OM , ON and OP are the angle bisectors of ∠AOB, ∠BOC, and ∠COD respectively. ∠AOD and ∠BOE are straight angles.

Answer:

x = 60  (Answer C)

Step-by-step explanation:

Ambiguous.  I will assume that you meant:

x+4-7=1  =>  √(x + 4) - 7 = 1

This latter result simplifies to

√(x + 4) = 8

Squaring both sides, we get:  x + 4 = 64, or x = 60  (Answer C)

The value of x is 4.

Option A is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

√(x + 4 - 7) = 1

Square on both sides.

x + 4 - 7 = 1²

x + 4 - 7 = 1

Add 7 on both sides.

x + 4 = 1 + 7

x = 8

Subtract 4 on both sides.

x + 4 - 4 = 8 - 4

x = 4

Thus,

The value of x is 4.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ5

Answer:

I DUNNO

Step-by-step explanation:

Answer:

BC = 19.371

Step-by-step explanation:

Use the cosine ratio:

Cos(71°) = 6.3/BC

BC = 6.3/Cos(71°)

BC = 19.371 cm

That's it, Best Regards!

Answer: (a) Refer to picture attached

(b) Probability that randomly selected student in class 1 prefers comedies is 42%

(c) Probability that randomly selected student in class 2 prefers action movies is 29%

Step-by-step explanation: Please refer to the picture attached for the required two-way table.

For the first class, that is class 1, you need to calculate the probability that a randomly selected student prefers comedies. A probability can be expressed as follows;

P(comedies) = Number of required events / Number of possible outcomes

P(comedies) = 13/31

P(comedies) = 0.419354

Therefore the probability that a student selected randomly from Ms Peter's first class prefers comedies is 0.4193 (approximately 0.42) or 42%.

For the second class, that is class 2, you need to calculate the probability that a randomly selected student prefers action movies. The probability thus is expressed as;

P(Action) = Number of required events / Number of possible outcomes

P(Action) = 9/31

P(Action) = 0.290322

Therefore the probability that a student randomly selected from Ms Peter's second class prefers action movies is approximately 0.29 or 29%.

Jenny could technically do any of them, first or second. It doesn't matter, as long as you do the same to both sides, the two sides are still equal

Answer:

C

Step-by-step explanation:

correct on edgen i took the test

Answer:

12 Edges.

hope you rate me well

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Euler's formula for polyhedra states

F + V - E = 2

where F is faces, V is vertices and E is edges

Here F = 6, V = 8, thus

6 + 8 - E = 2, that is

14 - E = 2 ( subtract 14 from both sides )

- E = - 12 ( multiply both sides by - 1 )

E = 12 ← number of edges

Answer:

Length = 51 centimeters

Width = 19 centimeters

Step-by-step explanation:

Length = l

Width = w

Length is 3w - 6

l = 3w - 6

P = 2l + 2w

The perimeter is given, plug in the values.

140 = 2(3w - 6) + 2w

140 = 6w - 12 + 2w

140 + 12 = 8w

152 = 8w

w = 19

The width is 19cm.

l = 3w - 6

l = 3(19) - 6

l = 57-6

l = 51

The length is 51 cm.

Answer:

[tex]\boxed{\red{width = 19 cm} }\\ \boxed{\red{

length = 3x-6}} \\

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\red{= 51 cm}}

[/tex]

Step-by-step explanation:

let the width be x

Let's find the length

[tex]3x - 6[/tex]

Perimeter of a rectangle

[tex]p = 2(length + width) \\ p = 2(3x - 6 + x) \\ p = 6x - 12 + 2x \\ p = 8x - 12 \\ [/tex]

given that,

[tex]p = 140[/tex]

so,

[tex]140 = 8x - 12 \\ 140 + 12 = 8x \\ 152 = 8x \\ x = 19[/tex]

therefore,

width = 19 cm

length = 3x-6

= 51 cm

Answer:

C

Step-by-step explanation:

You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.

Answer:

C. [tex]\left \{ {{x\leq 3} \atop {x+y>2}} \right.[/tex]

Step-by-step explanation:

Well I went to Desmos and graphed them.

look at the image below

Answer:

The correct answer on EDG-2020 is:

c) ≈471 in.2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

credit to the first guy

Answer:

The surface area of the sphere is:

[tex]Surface_{sphere}=843.6\,\, in^2[/tex]

Step-by-step explanation:

Recall the two following important formulas:

[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\\\Surface_{sphere}=4\,\pi\,R^2[/tex]

where R is the radius of the sphere.

Then, since we know the sphere's volume (2304 [tex]in^3[/tex]), we can calculate the sphere's radius:

[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\2304=\frac{4}{3} \,\pi\,\,R^3\\\frac{3\,*\,2304}{4\,\pi} =R^3\\R=\sqrt[3]{\frac{6912}{4\,\pi} } \, in\\R=8.1934\,\, in[/tex]

Now, knowing the radius, we can estimate the surface of the sphere using the other formula;

[tex]Surface_{sphere}=4\,\pi\,R^2\\Surface_{sphere}=4\,\pi\,(8.1934)^2\\Surface_{sphere}=843.6\,\, in^2[/tex]

Answer:

Step-by-step explanation:

As shown in the diagram.

The fly will be 16 feet wide i.e BC = 16 feet

thus BD = DC = 8 feet

By pythagorus theorem

Hypotenuse²=  Height ²+ Base²

in ΔABD

AD = 12 feet

BD = 8 feet

put these value in the  equation

AB ²= AD² + BD²

AB²=  12²+ 8²

AB² = 144 + 64

AB² =  208

AB = 14.42 feet

The minimum length of the slanted poles needed to support the fly is 14.42 feet.

Answer:

the following model the membership cost is p=250+42m

Answer:

Original Coordinates: (-4, 5)

Step-by-step explanation:

We simply take the opposite directions to find our original coordinates.

Step 1: Translate 3 units down

(-4, -2) --> (-4, -5)

Step 2: Reflect over x-axis

(-4, -5) --> (-4, 5)

Answer:

√208

Step-by-step explanation:

Step 1: Convert 4 to √

4² = 16

4 = √16

Step 2: Multiply radicals

√16(√13) = √208

Answer:

[tex]\sqrt{208}[/tex]

Step-by-step explanation:

Getting this answer can simply be achieved by process of elimination. I started dividing [tex]\sqrt{208}[/tex] by numbers that I knew had perfect squares, and eventually I found 16.

      [tex]\sqrt{208}[/tex]

          /\

    [tex]\sqrt{16}[/tex] [tex]\sqrt{13}[/tex]

      [tex]4\sqrt{13}[/tex]

As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.

Answer:

y

=

−

41

−

√

3165

2

,

−

41

+

√

3165

2

Decimal Form:

y

=

7.62916635

…

,

−

48.62916635

…

Step-by-step explanation:

Answer:

40 cups of sugar

Step-by-step explanation:

10 cups = 3 eggs

x cups = 12 eggs( a dozen )

12*10 =3x

120=3x

120/3=40

Answer:

40 cups of sugar

Step-by-step explanation:

All you have to do is divide the dozen eggs by 3 which will give you 4 and then after you multiply the 4 by the 10 cups of sugar to give you 40 cups of sugar.

Answer:

44

Step-by-step explanation:

MRQ=136

In a straight line there is 180 degrees

180-136=44

MRS=44 degrees

alternates angle is a z shape so NMRS is one

So you then RMP is 44 degrees.

Hope it helps just tryed

Answer:

the first three options

Step-by-step explanation:

they all have shared points

Answer:

~101.5 (area of the shaded area in upper figure)

and

~54.4 (area of the shaded area in lower figure)

Step-by-step explanation:

I attached an image for clarification (please see).

The same approach can be applied to solve these two problems.

As seen in attached image, the shaded area of the 1st figure is the sum of the area of a regular triangle and 3 equal portions.

The area of the regular triangle with side = 12 is:

A1 = side^2 x sqrt(3)/4 = 12^2 x sqrt(3)/4 = 36sqrt(3)

The area of the regular triangle + the area of a portion is:

A2 = pi x radius^2 x (pi/3)/(2pi) = pi x 12^2 x (1/6) = 24pi

=> The area of a porition is:

A3 = A2 - A1 = 24pi - 36sqrt(3)

=> Area of the shade area:

A4 = A1 + 3 x A3 = 36sqrt(3) + 3 x (24pi - 36sqrt(3)) =  ~101.5

**************************

For the second figure, the shaded area could be divided into 6 equal parts, each part is inside a regular triangle and is calculated by:

A = the area of the regular triangle - the area of 2 equal portions (white color).

The area of the regular triangle with side = 6 is:

A1 = side^2 x sqrt(3)/4 = 6^2 x sqrt(3)/4 = 9sqrt(3)

The area of the regular triangle + the area of a portion is:

A2 = pi x radius^2 x (pi/3)/(2pi) = pi x 6^2 x (1/6) = 6pi

=> The area of a porition is:

A3 = A2 - A1 = 6pi - 9sqrt(3)

=> Area of a part (including the regular triangle and excluding 2 equal portions):

A4 = A1 - 2 x A3 = 9sqrt(3) - 2 x (6pi - 9sqrt(3))

=> Area of shaded area:

A5 = 6 x A4 = 6 x [9sqrt(3) - 2 x (6pi - 9sqrt(3)) ] =~54.4

Answer: C. 90ᴼ

Step-by-step explanation:

This is an equilateral triangle because all three sides are congruent. Equilateral triangles also have 3 congruent angles.

The sum of each angle of a triangle equals 180ᴼ and there are 3 congruent angles.

180 / 3 = 60

Each angle measures 60ᴼ

Answer:

[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]

Step-by-step explanation:

Given that there is a collection of nickels and quarters.

Let N be the number of coins of nickels and

Q be the number of coins of quarters.

It is given that total number of coins are 32.

Number of coins of nickels + Number of coins of quarters = 32

[tex]\therefore \bold{N+Q=32}[/tex] is the first equation.

Now, we know that value of a one quarter coin is 25 cents or [tex]\$\frac{25}{100} = \$0.25[/tex]

and value of a one nickel coin = 5 cents = $0.05

Total value of all nickel coins = Number of nickel coins [tex]\times[/tex] value of one nickel coin = [tex].05N[/tex]

Similarly,

Total value of all quarter coins = Number of quarter coins [tex]\times[/tex] value of one quarter coin = [tex].25Q[/tex]

Total value of coins is 3 dollars.

[tex]\therefore \bold{.05N + .25Q = 3.00}[/tex] is the second equation.

So, the answer is:

[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]

Answer:

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Step-by-step explanation:

The volume of the sphere ([tex]V[/tex]), measured in cubic feet, is represented by the following formula:

[tex]V = \frac{4\pi}{3}\cdot r^{3}[/tex]

Where [tex]r[/tex] is the radius of the sphere, measured in feet.

The change in volume is obtained by means of definition of total difference:

[tex]\Delta V = \frac{\partial V}{\partial r}\Delta r[/tex]

The derivative of the volume as a function of radius is:

[tex]\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}[/tex]

Then, the change in volume is expanded:

[tex]\Delta V = 4\pi \cdot r^{2}\cdot \Delta r[/tex]

If [tex]r = 40\,ft[/tex] and [tex]\Delta r = 40\,ft-40.05\,ft = 0.05\,ft[/tex], the change in the volume of the sphere is approximately:

[tex]\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)[/tex]

[tex]\Delta V \approx 1005.310\,ft^{3}[/tex]

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Answer:

  16, 18, 20

Step-by-step explanation:

We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...

  √(980/3) ≈ 18.09

The integers are 16, 18, 20.

_____

Check

  16^2 +18^2 +20^2 = 256 +324 +400 = 980

Answer:

16, 18, 20

Step-by-step explanation:

Let the three consecutive even integers be (x - 2), x, (x + 2)

[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]

Hence, three consecutive even integers are : 16, 18, 20.

Answer:

1

Step-by-step explanation:

Change 1/2 to 0.5 and then do 0.75-0.25+0.5.

Answer:

1

Step-by-step explanation:

0.75-0.25+1/2

=0.50+0.5

=0.5+0.5

=1

Answer:

No because cuboid a is smaller than cuboid b

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

They do not have the same surface area. My calculations as to how I know: A = 2x2x2+3x2x2+3x2x2= 4x2+6x2+6x2= 8+12+12= 20+12= 30cm B = 1x3x2 + 1x4x2 + 3x4x2= 3x2 + 4x2 + 12x2= 6+8+24 14+24= 38cm

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

[tex]Area = 51\:unit^2[/tex]

Step-by-step explanation:

[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}\quad and \quad p=\frac{a+b+c}{2}[/tex]

Find the distance between three points.

[tex]\overline{AB}=\sqrt{\left(-4-\left(-5\right)\right)^2+\left(-5-7\right)^2}=12\\\\\overline{BC}=\sqrt{\left(4-\left(-4\right)\right)^2+\left(5-\left(-5\right)\right)^2}=12.8\\\\\overline{AC}=\sqrt{\left(4-\left(-5\right)\right)^2+\left(5-7\right)^2}=9.2[/tex]

[tex]p=\frac{12+12.5+9.2}{2}=16.9[/tex]

[tex]Area = \sqrt{16.9\left(16.9-12\right)\left(16.9-12.8\right)\left(16.9-9.2\right)}\\\\=51\:unit^2[/tex]

Best Regards!

Answer:

solution,

A(-5,7)--->(X1,y1)

B(-4,-5)-->(x2,y2)

C(4,5)--->(X3,y3)

Now,

Area of triangle:

[tex] \frac{1}{2} (x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2) \\ = \frac{1}{2} ( - 5( - 5 - 5) + ( - 4)(5 - 7) + 4(7 - ( - 5) \\ = \frac{1}{2} ( - 5 \times ( - 10) + ( - 4) \times ( - 2) + 4 \times 12) \\ = \frac{1}{2} (50 + 8 + 48) \\ = \frac{1}{2} \times 106 \\ = \frac{106}{2} \\ = 53[/tex]

hope this helps...

Good luck on your assignment..

Answer:

last one

Step-by-step explanation:

All atoms of the same element will always have the same atomic number and since atomic number indicates the amount of protons in its nucleus the answer is "have the same number of protons).

Answer: The last one

Step-by-step explanation:

All atoms have to have the same number of electrons or else they are not classified as that element.

Answer:

Answer is C. 0.58

Step-by-step explanation:

22/38 = 0.57 something rounded to 58

Answer:

A. (1, 4)

Step-by-step explanation:

The solution to the systems of inequalities has to be in the shaded region. Therefore, A is the correct answer.

Answer: Its the FIRST option .

Step-by-step explanation: Please mark as Brainliest. :)