Answers
Given:
[tex]\Delta ABC\sim \Delta D E F[/tex]
[tex]AB=18,BC=21,AC=24,EF=7[/tex]
To find:
The scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex].
Solution:
We have,
[tex]\Delta ABC\sim \Delta D EF[/tex]
So, side BC is the corresponding side of EF.
Now, scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is
[tex]\text{Scale factor}=\dfrac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}[/tex]
[tex]\text{Scale factor}=\dfrac{EF}{BC}[/tex]
[tex]\text{Scale factor}=\dfrac{7}{21}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]
Therefore, the scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is [tex]\dfrac{1}{3}[/tex].
Related Questions
Solve: 33 + 27 ÷ 9 + (30 ÷ 5)
Answers
Answer:
42
Step-by-step explanation:
You need to follow P--E--M--D--A--S
A X U I A U
R P L V D B
E O T I D T
N N I T I R
T E P I T A
H N L O I C
E T I N O T
S S C N I
I A O
S T N
I
O
N
C - -1
D - 3/4
Can someone please help? I’ll give you brainliest.
Answers
Answer:
Step-by-step explanation:
The answer is (A)
6 batteries cost 29 dollars what is the unit rate?
Answers
Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour
Answer:
[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]
Step-by-step explanation:
Unit rate is a ratio that compares two measurements.
Denominator is 1
[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]
In which step did the veterinarian make the first error?
Step 1
Step 2
Step 3
Step 4
Answers
Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021
Write an equivalent expression in standa
form and collect like terms.
2x - (x + 8) - 4
Answers
explaination:
2x-(x+8)-4
first, distribute the negative to x and 8
2x-x-8-4
then collect like terms (2x-x) then (-8-4)
2x-x= x and -8-4= -12 therefore the answer is
x-12.
hope this helps!
HHHEEEELLLLLP!!!!!!!!
Compare these rational numbers. Which of the following are true?
Answers
witch equation represents a linear function
Answers
Hope this helped :)
What is the volume of the rectangular prism?
Answers:
2/9 FT 3
10 FT 3
1 1/9 ft 3
3 1/3 FT 3
Answers
Answer:
3 1/3 FT 3
Step-by-step explanation:
im not sure if this right but i tried lol
Answer:
There is not enough info you need to add a picture of the box to measure it.
Rana and Josie are cooking food for a party they need to cut up the food so people can share your she makes two small pepperoni pizzas there are four people who was share the pizza how much will each person get
Answers
Answer:
sdfshefvhwedsbdhcfbHISE
Step-by-step explanation:
FSDSd
Find the value of x. Then classify the triangle by its angles.
Answers
Answer:
x
Step-by-step explanation:
sorry idol grade 8 lng ako eh sensya kana godbless
here’s the other one
Answers
Answer:
it is A
Step-by-step explanation:
someone pls hurry and help !
Answers
answer:A XHBBUFXZHBFIHIFCXIJFIJVFIIJIJVFIJIJF
Answers
Sadie goes for an afternoon walk. The graph shows her distance from home over time
Answers
Answer: The max distance is 4 miles but If you add it all together it's 8 miles in 60 mins (1 hour)
Step-by-step explanation:
Distance time graph shows that how the distance of the object changes with time. The average speed of Sadie is 8 miles per hour.
To solve this problem, we need to know about the distance-time graph.
What is distance-time graph?Distance time graph shows that how the distance of the object changes with time.
Given information-
The graph given which shows the distance of Sadie from home over time as she goes for the afternoon walk.
The table attached below shows the distance of Sadie in each 15 minutes.
The total distance covered by the Sadie is,
[tex]=2+2+4\\=8[/tex]
Thus the distance covered by the Sadie is 8 miles.
The total time taken by Sadie to cover 8 miles distance is 60 minutes or 1 hour.
As it is not clear that what has to be find out in the given problem. Let assume that the average speed of Sadie has to be find out.
Thus the average speed is the ratio of total distance traveled to the total time taken. Thus,
[tex]v=\dfrac{8}{1} \\v=8[/tex]
Thus the average speed of Sadie is 8 miles per hour.
Learn more about the distance-time graph here;
https://brainly.com/question/19730285
1) Which of these are equivalent to - ? Choose ALL that apply.
PLEASE ANSWER ASAP !!!!
*ANSWERS ON PIC*
Answers
f(x) is a function.
0
3
с а м а
7
12
f(x)Help
Answers
Answer:
It's a function
Step-by-step explanation:
Because non of the inputs have the same output
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.)
int 1 between 5 x/2+3^3*dx
Answers
Answer:
[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Step-by-step explanation:
Given integral:
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]
[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]
[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]
[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]
∴
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]
[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]
[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]
[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]
[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]
[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
use a number line to show the following operations (a) -5+7-2 (b) -4×3 (c) 3.5+4.5
Answers
Hey there!
• A.
–5 + 7 – 2 = ?
–5 + 7 = 2
2 – 2 = 0
Answer: 0 ☑️
• B.
–4 * 3 = ?
“Guide”
• Negative & Negative = Positive
• Positive & Positive = Positive
• Negative & Positive = Negative
• Positive & Negative = Negative
• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!
–4 * 3 = –12
Answer: –12 ☑️
• C.
3.5 + 4.5 = ?
5 + 5 = 10
• CARRY your 1
3 + 4 + 1 = ?
3 + 4 = 7
7 + 1 = ?
Answer: 8 ☑️
You basically had to do ORDER OF OPERATIONS / PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.
Answers
Answer:
Step-by-step explanation:
A. $154.20 * 0.65 = $100.23
B. $91.96 * 0.70 = $64.37
C. $47.60 * 0.75 = $35.70
D. $84.60 * 0.80 = $67.68
A rate in which the first quantity is compared to 1 unit of the second quantity
Answers
Answer:
it will compare unit to some quanlity to a different number of units of a different queality.
Step-by-step explanation:
a/b=c/d proportions are two fractions that are equal example: 1/2=2/4
What is the result when 9r^3 + 27x^2 + 11x +1 is divided by 3x + 1?
Answers
Answer:
the answer is 3x^2 + 8x + 1
Step-by-step explanation:
(I used x as the variable due to the invalid difference of variables in your question )
To find the correct answer, I had to use polynomial division.
(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)
= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)
= 3 x 2 + 8 x + 1
The diagram shows a right-angled triangle,
Calculate the value of x.
Answers
Answer:
x = 12
Step-by-step explanation:
[tex]90 + 3x + 16 + 2x + 14 = 180 [/tex]
[tex]5x + 120 = 180[/tex]
[tex]5x = 180 - 120[/tex]
[tex]5x = 60[/tex]
[tex]x = \frac{60}{5} = 12[/tex]
Answer:
x = 12°
Step-by-step explanation:
[tex](3x + 16) + 90 + (2x + 14) = 180 \\ 3x + 2x = 180 - 16 - 90 - 14 \\ 5x = 60 \\ x = \frac{60}{5} \\ x = 12[/tex]
The ability to influence another is a function of ______
= Dependency
Answers
Step-by-step explanation:
The ability to influence another is a function of dependency hahahaja
Consider the graph shown.
Complete the sentence based on the graph.
The value of f(x) is -2 at x =
and the value of f (-2) =
Answers
Answer:
The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.
Step-by-step explanation:
✔️The value of f(x) is -2 also means y = -2.
So, looking at the graph, the corresponding value of x when y = -2 is x = 0.
✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.
From the graph, at x = -2, the corresponding y-value is -5.
Hilary sells makeup, primarily lipsticks and eye shadows. She sells the lipsticks for $10 and the eye shadows for $5. At a home show, she wants to sell at least $120 of these two products, knowing she has at most 20 items in her inventory that are either lipsticks or eye shadows.
She makes $7 on every lipstick and $3 on every eye shadow she sells. Use the information below:
Let x = lipsticks
Let y = eye shadows
Then $10x + $5y > $120
and x + y < 20.
The graph of these functions is shown to the right. It is impossible to sell a negative number of makeup items, so x and y both have to be greater than zero. Therefore, the functions are confined to the first quadrant.
Profit function:
P = $7x + $3y
How many lipsticks and eye shadows should be sold to maximize the total profit?
A.
The profit is maximized when 20 lipsticks and 0 eye shadows are sold.
B.
The profit is maximized when 12 lipsticks and 0 eye shadows are sold.
C.
The profit is maximized when 16 lipsticks and 4 eye shadows are sold.
D.
The profit is maximized when 4 lipsticks and 16 eye shadows are sold.
Answers
Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010
Answers
Answer:
Step-by-step explanation:
Glacier National park has the area in year 2007 = 142 acres
It's shrinking at a rate = 4.4% per year
a). Since, shrink in the size of the glacier is an exponential process,
Therefore, formula for the size of the glacier in 'n' years,
A = 142(1 - 0.044)ⁿ
A = 142(0.956)ⁿ
b). Difference between year 2007 and 2020 = 13 years
By substituting n = 13 years in the formula,
A = 142(0.956)¹³
= 79.11 acres
Therefore, size of the glacier in year 2020 = 79.11 acres
c). Difference between year 2007 and 2010 = 3 years
By substituting n = 3 years in the formula,
A = 142(0.956)³
A = 124.07 acres
Loss of the ice from the glacier = 142 - 124.07
= 17.93 acres
Therefore, loss of the ice from the glacier in 3 years = 17.93 acres
Place these numbers in order from small to big. 35% , 36/100, 4/25, 0.85, 2.6, 0.1
Answers
Answer:
0.1, 4/25, 35%, 36/100, 0.85, 2.6
Step-by-step explanation:
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answers
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
Find the measure of angle B
(9x+2) (5x-4)
Answers
Answer:
119
Step-by-step explanation:
[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]
Answer:
In the given figure, we know that (angle B+angle C)=180°.
[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]
Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.
Kayla went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $20, but the price with tax came to $21.80. Find the percent sales tax.
Answers
Hello!
[tex]\large\boxed{9 \%}[/tex]
To find the percent tax, use the equation:
[tex]\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}[/tex]
Substitute in the given values:
[tex]\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09[/tex]
Multiply by 100 to find the percent tax:
[tex]0.09 * 100 = 9\%[/tex]
Answer: Its 9%
Step-by-step explanation: