What is the exact length of AB?

What Is The Exact Length Of AB?

Answers

Answer 1

Answer:

AB = 5[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

AB² + BC² = AC²

AB² + (2[tex]\sqrt{3}[/tex] )² = (9[tex]\sqrt{2}[/tex] )²

AB² + 12 = 162 ( subtract 12 from both sides )

AB² = 150 ( take square root of both sides )

AB = [tex]\sqrt{150}[/tex] = [tex]\sqrt{25(6)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{6}[/tex] = 5[tex]\sqrt{6}[/tex]


Related Questions

James has some baseball cards. Matt has three times as many baseball cards as James. Together they have more than 20 baseball cards. How many baseball cards could James have?

Answers

Answer:

He could have 7 or more cards.

look at that attachment and help me, please

Answers

The original price of the phone was about $319.80.

Fill in that number for p to get your answer.

please helppp!!....................

Answers

Answer:

−−3

Step-by-step explanation:

Combine like terms

−2f−3+f

−−3

What is the difference between a rhombus and a diamond?

Answers

Answer:

Rhombus and Trapezoid are well-defined mathematical objects while diamond shape is a layman's term. Each shape has four sides, and diamond shape refers to a rhombus. Rhombus has equal sides, with opposing sides parallel to each other.

Step-by-step explanation:

so basicaly i think a diamond is a rhombus but a rhombus is not a diamond.

3(x-2)-(1-x)>2x-7
Please help I need to solve this to get a good grade!!!!

Answers

Answer:

x>0 (0,~)

Step-by-step explanation:

3(x-2)-(1-x)>2x-7

3x - 6 - 1 +x > 2x -7

4x -7 > 2x -7

4x - 2x > -7 +7

2x > 0

x>0

If you don't understand why you can ask me back

A research company surveys people in a community about a new recycling program. The company expects 6,000 people to respond favorably. If there is a percent error of 2.5%, what is the range of the number of people who are expected to respond favorably to the survey?

Answers

Answer:

5850

Step-by-step explanation:

is the question complete? if so this is the answer pls check if the question has more details

Can someone please do this for me?

Answers

Answer:

64°

Step-by-step explanation:

So supplement angles are equal to 180, so first our two angles added together will be 180:

x + x = 180

Now one of these angles is 6 greater than half:

x + (x/2 + 6) = 180

Then we will solve for x:

x + (x/2 + 6) = 180

x + x/2 + 6 = 180

x + x/2 = 174

[tex]\frac{3}{2}[/tex]x = 174

x = 116

Plug it back in:

x + (x/2 + 6) = 180

         /\

     x/2 + 6

   (116)/2 + 6

        64

To check:

116 + 64 = 180 ✓

B
Use the Pythagorean Theorem to find the length of the
missing side of the right triangle. Then find the value of
each of the six trigonometric functions of 0.
c = 20
A
с
b = 16
The length of the missing side of the right triangle is a =

Answers

The length of the missing side of the right triangle is a=4

The third side of the triangle is 12 units and the measure of the angle θ is 37°.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The third side of the triangle 'a' is calculated by Pythagoras' theorem. Then we have

c² = a² + b²

20² = a² + 16²

400 = a² + 256

a² = 400 - 256

a² = 144

a = 12

Then the value of the angle θ is calculated as,

sin θ = 12 / 20

sin θ = 3 / 5

sin θ = sin 37°

θ = 37°

The third side of the triangle is 12 units and the measure of the angle θ is 37°.

More about the right-angle triangle link is given below.

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Find the distance between the 2 points (5,10)and (5,4)

Answers

Answer:

6

Step-by-step explanation:

Please help me with this math question!

Answers

Answer:

175 to 1

Step-by-step explanation:

1 square yard
What is the area?
10 square yards
8 square yards
12 square yards

Answers

Answer:

Step-by-step explanation:

area of 1 square=1 yd²

area of 10 squares=?

$75, 12.5%, 1 year simple interest

Answers

Answer:

$9.38

Step-by-step explanation:

I think you want the interest right?

so then 75 * 0.125 * 1 = 9.375

rounding it gives 9.38

$85 jeans, 7% tax thanks

Answers

Answer:

$79.05

Step-by-step explanation:

Simply convert 7% into a decimal which os 0.07.  Multiply 0.07 by 85 and subtract it since it's a tax, which means it's deducted. Which will give you $79.05.

Use the given numbers above the table in multiplying integers and to fill in the blanks inside the box.​

Answers

Answer:

Step-by-step explanation:

1 × 5 = 5

(- 2) × (- 3) = 6

4 × (- 6) = - 24

I hope I've helped you.

Answer:

Picture for solition......

Sara is saving money to but a new Iphone. Her saving habit is modeled by the function S(w)=20w+15,where w is equal to the number of weeks. write a statement that describes what S95)=115 means

Answers

Answer:

It means that when Sara save money for 5 weeks, she will get a total amount of 115 money.

Use the graph to determine the following.
a. the function's domain
b. the function's range
c. the x-intercepts, if any
d. the y-intercept, if any
e. the function values, f(1) and f(4).
Assume that the graph of the function
continues its trend beyond the displayed coordinate grid.

Answers

D: (negative infinity, infinity)
R: (-2, negative infinity)
X - Intercepts: Non-existent
Y - Intercepts: (0,-4)
f(1)=-3
f(4)=-4

From the graph of function,

a. Domain = (-∞, ∞)

b. Range = [-2, -∞)

c. x-intercept = NA

d. y-intercept = (0, -4)

e. f(1) = -3 and f(4) = -4

What is domain of a function?

"It is a set of points which for which the function is well defined."

What is the range of the function?

"It is the set of all possible output values."

What is intercept?

"It is a point at which the graph of the function intersects the x-axis or y-axis."

For given example,

From the graph of a function we can observe that, function takes all values of x

So, domain = (-∞, ∞)

The value of the function starts from -2 and it tends towards -∞.

So, Range of f(x) = [-2, -∞)

From the graph of a function we can observe that the graph of a function does not intersect the x-axis.

So, for given function has no x-intercept.

The graph of the function intersects y-axis at (0, -4).

So, y-intercept = (0,-4)

We need to find the value of f(1) and f(4)

From the graph,

for x = 1,

⇒ f(1) = -3

for x = 4,

⇒ f(4) = -4

Therefore, from the graph of function,

a. Domain = (-∞, ∞)

b. Range = [-2, -∞)

c. x-intercept = NA

d. y-intercept = (0, -4)

e. f(1) = -3 and f(4) = -4

Learn more about the domain, range, intercepts here:

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Do number 1 pleaseeeee

Answers

Answer:

[tex] {27.5}^{2} [/tex]

Step-by-step explanation:

[tex]area \: of \: a \: triangle = \frac{1}{2} bh [/tex]

to make the method easy we can divide the fingure into 2 parts

first part

[tex] \frac{1}{2} \times b \times h \\ \\ \frac{1}{2} \times 8 \times 5[/tex]

(because 3+2=5)

[tex] \frac{1}{2} \times 8 \times 5 = {20}^{2} [/tex]

second part

[tex] \frac{1}{2} \times 5 \times 3 = {7.5}^{2} [/tex]

add the 2 areas

[tex] {20}^{2} + {7.5}^{2} = {27.5}^{2} [/tex]

sea f(x)=x²+x+1
¿cual es el cambio entre a=1 y a=4?
¿calcula la tasa de cambio promedio de f entre a=1 y a=4

Answers

Answer:

6

Step-by-step explanation:

la respuesta es una imagen de arriba

mi explicación también está en la imagen de arriba

llama mi atención si no entiendes

aquarium 1 contains 18.6 gallons of water. jaythen will begin filling aquarium 1 at a rate of 1.2 gallons per minute. aquarium 2 contains 45.6 gallons of water. palchin will begin to draining aquarium 11 at a rate of 0.8 gallons per minute . after how many minutes both aquariums contain the same amount of water ?

Answers

Answer:

2.8

Step-by-step explanation:

hello pls help me need ​

Answers

9514 1404 393

Answer:

  0.25 < x < 2

Step-by-step explanation:

The quadratic can be factored as ...

  4x^2 -9x +2 < 0

  (4x -1)(x -2) < 0

The factors are zero for x = 1/4 and x = 2. The product of the factors will be negative, satisfying the inequality, for values of x that make one factor positive and the other one negative. Those values of x are between x=1/4 and x=2.

The solution is 1/4 < x < 2.

The graph on the number line has open circles at x=1/4 and x=2, and is shaded between those values.

_____

Additional comment

The circles on the graph are open because those x-values are not part of the solution set.

1. 3 − = 9
2. − 5 = 2
3. − = 16
4. 2 − = 5
5. − 3 = 4​

Answers

Answer:What is the simplified form of each expression? A 9−2. 9-2 = 1. 92 ... Problem 4. Problem 3 continued. Problem 2. B. 1 x. −5. 1 x -5 = 1 , x-5.

Step-by-step explanation:

Question 6
The combined weight of 5 student back packs is 36.9 pounds. What is the approximate weight of 1 back pack?

Answers

Answer:

The approximate weight of 1 student back pack is 7.38 pounds.

Step-by-step explanation:

We have to find the unit rate of one back back. All we need to do is divide the 5 backpacks by the number of pounds, so:

36.90 ÷ 5 = 7.38

Answer: The approximate weight of one back pack is 7.38.

Step-by-step explanation: Divide the combined weight by 5. Hope this helps.

Find the slope of the line that passes through (7, 10) and (5, 13).

Answers

Answer:

it is -3/2

Step-by-step explanation:

use rise/run or y/x to find slope. Start with the lower x value, so the run (movement on the x axis) is 2 so plug that in, rise/2. Fine the rise whish is -3, plug that in and you get -3/2

Hey guys could anyone please help me with this question?
I kinda need this ASAP to grad and um also please be relevant to the question!
THANKS TO THE SOMEONE WHO HELPED!

2. A coupon has been issued for crackers at the local grocery store. The crackers originally retail for $3.79 a box and the coupon is good for 10% off the price marked on the shelf. When you arrive at the store the crackers are already marked down by 15%. What is the price you will pay for the box of crackers?

Answers

Answer:

$3.54

Step-by-step explanation:

$3.79-25% (because you add the 15% + 10%)

which is $3.54

Answer:

$2.90

Step-by-step explanation:

start with original price

$3.79

marked down 15%

3.79 × .15 = .5685 or .57

3.79 - .57 = 3.22 price on shelf

minus 10% coupon

3.22 × .1 = .322 or .32

$3.22 - .32 = $2.90

Which graph represents the function r(x) = Ix-21 - 1

Answers

Answer:

the one you already have marked (a)

A is correct

Step-by-step explanation:

A is correct
u have already guessed i see

A store buys a TV for $100. They sell it for a 70% mark-up. What is the new cost of the TV?

Answers

Answer:

170

Step-by-step explanation:

Since the TV is worth $100 initially but has a 70% markup, it means they increased the price by the percent markup

100 x .70 = 70

100 + 70 = $170

The new cost of the TV sold at this store is equal to $170.

Given the following data:

Cost price = $100Markup = 70%

To determine the new cost of the TV sold at this store:

How to calculate markup price.

We would calculate the markup price by multiplying the cost price by the markup.

[tex]Markup\;price = \frac{70}{100} \times 100\\\\Markup\;price = 0.7\times 100[/tex]

Markup price = $70

Now, we can find the new cost of the TV:

[tex]New\;cost = Markup\;price + Cost\;price\\\\Total\;cost = 70 + 100[/tex]

Total cost = $170.

Read more on markup here: https://brainly.com/question/11676563

Jennifer is renting a bicycle to ride along the beachfront.the rental charges include a fixed charge of $3 and an additional cost of $1.75 per hour. Which equeation represents the total rental charges for the bicycle ,T.if Jennifer rents it for n hours?

Answers

Answer:

T=1.75n+3

Step-by-step explanation:

all i did was combine the terms together. T is the total it costs for the initial rental charge (3) plus the number of hours times 1.75

pls help me fill it out​

Answers

Going down it’s

11
6
23
12
I’m not sure of answer but I learned it today soooo

The price for a pair of trainers was £45. The price reduced to £27. Work out the percentage change in price.

Answers

Answer:

look at the photo........................

What is the value of this expression? 5/6−(1/8÷3/4)
Enter your answer, as a fraction in simplest form, in the box.
PLEASE HELP!

Answers

Answer:

79/96

Step-by-step explanation:

5/6-(1/8÷3/4)5/6-1/8×4/35/6-1/65-1/64/62/3
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