the length of a ruler is 170cm,if the ruler broke into four equal parts.what will be the sum of the length of three parts

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The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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The length , width and height of a box with volume 125 cubic centimeters will be

1, 5 and 25.

The volume of a box can be calculated by multiplying its length, width, and height.

here given volume = 125

V = l x w x h

125 = l x w x h

l, w, h is the factors of 125

To find the common factors, we must first list the factors of each of the given numbers.

since 125 is  composite number, it will have more than two factors.

125 → 1, 5, 25 and 125.

The factors of 125 is 1, 5, 25,125

here 125 cannot consider as length since volume is 125 other sides cannot be 0.

so the length, width, height can be 1 , 5, 25.

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The symbol U means that we are going to do the Union of two sets, which means that we will take the elements of set A, and the elements of set B, and create a new set C that contains all the elements of A and B.

Therefore, if A = [-14, -8] and B = (-8, 10), the union of that two sets, represented by [-14, -8] U (-8, 10) will be

Final answer:

Given that you have a room that has dimensions l and w wherein l is the length of the room while w is the width of the room (shown in a diagram below).

the area of the room can be computed using the equation

Basically, we just multiply the length and the width of the room.

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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Answer: The answer is C, hope I helped :)

Step-by-step explanation:

A purchase of 10 tickets is at an expected loss of $0.857 to the person.

Option B) $8.57 loss is the right choice.

The expected gain or loss is a weighted average of the probability of the different gains or losses and the gains or losses.

We are asked to calculate the expected gain or loss for a participant who purchases 10 tickets for a raffle costing $1 each, with a prize of a telescope valued at $425. We are told that a total of 2980 tickets have been sold.

First, we calculate the expected gain or loss on 1 ticket,

= 425*(1/2980) + (-1)(1)

= 0.1426174496 - 1

= -0.857382550.

∴ A purchase of 1 ticket is at an expected loss of $0.857

Now, we multiply this by 10 to get the expected gain or loss for the person with 10 tickets.

= -0.857382550*10 = -8.57382550

∴ A purchase of 10 tickets is at an expected loss of $0.857 to the person. Option B) $8.57 loss is the right option.

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Answer:

Option c (I cannot........Florida) is the appropriate response.

Step-by-step explanation:

The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.

The other three given alternatives aren't related to the question. Thus option c is the correct one.

Answer:

d = 13

Step-by-step explanation:

d + 32 = 45

Subtract 32 from each side

d+32-32 = 45-32

d = 13

Hey there!

\(d+32=45\)

To get d, you have to subtract 45 by 3.

\(45-3=13\\d=13\text{(ANSWER)}\)

Hope this helps!

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Answer:200

Step-by-step explanation:

A speculator estimates that the price of the 0.29 carat diamond ring will be y = 1200 by y = 5000x - 250.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

given

y = 5000x - 250

y = 5000 * 0.29 - 250

y = 1200

A speculator estimates that the price of the 0.29 carat diamond ring will be y = 1200 by y = 5000x - 250.

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we have the following:

solving for r:

therefore, the answer is B.

Answer:

81.12 square meters

Step-by-step explanation:

Using the equation for the area of a rectangle, the original width w of the pen is determined by 10.4(w + 1.3) = 81.12

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Given that farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape then he decides to add 1.3 meters of

fencing to the width of the pen but the length will remain 10.4 meters.

Length =  10.4 meters.

Width w = (w + 1.3)

The new area of rectangle  =  81.12 square meters

Then: Using the equation for the area of a rectangle, the original width w of the pen is determined by 10.4(w + 1.3) = 81.12

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The function that describes the table of values is y = 4x + 7

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table, we can see that

As x increases by 1

The y values increase by 4

So, we have

m = Slope = 4/1 = 4

The equation is calculated as

y = mx + c

So, we have

y = 4x + c

Using the other points, we have

c = 7

This gives

y = 4x + 7

Hence, the function that describes the table of values is y = 4x + 7

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The unknown angle measures are d = 76, c = 53, a = 51 and b = 76

From the question, we have the following parameters that can be used in our computation:

The lines

The sum of angles on a line is 180

So, we have

b = 180 - 51 - 53

b = 76

By vertical angle theorems, we have

d = 76

c = 53

a = 51

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Answer:

U = (4,4)

V = (1,1)

W = (3,-3)

Step-by-step explanation:

step 1: note down their current positions

U = (-4, 4)

V = (-1,1)

W = (-3, -3)

step 2: flip the sign of the x coordinates since you are flipping them over the y axis.

U = (-4, 4) --> (4,4)

V = (-1,1) --> (1,1)

W = (-3, -3) --> (3,-3)

step 3: that's it lol you have your answers

U = (4,4)

V = (1,1)

W = (3,-3)

Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

Step-by-step explanation:

Hence,

91 is divisible by 7.

f(x) = 8(x -3) (option C)

Explanation:

let y = inverse of f(x)

Interchange x and y:

The volume of the cone is approximately 211.06 cubic meters.

Why is that?

Well, the formula for the volume of a cone is:

V = (1/3)πr^2h

where:

Substituting the given values, we get:V = (1/3)π(4.5m)^2(10m)

V = (1/3)π(20.25m^2)(10m)

V = (1/3)π(202.5m^3)

V = 67.5π

Using a calculator, we get:

V ≈ 211.06 cubic meters

Therefore, the volume of the cone is approximately 211.06 cubic meters.

Answer:

There is approximately 17% chance of a person not having a disease if he or she has tested positive.

Step-by-step explanation:

Denote the events as follows:

D = a person has contracted the disease.

+ = a person tests positive

- = a person tests negative

The information provided is:

\(P(D^{c})=0.95\\P(+|D) = 0.98\\P(+|D^{c})=0.01\)

Compute the missing probabilities as follows:

\(P(D) = 1- P(D^{c})=1-0.95=0.05\\\\P(-|D)=1-P(+|D)=1-0.98=0.02\\\\P(-|D^{c})=1-P(+|D^{c})=1-0.01=0.99\)

The Bayes' theorem states that the conditional probability of an event, say A provided that another event B has already occurred is:

\(P(A|B)=\frac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A^{c})P(A^{c})}\)

Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:

\(P(D^{c}|+)=\frac{P(+|D^{c})P(D^{c})}{P(+|D^{c})P(D^{c})+P(+|D)P(D)}\)

              \(=\frac{(0.01\times 0.95)}{(0.01\times 0.95)+(0.98\times 0.05)}\\\\=\frac{0.0095}{0.0095+0.0475}\\\\=0.1666667\\\\\approx 0.1667\)

So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.

As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.

The Expression (x + 2y – 2z) – (2x – 5y – 6z) is equivalent to -x + 3y + 5z

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

(x + 2y – 2z) – (2x – 5y – 6z)

so, (x + 2y – 2z) – 2x + 5y + 6z

= ( x- 2x) + (2y+ y)+ ( 6z- z)

=  -x + 3y + 5z

Hence, (x + 2y – 2z) – (2x – 5y – 6z) is equivalent to -x + 3y + 5z

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Answer:

45 percent

Step-by-step explanation:

20-11=9

9 divided by 20= 0.45

0.45 x 100= 45%

Answer:

45∘

Step-by-step explanation:

∠2 = 180∘ - 135∘ = 45∘

∠2 = ∠1 = 45∘

∠1 = ∠4 = 45∘

Answer:

1,333 frogs

Step-by-step explanation:

okay so we know that mass remains conserved no matter where you are.

same here ^^

if the total mass of brass is 200 kg

the total mass of the new frogs formed from it when put together will be the same :)

and if there were n such frogs formed

we have,

total mass = n × mass of each frog

200 = n × 3/ 20

n = 4000/ 3

so it becomes something like 1,333.33

that is nearly 1,333 frogs can be made out of 200 kg of brass each weighing 3/ 20kg (the last ones a bit less to make upto 200kg)

Answer:

Answer. = 176 m sq.

Step-by-step explanation:

Hope it helps you

Have a nice day