In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
Enter a decimal rounded to the tenths.
Answers
Answer:
9.6 square inches.
Step-by-step explanation:
We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.
First, find the scale factor k from ΔBAC to ΔDEF:
[tex]\displaystyle 5 k = 4[/tex]
Solve for the scale factor k:
[tex]\displaystyle k = \frac{4}{5}[/tex]
Recall that to scale areas, we square the scale factor.
In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.
Hence, the area of ΔEDF is:
[tex]\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2[/tex]
In conclusion, the area of ΔEDF is 9.6 square inches.
Related Questions
Pleaseeeeeeeeeeeeeeeeeeee
Answers
Answer:
∠DAB = 68
Step-by-step explanation:
∠DAB we need to find this
∠DAB = ∠C (vertically opposite angles are equal)
∠DAB = 68
PLEASE HELP.I WILL MARK YOU BRAINLIEST
A baseball team won 16 games and lost 11. At this rate, how many games will it win in a 162-game schedule?
Answers
==========================================================
Explanation:
The team won 16 games and lost 11 so far. At this point in the season, they played 16+11 = 27 games total. Their win rate is 16/27.
Set this equal to x/162 which is the win rate for winning x games out of 162 played over the entire season.
Solve for x.
x/162 = 16/27
27x = 162*16 ... cross multiplication
27x = 2592
x = 2592/27
x = 96
The team would win 96 games if it kept the same winning rate going.
Notice that 16/27 = 0.5926 = 59.26% and how 96/162 = 0.5926 = 59.26% as well (both are approximate). This helps confirm we have the correct answer.
-------------------------
Here's another slightly longer way to solve. If you prefer the first method above, then ignore this section.
w = number of games won over the entire 162 game season
162-w = number of games lost over the entire season
w/(162-w) = win to loss ratio
16/11 = win to loss ratio after winning 16 games and losing 11
Setting those last two expressions equal to each other and solving for w gets us...
w/(162-w) = 16/11
11w = 16(162-w)
11w = 2592-16w
11w+16w = 2592
27w = 2592 ... this hopefully looks a bit familiar from before
w = 2592/27
w = 96 games won
I need the answer to this question
Answers
Answer:
y = 3/4x + 19/2
Step-by-step explanation:
m = 3/4. point (-6,5)
Point slope form:
y-5=3/4(x- -6)
y -5 = 3/4x + 18/4. 18/4 = 9/2
Y = 3/4x + 9/2 + 5. 5 times 2 plus 9 over 2 = 19/2
y = 3/4x + 19/2
If a student didnt turn an assignment in on the 27th of august, and the teacher deducted 10 percent each day. How much credit would they get if they turned it in on the 1st of september?
Answers
Answer:
i have no idea
Step-by-step explanation:
Answer:
credit of 60= lost 40 points
Step-by-step explanation:
31-27= 4
How to solve -7+7s-3s-5-6-5s
Answers
How to solve -7+7s-3s-5-6-5s
Answer:-→ -7+7s-3s-5-6-5s
→ -7 -5 -6 + 7s-3s-5s
→ -18 - 1s
The answer is -18-1s
Generalize Use words to describe the following sequence. Then find
the next three numbers in the sequence.
49, 64, 81, 100, ...
...
HELP. PLZ. SOMEONE.
Answers
tan(x+22)= -[tex]\sqrt{3}\\[/tex]
Answers
Answer:
what tye of question is it you don't know asking queastio
5x -4= 4x please help me
Answers
[tex]5x-4=4x\\\\5x-4x=4\\\\\huge\boxed{x=4}[/tex]
Answer:
4=x
Step-by-step explanation:
5x-4=4x
-4=-x
4=x
Need help with #12
Please help
Answers
Step-by-step explanation:
If the figure is triangle then,
Let PR be x
So,
PQ+QR+PR= 180 (Sum of all the angles of the triangle)
Therefore,
6x+25+16-3x+x=180
4x+36=180
4x= 180/36
x= 144/4
X= 36
NOW,
PQ= 6x+25
= 6(36)+25
= 216+25 = 241= PQ.
QR = 16-3x
= 16-3(36)
= 16-108
= -92
PR = 36
hope it helps
Answer:
PR = 36
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
I need help with #21 ASAP.. I need to get it done…. Show step by step please help me with it.. I need to get it done tonight it is passed due
Answers
Step-by-step explanation:
21.
1, 2, 4, 8, 16, 31, ... , ....
by using the formula, we can find :
T7 = [7⁴ - 6(7)³ +23(7)² - 18(7) +24] / 24 =
(2401 - 2058 + 1127 - 126 +24) / 24 =
1368/ 24 = 57
T8 = [8⁴-6(8)³+23(8)²-18(8)+24]/24 =
(4096-3072+1472-144+24)/24 =
2376/ 24 = 99
Profit is always calculated as revenue minus expenses. If a company's expenses were $10 million, write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars). Then, determine the profit when revenue is $25 million.
a. P= 10-R; $15 million
b. P=R-10; $15 million
c. P=R-10; $35 million
d. P=10-R$35 million
Please select the best answer from the choices provided
Answers
Answer: B
Step-by-step explanation:
P=R-$10MM
P = ($25MM)-$10MM
P = $15MM
Solve the equation:
5 + 4x - 7 = 4x - 3-X
Answers
Answer:
1 = -x
Step-by-step explanation:
group like terms together so
this 5 + 4x - 7 = 4x -3 - x
becomes this 5 - 7 + 3 = 4x -4x -x
then simplify 1 = - x
Helpppppppppppppppppppp
Answers
Step-by-step explanation:
could you write it clearly pls !!!
Answer:
s = 3/10
Step-by-step explanation:
-S - 5st =0
S = 3
t = -2
-3 - 5 (-2) s =0
10 s = 3
s = 3/10
Simplify the following expression:
2x − 8y + 3x2 + 7y − 12x
Question options:
3x2 − 14x − y
3x2 − 10x − y
3x2 − 10x − 15y
3x2 + 10x − y
Answers
Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
-32.306 + (-24.884) as a decimal.
Answers
-3+x=-8 what is the answer
Answers
Answer:
x=-5
Step-by-step explanation:
add 3 to -8
1 Regroup terms.
x-3=-8
x−3=−8
2 Add 33 to both sides.
x=-8+3
x=−8+3
3 Simplify -8+3−8+3 to -5−5.
x=-5
x=−5
Answer: x=−5
What is the missing number?
7/18= 21/?
A.3
B.32
C.44
D.54
Answers
Answer:
7x3=21
18x3=54.
Hope it helps you...Answer:
D 0.54
Step-by-step explanation:
7/18 = 0.389
21/0.54 = 0.389
Use a calculator to if you're unsure or want to double check. (PS. I used it)
Hope it helped! Don't forget to give it 5 stars and leave a comment below if it helped! Thanks!
10 times the quantity 9 minus a number x
Answers
Answer:
[tex]10 \times 9 - x \\ x = 10 \times 9 \\ x = 90[/tex]
PLEASE MARK ME BRAINLIEST.Convert 120 Ibs to kilograms
Answers
Answer:
54.431 kilograms
Step-by-step explanation:
don't have step by step but 1kg is 2.205lbs
HELPPP?!!! What is the value of f(-2) and f(3)
Answers
For f(-2), x=-2 and -2 fits with x ≤ -2, the top interval.
For f(3), x=3 and 3 fits into -2 < x ≤ 3, the middle interval.
Step #2 for both, plug in your x-value to the piece of the function that fits with that interval.
For f(-2), we know x≤-2, so we use 2x+8 to evaluate x=-2.
For f(3), we know -2
f(-2) = 2(-2)+8 = -4+8 = 4
f(3) = (3)^2 -3 = 9-3 = 6
the quotient of five times a number 7 is no more than 10
Answers
Answer:
[tex]x \ge3.5[/tex]
Step-by-step explanation:
First, write the given in the form of a mathematical equation rather than words. I'll call the mystery number given in the question [tex]x[/tex]:
[tex]\frac{5*7}{x} \leq 10[/tex]
Simplify:
[tex]\frac{35}{x} \leq 10[/tex]
Solve for x:
[tex]\frac{35}{x} *x\leq 10*x[/tex]
Simplify the fraction:
[tex]35\leq 10x[/tex]
Divide by 10 to isolate x:
[tex]\frac{35}{10} \leq x[/tex]
Flip the equation around to make it easier to read:
[tex]x \ge \frac{35}{10}[/tex]
Simplify the fraction:
[tex]x \ge \frac{7}{2}[/tex] or [tex]x \ge3.5[/tex]
if f(x)=4x-5 what is the value of f(2)
Answers
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Value of Polynomial :The value of a polynomial p(x) or f(x) at x = α is obtained by putting x = α in p(x) or f(x) and it is denoted by p(α) ...!
Required Solution :Let f(x) = 4x - 5
⇒f(2) = 4(2) - 5
= 4 × 2 - 5
= 8 - 5
= 3
Hence, If f(x) = 4x-5 then the value of f(2) will be 3 ...!
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Answer:
f(2) = 3Step-by-step explanation:
f(x) = 4x-5f(2) = (4×2)-5f(2) = 8-5f(2) = 3HOPE THIS HELPS YOU......write an equivalent expression (x+2)(x-3) by using the distributive property
Answers
Answer:
x(x-6)
Step-by-step explanation:
(x+2)(x-3)
x^2-3x+2x-6
x^2-x-6
x(x-6)
1 7/8 cups of ketchup times 3.
Answers
Answer:
5 5/8 cups of ketchup
Step-by-step explanation:
1 7/8 x 3
15/8 x 3/1 = 45/8
45/8 = 5 5/8
Evaluate 3x when x = -8.
Answers
x = -8
3x = 3 · (-8) = -24
.......
Use partial products and the distributive property to calculate the product. Use paper to show your work.
300\times 41.9300×41.9
Answers
Answer:
22054.36
Step-by-step explanation:
The function y=2.5x+3 can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles
A. $3
B. $1
C. $2.50
D. $5.50
Answers
Answer:
C. $2.50
Step-by-step explanation:
x=1 y=5.5
x=2 y=2.5
Answer:
y=2.5x+3Compare to slope intercept form y=mx+b
Slope=m=2.5y intercept=b=3Sl
Here the rate of change is $2.50
Identify the domain of the function shown in the graph.
Answers
Answer:
C. x is all real numbers.
Step-by-step explanation:
Since the domain is likely infinite, then the domain must be all real numbers so x is all real numbers.
Solve 2 + 1/6y = 3x + 4 for y.
Answers
Find the number of terms in this polynomial.
–10t5 + 2t
Answers
Answer:
8t
Step-by-step explanation:
10t-2t= 8t
8t+5
