The smaller triangle is DEF which has sides
DF = 1DE = 2EF = 3The larger triangle ABC has side lengths of
AC = 2AB = 4BC = 6Note how the sequence 2,4,6 is exactly double that of 1,2,3. Therefore, the sides of triangle ABC are twice as large as the corresponding sides of triangle DEF.
Put another way, computing the ratios of the corresponding sides all lead to the same value, so we have BC/EF = 6/3 = 2, and we have AB/DE = 4/2 = 2, and finally AC/DF = 2/1 = 2. These three equations all confirm ABC is twice as large as DEF.
By the SSS (side side side) similarity theorem, we can conclude the triangles are similar. They have the same shape, but different size.
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
Find the slope of the line that passes through (1, 2) and (10, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
7/9
Step-by-step explanation:
If f(x)=3x^2+1 and g(x)=1-x what js the value of (f-g)(2)?
Answer:
14.
Step-by-step explanation:
Simplify:
f(x)-g(x)
3x^2+1 - (1-x)
3x^2+ x
Solve:
(f-g)(2)
3(2)^2 + 2= 3*4+2
= 14
Pls select the correct answer
Answer:
B
Step-by-step explanation:
Rent paid by Julie = (1/3) of 3000
[tex]=\frac{1}{3}*3000\\\\=1*1000[/tex]
= £ 1000
Remaining amount after paying rent = 3000 - 1000 = £ 2000
Expenses : Savings = 7 : 3
Total part = 7 + 3 = 10
Saving part = 3/10
Amount saved = (3/10) of 2000
[tex]=\frac{3}{10}*2000\\\\=3*200[/tex]
= £ 600
Answer:
B
Step-by-step explanation:
one third of £3000 = £3000 ÷ 3 = £1000
£3000 - £1000 = £2000 ← amount left after paying rent
Add the parts of the ratio, 7 + 3 = 10 parts
Divide the amount left by 10 to find the value of one part of the ratio
£2000 ÷ 10 = £200 ← value of 1 part of the ratio, thus
3 × £200 = £600
Julie saves £600 each month
Please help! Correct answers only!
Out of 100 tickets in a raffle, one ticket will win a $150 prize, one ticket will win a $130 prize, one ticket will win a $110 prize, and one ticket will win a $40 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " = $ 4.30
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Winning the 150 Dollar Prize - 1 / 100,\\Probability * Money Won = " Expected Payoff " For The 150 Dollar Prize,\\\\1 / 100 * 150,\\" Expected Payoff " - 1.5 Dollars,\\\\Probability of Winning the 130 Dollar Prize - 1 / 100,\\\\1 / 100 * 130,\\" Expected Payoff " - 1.3 Dollars,\\\\Probability of Winning the 110 Dollar Prize - 1 / 100,\\\\1 / 100 * 110,\\" Expected Payoff " - 1.1 Dollars,\\\\Probability of Winning the 40 Dollar Prize - 1 / 100,\\\\[/tex]
[tex]1 / 100 * 40,\\" Expected Payoff " - 0.4 Dollars,\\\\Conclusion ; " Expected Payoff " = 1.5 + 1.3 + 1.1 + 0.4 = 4.30 Dollars[/tex]
Solution ; " Expected Payoff " = $ 4.30
Make a table as shown in the diagram below. X represents the winnings, P(X) is the probability of getting such winnings. The third column X*P(X) represents the product of the first two columns. After you figure out every value in the third column, you add everything up to get the final answer.
A college's lacrosse team will play 22 games next spring. Each game can result in one of 2 outcomes: a win or a loss. Find the total
possible number of outcomes for the season record.
Answer: 44 possible outcomes
Step-by-step explanation:
Multiply the number of games by the number of outcomes to find how many possibilities.
22 games * 2 outcomes = 44 possibilities
Interpreting the situation, it is found that there are 23 possible outcomes for the season record.
For each game, there are two possible outcomes.
Hence, if the team plays 1 game, there are two possible outcomes, 0 wins or 1 win.If the team plays 2 games, there are three possible outcomes, 0 wins, 1 win or 2 wins.The same is valid for 3 games, the team can win 0, 1, 2 or 3 games.Hence, for n games, there are n+1 outcomes.In this problem, there are 22 games, hence 23 possible outcomes.
A similar problem is given at https://brainly.com/question/18599661
1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2
Answer:
x = 2
y = 4
or (2 , 4)
Step-by-step explanation:
Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.
[tex]3x-2 = x+2\\[/tex]
Now we can solve x.
[tex]3x= x+4\\[/tex]
[tex]2x = 4\\[/tex]
x = 2
Now that we have solved for one variable we can plug this back into either equation and solve for y.
[tex]y = 2 + 2\\[/tex]
y = 4
PLEASE HELP!!!the pattern follows the rule, starting with a value of 4, every consecutive row has a value that is 2 less than twice the value of the previous row. What is the value of the fifth row
Answer:
34
Step-by-step explanation
1- 4
2- 4(2) - 2 = 6
3- 6(2) - 2 = 10
4- 10(2) - 2 = 18
5- 18(2) -2 = 34
A school band decides to hold a bake sale to raise money. They withdrew $50 from the band's account for ingredients. The deposit they made back into the account from the sale was $140. What was the overall increase or decrease in the band's account?
Answer:
90
Step-by-step explanation:
140-50
this is because the band took 50 and got 140 to remove 50 from 140
What is the largest possible value
could take given that it must be an integer?
x<5
Write 240 as a product of primes. Use index notation where appropriate.
Answer:
2^4x3x5
Step-by-step explanation:
240=2x120
120=2x60
60=2x30
30=2x15
15=3x5
The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
14 units
units
18 units
units
Answer:
18units
Question:
The complete question as seen from other website is stated below:
The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
Step-by-step explanation:
VW = 10units
WY = 8√3
XY = ?
ZX = ?
Find attached the diagram obtained from the information (1st image).
To determine XY, we would apply the tangent ratio.
Tan 60 = opposite/adjacent
Tan60 = (8√3)/XY
XY = (8√3)/ Tan60
In a 30°-60°-90° triangle theorem:
Find attached the diagram (2nd image)
Tan 60 = opposite/adjacent
Tan 60 = √3/1
Tan60= √3
XY = (8√3)/ Tan60
XY = (8√3)/√3
XY = 8units
ZX = ZY + XY
VW = ZY = 10units (the breadth of rectangle are equal)
ZX = 10 + 8
ZX = 18 units
PLEASE I NEED IT ASAP (5 MIN) 24 POINTSSS
A 2-column table with 4 rows. Column 1 is labeled Bag Size with entries 2 pound, 6 pound, 8 pound, 12 pound. Column 2 is labeled Price with entries 4 dollars and 50 cents, 12 dollars and 30 cents, 16 dollars and 80 cents, 25 dollars and 20 cents. Darryl needs 84 pounds of coffee for his deli. Use the prices for the different-size bags shown in the table to identify which size bag he should buy, the number of bags he will need, and the total price for that number of bags. Which size bag should Darryl buy? How many of those bags will he need? What will be the total cost of the coffee?
Answer:
6 pound - first one
14 - second one
$172.20 - third one
Answer:
94.88
Step-by-step explanation:
this is the right answer
You are in the process of making ice cream. The recipe says heat all ingredients to 50C and cools it for 5 hours in a freezer. If the cooling rate of the freezer is 12C per hour. What will be the temperature of the mixture after 5 hours?
Answer:
-10C
Step-by-step explanation;
The mixture is 50C and the freezer cools at 12C per hour which means in 5 hours the temperature of the mixture would have decreased by 60C because 12C * 5 hrs is 60C. You then do the math;
50C - 60C = -10C
someone please help me, I’m struggling :(
Answer:
constant because it isn't going up or down, just moving straight
Step-by-step explanation:
Answer:
constant
Step-by-step explanation:
Since this is a horizontal line the slope is zero
This means the graph is constant
11.A bus is going with speed of
18 m/s and suddenly bus driver
applied a break and it takes 3
second to stop completely.
Find out the value of
acceleration. *
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
Answer:
-6m/s^2
Step-by-step explanation:
State your knowns
s=Not required
u=18m/s
v=0m/s
a=?
t=3 seconds
(by the way this is more a physics question)
Find an applicable suvat equation
v=u+at
Rearrange the equation
v-u=at
(v-u)/t=a
Substitute values
(0-18)/3=a
Evaluate
a=-6
State the answer
The value of acceleration is -6m/s^2
Draw a diagram for (x+2)(x+4)
Answer:
Download this mm file
expand and simplify the equation
Answer:
7x+12
Step-by-step explanation:
5(3x+2) - 2(4x-1)
Distribute
15x + 10 -8x+2
Combine like terms
7x +12
A coordinate plane with a line drawn passing through the points (0, 3) and (1,1). Which equation represents the graphed function? A coordinate plane y = –2x + 3 y = 2x + 3 y = x + 3 y = –x + 3
Answer:
the answer is A. y=-2x+3
i hope this helps
10 ft
8 ft
8.9 ft
4 ft
Calculate the perimeter of this figure
to the nearest 10th
Answer:
40.9 ft.
Step-by-step explanation:
We know all the side lengths needed:
8 + (10*2) + 8.9 +4 = 40.9
So then you just add them!
The 3rd and 6th term of a
linear sequence are 16 and
34 respectively. Find the
sum of the first six terms.
Answer:
hope this helps
What is the solution to the equation - 4 = 6?
A. x = 5
B. x = 1
C. x = 20
D. x = 10
Tysvm if you answer!
Simplify problem: ∛-27n^27
Answer:
-3n⁹
Step-by-step explanation:
= [tex]\sqrt[3]{-27n^(27)}[/tex]
= [tex]\sqrt[3]{-27} * \sqrt[3]{n^{27}}[/tex]
= (-3) × n⁹
= -3n⁹
Help me out with this question
Hi! I'm here to help. So what you're gonna wanna do is do 6 divided by 2.
6 / 2 = 3
Have a good day/night!
Answer:
[tex]2/6=1/3[/tex]
(1) a) 5270 cl= ? dal
b) 5,3 kl= ? hl
c) 58000 ml= ? dal
d) 0,39 dal = ? l
e) 7,8 dal = ? dl
f) 57,2ml= ? cl
(2)
a) 3,7 l= ? cm3
b)29,6 dm3 = ? cl
c)8,1 l = ? cm3
d) 5 l= ? m3
e) 5,2 cl = ? mm3
f) 375 ml = ? cm3
g) 1300cm3 = ? dl
h) 8,6 ml = ? mm3
i) 51,8 × 10 la puterea a 11 a litri= ? Km3
Answer:
Check below
Step-by-step explanation:
1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10
[tex]a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl[/tex].
2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by
[tex]10^3[/tex]
Bear in mind these useful relations:
[tex]1litre =\frac{1}{10^3}m^{3}[/tex]
[tex]1 cm^{3} =1 ml[/tex]
[tex]a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}[/tex]
Which of these is an example of a literal equation?
A. 12 = 9 + 3x
B. 6 + 30 = 62
C. ax - by = k
D. 3x - 4y
Which are the side lengths of a right triangle? Check all that apply.
3, 14, and 205
6, 11, and 158
19, 180, and 181
O 3, 19, and 380
2, 9, and 185
Answer: 19, 180, 181
Step-by-step explanation:
a^2 + b^2 = c^2
19^2 = 361
180^2 = 32,400
32,400 + 361 = 32,761
Square root of 32,761 = 181
Answer:
19,180,181
Step-by-step explanation:
I'm not rlly sure how to explain but I hope this helps though..!
x^4-8x^2-33-14y-y^2
Answer:
I'm glad you asked!
Step-by-step explanation:
So let's simplify the number which is all you can do .
[tex]x^{4} -8x^{2} -33-14y-y^{2}[/tex]
= [tex]x^{4} +-8x^{2} +-33+-14y+-y^{2}[/tex]
Answer:
=[tex]x^{4} -8x^{2} -y^{2} -14y+-y^{2}[/tex]
if 60% of a number is 90, what is 4/5 of the number
Answer:
120
Step-by-step explanation:
To solve this, we can first find the value of the number.
Let's name the number x.
We can set up a proportion to solve.
90/60=x/100
Simplify.
9/6=x/100
Cross multiply.
6x=900
Divide both sides by 6.
x=150
The original number is 150.
Let's find 4/5 of that.
4/5*150
Multiply.
600/5
Divide.
120
________________________________
Hey!!!
Solution,
Let the number be X
60% of X=90
or,60/100*X=90
or,3/5*X=90
or,X=90/3/5
or,X=90*5/3
or,X=450/3
X=150
Again,
4/5 of X
=4/5*150
=120
The answer is 120
hope it helps
Good luck on your assignment
_____________________________
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
same
Step-by-step explanation:
The maximum of f(x) is 8 because it's written in vertex notation. From the graph, g(x)'s maximum is 8 so the answer is that they have the same maximum.