The value of x for the given Right angled triangle is x= 8√3. So, option c is correct.
What is meant by right-angled triangle?90 degrees or a straight angle is always one angle. The hypotenuse is the side that has an angle of 90° on it. Always, the hypotenuse is the longest side. The remaining two inner angles add up to a total of 90°. The bases and perpendiculars are the other two sides that are close to the right angle.
A right triangle is a triangle with one of the internal angles at 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.
Given,
BD=28 and BC=12
CD=BD-BC
=28-12
=16
AB²=BC+AC²
AB²=(12)²+x²
x²=AB²-144 -----(1)
From ΔACD
AD²=AC²+CD²
AD²=x²+16²
x²=AD²-256 -----(2)
From ΔABD
BD²=AB²+AD²
784=AB²+AD²
2x²=AB²+AD²-144-256
2x²=784-144-256
2x²=384
x²=192
x=√192
x=√64×3
x=8√3
Therefore, The value of x for the given Right angled triangle is x= 8√3.
Hence, option c is correct.
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What are the coordinates for D?
options:
(-3, 2)
(-3, -1)
(-2, -3)
(-3, -2)
Answer:
(-3, -2)
Explanation:
Coordinates are represented in the form of (x, y)
To know the x coordinates see the value on the x-axis.
To know the y coordinates see the value on the y-axis.
From there we can identify:
A = (x, y) = (-4, 4)
B = (x, y) = (2, 2)
C = (x, y) = (0, -5)
D = (x, y) = (-3, -2) ← Required answer.
find the missing number 9:4::63: ?
Answer: 28
Step-by-step explanation:
28 is thhe missing number
Help me with this problem please
Answer:
the constant rate of change is 20
Step-by-step explanation:
The applet below allows you to view three different angles. Use the slider at the top-left of the applet to switch the angle that is shown. Each angle has a radian measure that is a whole number. Angle A a. Use the slider to view Angle A. What is the radian measure of Angle A? radians b. Use the slider to view Angle B. What is the radian measure of Angle B? radians c. Use the slider to view Angle C. What is the radian measure of Angle C? radians Submit\
The values of all sub-parts have been obtained.
(a). The radian measure of angle A is 6 radians.
(b). The radian measure of angle B is 3 radians.
(c). The radian measure of angle C is 2 radians.
What is relation between radian and degree?
A circle's whole angle is 360 degrees and two radians. This serves as the foundation for converting angles' measurements between different units. This means that a circle contains an angle whose radian measure is 2 and whose central degree measure is 360. This can be written as:
2π radian = 360° or
π radian = 180°
(a). Evaluate the radian measure of angle A:
Near to 360° and radians measure whole number, so we get,
A = 6 radian {1 radian = 57.296°}.
(b). Evaluate the radian measure of angle B:
Near to 180°, and radian measure whole number, so we get,
B = 3 radian
(c). Evaluate the radian measure of angle C:
Near to 90 and radian measure whole number, so we get,
C = 2 radian.
Hence, the values of all sub-parts have been obtained.
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what are the factoris a^7+ab^6
Answer:
Step-by-step explanation:
a^6(a + b^6)
How many bit strings of length 14 have:
(a) Exactly three 0s?
(b) The same number of 0s as 1s?
(d) At least three 1s?
There are 3432 bit strings of length 14 with the same number of 0s as 1s.
How to calculate the bit strings of length 14?(a) How many bit strings of length 14 have exactly three 0s?
To find this, we can use the combination formula: C(n, k) = n! / (k!(n-k)!), where n = 14 (length of the bit string) and k = 3 (number of 0s).
C(14, 3) = 14! / (3!(14-3)!) = 14! / (3! * 11!) = 364
So, there are 364 bit strings of length 14 with exactly three 0s.
(b) How many bit strings of length 14 have the same number of 0s as 1s?
Since the bit string has 14 bits, we need 7 0s and 7 1s for the same count.
C(14, 7) = 14! / (7!(14-7)!) = 14! / (7! * 7!) = 3432
So, there are 3432 bit strings of length 14 with the same number of 0s as 1s.
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4. Write the equation of the line represented by the following table (2 point):
ху
-3 100
-2 200
-1 300
0 400
1
500
2 600
3
700
HELP HELP i need clear explanation
9514 1404 393
Answer:
(x -3)/(x -1) and (x +2)/(x -3)
Step-by-step explanation:
If you want the product of two fractions to be a/b, then 'a' must be a factor in the numerator of one of them, and 'b' must be a factor in the denominator of one of them.
'a' and 'b' are already in the numerator and denominator of a/b, so we can choose the other fraction to be something that has a value of 1, such as c/c.
(a/b)(c/c) = (ac)/(bc) = a/b
The intermediate product (before we reduce the result) has a numerator of 'ac' and a denominator of 'bc'. We can split those into two parts however we like. For example, we can get the same result by multiplying ...
(a/c)(c/b) = (ac)/(bc) = a/b
So, a simple answer to your question could be ...
\(\left(\dfrac{x-3}{x-1}\right)\times\left(\dfrac{x+2}{x-3}\right)=\dfrac{x+2}{x-1}\)
__
The idea is to multiply the given result by 1 in some form. That form can be as complicated as you like, and its factors can be grouped any way you like
pls help with the answer asap thank ypu
Answer:
3(2x+1)+2(x+4)
=6x+3+2x+8
=6x+2x+3+8
=8x+11
Someone plz answer this with an actual answer
Complete the equation in slope intercept form for the line that has a slope of 12 and passes through the point (3,20)
Y=__x-__
Answer:
12,7
Step-by-step explanation:
Help please and thank you (Algebra 1)
Hi ;-)
\((-7x^3+9x^2-3)\cdot(-2x^2-5x+6)=\\\\=14x^5+35x^4-46x^3-18x^4-45x^3+54x^2+6x^2+15x-18=\\\\=\boxed{14x^5+17x^4-91x^3+60x^2+15x-18}\)
Does someone mind helping me with this. Thank you!
Answer:13
Step-by-step explanation:
y=kx
Substitute values
104=8k
Divide both sides by 8 to solve for k
k=13
10/6 / 1/24 Find Qoutient
Li Wei has several streams of income, as shown in the table. Some streams are active income and some are passive.
Source
Amount
Royalties from a fantasy novel
$1400
Salary
$24,000
Stock dividends
$530
Business investment interest
$1080
Profits from selling jewelry online
$3195
What was his total passive income this year? Enter your answer rounded to the nearest dollar, such as: $4253.
Based on the streams of income that Li Wei has, we can calculate that he has a total passive income of $3,010.
Passive income refers to income that is made without a person actively involving themselves in the activity generating the income.
In this scenario, the passive income sources are:
Stock dividends Business investment interest Royalties from a novelTotal passive income therefore is:
= 530 + 1,080 + 1,400
= $3,010
In conclusion, the total passive income is $3,010.
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May someone please help me with this :)
Answer:
24
Step-by-step explanation:
6+8=14 14+10=24
How to calculate Pounds to Grams?
Converting between pounds and grams is a straightforward calculation that can be done using the conversion factor of 453.59 grams per pound.
Pounds to grams conversion is a simple calculation that is widely used in various fields such as cooking, medicine, and science. One pound is equivalent to approximately 453.59 grams, making it easy to convert between the two units of measurement.
To calculate pounds to grams, you can use the conversion factor of 453.59 grams per pound. The formula is as follows:
Grams = Pounds x 453.59
For example, if you want to convert 2 pounds to grams, you would multiply 2 by 453.59 to get 907.18 grams. It is also possible to convert grams to pounds by using the inverse of the conversion factor. To convert grams to pounds, the formula is:
Pounds = Grams / 453.59
For example, if you have 500 grams, you can divide 500 by 453.59 to get 1.1023 pounds.
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how+much+did+briana+save+by+purchasing+a+backpack+that+cost+$45+with+a+sales+promotion+of+20%+off+instead+of+a+backpack+that+cost+$42+with+a+sales+promotion+of+10%+off?
To calculate the amount Briana saved by purchasing a backpack with a sales promotion, we need to find the difference in prices between the two backpacks after applying the respective discounts.
For the first backpack that originally costs $45 with a sales promotion of 20% off:
Discounted price = $45 - (20% * $45) = $45 - $9 = $36
For the second backpack that originally costs $42 with a sales promotion of 10% off:
Discounted price = $42 - (10% * $42) = $42 - $4.2 = $37.8
Now we can calculate the savings:
Amount saved = Original price - Discounted price
Amount saved = $42 - $37.8 = $4.2
Therefore, Briana saved $4.2 by purchasing the backpack that cost $45 with a 20% off promotion instead of the backpack that cost $42 with a 10% off promotion.
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5n + 20 -10 + 15n=50
Solve for the variable
Step-by-step explanation:
2n is the answer because you combined the two variables then you do 20n plus 20n minus. 10 equals 50 then subtract 10 from 50 and get forty the divide that by 20 which equals 2
Pythagorean Theorem
Question 8: A right angle triangle has a hypotenuse of 45cm and a leg of
40 cm. Use pythagorean theorem to determine the other leg.
Answer:
other leg is 20.62 cm
Step-by-step explanation:
pythagorean theorem is
a^2+b^2=c^2
c is the hypotenuse
40^2+b^2=45^2
1600+b^2=2025
b^2=2025-1600
b^2=425
b= the square root of 425
b=20.62
Answer:
Step-by-step explanation:
Formula
c^2 = a^2 + b^2
Givens
Hypotenuse (c) = 45
a = 40
b = ?
Solution
45^2 = 40^2 + b^2
2025 = 1600 + b^2 Subtract 1600 from both sides.
2025-1600 = 1600-1600 + b^2 Combine
425 = b^2 Take the square root of both sides.
√425 = √b^2
b = 20.62
Answer
The third side is 20.62 cm
I was wounding if you could help me with this question please.
URGENT: Hi everyone! I have a hard time understanding formulae in algebra. Any help?? (I have a test on it too)
Answer:
I can try to help. whats your issue with algebra?
Answer:
Step-by-step explanation:
What exactly is your difficulty can you be more specific perhaps?
If I give give you a formulae e.g. N= P¥s/ yR^2 and I don't say what each letter or symbol represents then its meaningless but if I state S = d/t and say that S = speed of an object and that equates to d (distance) divided by t (time) then hopefully you will know and be able to relate to the overall formulae
In my earlier study years I had to learn complex electrical and mechanical formulae e.g. Xl = 2pi f L ( Electrical Inductive Reactance) and its all about finding a strategy that works for you.
You have to get familiar with formulae and thats by practice, the more you use them the more you tend to remember them
Questions:
PQ is a straight line.
Diagram NOT
accurately drawn
(126% )
(a)
Work out the size of the angle marked xº.
(b) (i) Work out the size of the angle marked yº.
Give reasons for your answer.
Answer:
the answer is up u can see it if u want explanation u can message me here
Greg invested $11,000 in two accounts.
• The first account pays 5% interest per year.
• The second account pays 8% interest per year.
• Greg earned a total of $752.50 in interest at the end of the first year.
How much did Greg invest in the 5% account?
A. $6,750
B. $3,415
C. $5,500
D. $4,250
Answer:
The amount invested in the 5% account is $4,250
Step-by-step explanation:
Let the amount invested in the first be $x and the amount invested in the second be $y
Total of both is $11,000
Thus, we have
x + y = 11,000 •••••••••(i)
For the first account, the interest earned will be;
5/100 * x = 5x/100 = 0.05x
For the second account , the interest earned will be;
8/100 * x = 0.08x
Adding both gives the total amount of interest
That will be ;
0.05x + 0.08y = 752.50 •••••(ii)
From equation i above;
y = 11,000 - x
Substitute this into ii
0.05x + 0.08(11,000-x) = 752.5
0.05x + 880 - 0.08x = 752.5
0.08x-0.05x = 880-752.5
0.03x = 127.5
x = 127.5/0.03
x = $4,250
If HL=16, LI =9, and HK = 24, find KJ to the nearest hundredth.
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According to the figure ;
LK || IJ
If there are two parallel sides in a triangle, we can use the Thales theorem.
_________________________________
According to the Thales theorem we have :
\( \frac{HL}{ LI } = \frac{HK}{KJ} \\ \)
Thus :
\( \frac{16}{9} = \frac{24}{ KJ} \\ \)
Multiply sides by KJ
\(KJ \times \frac{16}{9} = 24 \\ \)
Multiply sides by 9
\(KJ \times 16 = 24 \times 9\)
Divided sides by 16
\(KJ = \frac{24 \times 9}{16} \\ \)
\(KJ = \frac{8 \times 3 \times 9}{8\times 2} \\ \)
8 s simplifies
\(KJ = \frac{3 \times 9}{2} \\ \)
\(KJ = \frac{27}{2} \\ \)
\(KJ = \frac{26 + 1}{2} \\ \)
\(KJ = \frac{26}{2} + \frac{1}{2} \\ \)
\(KJ = 13 + 0.50\)
\(KJ = 13.50\)
Done....
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when peers at work offer suggestions to correct a weakness a person should
When peers at work offer suggestions to correct a weakness, it is important for the person to respond in a thoughtful and constructive manner.
Here are some guidelines for effectively addressing such suggestions:
Listen and be open-minded: Actively listen to the suggestions without becoming defensive or dismissive. Remember that your peers are offering their perspectives to help you improve. Keep an open mind and be willing to consider their viewpoints.
Express gratitude: Appreciate the effort and willingness of your peers to provide feedback. Thank them for their suggestions and acknowledge their input. Demonstrating gratitude fosters a positive and collaborative work environment.
Seek clarification, if needed: If you need further clarification on any of the suggestions, ask your peers for more information. This shows your commitment to understanding their feedback and ensures you can address the weakness effectively.
Reflect on the feedback: Take some time to reflect on the suggestions offered. Evaluate their validity and consider whether they align with your own self-assessment. Honest self-reflection is crucial in recognizing and addressing weaknesses.
Develop an action plan: Once you have understood the suggestions and reflected on them, create an action plan to address the weakness. Break down the steps you need to take to improve and set realistic goals for yourself. This proactive approach demonstrates your commitment to personal growth and professional development.
Seek support if necessary: If you require additional resources or assistance to address the weakness, don't hesitate to ask for help. Reach out to mentors, supervisors, or relevant professionals who can provide guidance or training. Collaborating with others can accelerate your progress in overcoming the weakness.
Communicate progress: Keep your peers informed about the steps you are taking to improve. Sharing your progress demonstrates your commitment to growth and allows them to see your efforts. It also encourages ongoing support and accountability from your colleagues.
Show resilience: Addressing weaknesses takes time and effort. Be prepared for setbacks and challenges along the way. Stay resilient and maintain a positive mindset, focusing on continuous improvement rather than being discouraged by temporary obstacles.
Remember, accepting and addressing weaknesses is a part of personal and professional growth. Embrace the feedback from your peers as an opportunity to enhance your skills and become a stronger professional.
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You are selling tickets for a high school play. Student
tickets cost $4 and general admission tickets cost $6.
You sell 31 tickets and collect $170. How many of each
type did you sell?
Answer:
sold 23 Tickets and 8 General Admission Tickets
Step-by-step explanation:
y = General Admission tickets
x = tickets
4x + 6y = 170
x + y = 31
Use the Substitution method:
4x + 6(31 - x) = 170
4x + 186 - 6x = 170
4x - 6x = -16
-2x = -16
x = 8
y = 31 - 8 = 23
Is this answer correct (see attachment)
Answer:
yes
Step-by-step explanation:
yeyess
nice
very nice
i like
yes
.
Let us factorise the following alg
x4/16-y4/81
Step-by-step explanation:
this way we get value of x and y
hope it helps ☺️☺️
if u like give thanks
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1.-4,-1,1,6
2.by substituting the values given, we get
32-|15+8|
32-|23|
32-23=9
3.-15+7=8
4..27-(-12)=27+12=39
5.-6.05+(-2.1)
-6.05-2.1=-8.15
6.-3/4-(-2/5)
-3/4+2/5
=-7/20
7.-9(-12)
=108
8.(3.8)(-4.1)
-15.58
9.(-8x)(-2y)+(-3y)(z)
(16xy)+(-3zy)
(16xy)-(3zy)
10.by substituting the value given,we get
2.5*(-3.2)+5
-8+5
-3
so here are the answers,mark as brainliest if u find it useful
thank you
A school sports team contains 68 students. 33 do field events, 40 do track events, 23 do swimming, 14 do both field and track events. If 15 students do field events only and 10 do both swimming and track events, how many students do a) swimming only b)track events only c) all three events?
Let's label the regions in the Venn diagram as follows:
F: students who do only field events
T: students who do only track events
S: students who do only swimming events
FT: students who do both field and track events
ST: students who do both swimming and track events
FST: students who do all three events
From the information given in the problem, we can fill in some of the values in the Venn diagram:
F + FT + 15 = 33 (33 students do field events, and 15 do field events only)
T + FT + 14 = 40 (40 students do track events, and 14 do both field and track events)
S + ST + 10 = 23 (23 students do swimming, and 10 do both swimming and track events)
F + T + S + 2FT + ST + FST = 68 (there are 68 students in total)
We can simplify these equations to:
F + FT = 18
T + FT = 26
S + ST = 13
F + T + S + 2FT + ST + FST = 68
To solve for the remaining unknowns, we need to use some algebra. We can start by solving for FT:
F + FT = 18
T + FT = 26
Adding the two equations, we get:
F + T + 2FT = 44
Rearranging, we get:
FT = (44 - F - T) / 2
Now we can substitute this expression for FT into the equation for the total number of students:
F + T + S + 2FT + ST + FST = 68
F + T + S + 2((44 - F - T) / 2) + ST + FST = 68
F + T + S + 44 - F - T + ST + FST = 68
Simplifying, we get:
S + ST + FST = 26
Now we have two equations involving S, ST, and FST:
S + ST = 13
S + ST + FST = 26
We can solve for S and ST by subtracting the first equation from the second:
S + ST + FST = 26
(S + ST) + FST = 26
Substituting S + ST = 13:
13 + FST = 26
FST = 13
So there are 13 students who do all three events. Now we can use the equation S + ST = 13 to solve for S:
S + ST = 13
ST = 10 (given in the problem)
S = 13 - 10 = 3
So there are 3 students who do swimming only. Similarly, we can use the equation T + FT = 26 to solve for T:
T + FT = 26
FT = (44 - F - T) / 2
Substituting F + FT = 18:
T + (18 - F) / 2 = 26
Multiplying both sides by 2:
2T + 18 - F = 52