Answer:
(i) ∠A=∠A (common angle for both triangles)
∠ACB=∠ADE [given]
Therefore, △ABC∼△AED
(ii) from (i) proved that, △ABC∼△AED
So, BC/DE=AB/AE=AC/AD
AD=AB−BD
=6–1=5
Consider, AB/AE=AC/AD
6/3=AC/5
AC=(6×5)/3
AC=30/3
AC=10cm.
Step-by-step explanation:
Step-by-step explanation:
As per given details we can state:
ΔABD ≅ ΔAEDBecause:
AD is common hypotenuse and BD = DETherefore:
∠BAD ≅ ∠EAD or ∠BAD ≅ ∠CADi) The locus of the points which are equidistant from AB and AC is the line AD as it is the angle bisector of ∠BAC.
The point equidistant from AB and AC is point D
ii) ΔABC is a right triangle, find angle measure of ∠BAC:
m∠BAC = 90° - 40° = 50°Find the magnitudes of BÂD and CÂD:
m∠BAD = m∠CAD = (1/2)m∠BAC = (1/2)(50°) = 25°What is the other 0 of the quadratic function
Answer: Unknown
Step-by-step explanation:
-b+/-√b^2-4ac/2a < plug a b and c into this equation and boom done ez
People were polled on how many books they read the previous year. Initial survey results indicate that s= 18.1 books. Complete parts (a) through (d) below.
(a) How many subjects are needed to estimate the mean number of books read the previous year within six books with 95%confidence?
This 95% confidence level requires ____subjects. (Round up to the nearest subject.)
(b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 95% confidence?
This 95% confidence level requires _____subjects. (Round up to the nearest subject.)
(c) What effect does doubling the required accuracy have on the sample size?
A.Doubling the required accuracy nearly quadruples the sample size.
B.Doubling the required accuracy nearly halves the sample size.
C.Doubling the required accuracy nearly quarters the sample size.
D. Doubling the required accuracy nearly doubles the sample size.
(d) How many subjects are needed to estimate the mean number of books read the previous year within four books with 99% confidence?
This 99% confidence level requires _____ subjects. (Round up to the nearest subject.)
This 99% confidence level requires ____subjects. (Round up to the nearestsubject.)
Compare this result to part (a). How does increasing the level of confidence in the estimate affect sample size? Why is thisreasonable?
A. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.
B. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size.
C. Increasing the level of confidence decreases the sample size required. For a fixed margin of error, greater confidence can be achieved with a smaller sample size.
D. Increasing the level of confidence increases the sample size required. For a fixed margin of error, greater confidence can be achieved with a larger sample size.
is this question from book or just asking about subject???
In science class, a student is measuring the temperature of a solution in science experiment. The solution
started at -3.4 degrees. After two minutes the temperature had increased 12.4 degrees. After a few more
minutes, the temperature decreased 20.4 degrees. After one more minute the temperature increased by
3.2 degrees. What is the final temperature?
Answer:
-11.8
Step-by-step explanation:
Given:
-3.4 to 12.4 increased (difference = 15.8)
12.4 to 20.4 decreased (difference = 8)
20.4 to 3.2 increased (difference = 17.2)
To find:
Final temperature.
Solution:
As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?
Use the difference of the starting result to find the ending result.
3.2 - 15
= -11.8
Therefore, the final temperature is -11.8.
A manager at a store is holding a contest where the first, ninth, and ninetieth customers of the day will win a prize. 100 people visit the store that day. Three different friends visit the store that day. What is the probability that they are the first, ninth, and ninetieth customers of the day? Give your answer as a fraction in simplest form.
Answer: 1/970200
Step-by-step explanation:
This is a permutation problem, because the order matters.
There are 100! ways for the 100 customers to visit the store.
There are (100−3)!=97! ways for the three friends to be the first, ninth, and ninetieth customers
90 degree angle is divided into two sides
Answers:
3x + 40 =64
4x - 6 =26
Step-by-step explanation:
So we are dealing with 2 complementary angles with both add up to 90 degrees. We can write an equation that shows this:
(3x+40) + (4x-6) = 90
Combine like terms
7x + 34 =90
Isolate x
7x = 56
x = 8
Now that we found x, all we have to do is substitute it in the equations:
3x + 40 = ?
3(8) +40 = ?
24+40 = ?
64 = ?
4x - 6 = ?
4(8) - 6 = ?
32 - 6 = ?
26 = ?
Answer:
3x+40= 66
4x-6= 26
Step-by-step explanation:
3x+40+4x-6=90˚ (because the square on the angle represents a 90˚)
Add 4x and 3x
Which is 7x
40 minus 6 is 34
The equation now looks like this:
7x+34=90˚
Subtract 34 on both sides:
7x=56
Divide 7 on both sides:
x=8
For 3x+40
Substitute x with 8
the equation now looks like this:
24+40 Which is 66
For 4x-6
4 times 8 is 32
32 minus 6 which is 26
Hope this helps!
how do you factor 3x^2-3x-90
3x^2 - 3x -90
=3 (x^2 - x -30)
=3 (x^2 −6x+5x−30)
=3(x(x−6)+5(x−6))
=3(x−6)(x+5)
A student randomly guesses the answers to a five-question true/false test. If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses no questions?
ANS: 0.03125
Write a function that has the following characteristics:
-Exponential decay
-Asymptote is y = -2
-Shifted left 3 units from the parent function
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Answer:
y = 0.4^(x+3) -2
Step-by-step explanation:
I have chosen the decay function y=0.4^x as the parent function.
Shifting any function f(x) left 3 and down 2 will transform it to ...
y = f(x+3) -2
So, the shifted parent function is ...
y = 0.4^(x+3) -2
A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?
your family have decided to paint your room. It took 1/2 hour to paint 1/8 of your room. How long will it take to paint your whole room?
Answer:
4 hours
Step-by-step explanation:
In 6 hours, J paints 1 room
So, in 1 hour, J paints 1/6 th of the room
Using similar logic, in 1 hour, T paints 1/12 th of the room.
Working together in one hour, they paint (1/6+1/12) th =1/4 of the room.
1/4 of the room is painted in 1 hour
So, 1 room is painted in 1 1/4=4 hours
Answer:
Step-by-step explanation: 1/7
Can anyone give me the second derivative of 6(x^4+6xy^3-18)^3 please?
Answer:
Step-by-step explanation:
[tex]6(x^4+6xy^3-18)^3[/tex] =
[tex]6x^12+108x^9y^3 - 324x^8 + 648x^6y^6 - 3888x^5y^3 = 5832x^4 + 1296x^3y^9 - 11664x^2y^6 + 34992xy^3 - 34992[/tex]
If you want all the steps then use this: https://www.symbolab.com/solver/second-derivative-calculator/6%5Cleft(x%5E%7B4%7D%2B6xy%5E%7B3%7D-18%5Cright)%5E%7B3%7D?or=input
(a) The diagram below, not drawn to scale, shows a circle, centre 0. EH and EF are tangents to the circle. FOG and JOH are straight lines. The measure of ZFCH = 44º. 44° Calculate, giving reasons for your answer, the measure of: (i) ZEHF (ii) ZFGH (2 marks) (2 marks) (iii)JHE (2 marks (iv) ZJGH 90 (2 marks)
Answer:
it is 6574 for the math problem
(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
Answer:
(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
If you split 8 kg of strawberries among yourself and three friends, how many kilograms of strawberries will each person receive?
Answer:
2kg brainliest expected
Step-by-step explanation:
there's 4 people so divide 8 by 4.
each person shall get 2 kg
3. A train set costs $120.00. Find the discount if it is on sale for
30% off.
Answer:
36
Step-by-step explanation:
To find the discount, you will need to find 30% of $120, so you will need to do:
120*0.3=36
Also, if you were asking for the COST if it was 30% off, it would be 84 as 120-36=84.
(I hope this helps!)
Mr. Janak ordered packages of hamburger buns, cheese slices, and patties for 3 cafes. He listed
the number of packages needed per store in matrix Mand the cost per package in matriz N.
H. C. P. Cost
Cafe 1 [15 10 12]. H. [2.50]
M=cafe2 [20. 13. 15]. N=c[4.25]
Cafe 3. [18. 14. 14]. P [3.15]
What does the stuff down below mean?
I need to find out what the value of Z is pls help
171 ig
Step-by-step explanation:
2z-4= 2
3z+4=
7+2= 9
180(supplementary)
180-9=171 degree
Answer for brainiest
Answer:
x=72°
Step-by-step explanation:
We know angles around a point equals 360°
Therefore,
(2x-61)°+(x-11)°+3x°=360°
2x-61+x-11+3x=360°
Collect like terms,
2x+x+3x-61-11=360°
6x-72°=360⁰
Evaluate;
6x=360°+72°
6x=432°
Divide both sides by 6
x=72°
A cheerful teen willing to help,
please mark BRAINLIEST,
stay salty...
Answer:
x = 72°
Step-by-step explanation:
there is a total of 360 degrees in a circle
we know we can add the angle measures shown and set it equal to 360
3x + (x-11) + (2x-61) = 360
combine 'like terms':
6x + (-11) + (-61) = 360
6x + (-72) = 360
6x = 432
x = 72
Check:
[2(72)-61] + (72-11) + 3(72) should equal 360
(144-61) + 61 + 216 = 360
83 + 61 + 216 = 360
360 = 360
Need help asap!! really important!
Answer:
The second on the left
Step-by-step explanation:
Fill in the blank:
1000 - 7 = ________ (8 letter word)
Hint: It is a reference from someone called Kaneki? No idea who that gentleman is..
I’M SORRY FOR TAKING LONG T-T
Answer:
the answer is 12345678 done
Step-by-step explanation:
I hope it's help
Y=-4(x+1)^2 -8 PLEASE HELP!!
Answer:
Flipped over x-axis, Stretched by 4 times in y values, 1 unit to the left, and 8 units down.
Step-by-step explanation:
Sign in front, outside of parentheses, if negative, represents a vertical flip.
Multiple proceeding is the amount of stretch (or compression if it is a value less than 1)
A positive value within the parentheses represents a shift to the left.
The c value of this function being negative shows a downward transition.
George has four boards that are each 43 feet long and two that are 5.75 feet long.
What is the total length of all the boards together? Give your answer as a decimal.
Answer:
183.50 feet
Step-by-step explanation:
43*4=172
5.75*2=11.50
172+11.50=183.50
183.50 feet
Find the value of y for the given value of I.
y=x/2 + 9;x = -12
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Answer:
y = 3
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
[tex]y=\dfrac{x}{2}+9\\\\y=\dfrac{-12}{2}+9=-6+9\\\\\boxed{y=3}[/tex]
Help I need to solve A. B. C and D.
Answer:
A) -3 > -5
B) -5 < 0
C) 6 > -1
D) tuesday > wednesday
Step-by-step explanation:
< = lower than
> = greater than
Please help ! Given m || n, find the value of x. (9x-7)°=(7x3)° … I don’t understand this I’ll love the help. From anyone. Thank youu
Check the picture below.
Answer:
x = 2
Step-by-step explanation:
When a transversal crosses parallel lines, it creates 8 angles. Pairs of angles that are in the same direction from the points of intersection are called "corresponding angles." Corresponding angles are congruent.
__
In the given diagram, the marked angles are both "southeast" of their respective points of intersection. That means they are corresponding angles, and have the same measure.
(9x -7)° = (7x -3)°
2x = 4 . . . . . . . . . . . divide by °, add 7-7x
x = 2 . . . . . . . . . divide by 2
_____
Check
The measures of the angles are ...
(9(2) -7)° = (18 -7)° = 11°
(7(2) -3)° = (14 -3)° = 11° . . . . same as the first angle, as it should be
Suppose you recently upgraded your gaming experience with an Wireless Controller for $74.99 and an Game Pass Ultimate service for $14.99 per month.
Answer:
$89.98
Step-by-step explanation:
$74.99+$14.99=$89.98
Order the side lengths AB, BC, and CA from least to greatest.
(Note that the figure is not drawn to scale.)
Answer:
BC < AC < AB
Step-by-step explanation:
In triangle smallest has the smallest opposite side and so on
first find ∠A = 180 - 59 - 79
= 42
∠A < ∠B < ∠C
Then ∠A opposite side is BC is less
so BC < AC < AB
simplify 3 wholes 6/8 + 2 wholes 2/8
Answer:
5/1
Step-by-step explanation:
3.75 + 2.25 = 5
5 = 5/1
Find the GCF of 21m5n2 and 28m4n2.
Please help me
please say A,B,C or D