what is the length of ab?

What Is The Length Of Ab?

Answers

Answer 1

Look at the picture.

We must use the Pythagorean theorem two times.

first time:

[tex]d^2=4^2+6^2\\\\d^2=16+36\\\\d^2=52\to d=\sqrt{52}[/tex]

second time:

[tex]AB^2=1^2+(\sqrt{52})^6\\\\AB^2=1+52\\\\AB^2=53\to AB=\sqrt{53}[/tex]

Answer: √53
What Is The Length Of Ab?

Related Questions

please help me with these im stuck

Answers

Answer:

Is it 15?

Step-by-step explanation:

Since it is asking for the sites, aren't you just supposed to count the dots...?

Answer:

15

Step-by-step explanation:

The question is asking how many sites are shown in this data set. So, on the side of the rectangle, it says "Number of Sites" & the dots represent the number of sites. So, there are 15.


Sorry if I'm incorrect...

What is 15 to the 1/3 power in radical form

Answers

[tex]\sqrt[n]{a^m}=a^{\frac{m}{n}}\\\\\boxed{15^{\frac{1}{3}}=\sqrt[3]{15}}[/tex]

Radical form is the form of a equation in which the number or variable is written under some power of the root. The 15 to the 1/3 power in radical form is [tex]\sqrt[3]{15}[/tex].

Given information-

15 to the 1/3 power is the 1/3 power of the number fifteen and it can be expressed as,

[tex]=(15)^{\dfrac{1}{3}[/tex]

This number has to be written in the radical form.

Radical form-

Radical form is the form of a equation in which the number or variable is written under some power of the root.

When a fractional exponents of the number is given the numerator becomes the power and the denominator becomes the root. Let [tex]x^{\dfrac{a}{b}[/tex] is a number with fractional exponents where a and b are the real and positive integer, then a becomes the power and the b becomes the root of the number x.

[tex]x^{\dfrac{a}{b} }=\sqrt[b]{x^a}[/tex]

For the given number,

[tex]=(15)^{\dfrac{1}{3}}=\sqrt[3]{15}[/tex]

Hence the 15  to the 1/3 power in radical form is [tex]\sqrt[3]{15}[/tex].

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Which of the following is a factor of 2[tex]x^{4}[/tex] + 22x[tex]x^{3}[/tex] + 60x[tex]x^{2}[/tex]?


[tex]x^{3}[/tex]

[tex]x^{4}[/tex]

x + 4

x + 5

Answers

[tex]2x^4+22x^3+60x^2=2x^2(x^2+11x+30)=2x^2(x^2+6x+5x+30)\\\\=2x^2[x(x+6)+5(x+6)]=2x^2(x+6)(x+5)\\\\Answer:\ x+5[/tex]

Answer:

(x+5) is the final answer.

Step-by-step explanation:

We have to find the factors of [tex]2x^4+22x^3+60x^2[/tex]

Then select correct choice or choices from the given options.

[tex]2x^4+22x^3+60x^2[/tex]

[tex]=2x^2(x^2+11x+30)[/tex]

[tex]=2x^2(x^2+6x+5x+30)[/tex]

[tex]=2x^2(x(x+6)+5(x+6))[/tex]

[tex]=2x^2((x+5)(x+6))[/tex]

[tex]=2x^2(x+5)(x+6)[/tex]

From above factors, we see that only (x+5) is correct.

Hence (x+5) is the final answer.

A special paint requires a mixture of paints: A, B and C. The ratio is: 60% A, 25% B, and 15% C. If you want 20 gallons of the special color, how many gallons of paint A will you need?

Answers


[tex]20 \times .6 = 12[/tex]
12 gallons

You would need 12 gallons of paint A. You can find this answer by finding what 60% of 20 is, and do that by multiplying 20 • (0.6). This is what gives you 12. Following that, you’ll need 3 gallons of C, and 5 gallons of B.


There are 1600 kilocalories in 5 cups of dog food that mike gives his adult dog. Mike gives his puppy 2 cups of the same dog food. How many kilocalories are there in this 2-cup serving?

Answers

Answer:

640 kilocalories are there in this 2-cup serving.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

As per the given statement: There are 1600 kilocalories in 5 cups of dog food that mike gives his adult dog. Mike gives his puppy 2 cups of the same dog food.

Let x kilocalories are there in 2-cup serving.

then, by definition of proportion;

[tex]\frac{1600}{5} =\frac{x}{2}[/tex]

Multiply both sides by 2 we get;

[tex]x = \frac{1600}{5} \times 2[/tex]

Simplify:

[tex]x = 320 \times 2 = 640 kilocalories[/tex]

Therefore, 640 kilocalories are there in this 2-cup serving.



write 423% as a decimal

Answers

[tex]p\%=\dfrac{p}{100}\\\\423\%=\dfrac{423}{100}=4\dfrac{23}{100}=4.23\\\\\boxed{423\%=4.23}[/tex]

Answer:

4.23

Step-by-step explanation:

423%

Percent means out of 100

423/100

Pt the decimal 2 places to the left of the 3

4.23


I'm really bad at math!


Here it goes: Find the sum

(5b-9) -3(8-26)



Help!!!!!


-Math Disaster

Answers

Given : (5b - 9) - 3(8 - 26)

⇒ (5b - 9) - 3(-18)

⇒ (5b - 9) + 54

⇒ 5b - 9 + 54

⇒ 5b + 45

Answer:

i think its 5b + 45

Step-by-step explanation:

im not 100% sure what your asking for but i just distributed the -3 to the 8 and -26 and got 5b -9 -24 + 78. then i combined the like terms to get 5b + 45.

hope this helps !!

F(x)=x^3+4x^2+x-6
What are the real zeros

Answers

Final answer:

To find the real zeros of the given function, set it equal to zero and solve the resulting equation.

Explanation:

The real zeros of the function F(x) = x^3 + 4x^2 + x - 6 are the values of x that make the function equal to zero.

Step 1: Set the function equal to zero: x^3 + 4x^2 + x - 6 = 0.Step 2: Solve the equation by factoring, synthetic division, or using the Rational Root Theorem.Step 3: The real zeros of the function F(x) = x^3 + 4x^2 + x - 6 are the solutions obtained from Step 2.

In a certain​ year, brand A of​ heart-rate watch cost ​$39.99 and brand B cost ​$59.99. A nonprofit community health organization purchased 34 ​heart-rate watches for use at a wellness center. If the organization spent ​$1619.66 for the​ watches, how many of each type did they​ purchase?

Answers

Answer:

Brand A = 21 heart-rate watches.

Brand B = 13 heart-rate watches.

Step-by-step explanation:

Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.

We have been given that a nonprofit community health organization purchased 34 ​heart-rate watches for use at a wellness center.

We can represent this information in an equation as:

[tex]A+B=34...(1)[/tex]

We have been given that in a certain​ year, brand A of​ heart-rate watch cost ​$39.99 and brand B cost ​$59.99 and the organization spent ​$1619.66 for the​ watches.

We can represent this information in an equation as:

[tex]39.99*A+59.99*B=1619.66...(2)[/tex]

We will use substitution method to solve our system of equations.

From equation (1) we will get,

[tex]A=34-B[/tex]

Substituting [tex]A=34-B[/tex] in equation(2) we will get,

[tex]39.99*(34-B)+59.99*B=1619.66[/tex]

[tex]1359.66-39.99*B+59.99*B=1619.66[/tex]

[tex]-39.99*B+59.99*B=1619.66-1359.66[/tex]

[tex]20*B=260[/tex]

[tex]B=\frac{260}{20}[/tex]

[tex]B=13[/tex]

Therefore, the organisation purchased 13 heart-rate watches of brand B.

Now let us substitute B=13 in equation (1).

[tex]A+13=34[/tex]

[tex]A+13-13=34-13[/tex]

[tex]A=21[/tex]

Therefore, the organisation purchased 21 heart-rate watches of brand A.

What is the center of the circle given by the equation by the equation (x-3)2 + (y-9)2=16

Answers

Answer:

centre = (3, 9 )

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 3)² + (y - 9)² = 16 is in this form

with centre = (3, 9) and r = [tex]\sqrt{16}[/tex] = 4


Answer:

(3,9) -apex!!!!!!

Step-by-step explanation:

(02.06) The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you determine how many days are equal to 42 hours. 1 day 24 hours 12 hours 12 hours (3 points) 1 and 1 over 4. days 1 and 1 over 2. days 1 and 3 over 4. days 2 days

Answers

Answer:

1 and 3/4 days are equal to 42 hours

Step-by-step explanation:

42 hours = (42 hours) (1 day / 24 hours)

42 hours = 42/24 days

Simplyfing the fraction: Dividing the numerator and denominator by 6:

42 hours = (42/6) /  (24/6) days

42 hours = 7/4 days

42 hours = (4+3)/4 days

42 hours = (4/4+3/4) days

42 hours = 1 3/4 days

Final answer:

To determine how many days are equal to 42 hours, you divide 42 by 24 which results in 1.75. Therefore, 42 hours is equivalent to 1 and 3/4 days.

Explanation:

In this mathematics problem, we are asked to convert 42 hours into a measurement of days. To begin with, we know that 1 day equals 24 hours. Therefore, to convert 42 hours into days we will divide 42 by 24.

The result of this division is 1.75. In terms of a day fraction, this value represents 1 and 3/4 days. As such, we can say that 42 hours is equivalent to 1 and 3/4 days.

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The test grades of a science class are given.

78, 75, 70, 92, 69, 83, 98, 76, 75, 82, 91, 89

The grades are normally distributed with a mean of 81.5 and a standard deviation of 9.3.



What is the z-score of the highest grade in the test?

Round the answer to the nearest hundredth.

Answers

Answer:

1.77 to nearest hundredth

Step-by-step explanation:

Z-score = (score - mean)  / standard deviation

98 is the highest score and its z-score is (98- 81.5) / 9.3

= 1.7742


Answer: 1.77

Step-by-step explanation:

Given : The test grades of a science class are given.

78, 75, 70, 92, 69, 83, 98, 76, 75, 82, 91, 89

The grades are normally distributed with a mean [tex]\mu= 81.5[/tex] and a standard deviation [tex]\sigma=9.3[/tex] .

let x be any random variable represents the test grades of a science class.

Formula for z-score:-

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

The highest score= 98

Then , the z-score of the highest grade in the test will be :-

[tex]z=\dfrac{98-81.5}{9.3}=1.77419354839\approx1.77[/tex]

Hence, the z-score of the highest grade in the test =1.77

If the number 38,469 is rounded to the nearest thousand, how many zeros does the rounded number have?

Answers

This rounded number has three zeros. The number 38,469 rounded to the nearest thousand is 38,000.

To find the number of zeros in 38,469 when rounded to the nearest thousand, we first need to round the number appropriately. We look at the hundreds place (the third digit from the right), which is '4'. Since 4 is less than 5, we do not round up.

Identify the digit in the hundreds place of 38,469 (which is '4').Since 4 is less than 5, do not round up.Change all the digits after the thousands place to zero.The rounded number is 38,000, which contains three zeros.

The number p and −1.2 are additive inverses. Drag and drop −1.2 and p to their correct positions on the number line. Drag and drop the label “Sum” to the sum of −1.2 and p

Answers

Answer:

p=1.2

Step-by-step explanation:

Additive inverse of any number means a number which can be added to the original number to get

Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.

Given number p is additive inverse off -1.2 so p must be 1.2.

Sum will obviously be 0.

So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.


Answer:P=1.2


Step-by-step explanation:


3. The population of Detroit, MI was 673,104 in 2018. The population of the United States was about 325.7 million in 2017 (a) Write each population in scientific notation. (2 points) (b) About how many times larger was the population of the United States than the population of Detroit, MI? Show your work

Answers

Answer:

a) 6.73104 x 10⁵

b) about 480 times larger

Step-by-step explanation:

a) 673,104 people in scientific notation is 6.73104 x 10⁵

b)325.7 million is the same as 325700000 = 3.257 x 10⁸

so (3.257 x 10⁸) divided by (6.73104 x 10⁵) ≈ 0.48 x 10³

480 times larger

DONT KEEP SCROLLING PLEASE

Please I don’t understand 50 POINTS BRAINLIEST

Answers

Answer:why didn’t you want me to scroll down ?  Can you answer my question


Step-by-step explanation:


1)Not necessarily a parallelogram

2)parallelogram

3)parallelogram

4)parallelogram

How determine if a quadrilateral is a parallelogram

To classify a shape as a parallelogram, the following four conditions must be satisfied

1. Opposite sides are equal in length.

2. Opposite angles are equal.

3. Consecutive angles are supplementary

4. Diagonals bisect each other.

Each of these conditions contributes to the definition of a parallelogram, and all of them must be satisfied for a shape to be considered a parallelogram.

From the figures

1) Not necessarily a parallelogram

The opposite sides are not equal.

GH is congruent to Gl and HJ is congruent to IJ. These are adjacent sides instead of opposite sides equality.

2) Given

RS is parallel to TU

SU is parallel to R(Converse of the Opposite Sides Are Congruent (OSAC) Theorem)

Since the both pairs of opposite sides of the quadrilateral are congruent, then the quadrilateral is a parallelogram.

3) Given PQRS

PQ||RS(given)

PR||QS(Converse of the Opposite Sides Are Congruent (OSAC) Theorem)

Since the both pairs of opposite sides of the quadrilateral are congruent, then the quadrilateral is a parallelogram.

4) <ABC ≅ DCB(alternate angles, AB||CD BC is transversal)

<ACB ≅ DBC(alternate angles,AC||BD,BC is transversal)

Therefore

Opposite angles are equal.

Pairs of opposite sides are parallel.

Adjacent angles are supplementary.

so, the quadrilateral is a parallelogram.

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help please. its math. please explain your answer

Answers

Answer:


Step-by-step explanation: 20 percent

:)




What are the zeros of the polynomial function f(x)=x^3+2x^2-24x?

Answers

Immediately, we can factor an x out of each term to simplify the polynomial.

x(x^2 + 2x - 24)

In doing this, we know the first zero will be x = 0.

Using the AC method, we can find the next two zeros.

x(x - 4)(x + 6)

The zeros, or x-intercepts of the polynomial, are 0, 4, and -6.
Final answer:

The zeros of the polynomial function f(x) = x^3 + 2x^2 -24x are x = -6, 0, and 4.

Explanation:

The question requires finding the zeros of the polynomial function f(x) = x^3 + 2x^2 -24x. The zeros of this function can be found by setting the function equal to zero and solving for x. So, we have 0 = x^3 + 2x^2 - 24x. All terms have an 'x', so we can factor out 'x' to give: 0 = x (x^2 + 2x - 24). The quadratic formula (which is used for expressions of the form ax^2 + bx + c = 0) to solve x^2 + 2x - 24 = 0, we get x = -6 and x = 4. Therefore, the zeros of the function are x = -6, 0, and 4.

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find the exact value of x

Answers

ΔABC and ΔCBD are similar. Therefore we have the proportion:

[tex]\dfrac{AB}{BC}=\dfrac{BC}{BD}\\\\AB=6;\ BC=x;\ BD=2[/tex]

Substitute:

[tex]\dfrac{6}{x}=\dfrac{x}{2}[/tex]    cross multiply

[tex](x)(x)=(6)(2)\\\\x^2=12\to x=\sqrt{12}\\\\x=\sqrt{4\cdot3}\\\\x=\sqrt4\cdot\sqrt3\\\\\boxed{x=2\sqrt3}[/tex]

Point slope form of (2,4) and (3,1)

Answers

Answer:

y-4 = 3 (x-2)

Step-by-step explanation:

To find the slope of a line

slope = (y2-y1)/(x2-x1)

slope = (1-4)/(2-3)

         = -3/-1

         =3


Now we use the point slope form for a line

y-y1 = m(x-x1)

y-4 = 3 (x-2)

Answer:

y-4 = 3 (x-2)

y=-3x+10



What is the slope for (-3,14)(5,10)

Answers

Answer:

slope = -1/2

Step-by-step explanation:

The formula for slope is (y2-y1)/ (x2-x1)

          m = (10-14)/(5--3)

            = (-4)/(5+3)

            = -4/8

           = -1/2

What is the slope of this line

Answers

From what I can tell the slope is 1/5, use rise over run from one point to another

What is $4.99 x 0.5lb + $6.99 x 0.25lb?

Answers

Answer:

$3.77

Step-by-step explanation:

$4.99 x 0.5lb + $6.99 x 0.25lb?

First we multiply

2.495+1.725

Then we add

3.77

We will spend $3.77

The answer would be $3.77

If (6 to the 0 power ) to x power = 1, what are the possible values of x? Explain answer

Answers

6 to the power of 0 is one because, if we work backwards, say from 6 to the power of 3 which equals 216, then we go to 6 to the power of 2 which is 36, what can we do to get from 216 to 36, we can divide by 6, so if we divide 36 by 6 we get 6 or 6 to the 1 power, divide by 6, 1 more time we get 1 or 6 to the power of 0

The value of x can be any real number because raising 1 to any exponent will always result in 1.

The question needs us to solve for x in the equation [tex](6 to the 0 power)^x[/tex]= 1. We know that any non-zero number raised to the 0 power is 1 (e.g.,[tex]10^0[/tex] = 1). Thus, 6 to the 0 power is 1 regardless of the value of 6. From this, we have[tex]1^x[/tex], which is still 1 for any value of x because 1 raised to any power is always 1. Hence, the equation remains true for any real number value of x.

during a hoagie sale fundraiser a ski club sold 42 Italian hoagies and 53 roasted beef Hoagies what is the ratio of Italian hoagie sold to the total number of Hoagies sold

Answers

Answer:

42:53 would be the answer

Step-by-step explanation:


Final answer:

In a ski club fundraiser, the ratio of Italian hoagies sold to the total number of hoagies sold, when the numbers of Italian and roast beef hoagies are 42 and 53 respectively, is 42:95.

Explanation:

The student is asking for the ratio of Italian hoagies sold to the total number of hoagies sold at a ski club fundraiser. To calculate this ratio, one must add the number of Italian hoagies to the number of roast beef hoagies to determine the total hoagies sold. In this case, 42 Italian hoagies were sold, and 53 roast beef hoagies were sold, yielding a total of 95 hoagies sold. Thus, the ratio of Italian hoagies sold to total hoagies sold is 42:95. In ratio terms, this expresses that for every 42 Italian hoagies sold, there were 95 total hoagies sold.

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Oceanside bike rental shop charge 15 dollars plus 8 dollars an hours for renting a bike. Jason paid 79 dollars to rent a bike. How many hours did pay to have the bike checked checked out?

Answers

Greetings!

Answer:

8 hours

Step-by-step explanation:

Firstly, the cost for renting the bike needs to be subtracted from the total amount:

79 - 15 = 64

Now this can be divided by 8 to find the hours:

64 ÷ 8 = 8

So he paid for 8 hours.


Hope this helps!

Someone help me with this question ASAP and show work please and thank you

Answers

Answer:

g(f(x)) = x

Step-by-step explanation:

You are given f(x) = -4x - 1 and g(x) = [tex]\frac{x+1}{-4}[/tex]. Keep in mind that f(x) or g(x) is the same as a y = equation, but two separate equations.

You are trying to find g(f(x)), which means that you will use f(x) and substitute this value into the x value in the equation of g(x).

It will look like: g(-4x - 1) = [tex]\frac{x+1}{-4}[/tex]

[tex]\frac{(-4x-1)+1}{-4}[/tex]

Now evaluate the expression to solve the problem. Start by combining like terms.

[tex]\frac{(-4x)}{-4}[/tex]

You are left with -4x/-4. We can simplify this even further by dividing both sides of the fraction by -4/-4. The -4's cancel out and become 1's, so you are left with:

[tex]x[/tex]

Answer:


Step-by-step explanation:

g(f(x)) means that wherever you see an x in g(x) you put f(x) in it's place. Read that sentence a couple of times until it makes sense.

g(x) = (x + 1)/-4

g(f(x)) = (f(x) + 1) / - 4           Now wherever you see f(x), put in -4x - 1

g(f(x)) = [(-4x - 1) + 1] / - 4     Remove ( )

g(f(x)) = [-4x - 1 + 1 ] / - 4

g(f(x)) = [-4x] / - 4                 Do the division

g(f(x)) = x

Neat problem. thanks for posting.


What is the value of 3b when b = 18?

Answers

Answer:

54

Step-by-step explanation:

to evaluate substitute b = 18 into 3b

3b = 3 × 18 = 54


[ Answer ]

54

[ Explanation ]

B = 18

Substitue B for 18

3 * 18

= 54


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Write the equation in slope intercept form of a line that goes through (4,9) and has a slope of 1/2

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = [tex]\frac{1}{2}[/tex], hence

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute (4, 9) into the partial equation

9 = 2 + c ⇒ c = 9 - 2 = 7

y = [tex]\frac{1}{2}[/tex] x + 7 ← equation in slope-intercept form


In math, how do you solve 2h<200?

Answers

Answer:

h < 100

Step-by-step explanation:

isolate h by dividing both sides by 2

h < 100


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