Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC

Answers

Answer 1

Based on the data given, the length of line segment AC is 2.29

What is the length of side AC?

Based on the given data:

AC=BCAB=3line segment CD is perpendicular to line segment ABCD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

[tex]AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29[/tex]

In conclusion, the length of  AC is 2.29

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Related Questions

Which functions have a maximum and are transformed to the left and down of the parent function, f(x)=x2? Check
all that apply.
p(x) = 14(x + 7)² + 1

g(x) = -5(x + 10)² - 1

s(x) = –(x − 1)? +0.5

g(x) = 2x² + 10x-35

t(x) = -2x² - 4x - 3

Answers

Using translation concepts, the functions that have a maximum and are transformed to the left and down of the parent function are given by:

g(x) = -5(x + 10)² - 1t(x) = -2x² - 4x - 3

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

For the translations, we have that:

Shift left, hence x -> x + a, a > 0.Shift down, hence y -> y - a, a > 0.Having a maximum means that the leading coefficient is negative.

The functions that respect these conditions are:

g(x) = -5(x + 10)² - 1t(x) = -2x² - 4x - 3 = -2(x² + 2x) - 3 = -2(x + 1)² - 1

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Choose the lowest common denominator.
03 04 05 06 08 010 012
Find the sum:
Alw
The sum is
and
colch
The expression written in equivalent form with a
common denominator is
Done

Answers

1) 8

2) [tex]-\frac{3}{4}=-\frac{6}{8}[/tex], so it is equal to [tex]-\frac{6}{8}+\frac{5}{8}[/tex]

3) 1/8

Given that a bag of m&ms has 21 brown candies, 15 orange candies, 10 yellow candies, 14 red candies, and 5 green candies, find the probabilities

Answers

The probability of drawing brown candies , orange candies,  yellow candies, red candies, green candies is 0.323 , 0.231 , 0.154 , 0.215 ,0.077

What is Probability ?

Probability is the study of likeliness of an event to happen.

It is given that a bag of  candies that have

21 brown candies

15 orange candies,

10 yellow candies,

14 red candies,

5 green candies,

probabilities of drawing each candy =?

Total Candies = 21 +15+10+14+5 = 65

Probability = No. of chances / Total outcomes

Probability of drawing Brown candies = P(B) = 21 /65 =  0.323

Probability of drawing Yellow candies = P(Y)= 10/65= 0.154

Probability of drawing Orange candies = P(O) = 15/65=  0.231

Probability of drawing Red candies =P( R) = 14/65= 0.215

Probability of drawing Green candies = P(G) = 5/65= 0.077

Therefore the probability of drawing brown candies , orange candies,  yellow candies, red candies, green candies is 0.323 , 0.231 , 0.154 , 0.215 ,0.077.

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The coordinates of the points P, Q and R are given by (-2, 1), (1, 4) and (4, k) respectively. Find the value(s) of k if
(b) PQ=QR(clue:distance).​

Answers

There are two values of k based on the assumption that PQ = QR and the definition of distance and the Pythagorean theorem, k₁ = 7 and k₂ = 1.

How to find the missing value of a coordinate

Herein we can find the value of the missing coordinate of point by the Pythagorean theorem, which is described below:

PQ = QR     (1)

[tex](Q_{x}-P_{x})^{2} + (Q_{y}-P_{y})^{2} = (R_{x}-Q_{x})^{2} + (R_{y}-Q_{y})^{2}[/tex]

If we know that P(x, y) = (- 2, 1), Q(x, y) = (1, 4) and R(x, y) = (4, k), then the missing value of the point R is:

[1 - (- 2)]² + (4 - 1)² = (4 - 1)² + (k - 4)²

(k - 4)² = 9

k - 4 = ± 3

k = 4 ± 3

There are two values of k based on the assumption that PQ = QR and the definition of distance and the Pythagorean theorem, k₁ = 7 and k₂ = 1.

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Define coefficiend, base and index of an algebraic term with an example​

Answers

Step-by-step explanation:

a number used multiplier variable

example 6z menas 6 times z and z is a variable so sixes coefficient variable with no number have a question of one example X is a really 1x

how long would it take to drive 18 miles while going 18 mph

Answers

Answer:

1 hour

Step-by-step explanation:

18 miles because if u go 18 miles per hour it takes a hour

The graph is of a function in the form p(t) = a*b^t. What is the function?

Answers

Answer:

  p(t) = 5*2^t

Step-by-step explanation:

We can solve for 'a' and 'b' using the point coordinates shown on the graph.

Setup

Substituting for (t, p(t)), the two equations we can make from the given points are ...

  p(t) = a*b^t

  5 = a*b^0 . . . . . . . (t, p(t)) = (0, 5)

  10 = a*b^1 . . . . . . . (t, p(t)) = (1, 10)

Solution

The first equation tells you ...

  5 = a

The second equation tells you ...

  10 = 5*b

  2 = b

Equation

The function is ...

  p(t) = a*b^t

  p(t) = 5*2^t

Giving brainliest to first accurate answer

Answers

Answer:

x<3

Step-by-step explanation:

There isn't a question that I can see for the first image, and I cannot see the yellow part, so I am not 100% sure if this is an accurate answer to the question you were asking.

What is the slope of a line parallel to the line with equation 2x−5y=9?


25

−25

−95

−52

Answers

Answer:

For this one the parallel slope is going to be 2/5

Step-by-step explanation:

how would i explain my students proportional reasoning

Answers

Answer:

proportional reasoning involved thinking about relationship and making comparisons of countries are values in the words of John went Diwali portion reasoning is difficulty find it is not something that you can or not to but is diploma over 3 reasoning

ANSWERS QUCIK PLS AND THINK U

Answers

Answer:

50.3cm²

Step-by-step explanation:

Formula: The area of a circle is found by A = πr²

Given:

radius is 4cmπ = 3.142

Plug in:

A = πr² → A = (3.142)(4)²

            → A = (3.142)(16)

            → A = 50.272

"1 decimal places",  round up to 50.3

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324 divided into 6.846

Answers

324 divided into 6.846 is 47.33

How to evaluate the division?

The statement is given as:

324 divided into 6.846

This is represented as:

324/6.846

Using a calculator, we have:

47.3269062226

Approximate

47.33

Hence, 324 divided into 6.846 is 47.33


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They work-infested $18,000 into accounts, one yielding 4% interest and the other yielding 12%. If he received a total of $1,280 and interest at the end of the year, how much did he invest at 4%?​

Answers

Answer:

$11,000

Step-by-step explanation:

Let amount invested for 12% yield be p . Amount for 4% yield is therefore (18000-p)

Interest for 12%: 12% of p=0.12p

Interest for 4%: 4% of (18000-p)=0.04(18000-p)=720-0.04p

Total interest:

=0.12p + (720-0.04p)

=0.12p-0.04p+720

=0.08p+720

But we already know the total interest is 1280

Therefore: 0.08p+720=1280

0.08p=1280-720

0.08p=560

p=560÷0.08

p=7000

Therefore at 4% the person invested:

(18000-p)

18000-7000

$11,000

does 6(2x-6)=-7(-2x+4) have no solution or infinite solution

Answers

Answer:

It does not.

Step-by-step explanation:

[tex]6(2x - 6) = -7(-2x + 4); \\ 6 * 2x - 6 * 6 = -7 * (-2x) + (-7) * 4; \\ 12x - 36 = 14x - 28; \\ 14x - 12x = -36 + 28; \\ 2x = -8; \\ x = -4.[/tex]

[tex]\{-4\}[/tex] is our set of solutions. Answering your question, it does not.

Two friends, Olivia and Melanie, took summer jobs. The equation y=22.2xy=22.2x represents Melanie's earnings in dollars and cents, yy, for working xx hours. Olivia earned $1156 in 40 hours. How much less per hour does Melanie earn than Olivia?

Answers

Answer:

  $6.70 per hour

Step-by-step explanation:

We want to compare the pay for 1 hour's work.

Melanie's pay

The equation tells us that her pay for working 1 hour can be found from the equation using x=1.

  y = 22.2x

  y = 22.2×1 = 22.2 . . . . pay for 1 hour

Melanie earns $22.20 per hour.

Olivia's pay

We assume that Olivia's pay is proportional to hours worked, so pay for 40 hours will be 40 times 1 hour's pay.

  pay per hour = $1156/(40 h) = $28.90/h

Olivia earns $28.90 per hour.

Pay difference

The difference in their rates of pay is ...

  $28.90 -22.20 = $6.70

Melanie earns $6.70 less per hour than Olivia.

Dante has scored 30, 18, and 28 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 26 points per game

Answers

Answer:

He needs to score 28 points.

Step-by-step explanation:

[tex]1^{st}\,\,score: 30\,\,points;\\\\2^{nd}\,\,score: 18\,\,points;\\\\3^{rd}\,\,score: 28\,\,points;\\\\4^{th}\,\,score: \,\,?[/tex]

Let's calculate Dante's 4th score, given that the average is 26 points:

[tex]\frac{S1 + S2 + S3 + S4}{4} = 26\\\\\frac{30 + 18 + 28 + S4}{4} = 26\\\\76 + S4 = 104\\\\S4 = 28\,\,points.[/tex]

............help ?????????????​

Answers

Step-by-step explanation:

Solution.x+40°+35°=180°(straight line)x+75°=180°x=180°-75°x=105

hope it helps!!

Answer:

x = 75°

Step-by-step explanation:

∠ p = 40°     [alternate interior angles]

∠ q = 35°    [alternate interior angles]

x = ∠ p + ∠ q

x = 40° + 35°

x = 75°  

3) Which letter has a perpendicular line segment?

A. Y

B. L

C. R

D. U

Answers

Answer: L

Step-by-step explanation:

The two segments that form L meet at a 90 degree angle.

Which statements are true? Select three options.

You can use for reference ;)

Answers

The answers are A,C,&E

Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5 .)

Answers

The frequency which is to filled in the table is 3,1,2,4.

Given  shopping time of ten shopkeeper: 36,20,32,18,20,33,28,34,37,23.

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Shopping time is given as 36,20,32,18,20,33,28,34,37,23.

Intervals for which frequency is given is 18 to 22, 23 to 27, 28 to 32, 33 to 37.

Numbers in the range 18 to 22=18,20,23 therefore 3

Numbers in the range 23 to 27=23 therefore 1

Numbers in the range 28 to 32=32 , 28  therefore 2

Numbers in the range 33 to 37=36, 33, 37, 34 therefore 4.

Hence the frequency which is to filled are 3,1,2,4.

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Evaluate the following expression.

(5x)^0

Answers

Hello,

Answer:

1

Step-by-step explanation:

(5x)⁰ = 1

Rule : a⁰ = 1

Answer:

1

Step-by-step explanation:

(5x)^0

Any base raised to the zero power is 1

a^0 = 1

5^0 =1

(5x)^0 =1

Use the spinner to identify the probability to the nearest hundredth of the pointer landing on a non-shaded area

Answers

So when identifying the probability of a non-shaded area count all of the areas that are shaded and non-shaded.

In this instance it’s five so each individual section of being landed on is 20%

So there are three non-shaded areas out of five.

Use this fraction 3/5, and divide the nominator by a denominator which is 3 divided by 5.

3/5 = 0.6 or 60%

So the probability of landing on a non-shades are is 60%


Given the function defined by g(x)=x²+4x-3, find g (s).

Answers

Answer:

[tex]g(s)=s^{2} +4s-3[/tex]

Step-by-step explanation:

If we have a function f(x) and want to find f(a) , just substitute by x=a in the Equation of f(x) , the Result will be f(a)

So for our Question , we have  [tex]g(x)=x^{2} +4x-3[/tex]

and we want to find g(s) , so just substitute by x = s in the Equation of g(x)

[tex]g(s)=s^{2} +4s-3[/tex]

X. y.
-1. 1/10
0. 1/2
1. 5/2
2. 25/2
3. 125/2



What is the rate of change of the function described in the table?
a. 12/5
b. 5
c. 25/2
d. 25​

Answers

Answer: B

Step-by-step explanation:

Each time x increases by 1, y is multiplied by 5.

Work out the surface area of the triangular prism below. Give your answer in cm cm². 17 cm 14 cm 15 cm 8 cm​

Answers

Answer:

Step-by-step explanation:

A= 2AB+(a+b+c)h

AB= s (s﹣a) ( s﹣b) (s﹣c)

s = a+b+c

2

Solving for A

A= ah +bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=17·8+14·8+15·8+1

2·﹣174+2·(17·14)2+2·(17·15)2﹣144+2·(14·15)2﹣154≈ 567.35897

Answer: 567.36

The formula = A = 1/2 bh

You can find the answer with that formula

Whats the correct answer answer asap for brainlist

Answers

Answer:

B

Step-by-step explanation:

The answer to the question is C

At a restaurant levys total bill is 46 bucks, if he wants to tip 15 percent how much should he leave as a tip?

Answers

Total bill is 46
Wants to tip 15%
There; 15/100 * 46/1 = 6.9

9029
2066
10
4
-6-54-3-2-12- 2 3 4 5 6 x
-f(x)
-6
-8
-10
-12+

Answers

78533dkkdkxsaxcrcpsnsnawsp

what mixed number is equivalent to the fraction 28/5

Answers

The mixed number equivalent to the fraction 28 / 5 is 5 3 / 5

What is mixed fraction?

A fraction represented with its quotient and remainder is a mixed fraction.

Therefore, it is a combination of a whole number and a proper fraction.

Hence,

The fraction is in improper fraction, let's convert it to mixed fraction.

Therefore,

28 / 5 = 5 3 / 5

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Find the missing value of the ordered triple that will make the solution to the equation x + 2y – 3z = 8 true.

7. (4, , 0)

8. ( , -2, -2)

9. (2, 3, )

10. (-3, -2, )

Answers

The missing value of the ordered triple for questions 7,8,9 and 10 will be  y=2,x=6,z=0, and z=-5 respectively.

What is the equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The given equation in the problem is;

7) (4, ,0)

Substitute the values in the equation;

⇒x+2y-3z = 8,

⇒4+2y-3(0) = 8

⇒2y=8-4

⇒2y=4,

⇒y=4/2

⇒y=2

8) (, -2, -2)

Substitute the values in the equation;

   

x+2(-2) -3(-2)= 8

x-4+6 =8

x= 8-6+4

x=8-6+4

x=6

9)(2, 3, )

Substitute the values in the equation;

⇒2+2(3)-3z = 8

⇒8-3z = 8

⇒-3z = 0

⇒z = 0/-3

⇒z= 0

10) (-3, -2, )

Substitute the values in the equation;

   

⇒-3+2(-2) -3z = 8

⇒-7 -3z = 8

⇒-3z = 15

⇒z = 15/-3

⇒z = -5

Hence, the missing value of the ordered triple for questions  7,8,9, and 10 will be  y=2,x=6,z=0, and z=-5 respectively.

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