Find the length of diagonal BC of ABCD to the nearest hundredth.

Find The Length Of Diagonal BC Of ABCD To The Nearest Hundredth.

Answers

Answer 1

The length of BC as shown in the diagram is 6.32units

Calculating distance between two points

The formula for calculating the distance between two points is expressed as:

D = √(x2-x1)²+(y2-y1)²

Given the following coordinate points (3, 6) and (5, 0)

Substitute

BC = √(0-6)²+(5-3)²

BC = √(36+4)

BC = √40

BC = 6.32 units

Hence the length of BC as shown in the diagram is 6.32units

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Related Questions

Two rigid transformations are used to map TriangleJKL to TriangleMNQ. The first is a translation of vertex L to vertex Q. What is the second transformation?

a reflection across the line containing LK
a reflection across the line containing JK
a rotation about point L
a rotation about point K

Answers

Triangle JKL is mapped to Triangle MNQ by two rigid transformations. Vertex L to vertex Q translation is the first. a rotation about point L is the second transformation. Option A is correct.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

Two rigid transformations are used to map Triangle JKL to Triangle MNQ. The first is a translation of vertex L to vertex Q.

The second transformation is a rotation about point L.

Hence option A is correct.

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Answer: Option 3 or C. a rotation about point L

Step-by-step explanation:

I took the quiz and got 100% correct on Edge 2022. Trust me if you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful. Good luck everyone!  :)

In the given figure, lines AC and BD intersect each other at point E.
If ∠AEB:∠BEC = 9 : 11, find all the angles.

Answers

The value of the angle AED = 99 degree , Angle BEC is 99 degree , angle DEC = 81 degree , angle AEB is 81 degree

What is angle of a Straight Line ?

The straight line has an angle of 180 degree.

The two lines AC and BD intersects such that

∠AEB:∠BEC = 9 : 11

Let angle BEC be x

Then

Angle AEB is 9x/11

and angle AEC + BEC = 180 degree

(9x/11) + x = 180

9x +11x = 11 * 180

20x = 11 * 180

x = 99 degree

Angle BEC is 99 degree

and angle AEB is 81 degree

As Angle AED is vertically opposite to angle BEC

Therefore angle AED = 99 degree

As Angle DEC is vertically opposite to angle AEB

Therefore angle DEC = 81 degree.

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find the volume of this prism.

Answers

The volume of the prism as given with dimensions is; 840cm³.

What is the volume of the prism?

The prism given in the task content can be further subdivided to be represented by two rectangular prisms as follows;

First prism = 10cm by 6cm by 8cm.

Second prism = 5cm by 12cm by 6cm

Hence, the volume of the prism is; (10×6×8) + (5×12×6) = 840cm³.

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6.
(06.01 LC)

Choose the correct classification of 4x4 − 4x3 + 10x6. (1 point)

4th degree trinomial

12th degree trinomial

3rd degree trinomial

6th degree trinomial

Answers

the correct classification would be 16

If the events have the same theoretical probability of happening, then they are called:-

A- Mutually exclusive events
B- Mutually exhaustive events
C- Equally likely events
D- Impossible events

Answers

C- Equally likely events

Step-by-step explanation:

Equally Likely Events. Equally likely events are events that have the same theoretical probability (or likelihood) of occurring.

(。♡‿♡。)

Answer:

Equally Likely Events

Step-by-step explanation:

Which is precisely defined using the undefined terms point and plane?
O circle
O line segment
O perpendicular lines
O ray

Answers

Answer:

Option A: circle

Step-by-step explanation:

A circle is a set of points in a plane that are equidistant from a common center point.

please help me to find the answer Y=2X 3X+4Y=22 Y=2X 3X+4Y=22 ​

Answers

System of equations.

[tex]\left\{\begin{array}{ccc}y=2x&(1)\\3x+4y=22&(2)\end{array}\right[/tex]

Put (1) to (2):

[tex]3x+4(2x)=22\\3x+8x=22\\11x=22\qquad|\text{divide both sides by 11}\\\boxed{x=2}[/tex]

Substitute the value of x to (1):

[tex]y=2\cdot2\\\boxed{y=4}[/tex]

Solution:

[tex]\huge\boxed{\left\{\begin{array}{ccc}x=2\\y=4\end{array}\right}[/tex]

Please solve! And explanation!

Answers

A fraction is a way to describe a part of a whole. The value of x is 6.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The value of x can be written as,

[tex]\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{1}{\dfrac{x+1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{x}{x+1}} = \dfrac{7}{13}\\\\\\\dfrac{1}{\dfrac{x+1+x}{x+1}}= \dfrac{7}{13}\\\\\\\dfrac{x+1}{x+1+x}= \dfrac{7}{13}\\\\[/tex]

13x + 13 = 7x + 7 + 7x

13x + 13 = 14x + 7

x = 6

Hence, the value of x is 6.

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The sides of a square bedroom measure 3.5 yards. if carpet costs $16 per square yard, how much will it cost to cover the floor?if one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?

Answers

Answer:

£196 and 400cm

Step-by-step explanation:

3.5^2 = 12.25 will give the whole floor

12.25 × 16 = 196

20^2= 400cm is the front cover of the book

In the diagram, the measure of angle 6 is 98°.

A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.

What is the measure of angle 7?

Answers

The measure of angle 7 is 82°.

What is transversal line?

A transversal is defined as a line that passes through two lines in the same plane at two distinct points in the geometry

Given:

angle 6= 98°

As, angle 6 and 7 forms a linear pair then

angle 6 + angle 7 = 180

98 +  angle 7= 180

angle= 180-98

angle 7 = 82°

Hence, angle 7 is 82°.

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What is another way to label KF? What is another point that is on Line AC? Are points A and D collinear? Are points E,D, and K coplanar? (Giving 40 points)​

Answers

Coplanar points are those that are all in the same PLANE. The other point that lies on line AC is B.

What are Collinear Points and Coplanar points?

Collinear Points: Points are collinear if they are all in the same straight line.

Coplanar points: Coplanar points are those that are all in the same PLANE.

A.) Another way to label KF is F K.

B.) The other point that lies on line AC is B.

C.) Yes, Any two points can form a line, thus, A and D are colinear.

D.) Coplanar points are those points that lie in the same place. Although D and K lie on the same plane,j; the point E does not lie on the same plane. Thus, points E, D, and K are not coplanar points.

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What is the volume in cubic inches of the cylinder, rounded to the nearest cubic inch? Do not use units or commas in your answer.

Answers

Answer: You didn't give any data about the cylinder

Step-by-step explanation:

The cylinder is just an extruded circle. To calculate the cylinder's volume you need to multiply its base circle by the cylinder's height.

To do that, get the circle's radius and square it. Multiply the squared radius by 3.14.

After that, multiply the result by the cylinder's height

solve for x -3x > 12

Answers

Answer:

x < -6

Step-by-step explanation:

x -3x > 12

Combine like terms

-2x>12

Divide by -2, remembering to flip the inequality

-2x/-2 < 12/-2

x < -6

Answer:

x < -6

Step-by-step explanation:

Find the perimeter of this figure.
22 in.
17 in.
12 in.
12 in.
30 in.
40 in.
? ] = inches

Answers

Answer:

133 inches

Step-by-step explanation:

First, you need to do 22 + 17 which is 39
Next, you need to do 39 + 12 which is 51.
Next, you need to do 51 + 12 which is 63.
Next, you need to do 63 + 30 which is 93.
Lastly, you need to do 93 + 40 which is 133.

Remember This:
Perimeter is adding up all the side lengths to get your answer.


I Hope This Helped :D

Answer:

133

Step-by-step explanation:

Help! Will mark the big B for correct answer!

Answers

Answer:

The answer is A

Step-by-step explanation:

They both have a maximum of 5!

is the ratio 16: 4 equivalent to 12:3

Answers

Yes, because 16 divided by 4 is 4, and 12 divided by 3 is also 4

In a large population, 55% of the people have been vaccinated. if 5 people are randomly selected, what is
the probability that at least one of them has been vaccinated?
give your answer as a decimal to 4 places.

Answers

Using the binomial distribution, it is found that there is a 0.9815 = 98.15% probability that at least one of them has been vaccinated.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, the values of the parameters are:

n = 5, p = 0.55

The probability that at least one of them has been vaccinated is given by:

[tex]P(X \leq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.55)^{0}.(0,45)^{5} = 0.0185[/tex]

Then:

[tex]P(X \leq 1) = 1 - P(X = 0) = 1 - 0.0185 = 0.9815[/tex]

0.9815 = 98.15% probability that at least one of them has been vaccinated.

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Find the interest rate for a principal of $8635 and charged $33549 in interest for 11 years.
Round your answer to 1 decimal place.

Answers

Answer:

rate = 0.4 %

Step-by-step explanation:

Interest = principal x rate x time

33549 = 8635 x r x 11

33549 = 94985r

r = 33549/94985

r = 0.3532

r = 0.4

rate = 0.4 %

can someone help me with this question with details​

Answers

Answer:

I think the answer is 5 ( if wrong then do a low rating)

Step-by-step explanation:

The way I found the answer was by using PEDMAS so first I handled [(4 - (-5)) x (-7)] which is the same as 4 + -5 which equals -1 and when multiplied by -7 equals positive 7 because whenever you multiply 2 negatives you get a positive.

Next I solved 6 / (-3) which is -2 since whenever a positive is divided by a negative the quotient is negative. Now the equation is:

-2 + 7 and when solved is -2 + 7 = 5

Select the correct answer.
Which value of n makes the equation true?
-1/2n=-8
OA. -16
OB. - -4
OC. 4
O D. 16

Answers

ответ: д
-1/2 * 16 = -8
или 16/(-2) = -8

Answer: by rewriting equation in the form, / 1\2 16 X 4X 4 f=~1_~) (Do-2)2=g=~

Step-by-step explanation: hope this helps

W+15x-9y+2z
Terms:
Coefficients:

Answers

In the problem given:

W + 15x - 9y + 2z

The term are single mathematical expressions that separate values.

In the expression, there is a + and -; these concludes 2 terms.

There are 3 coefficients next to each variable.

The coefficients are 15x, -9y, and 2z.

That means there are 3 coefficients.

Cheers

- ROR

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex] \sf{W \rightarrow coefficient = 1} [/tex]

[tex] \sf{15x \rightarrow coefficient = 15} [/tex]

[tex] \sf{-9y\rightarrow coefficient = -9} [/tex]

[tex] \sf{2z\rightarrow coefficient = 2} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Term refers to each variable or constant separated by a mathematical operator.

Coefficient refers to the numberic part of variable or a constant number present in an expression.

[tex]\qquad \tt \rightarrow \: 12a - 10b + 6[/tex]

[tex] \large\textsf{Terms :} [/tex]

[tex] \texttt{W } [/tex]

[tex] \texttt{coefficient = 1} [/tex]

[tex] \texttt{15x} [/tex]

[tex] \texttt{coefficient = 15} [/tex]

[tex] \texttt{-9y} [/tex]

[tex] \texttt{coefficient = -9} [/tex]

[tex] \texttt{ 2z} [/tex]

[tex] \texttt{coefficient= 2} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Laurie is trying to stay within 10 feet of her current diving depth of –30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?

-30 - x = 10 and -30 - x = –10
-30 + x = 10 and -30 + x = –10
x + 10 = 30 and x + 10 = –30
x – 10 = 30 and x – 10 = –30

Answers

The equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30 so the correct answer is option C.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Diving is the art of going down to the depth of the ocean. Divers usually go deep down in the ocean to study the dynamics of ocean life.

The equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30

Therefore the equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30 so the correct answer is option C.

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Please help! Consider the function y = 9-x^2, where x ≥ 3
What is the inverse of the function? What is the domain of the inverse? Show all of your work
(hint: swap x and y in the domain as well as the function)

Answers

Using it's concept, it is found that the inverse function is [tex]y = \sqrt{9 - x}[/tex], and the domain is [tex]x \leq 9[/tex].

How to find the inverse function?

The inverse of a function y = f(x) is found exchanging x and y and isolating y. The domain of the inverse is the range of the original function f(x).

In this problem, the function is:

y = 9 - x²

Then, we exchange and isolate y, hence:

[tex]x = 9 - y^2[/tex]

[tex]y² = 9 - x[/tex]

[tex]y = \sqrt{9 - x}[/tex]

The domain is [tex]9 - x \geq 0 \rightarrow x \leq 9[/tex], as looking at the graph of y = 9 - x², the range is [tex]y \leq 9[/tex].

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Which of the following are solutions to the equation below?


4x^2 + 4x + 1 = 9


Check all that apply

Answers

Answer:

Option B and D

Step-by-step explanation:

Subtract 9 from both sides :

4x² + 4x - 8 = 0

Divide both sides by 4 :

x² + x - 2 = 0

Factorise using factorisation method :

x² - x + 2x -2 = 0

x(x - 1) +2(x-1) = 0

(x+2)(x-1) = 0

Solve for x

x +2 = 0   OR     x - 1 = 0        

x = -2       OR     x = 1

Answer will be Option B and D

Hope this helped and have a good day

Answer:

option b. –2 and d. 1 are correct.

*For detailed explanation refer to the attachment

Pls answer thissssssss

Answers

Answer:

Area of room = 21 * 16

= 336 m²

Area of Carpet = (21 - 1)* (16-1)

= 20*15

= 300

Area of border = Area of room - Area of carpet

= 336 - 300

= 36 m².

y = −x + 4
y = 3x + 3

Answers

y=3.75
x=0.25
I think

Find the value of X in the given
right triangle.
10
x= [?]°
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

You might want to give us the triangle to solve?

What is the length of side BC of the triangle?
Enter your answer in the box.

Answers

Answer:

28

Step-by-step explanation:

2x + 7 = 4x - 7

14 = 2x

x = 7

BC = 4x = 4(7) = 28

Hi, please help me find the volume of this sphere :)

Answers

Answer: 8788

Step-by-step explanation:

Use the formula and use 3 for pi

13cm is the radius

[tex]13^{3\\[/tex] = 2197

2197 x 3 = 6591

6591 x 4/3 = 8788

Solve the 2 problem s hurrryyyy

Answers

Answer:

3. n>or=0

5. n>or=0

Step-by-step explanation:

3. -1<or=2n+4-5

    =-1<or=2n-1

    =1-1<or=2n

    =0<or=2n

     =n>or=0.

5. 0<or=2n+3n

  =0<or5n

  =n>or=0

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