In ΔMNO, o = 63 cm, n = 23 cm and ∠N=30°. Find all possible values of ∠O, to the nearest degree.

Answer:

[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]

Step-by-step explanation:

Given

[tex]Children = 3[/tex]

Required

List all cases of having at least 1 girl

We have:

[tex]B = Boy[/tex]

[tex]G = Girl[/tex]

For 1 girl, we have:

GBB; BGB; BBG

For 2 girls, we have:

GGB; BGG; GBG

For 3 girls, we have:

GGG

Hence, the list is:

[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]

Opposite angles inscribed in a cyclic quadrilateral are supplementary, so:

[tex]m\angle R+m\angle T=180^{\circ}\\\\m\angle R+47^{\circ}=180^{\circ}\\\\m\angle R=\boxed{133^{\circ}}[/tex]

Answer:

You can easily rule out A and D, and the mean is 39 which essentially makes B irrelevant. The answer is C.

Answer:

7.75

Step-by-step explanation:

Remember, 1 ounce equals 0.0625 pounds.

Multiply 124 x 0.0625 to get you answer.

Hope this helps,If you have any questions revolving around this topic,feel free to ask me,Good luck!

Answer:

4/8

Step-by-step explanation:

7/8 - 3/8 = 4/8

Answer:

C - 15

Step-by-step explanation:

"Decreased by" means subtraction. We are subtracting 15 from C so the answer is C - 15. Hope this helpssss

Step-by-step explanation:

a. The random variable is a binomial distribution.

b. the sample space, X = {0, 1, 2, 3, 4, 5}

the pmf

we solve for this using

nCx * P^x * (1-p)^n-x

n = 5

p = 0.3

for x = 0

5C0 * 0.3⁰(1-0.3)^5-0

= 1 * 1* 0.7⁵

= 0.16807

for x = 1

5C1*0.3¹(1-0.3)^5-1

= 5*0.3(0.7)⁴

= 5x0.3x0.2401

= 0.36015

for x = 2

5C2 * 0.3² * (1-0.3) ^5-2

= 0.30870

for x = 3

5C3 * 0.3³ * (1-0.3) ^ 5-3

= 10 * 0.027 * 0.7²

= 0.1323

for x = 4

5C4 * 0.3⁴ (1-0.3) ^ 5-4

= 5 * 0.0081 * 0.7

= 0.02835

for x = 5

5C5 *0.3⁵ (1- 0.3) ^5-5

= 1*0.00243*0,7⁰

= 0.00243

c. E[X] = N*p = 5*0.3 = 1.5

var[X] = np(1-p) = 5*0.3*0.7 = 1.05

d. 20/9 = 2.222

so we have that if x is greater than or equal to 3, cost will exceed 20

p(x=3) + p(x=4) + p(x=5)

= 0.1323 + 0.02835 + 0.00243

probability = 0.16308

E[C] = 1.5 * 9 = 13.5

VAR[C] = 1.05 * 9 = 9.45

Answer:

A

Step-by-step explanation:

Source:

Trust me bro

The theorem used to prove the three triangles are similar is the ASA similarity theorem. The correct option is A.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and the side included between the angles of the second triangle.

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Answer:

It would be B. 815.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

On edge

Answer:

By the end of the week she will have 254 pennies and she will put 128 pennies for the last day

The required median number of spots on giraffes in the Curran plains is 203.

A data set's median value is the place where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it. To organize the data points in increasing order for a small data set, count the number of data points (n).

To find the median, we need to first sort the data points in ascending order:

174, 185, 194, 197, 203, 221, 226, 231, 236

Since there are an odd number of data points, the median is the middle value, which in this case is 203.

Therefore, the median number of spots on giraffes in the Curran plains is 203

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Answer:

it will take 3 hour to paint the wall

Answer:

3 hours

Step-by-step explanation:

because  we know that 2 x 3 = 6 and 4 x 3 = 12 basically your finding the median. if the number of values is an even number, the median will be the average of the two middle numbers

Sentence: It will take 3 hours for 4 workers to paint the same wall.

Answer:

2/3 serving

Step-by-step explanation:

(1/2)/(3/4) = 1/2 x 4/3 = 4/6 = 2/3 serving

Answer:

-6, -5, -4, -3, and -2

n≥-6

Step-by-step explanation:

Multiply both sides by 2

n≥-6

so the values that make this true are -6, -5, -4, -3, and -2

Answer :-

a = 5p

Option 3 from 1st column and option 2 from 2nd column

Answer:

Step-by-step explanation:

The Letter pi (π) = 3.14

The radius (r) = the diameter / 2

The diameter = 8

the radius (r)= d/2 = 8/2 = 4

The Area = 3.14 * 4*4

But they tell you to use 3 and not 3.14.

So the area = 3 * 4 * 4

The area = 48

By the way, if you are interested, the Bible uses 3 for π and not 3.14

Answer:

4 pints

Step-by-step explanation:

Well to figure this one out we need the surface area of the cylinder

The formula is :  SA=2πrh+2πr^2

Don't worry about memorizing most of these formula's except the basic ones  for Surface area and Volume in a test the formula's will be given but I do recommend practicing them

Any way lets keep going

Depth of 5ft basically means 5ft in height (to let you know)

2*pi*3*5+2*pi*3^2

SA=150.796447372 ft^2  rounded is basically 151

any way we know one pint paints 50 ft^2

so  151/50 is 3 remainder 1 so you will need 4 pints except you will barley use 1 pint

Answer:

D

Step-by-step explanation:

Answer:

the structure or conditions of economic life in a country, area, or period also : an economic system.

Step-by-step explanation:

Answer:

44 yards

Step-by-step explanation:

Formula :

divide the length value by 3

Find x.

2x/2=x 6/2=3

x=3

Answer:

x=3

Step-by-step explanation:

you have to leave the x alone you do divide so it will be like this x=6/2 since you can reduse them it will be x=3

Answer:

y = 1/4(x)

Step-by-step explanation:

Given the equation:

x 24 32 40 48

y 6 8 10 12

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

Slope = (12 - 6) / (48 - 24)

Slope = 6 / 24

Slope = 1 / 4

The slope intercept relation is expressed thus :

y = mx + c

m = slope ; c = intercept

Picking a point :

x = 32, y = 8

8 = 1/4(32) + c

8 = 8 + c

c = 0

Hence, the fit pattern for the equation is :

y = 1/4(x)

Answer:

10/4=20

Step-by-step explanation:

x=50

Step-by-step explanation:

10/4=x/20

this will give you x=50

Answer:

Step-by-step explanation:

(x + 2)^2 + (y -1 )^2 = 3^2

(x + 2)^2 + (y -1)^2 = 9

I have used Desmos to draw this for you. Notice that the center is not (2, -1) but is at -2,1 just as the question requested. The signs are always reversed when the center of a circle must be obtained by squaring the numbers in parenthesis.

Further two points are shown. The one you should pay attention to is (-2,4) which is 3 units away from the center. The other point is also 3 units away, but you have to use the distance formula which you may not be familiar with. If you measure it with a ruler, you will find it is the same distance away from the center as (-2,4) is Since they are equal, they both must represent the length of the radius.

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]

Answer:

can we go with D. 54 ?

the height and length is 9 and 6

9x6= 54

Answer:

B . 27 square units

Step-by-step explanation:

Area of triangle is 1/2 ×b×h

base is MN = 6 units

hight is 9 unis

so 1/2 ×6×9 = 3×9 =27 square Units

Answer:

7 X 5

You use multiplacation to find the total number of blocks

9514 1404 393

Answer:

  (x, y) = (31/37, 2 36/37) ≈ (0.8378, 2.9730)

Step-by-step explanation:

There are several ways we can go at this.

Method 1

Find the point of intersection with the perpendicular line through (-5, 2).

The perpendicular line will have the x- and y-coefficients swapped, one of them negated, and a new constant consistent with the given point.

  x -6y = (-5) -6(2) = -17

So, we're looking for the solution of the system of equations ...

Using Cramer's Rule, we can find the solution to be ...

  x = ((1)(-17) -(-6)(8))/((1)(1) -(-6)(6)) = 31/37 ≈ 0.837_837*

  y = ((8)(1)-(-17)(6))/37 = 110/37 ≈ 2.972_972

The closest point is (x, y) = (31/37, 2 36/37).

__

Method 2

We can write the given line in parametric form, then find the point on it such that the direction along the line is perpendicular to the direction to the given point.

Solving the given equation for y, we have ...

  y = 8 -6x

So, the parametric form of the given line can be written as ...

  (x, y) = (0, 8) +t(1, -6) . . . . for some parameter t

The direction to the given point from (x, y) is then ...

  (-5, 2) -(x, y) = (-5, 2) -((0, 8) +t(1, -6)) = (-5-0-t, 2-8+6t) = (-t-5, 6t-6)

The dot-product of this direction vector with the direction vector of the original line will be zero for the value of the parameter at the closest point.

  (1, -6) · (-t-5, 6t-6) = 0 = (1)(-t -5) +(-6)(6t -6)

  0 = -t -5 -36t +36 = -37t +31

  31/37 = t

So, filling this value into the parametric equation gives the closest point as ...

  (0, 8) +(31/37)(1, -6) = (31/37, 2 36/37) = (x, y)

__

Method 3

Find the point of tangency of the given line with a circle centered at (-5, 2).

The equation of a circle centered at (-5, 2) is ...

  (x +5)^2 +(y -2)^2 = r^2

The given line will meet the circle at a point that satisfies this equation and the equation of the circle. Writing an expression for y using the given line, we can substitute into the circle equation to get ...

  (x +5)^ +((8 -6x) -2)^2 = r^2

  x^2 +10x +25 +36 -72x +36x^2 = r^2

  37x^2 -62x + (some constant) = 0

This will have one solution when the constant is chosen to make the left-side expression a perfect square. That perfect square will be ...

  37(x -31/37)^2 = 0

which is to say the tangent point of the line and the circle will have x-coordinate x = 31/37. The y-coordinate is 8 -6(31/37) = 2 36/37.

The closest point is (x, y) = (31/37, 2 36/37).

_____

* repeated decimal fractions are signified in typeset text with an overbar over the repeating digits. In plain text, we sometimes use a preceding underscore to identify the repeating digits.

Answer:

B

Step-by-step explanation:

10x3= 30

because kim spends 10 min washing her car, and Denzel spends 3 x as a many washing his car.

so you do 10 x 3 = 30

The equation that represents the time Denzel spends is d = 10×3.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Kim spends 10 minutes washing her car and Denzel spends 3 times as many minutes (d) washing his car as Kim spends.

∴ The equation that represents the time Denzel spends is d = 10×3.

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