decimal form, and t is the time in years. Filling in what we are given:
[tex]A(t)=5000(1+.05)^6[/tex] and simplifying a bit:
[tex]A(t)=5000(1.05)^6[/tex] and a bit more:
A(t) = 5000(1.340095641) so
A(t) = 6700.48
Graph the following inequality and then select the correct graph below. x - y - 2 ≥ 0
Answer:
x - y - 2 ≥ 0
Step-by-step explanation:
What is 4,331,507 expressed in scientific notation? A. 4.331507 x 10 B. 4.331507 x 10 C. 4.331507 x 10 D. 4.331507 x 10
Answer:
4.331507 x 10⁶
Step-by-step explanation:
you move the decimal place 6 times to the right, so 10⁶
Answer:
Step-by-step explanation:
4,331,507=4.331507×10^6
witch numbers are domain -3 ,-2 ,-3 ,0 ,-1 ,2 ,1 ,2
Correct Presentation of Question
Which numbers are domain? (-3,-2) (3,0)(-1,2)(1,2)
Answer:
Domain = {-3,-3,-1,1}
Step-by-step explanation:
Given
(-3,-2) (3,0)(-1,2)(1,2)
Required
Determine which numbers are domain
A function is always represented as thus (x,y) in this format (domain, range);
Tabulate the given data
x || y
-3 || -2
3 || 0
-1 || 2
1 || 2
The values under the x column are the domain;
Hence, the domain are {-3,-3,-1,1}
At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 16 computer chips is taken. What is the probability of thesample mean
THIS IS COMPLETE QUESTION
computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.2 centimeters. A random sample of 16 computer chip is taken. What is the probability that the sample mean will be below 0.95?
Answer:
the probability is P=0.045
Step-by-step explanation:
We were given mean of computer chips as 1 centimeter and a standard deviation of 0.1 centimeter
We were given
σ=0.1
n=16
We calculate:
Z=(0.95-1)/0.1 √16
Z=-0.125
Using the standard z- tables. to get the probability we have
P(X<0.95)=P(z<-0.115)=0.045
Therefore, probability is P=0.045
tan α=2.4, Find: sin α and cot α
Answer:
cot α = 1/tan α = 1/2.4 = 0.42
Step-by-step explanation:
cot α=0.42
sin α = 0.92
we know that cot α = 1/tan α
thus,
cot α = 1/tan α = 1/2.4 = 0.42
we know that
sin(x)=tan(x)1+tan2(x)√
[tex]\ sin(\alpha )=tan(\alpha )/\sqrt{ 1+tan^2(\alpha )} \\sin(\alpha )= 2.4/\sqrt{1+2.4^2} = 2.4/\sqrt{1+5.76}\\sin(\alpha )= 2.4/\sqrt{6.76} = 2.4/2.6 = 12/13 = 0.92[/tex]
sin α = 0.92
How do you graph y=2/3x-4
━━━━━━━☆☆━━━━━━━
▹ Answer
You can use a graphing calculator.
▹ Step-by-Step Explanation
Attached is a screenshot.
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
See explanation and picture attached
Step-by-step explanation:
We can break down this expression into it's core components:
Since the constant here is -4, the y intercept is -4.
Since the value we are multiplying x by is [tex]\frac{2}{3}[/tex], the slope is [tex]\frac{2}{3}[/tex]. This means for every time we go horizontal 3 units, the line increases by 2.
The graph is attached.
Hope this helped!
What is the simplified form of 4x−2(3y)−3?
Answer:
4x - 6y -3
Step-by-step explanation:
4x−2(3y)−3
Distribute
4x - 6y -3
Answer:
4x−6y−3
Step-by-step explanation:
All you really have to do is multiply -2 time 3y and thats it.
25 point please help I would really appreciate it :)))
Answer:
(a) 40
(b) 15% per week, to the nearest percent.
Step-by-step explanation:
Given:
old production,
P(w) = 230(1.1^w)
(a) At week 0, w=0, so
P(0) = 230(1.1^0) = 230
Difference (old - new) = 230-190 = 40
(b) about 15% per week
(c) from the 4th week on
approximate growth rate of new factory
N(w) = 190(R^w)
we know
w=0, N(0) = 190
w=7, N(7) = 505
so R=(505/190)^(1/7) = 1.1499 = 1.15 approx.
(c)
The old production tabulated:
w P(w) New
0 230 190
1 253 220
2 278 252
3 306 290
4 337 337
5 370 380
6 407 440
7 448 505
So we see that at the end of the 4th week, the two productions match, and new factory begins to exceed old production.
Which of these is NOT discrete data:
A. number of home-runs hit in a professional baseball game
B. air pressure in a car tire
C. cars per household in a town
D. number of pills in a container of vitamins
Answer:
B, air pressure in a car tire.
Step-by-step explanation:
Discrete data is data which come in intervals, and isn't continuous.
The number of home runs can only go 0 -> 1 -> 2 -> 3, you can't have 2.5 or 3.2 home-runs.
The number of pills in a container can also only go 0 -> 1 -> 2. Again, can't have 0.7 pills.
The number of cars per household is also discrete. The number of cars in a household goes 0 -> 1 -> 2, you can't have half a car!
However, the air pressure is continuous. If you're increasing the air pressure, it'll (in theory) go from 0 -> 0.000...001 -> 0.000..002 etc. It doesn't "jump" from 0 pressure -> 1 pressure like the others, it goes smoothly. It can be any value.
So the air pressure isn't discrete data.
Solve the equation. Check your solution.
20x-2=36x +10
Answer: [tex]x=-3/4[/tex]
Subtract 36x from both sides
[tex]20x-2-36x=36x+10-36x\\-16x-2=10[/tex]
Add 2 to both sides
[tex]-16x-2+2=10+2\\-16x=12[/tex]
Divide both sides by -16
[tex]\frac{-16x}{16} =\frac{12}{-16} \\x=\frac{-3}{4}[/tex]
Answer:
x = - [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
20x - 2 = 36x + 10 ( subtract 36x from both sides )
- 16x - 2 = 10 ( add 2 to both sides )
- 16x = 12 ( divide both sides by - 16 )
x = [tex]\frac{12}{-16}[/tex] = - [tex]\frac{3}{4}[/tex]
As a check
Substitute this value into the equation and if both sides are equal then it is the solution.
left side = 20 × - [tex]\frac{3}{4}[/tex] - 2 = - 15 - 2 = - 17
right side = 36 × - [tex]\frac{3}{4}[/tex] + 10 = - 27 + 10 = - x17
Since both sides are equal then x = - [tex]\frac{3}{4}[/tex] is the solution
You want to borrow three rock CDs from your friend. She loves math puzzles and she always makes you solve one before you can borrow her stuff. Here's the puzzle: Before you borrow three CDs, she will have 39 CDs. She will have half as many country CDs as rock CDs, and one-fourth as many soundtracks as country CDs. How many of each type of CD does she have after you borrow three rock CDs?
Answer:
Rock CD's=21
Country CD's=12
Soundtrack CD's=3
Step-by-step explanation:
let
r= rock CD's
c = country CD's
s = soundtrack CD's
Total CD's=r + c + s =39
2c=r
c/4=s
2c+c+c/4=39
8c+4c+c=156
13c=156
c=12
Substitute c=12 into 2c=r
2c=r
3(12)=r
24=r
r=24
Substitute c=12 into c/4=s
c/4=s
12/4=s
3=s
s=3
Therefore, she has
c=12
s=3
r=24
before she borrowed you 3 rock CD's
Sha has
r=21
s=3
c=12
after you borrowed 3 rock CD's
