Click the trashcan to clear all your answers. A pyramid has a regular hexagonal base with side lengths of 4 and L. A. =a slant height of 6. Find the total area of the pyramid.

Answer:

[tex]\frac{19}{4}=Rs 1[/tex]

[tex]Rs. 1 = 100 paise[/tex]

[tex]\frac{19}{4}=100 paise[/tex]

[tex]4.75=100 paise[/tex]

[tex]\frac{4.75}{100}=paise[/tex]

[tex]0.0475=paise[/tex]

i hope this will help you :)

=1,075

Therefore,

\frac{43}{4} =1,075

Hope it helps you!!!

Plz Mark me as a brailiest

Step-by-step explanation:

Answer:

192 m^2.

Step-by-step explanation:

We can split this up into 3 rectangles:

Area of the bottom rectangle = 27 * (9-3)

= 27 * 6 = 162 m^2.

Area of rectangle on the left = (18-6)*2

= 24 m^2

Area of small rectangle on the right = 3*2

= 6 m^2

Total area = 162+24+6

192 m^2.

Answer:

1

Step-by-step explanation:

We will use polynomial remainder theorem or little Bézout's theorem. It states that reminder p(x) divided by (x - a) is p(a). In our case (a = 3) it is p(3) = 1

Answer:

Radius = 6.5cm

Diameter = 13cm

Step-by-step explanation:

The diameter is given (13)

Radius is half the diameter (13/2=6.5)

Answer:

Explanation

The straight line is drawn from the centre of a circle to a point on its circumference is called radius of the circle. The radius of a circle is half of its diameter.

The chord that passes through the centre of a circle is called diameter of circle. Diameter is also called the largest chord of any circle. The length of diameter of a circle is two times it's radius.

Hope this helps...

Good luck on your assignment...

hope it helps uh.......

Answer:

2. 113.0 yd²

Step-by-step explanation:

Circumference Formula: C = 2πr

Area of a Circle Formula: A = πr²

Since we are given circumference, simply plug it in to find radius r:

Step 1: Find r

37.68 = 2πr

r = 37.68/2π

r = 5.99696

Step 2: Find area

A = π(5.99696)²

A = 112.983

Answer:

[tex]\frac{dA}{dt} = 7200\pi t[/tex]

a) [tex]\frac{dA}{dt} = 7200\pi\ cm^2/s[/tex]

b) [tex]\frac{dA}{dt} = 21600\pi\ cm^2/s[/tex]

c) [tex]\frac{dA}{dt} = 36000\pi\ cm^2/s[/tex]

We can conclude that the area of the circle increases faster when the time increases.

Step-by-step explanation:

First let's write the equation for the area of the circle:

[tex]A = \pi*r^2[/tex]

The rate that the radius of the circle increases is 60 cm/s, so we have:

[tex]\frac{dr}{dt} = 60[/tex]

[tex]dr = 60dt \rightarrow r = 60t[/tex]

To find the rate that the area increases, let's take the derivative of the equation of the area in relation to time:

[tex]\frac{dA}{dt} = \pi*\frac{d}{dt} r^2[/tex]

[tex]\frac{dA}{dt} = \pi *\frac{dr^2}{dr} \frac{dr}{dt}[/tex]

[tex]\frac{dA}{dt} = \pi *2r *\frac{dr}{dt}[/tex]

[tex]\frac{dA}{dt} = 2\pi *(60t) *60[/tex]

[tex]\frac{dA}{dt} = 7200\pi t[/tex]

a)

Using t = 1, we have:

[tex]\frac{dA}{dt} = 7200\pi *1 = 7200\pi\ cm^2/s[/tex]

b)

Using t = 3, we have:

[tex]\frac{dA}{dt} = 7200\pi *3 = 21600\pi\ cm^2/s[/tex]

c)

Using t = 5, we have:

[tex]\frac{dA}{dt} = 7200\pi *5= 36000\pi\ cm^2/s[/tex]

We can conclude that the area of the circle increases faster when the time increases.

Answer:

  B. II

Step-by-step explanation:

G is in quadrant IV. The quadrant that is across the origin from that is quadrant II.

  G' will lie in quadrant II

Answer:

B. 11

Step-by-step explanation:

Answer:

9 pounds of deluxe

42 pounds of regular

Step-by-step explanation:

given data

Deluxe coffee mix with regular coffee = 51

mix contains deluxe coffee = 9 pounds

Deluxe coffee costs ​$5

regular coffee costr = ​$3

solution

we consider here

deluxe coffee = x lbs

regular coffee = y lbs

and

x+ y ≥ 52

and mixture contains at least 9 pounds of deluxe coffee

so  x ≥ 9

and

cost equation will be

cost C = 5x + 3 y

deluxe costs more than regular

and here we want to use as possible as to minimize the cost

so least amount

x + y = 51

x  = 9

y = 51 - 9

y = 42

Answer: 0.25

Step-by-step explanation:

The data we have is:

Slacks: one brown, one black.

Sweaters: one tan, one red, one white.

Shirts: one white, one gray.

If the clothes are selected at random, then the probability that Julie will wear brown slacks is equal to the number of brown slacks, divided the total number of slacks.

We have 1 brown slack and 2 slacks in total, so the probability is:

p1 = 1/2 = 0.5

We do the same for the white shirt, we have 2 shirts and one is white, so the probability is:

p2 = 1/2 = 0.5

And we do not have any condition in the sweater, so we can ignore that selection.

Then the probability of both events happening at the same time (that Julie will wear brown slacks and a white shirt) is equal to the product of the individual probabilities: P = p1*p2 = 0.5*0.5 = 0.25

Answer:

Step-by-step explanation:

[tex]A=\begin{bmatrix}0 &0 &5 \\ 0 &0 &-3 \\ 0 &0 &3 \end{bmatrix}[/tex]

[tex]B=\begin{bmatrix}8 &-12 &5 \\ 7 &19 &5 \\ 0 &0 &0 \end{bmatrix}[/tex]

A.B = A × B

[tex]A.B=\begin{bmatrix}0 &0 &0 \\ 0 &0 &0 \\ 0 &0 &0 \end{bmatrix}[/tex]

Dimension of the resultant matrix is (3 × 3)

First, you need to get their square roots.

4:7

Next, you need to get the cube of their square roots so,

4^3:7^3

The answer is

64:343

Answer:

32.5861

Step-by-step explanation:

I interpreted it this way:

20 - stop at n = 20 (inclusive)

1 - start at n = 1

4(8/9)^(n - 1) - geometric expression

Answer:

Yes altitudes are shown.

Two altitudes can be there depending upon the choice of base and altitude of triangle.

Step-by-step explanation:

First of all, let us have a look at the definition of an altitude in a triangle.

Altitude of any triangle is the perpendicular dropped (making a right angle with the side) on any side opposite to a vertex of triangle.

Here, in the given [tex]\triangle ABC[/tex], we can see that the [tex]\angle B[/tex] is right angle.

i.e. Altitudes are shown here.

Generalization about right triangles:

There can be two choices of altitudes in a right angled triangle depending upon the choice of base.

In the given triangle [tex]\angle B[/tex] is right angle.

If we choose AB as the base of triangle, the vertex opposite to AB is C.

The side BC is at right angle to AB i.e. perpendicular dropped from vertex C to side AB. Therefore BC is the altitude.

Now, If we choose BC as the base of triangle, the vertex opposite to BC is A.

The side AB is at right angle to CD i.e. perpendicular dropped from vertex A to side BC. Therefore AB is the altitude.

Answer:

Step-by-step explanation:

The second is correct

f(x) <0 on ( _ infinit, -2.7) and ( -1, 0.8)

Answer:

g=3

Step-by-step explanation:

f(g) = g^2 +3g

Let f(g) = 18

18 =  g^2 +3g

Subtract 18 from each side

18-18 =g^2 +3g-18

0 = g^2 +3g-18

Factor

0 = (g+6) (g-3)

Using the zero product property

g+6 =0    g-3 =0

g = -6      g =3

The only solution listed is g=3

Answer:

resultant = 0.356N 202.1°

Step-by-step explanation:

Resultant force = √((x component)² + (y component)²)

X component= 1 cos 90 + 2 cos 30 + 3 cos 30 -4 cos 0

X component = 0 + 1.732 + 2.598 - 4

X component = 0.33

Y component = 1 sin 90 + 2 sin 60 -3sin 60 + 3 sin 0

Y component= 1+1.732-2.598

Y component= 0.134

Resultant = √( (0.33)² +(0.134)²)

Resultant= √(0.1089+0.017956)

Resultant= √ 0.126856

Resultant= 0.3562 N

Tan tita = 0.134/0.33

Tan tita = 0.406

Tita = 22.1°

Tab is positive In the third quadrant and first quadrant but the magnitude of the force lies mainly on the third so resultant = 0.356N 202.1°

For the fifth force.

X component =- 0.356 cos 67.9 +x

X component= -0.134 +x

Y component = 0.356sin22.1 +0

Y component= 0.1334

Tan tita = 0.1334/(-0.134+x)

Tita = tan^-1 0.1334/(-0.134+x)

90 = 0.1334/(-0.134+x)

Tan 90 is undefined so no more solution

Answer:

4

Step-by-step explanation:

Since there are 4 columns of x and y values the answer is 4.

Answer:

How many points should appear in Kelsey’s graph   Option B

(B) 4

Step-by-step explanation:

Answer:

  35.98

Step-by-step explanation:

Fill in the numbers and do the arithmetic.

  y = a + bx . . . . . . a=4.95, b=0.29, x=107

  y = 4.95 + 0.29(107) = 35.98

The predicted price is 35.98.

Answer:

a) Fill in the spaces

The probability of the event "have a Bachelor's Degree" is affected by the occurrence of the event "never married", and the probability of the event "never married" is affected by the occurrence of the event "have a Bachelor's Degree", so the events are not independent.

b) Probability of a woman aged 25 or older having a bachelor's degree and having never married = P(B n NM) = 0.0369

This probability is the probability of the intersect of the two events, 'have bachelor's degree' and 'have never married' for women aged 25 or older.

Step-by-step explanation:

Complete Question

According to a government statistics department, 20.6% of women in a country aged 25 years or older have a Bachelor's Degree; 16.6% of women in the country aged 25 years or older have never married; among women in the country aged 25 years or older who have never married, 22.2% have a Bachelor's Degree; and among women in the country aged 25 years or older who have a Bachelor's Degree, 17.9% have never married. Complete parts a) and (b) below.

(a) Are the events "have a Bachelor's Degree" and "never married"? independent? Explain.

(b) Suppose a woman in the country aged 25 years or older is randomly selected. What is the probability she has a Bachelor's Degree and has never married? Interpret this probability.

Solution

The probability of the event that a woman aged 25 or older has a bachelor's degree = P(B) = 20.6% = 0.206

The probability of the event that a woman aged 25 or older has never married = P(NM) = 16.6% = 0.166

Among women in the country aged 25 years or older who have never married, 22.2% have a Bachelor's Degree.

This means that the probability of having a bachelor's degree given that a woman aged 25 or older have never married is 22.2%.

P(B|NM) = 22.2% = 0.222

And among women in the country aged 25 years or older who have a Bachelor's Degree, 17.9% have never married

This means that the probability of having never married given that a woman aged 25 or older has bachelor's degree is 22.2

P(NM|B) = 17.9% = 0.179

a) To investigate if the two events 'have a bachelor's degree' and 'have never married' are independent for women aged 25 or older.

Two events are said to be independent if the probability of one of them occurring does not depend on the probability of the other occurring. Two events A and B can be proven mathematically to be independent if

P(A|B) = P(A) or P(B|A) = P(B)

For the two events in question,

P(B) = 0.206

P(NM) = 0.166

P(B|NM) = 0.222

P(NM|B) = 0.179

It is evident that

P(B) = 0.206 ≠ 0.222 = P(B|NM)

P(NM) = 0.166 ≠ 0.179 = P(NM|B)

Since the probabilities of the two events do not satisfy the conditions for them to be independent, the two events are not independent.

b) Probability of a woman aged 25 or older having a bachelor's degree and having never married = P(B n NM)

The conditional probability, P(A|B), is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

P(A n B) = P(A|B) × P(B)

or

= P(B|A) × P(A)

Hence,

P(B n NM) = P(NM n B) = P(B|NM) × P(NM) = P(NM|B) × P(B)

P(B|NM) × P(NM) = 0.222 × 0.166 = 0.036852 = 0.0369

P(NM|B) × P(B) = 0.179 × 0.206 = 0.036874 = 0.0369

Hope this Helps!!!

Answer:

Option D

Step-by-step explanation:

Let's choose a point A to understand the transformations given in the picture attached,

Coordinates of A → (2, -1)

Coordinates of image A' → (-2, 4)

From these coordinates of A and A' we can calculate the vertical shift of point A = [4 - (-1)] = 5 units

Rule used for the translation,

(x, y) → (x, y + 5)

A(2, -1) → A"(2, 4)

Followed by the reflection across y - axis,

Rule for the reflection of a point across y-axis,

(x, y) → (-x, y)

By this rule, A"(2, 4) → A'(-2, 4)

Therefore, There is a translation of 5 units upwards and reflection across y-axis.

Option D will be the answer.

Answer:

c. dividing is the inverse of multiplying because it doesn't really relate the equation like the others do.

Answer:

2 ft/s

Step-by-step explanation:

The lamppost is 24 ft. tall, and the man is 6 ft. tall. So, we will use a proportion to find the shadow.

Let s is the length of the base of the lamppost to the shadow while x is the length of the base of the lamppost to the man, so the length of the shadow is s - x.

Using triangular ratio, we have;

24/6 = s/(s - x)

4 = s/(s - x)

We cross multiply and distribute to get;

4s - 4x = s

4s - s = 4x

3s = 4x

s = 4x/3

Taking the derivative of both sides according to time, we have;

ds/dt = (4/3)dx/dt

Now, dx/dt is given as 6 ft/s

So;

ds/dt = (4/3) × 6

ds/dt = 8 ft/s

For us to find the rate of length of the shadow according to time, we recall that the shadow = s - x, so we will just take the derivative of each and subtract. Thus;

d(s - x)/dt = ds/dt - dx/dt

Plugging in the relevant values, we have;

ds/dt - dx/dt = 8 - 6 = 2 ft/s

Answer:

x = 5/2

x = 2 1/2

x = 2.5

Step-by-step explanation:

3x - 1 - (x + 3) = 1

3x - 1 - x - 3 = 1

2x - 1 - 3 = 1

2x - 4 = 1

2x = 1 + 4

2x + 5

2x = 5

x = 5/2 → 2 1/2 → 2.5 ( can be written in any of these forms depending on what you need to do)

Hope this helped! :)

Answer:

Step-by-step explanation:

3x−1−(x+3)=1

First remove the bracket

That's

3x - 1 - x - 3 = 1

Group the constants at the right side of the equation

That's

3x - x = 1 + 1 + 3

Simplify

We have

2x = 5

Divide both sides by 2

That's

2x / 2 = 5/2

Hope this helps you

Answer:

3,717,000

Step-by-step explanation:

The calculation of paperback copies is shown below:-

Let us assume hardback copies is x, so paperback copies will be 9x

now the equation is

35,000 + x + 9x = 448,000

10x = 448,000 - 35,000

10x = 413,000

[tex]= \frac{413,000}{10}[/tex]

= 41,300

Therefore, the paperback copies are

=  [tex]9\times 41,300[/tex]

= 3,717,000

Hence, the paperback copies is 3,717,000

Answer:

The LCM of 5, 4, and 10 is 20 so we can rewrite this expression as:

8/20 + 5/20 + 14/20 = (8 + 5 + 14) / 20 = 27 / 20 = [tex]1\frac{7}{20}[/tex]

Adding all the three fractions ,

Simplest form is

[tex]1\frac{7}{20}[/tex]

Given :

[tex]\frac{2}{5}+\frac{1}{4} +\frac{7}{10}[/tex]

Step-by-step explanation:

To add all the fractions , the denominators should be same

Lets find out LCD of 5,4  and 10

[tex]5= 1,5\\4=2,2\\10=5,2\\LCD=5\cdot 2\cdot 2=20[/tex]

Least common denominator = 20

Multiply the first fraction by 4  and second fraction by5  and third fraction by 2 to get same LCD 20

[tex]\frac{2}{5}+\frac{1}{4}+\frac{7}{10}\\\frac{8}{20}+\frac{5}{20}+\frac{14}{20}\\\\\frac{8+5+14}{20}\\\frac{27}{20}[/tex]

We cannot simplify the fraction further . So we write it in mixed form

[tex]1\frac{7}{20}[/tex]

Learn more :  brainly.com/question/22881654

Answer:

$6,200.

Step-by-step explanation:

Using the Simple Interest Formula, you can calculate how much interest you can get after 6 years.

Interest = 5000 * 0.04 * 6 = 5000 * 0.24 = 1,200

The total interest that you can gain from those 6 years is $1,200.

Add your $5,000 initial deposit, and you will have $6,200 in 6 years.

Hope this helps!

The balance will be $6,200 in 6 years.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

If you deposit $5,000 into an account that pays 4% simple interest per year.

Here, Principal (P) = $5,000 ,

Rate of Interest in % per annum( R )= 4%, and

Time (T ) = 6 years

Using the Simple Interest Formula, you can calculate how much interest you can get after 6 years.

Simple interest = P × R × T

Simple interest = 5000 × 0.04 × 6

Simple interest = 5000 × 0.24

Simple interest = 1,200

You can earn $1,200 in interest over the duration of those six years.

Now you add a $5,000 Principal amount, and you will have $6,200 in 6 years.

Therefore, the balance will be $6,200 in 6 years.

Learn more about the simple interest here:

brainly.com/question/22621039

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Hey there! :)

Answer:

Last choice. a= 6.

Step-by-step explanation:

Starting with:

-6(2 + a) = -48

Distribute the -6:

-6(2) -6(a) = -48

Simplify:

-12 - 6a = -48

Add 12 to both sides:

-12 + 12 - 6a = -48 + 12

-6a = -36

Divide both sides by -6:

a = 6. Therefore, the last choice is correct.

Answer:

a = 6

Step-by-step explanation:

Solve the one-variable equation using the distributive property and properties of equality.

–6(2 + a) = –48

What is the value of a?

a = –6

a = –3

a = 5

a = 6