A flagpole AB, of height 5.8 m, stands on top of a wall BC. ABC forms a straight line. The wall leans slightly so that it makes an angle of 96° with the horizontal ground CD. The angle of elevation of the top of the wall, B, from the point D is 38°. Given that BD is 27.3 m, calculate AD.​

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

The volume of the solid of revolution can be determined by the following integral equation:

[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)

Where:

If we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]

[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]

[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]

[tex]V = \frac{1674\pi}{5}[/tex]

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

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Answer:

The surface area of the given triangular prism = 920 square cm.

In the given triangular prism

S1 = 25 cm

S2 = 25 cm

S3 = 14 cm = base

Height = 24 cm

length = 10 cm

Perimeter = S1 + S2+ S3

                 = 25+25+14

                 = 64 cm

Area of base =  length x base

                      = 10x14

                       = 140 square cm

Since we know that,

Surface area of triangular prism = (Perimeter × Length) + (2 × Base Area)

                                                     = (64x10) + 2x140

                                                     = 640 + 280

                                                     = 920 square cm

Hence,

The required surface area =  920 square cm.

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Answer:

40 degrees

Step-by-step explanation:

so, a triangle is 180 degrees. you know that one angle is 60 degrees.

180= 60+ 2x + x

this is the equation of the triangle

120=3x

simplify

40=x

x= 40 degrees

hope this helps :)

Answer:

y = -1/2x

Step-by-step explanation:

Okay, so you probably heard of the slope-intercept form, y = mx + b. We have to use that formula to create a line that goes through (2,1), because thats the bisector.

Let's have our point start at the origin, (0,0). This you make our equation of y=mx+b   into   y = mx + 0. Since it's 0, let's just drop it out of our equation.

So now for slope. Rise/Run is what we're going to use to create our slope. Since we started at the origin, our slope is going to be negative. We can go down one over two from the origin to get to points (2,1) so why can't that be our slope? We're rising -1, and running 2, making our slope -1/2. In the equation, it would be y= -1/2x + 0, which can be simplified into y = -1/2x

It's a lot of writing and explaining, so I hope this helps! Try asking your teacher just to make sure it's correct.

Step-by-step explanation:

the gradient describes the slope or steepness of the line joining two points.

it is expressed as the ratio of

y coordinate change / x coordinate change

so, we need to find 2 good points (typical with integer coordinates) per line to see how y and x changes between them.

for A I see e.g. (1, 1) and (2, 4)

for B I see e.g. (0, 5) and (1, 1)

so, for A

x changes by +1 (from 1 to 2)

y changes by +3 (from 1 to 4)

the slope or gradient of A : 3/1 = 3

and for B

x changes by +1 (from 0 to 1)

y changes by -4 (from 5 to 1)

the slope or gradient of B : -4/1 = -4

Answer:

The discount is $77, and the discount percent is 5%

Step-by-step explanation:

Discount: $1,540 - $1,463 = $77

Discount percent: $1,463 / $1,540 = 0.95, 1.00 - 0.95 = 0.05, 0.05 = 5%

Answer:

A) 24

B) 12

C) 54

Step-by-step explanation:

a+33=57

a=57-33

a=25

b+19=31

b=31-19

b=12

c=33+12+9

c=45+9

c=54

The value of A , B and C is 24, 12 and 54 respectively.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total= Men + Women

First, 57 = A + 33

A= 57- 33

A= 24

Second, 31 = 19+ B

B= 31- 19

B = 12

Third, 100= 46+ C

C= 100- 46

C= 54

Hence, the value of A , B and C is 24, 12 and 54 respectively.

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Answer:

n=6

Step-by-step explanation:

-4n=-24

4n=24

n=24÷4

=6

Answer:

p equals two and four tenths

Step-by-step explanation:

First let's write our equation

five p plus three equals fifteen

five p equals twelve

divide both sides by 5

p equals two and four tenths

_______________________________

Word Problem

You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?

Answer:

b)A line segment

because a line segment has fixed two points.

Answer:

1.75 feet in the blueprints for the width

2 feet in the blueprints for the length

Step-by-step explanation:

Like and give a 5-star rating

Please brainlest

Answer:

The answer is 19s +23

Step-by-step explanation:

You add together all the sides and simplfy down.

4s+10+s+4+4s+10+10s-1

Add all the like terms

until it gets to 19s+23

Answer:

19s + 23

Step-by-step explanation:

P = 2(4s + 10) + s+4+19s-1

P = 8s + 20 + s + 4 + 10s - 1

P = 19s + 23

45.5 acres of land can be farmed and 24.5 cannot be farmed.

Answer:

for what you have you need to add one more $10 bill.

or make it total $120.25

good luck!!

The total amount each friend will get after split money equally is $120.25.

Given that;

The picture shows the $481 four friends worked together to earn.

And, They want to split this money equally.

Here, the total amount earn = $481

And, the number of friends = 4

Hence, the amount each friend will get,

$481/4 = $120.25

Therefore, the value of the amount is $120.25.

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Answer:

the line goes through 1 from x axis and in the same time the line continue his trip and goes through 4 from y axis

so now we have rule to use to find the equation

y/4+x/1=1

y/4=1-x

y=4-4x

and this is the equation

Answer:

look at the picture ..........

Answer:

y=1

x=-2

Step-by-step explanation:

Lets use substitution for the first equation:

-4x=5+3y

Divide by -4 on both sides : x=-5/4-3/4y

Now we substitute x into the second equation:

3(-5/4-3/4y)-2y=-8

Simplify : -15/4-9/4y-2y=-8

Combine Like Terms : -15/4-17/4y=-8

Isolate the Variable : -17/4y=-17/4

y=1

Now we get that x is -5/4-3/4, which is -8/4=-2

x=-2

Answer:

n=-3/2

So B on edge

[tex]\\ \sf\longmapsto (\dfrac{1}{36})^n=216[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{36^n}=6^3[/tex]

[tex]\\ \sf\longmapsto 36^{-n}=6^3[/tex]

[tex]\\ \sf\longmapsto 6^{-2n}=6^3[/tex]

[tex]\\ \sf\longmapsto -2n=3[/tex]

[tex]\\ \sf\longmapsto n=\dfrac{3}{2}[/tex]

A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.

Answer:

500 shots

Step-by-step explanation:

the question is 8% of what number is 40?

we can use this proportion:  is/of = %/100

let 'g' = number of goals

40/g = 8/100

cross-multiply to get:

8x = 4000

x = 500

Answer:

Between the edges of the first two triangles there is a ratio. To find this ratio, you need to ratio one edge of a small triangle to one edge of a large triangle. So 5/30=6/36=8/48=1/5. The ratio we want to find is 1/5 or 5.

Answer:

B

Step-by-step explanation:

Meet at the middle of the two lines

Answer:

pretty sure it's c

Step-by-step explanation:

when we learned that, we're always supposed to start with x which in this occasion is 4 and y is 2

Answer:

Nonlinear.

Step-by-step explanation:

Linear equations do not contain exponents. Since the equation given has an exponent, it would not form a straight line on a graph, and therefore, it is nonlinear.

Hope this helps.

Answer:

7.52 million divided by 1

Step-by-step explanation:

Here's ur perfect answer

Answer:

This problem is in Point Slope form:

To turn it to Slope-Intercept form, you must follow these simple steps below⤵⤵⤵:

To turn it to Standard Form, you must follow these simple steps below⤵⤵⤵:

Hope this helps you :)