Answers
Answer:
10
Step-by-step explanation:
Your scale factor is 3/2, because when you compare AC and DF, the ration is 18/12, or 3/2. We can set up a proportion:
3/2=15/x
We cross multiplu
3x=30
x=10
So, the length of DE is 10 units.
Hope this helps!
Related Questions
The volume of a cone with a height of 6 cm is 8 pi cubic centimeters. Which expression can be used to find r, the radius of the base of the cone? 6 = one-third pi (r squared) (8 pi) 8 pi = one-third pi (r) (6 squared) 6 = one-third (pi r)(8 pi) 8 pi = one-third pi (r squared) (6)
Answers
Answer:
last option is correct
Step-by-step explanation:
Mathematically, we can write the volume of a cone as;
V = 1/3 * pi * r^2 * h
From the question, V is 8 pi cm^3 while h is 6cm
Thus, substituting these values into the equation, we have;
8pi = 1/3 * pi * r^2 * 6
The last option is the correct answer that tallies with the above
Answer:
8 pi = one-third pi (r squared) (6)
its d
Step-by-step explanation:
On a coordinate plane, a straight red line with a negative slope, labeled g of x, crosses the y-axis at (0, negative 7). A straight blue line with a positive slope, labeled f of x, crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2). Both lines intersect at (negative 3, negative 4). Which statement is true regarding the functions on the graph? f(–3) = g(–4) f(–4) = g(–3) f(–3) = g(–3) f(–4) = g(–4)
Answers
Answer:
f(-3) = g(-3)
Step-by-step explanation:
We know that f(x) = g(x) where the two graphs intersect
f(-3) = g(-3)
Answer:
f(-3) = g(-3)
Step-by-step explanation:
did on edguniuty
g(x) = x2 + 2x - x - 2
Answers
Hope this image helps you :)
. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores pastel, al realizar la revisión de su paleta de pintura, este artista cuenta con siete colores fluorescentes y cinco colores pastel. De lo anterior se puede indicar que la cantidad de maneras en que puede realizar la pintura como lo desea es *
A. 305.
B. 350.
C. 405.
D. 450
Answers
Answer: B. 350.
Step-by-step explanation:
Given: Total number of fluorescent colors = 7
Total number of pastel colors = 5
Since , he want three fluorescent colors and two pastel colors.
Number of ways to select r things out of n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Number of ways to choose colors = [tex]^7C_3\times\ ^5C_2[/tex]
[tex]=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350[/tex]
Hence, the correct option is B. 350.
If you give me proper answer then you will get 14 points.and brainiest.
Answers
Answer:
Answers are in the file.
Step-by-step explanation:
For each and every equation I plugged in whatever it told me x would equal and I used it to solve the equations.
On Friday, Mica has $22.50 in her bank account. Mica goes to the market to get groceries for the week and ends up spending more than planned. When Mica checks her account, she now has a balance of $-48.15. How much money did Mica spend at the market?
Answers
Answer: $70.65
Step-by-step explanation:
From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.
To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:
= $22.50 - (-$48.15)
= $22.50 + $48.15
= $70.65
Mics spent $70.65 at the market.
Explain the significance of the equation 100x -2y+ 400 = 0 which represents the hourly cost of a car repair.
Answers
Answer: The significance is that it is how much you will pay for the total repair which will help you know how much money you will spend.
Step-by-step explanation:
can someone please help me understand this
Answers
Answer:
No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
Given a function where x represents an input of a particular value, which gives an output for that particular value inputted as defined by the function, if the function is true and valid, a particular value of input should not give us different values of output.
Thus, from the table given, at x = 5, we have y = 3.
Also, at x = 5, we have y = 2.
Here, one x-value is given us two different y-values. This is not true if a function. We cannot regard the table given as representing a function.
Therefore, the answer is:
No, because one x-value corresponds to two different y-values.
A cylinder has a diameter of 18 inches and a volume of 405/2π cubic inches. What is the height, in inches, of the cylinder? Enter the height in decimal form rounded to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
diameter = 18 inches
radius = r = 18/2 = 9 in
Volume of cylinder = 405π/2
[tex]\pi r^{2}h = \frac{405}{2}\pi \\\\\\\pi * 9 * 9* h =\frac{405}{2}\pi \\\\\\h =\frac{405}{2*9*9*\pi }*\pi \\\\\\h=\frac{5}{2}[/tex]
h = 2.5 inches
Which of the following is the graph of y= log3(x + 2)?
PLEASE ANSWER
Answers
Answer:
Correct answer option A.
Step-by-step explanation:
We need to figure out the graph of
[tex]y= log_3(x + 2)[/tex]
First of all, let us discuss graph of:
[tex]y=log_3x[/tex]
Putting x = 1 :[tex]y=log_31 = 0[/tex] ([tex]\because[/tex] log of 1 is always 0 irrespective of the base)
i.e. point (1, 0) lies on the graph.
And when we put x = 1, the log function tends to -[tex]\infty[/tex].i.e. [tex]x\rightarrow 1 \Rightarrow y\rightarrow -\infty[/tex]
Putting x = 3[tex]y =log_33 = 1[/tex] i.e. point (3, 1) lies on the graph
Graph of logarithmic function is always increasing.
Now, let us consider the graph of [tex]y= log_3(x + 2)[/tex]
Putting x = -1, [tex]y= log_3(-1 + 2) = log_31 = 0[/tex] So, the point that lies on graph is (-1, 0)Putting x = 1, [tex]y= log_3(1 + 2) = log_33 = 1[/tex] So, the point that lies on graph is (1,1).Putting x = -2, [tex]y= log_3(-2 + 2) = log_30 \rightarrow -\infty[/tex]Please refer to attached graph as well.
Correct answer option A.
The correct option is A, just got it right (:
What is g(x)?
A. g(x) = -2
B. g(x) = -x
C. g(x) = -|x|
D. g(x) = -x^2
Answers
Answer:
A. g(x) = -2^x.
Step-by-step explanation:
If g(x) = -2, it would be a straight line running horizontally.
If g(x) = -x, it would be a linear equation.
If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.
So, the remaining answer is that A. g(x) = -2^x.
Hope this helps!
Its A, [tex]-2^x[/tex].
For inputs x you can find corresponding y-values on the graph of function:
[tex]x=1\implies y=-2^1=-2[/tex]
[tex]x=2\implies y=-2^2=-4[/tex]
[tex]x=3\implies y=-2^3=-8[/tex]
.
.
.
Hope this helps.
The price of apples at three different stores is shown below. Store R sells apples for $1.20 per pound. Store S sells 4 pounds of apples for $5.00. Store T sells 3 pounds of apples for $3.48. which of these is a true statemnt
Answers
Answer:
Store T sells apples at the lowest rate
$1.16
Step-by-step explanation:
which of these is a true statemnt
Store R sells apples at the lowest rate
Store T sells apples at the lowest rate
Store s charges a lower rate than Store T
Store t charges the same rate as Store R
Given:
Store R= $1.20 per pound
Store S =$5.00 for 4 pounds
Store T=$3.48 for 3 pounds
Find the price of apple per pound
Store R=1.20 per pound of Apple
Store S=$5.00/4
=$1.25 per pound of Apple
Store T=$3.48/3 pounds
=$1.16 per pound of Apple
From the statements above,
Store T sells apples at the lowest rate
Can someone help me
Answers
Answer:
y=22cm
Step-by-step explanation:
using L×B=A where y is L
308=14y
y=308/14
y=22cm
Which of the following equations is graphed below?
Answers
Answer: 3rd answer choice
Step-by-step explanation:
Answer: 4th answer choice
Step-by-step explanation:
Andy is buying a car he negitiated a 7% decrease on a £6500 car he wil pay the full balance in 12 equal monthly payments calvulate the amount paid each month
Answers
Answer:
£503.75
Step-by-step explanation:
he negotiated a 7% decrease on a £6500:
the price of the car after discount is : 6500-(6500*7%) = £ 6045
£6045 paid fully in 12 month: £ 6045/12= £503.75
help I don’t understand this
Answers
Answer: 90 degrees
Step-by-step explanation: Each of these angles are at 90 degrees since there is a square box at each of their second points.
Find the area of the shaded triangle.
Answers
Answer:
7.5
Step-by-step explanation:
The area of a triangle is found by the formula A=1/2bh, where b is the base length, and h is the height. If we count the squares, we can find that the base length of the triangle is 3 units, and the height is 5 units. If we plug those numbers into the equation to get A=1/2*3*5, we can solve to get A=7.5
please help mee plzzzzz...solving quadratics
Answers
Answer:
equation: x^2+12x-220 = 0
factored form: (x-10)(x+22) = 0
solution: x=10 or x=-22
dimensions: 4 cm, 11 cm, and 21 cm.
Step-by-step explanation:
Given:
Volume = 924
dimensions of cuboid = 4, (x+1), (x+11)
Solution
Calculate volume
4(x+1)(x+11) = 924
simplify
(x+1)(x+11) = 231
Expand
x^2+12x+11 = 231
Simplify
x^2+12x-220 = 0
Factor
x^2-10x + 22x -220 = 0
x(x-10) + 22(x-10) = 0
(x-10)(x+22) = 0
x=10 or x=-22
Since x=-22 will give rise to negative dimensions, root will be rejected.
For x=10, the dimensions can be obtained by substituting x=10
x+1 = 11
x+11 = 21
So dimensions are
4 cm, 11 cm, and 21 cm.
Check: 4*11*21 = 924 checks.
Yuri measures the height of the water in an aquarium in one metric unit. He then moves the decimal point three units to the left. Which pair of measurements might he be converting? Use the metric table to help answer the question.
Answers
Answer:the answer A( kiloliters to liters)
Answer:
Millimeter to Meter
Step-by-step explanation:
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option. Part B: Graph each equation on the same set of axes and compare. Under what conditions is each purchasing option the best choice? Be sure to provide a thorough answer. Use detailed information from your graph to back up your choices.
Answers
Answer:
y=250x+4000y=400x+400Step-by-step explanation:
Given that:
x represents the number of months of ownership; and y represents the total paid for the car after ‘x' months.First Option (Leasing)
250x - y + 4000 = 0
Expressing the equation in the Slope-Intercept Form y=mx+b, we have:
y=250x+4000
Second Option (Financing)
$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
First, we determine the slope of the line joining (0,400) and (10,4400)
[tex]Slope, m= \dfrac{4400-400}{10-0}= \dfrac{4000}{10}=400[/tex]
We have:
y=400x+b
When y=400, x=0
400=400(0)+b
b=400
Therefore, the Slope-Intercept Form of the second option is:
y=400x+400
Significance
In the first option, there is a down payment of $4000 and a monthly payment of $250.In the second option, there is a down payment of $400 and a monthly payment of $400.Part B
We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.
i.e
When x=0, y=$4000 for leasingWhen x=0, y=$400 for financingMatch each polynomial expression to is additive inverse
Answers
Answer:
hope you get it ........
here is a screenie of the answer !!
The right triangular prism has a volume of 1,152 cm3. A right triangular prism has a volume of 1,152 centimeters cubed. The triangular bases have 2 sides with lengths of 12 centimeters. The hypotenuse length is not given. The height of the prism is x centimeters. What is the value of x, the height of the prism? 6 8 12 16
Answers
Answer:
16 cm
Step-by-step explanation:
A "right" prism is one that has the planes of the lateral faces perpendicular to the plane of the base. Here, we assume your "right triangular prism" is one that has a right triangle as a base, because you mention the "hypotenuse."
The area of the base is ...
A = (1/2)bh = (1/2)(12 cm)(12 cm) = 72 cm²
The volume of the prism is ...
V = Bh . . . . where B represents the area of the base
Filling in the numbers, we have ...
1152 cm³ = 72 cm²×h
h = (1152/72) cm = 16 cm
The height of the prism is 16 cm.
Answer:
16 cm
Step-by-step explanation:
WHAT IS THE TRUE SIMILARITY STATEMENT
Answers
Answer:
Option 2
Step-by-step explanation:
ΔPQR - ΔSTR
Because
∠S ≅ ∠P
∠T ≅ ∠Q
∠R ≅ ∠R
I hope this helps you
Use long division to find the quotient below.
(4x3 + 2x2 + 50) / (2x+5)
Answers
The quotient of the equation 4x³ + 2x² + 50 ÷ 2x + 5 using long division method is 2x² - 4x
Long division4x³ + 2x² + 50 ÷ 2x + 5
[tex] \sqrt[2x + 5]{ {4x}^{3} + {2x}^{2} + 50 } [/tex]
2x² - 4x
_____________
= 2x + 5 | 4x³ + 2x² + 50
4x³ + 10x²
__________
- 8x² + 50
-8x² - 10
__________
40
Therefore,
the quotient is 2x² - 4xThe remainder is 40Learn more about long division:
https://brainly.com/question/25289437
#SPJ1
solved in addition and use multiplication!! PLEASE HELP ASAP!
Answers
Answer:
First by 3, second by -2.
Step-by-step explanation:
You need to get the x-factor to the smallest common multiple of 4 and 6, which is 12.
But also, if you add both, they should cancel out the x term, i.e.,:
-12x + 12x = 0
You get that by multiplying by 3 and -2, respectively.
i will give best answer a right rectangular prism is shown What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle
Answers
Answer:
parallelogram
Step-by-step explanation:
Answer:
parallelogram
Step-by-step explanation:
did the test
The upper-left coordinates on a rectangle are (-5, 6), and the upper-right coordinates are (-2, 6). The rectangle has a perimeter of 16 units. Draw the rectangle on the coordinate plane below.
Answers
Answer:
Step-by-step explanation:
Given the upper-left coordinates on a rectangle as (-5, 6), and the upper-right coordinates as (-2, 6), the distance between the two coordinates will be equal to the length of one side of the rectangle. Using the formula for calculating the distance between two points as shown;
D = √(x2-x1)²+(y2-y1)²
The the upper left coordinates be A (-5, 6) and the upper right coordinates be B(-2, 6).
AB = √(-2-(-5))²+(6-6)²
AB = √(-2+5)²
AB = √3²
AB = 3 units = Breadth of the rectangle
Give the perimeter of the rectangle to be 16 units, we can get the length of the rectangle using the formula;
Perimeter of a rectangle = 2(L+B)
16 = 2(3+L)
16 = 6+2L
10 = 2L
L = 5units
The length of the triangle is 5units
Find the diagram of the rectangle on the coordinate plane in the attachment below.
Which represents the reflection of f(x) = x over the y-axis?
х
-1
0
1
4
f(x)
undefined
0
1
2
f(x)
х
-1
0
1
1
0
-1
-2
4
Answers
Answer:
Graph having x ≤ 0
Step-by-step explanation:
f(x) = [tex]\sqrt{(-x)}[/tex]
Given function 'f' when reflected across the y--axis,
Translated form of the parent function will be,
g(x) = [tex]\sqrt{(-x)}[/tex]
Table for the input-output values for this function will be,
x g(x)
-1 1
0 0
1 undefined
4 undefined
Table shows that the given function is undefined for x > 0
Domain of g(x) will be (-∞, 0],
Therefore, graph having values of x ≤ 0 will be the answer.
Answer:
I think its D on edge!
Step-by-step explanation:
A pack of cards is numbered 1 to 24. A card is chosen at random. Find the probability that the number on the card is divisible by 2 or 3
Answers
Answer:
Step-by-step explanation:
It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.
Our answer is P= 16/24=2/3=66,66%
The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 390 people entered the park, and the admission fees collected totaled $10650. How many children and how many adults were admitted? NUMBER OF CHILDREN= ? NUMBER OF ADULTS= ?
Answers
Answer:
Children = 200
Adults = 190
Step-by-step explanation:
Children = x
Adults = y
x + y = 390
x = 390 - y..............(1)
20x + 35y = 10650
Substituting
20(390-y) + 35y = 10650
y = 190
x = 390 - 190 = 200
Answer:
Step-by-step explanation:
Number of children = c
Number of adults = a
Total people = 390
a + c = 390 ------------------ (I)
Admission fee for 'c' children = 20 * c = 20c
Admission fee for 'a' adult = 35 * a = 35a
Total amount = $ 10650
35a + 20c = 10650 -------------(II)
Multiply equation (I) by (-20)
(I)*(-20) -20a - 20c = - 7800
(II) 35a + 20c = 10650 { Now add and so 'c' will be eliminated}
15a = 2850
a = 2850/15
a = 190
Plug in a = 190 in equation (I)
190 + c = 390
c = 390 - 190
c = 200
Number of children = 200
Number of adults = 190