A 4.5 m long pipe rests against a 2 m high
tank. One end of the pipe is on the ground
3 m from the base of the tank. How much
of the pipe overhangs the tank?
4.5 m
Bm
3 m


help me please lol

A 4.5 M Long Pipe Rests Against A 2 M Hightank. One End Of The Pipe Is On The Ground3 M From The Base

Answers

Answer 1

Answer:

0.89 m is the answer

Step-by-step explanation:

the wall, the ground and portion of pipe form a right angle triangle with pipe portion being the hypotenuse.

for a right triangle

[tex]{hypotenuse}^{2} = {base}^{2} + {height}^{2} [/tex]

here we have base = 3m and height = 2m.

thus

[tex] {h}^{2} = {3}^{2} + {2 }^{2} \\ = 9 + 4 \\ = 13 \\ h = \sqrt{13} [/tex]

portion of pipe overhanging = 4.5 - sqrt (13)

= 4.5 - 3.61

= 0.89 m


Related Questions

Helppppppp me please

Answers

Given:

In [tex]\Delta QRS, \overline{QR}\cong \overline{SQ}[/tex] and [tex]m\angle Q=114^\circ[/tex].

To find:

The [tex]m\angle S[/tex].

Solution:

In [tex]\Delta QRS[/tex],

[tex]\overline{QR}\cong \overline{SQ}[/tex]

It means the triangle QRS is an isosceles triangle. We know that the base angles of an isosceles triangle are congruent and their measures are equal.

[tex]\angle R\cong \angle S[/tex]      [Base angles of isosceles triangle QRS]

[tex]m\angle R=m\angle S[/tex]            ...(i)

In [tex]\Delta QRS[/tex],

[tex]m\angle Q+m\angle R+m\angle S=180^\circ[/tex]

[tex]m\angle Q+m\angle S+m\angle S=180^\circ[/tex]        [Using (i)]

[tex]114^\circ+2m\angle S=180^\circ[/tex]

[tex]2m\angle S=180^\circ-114^\circ[/tex]

[tex]2m\angle S=66^\circ[/tex]

Divide both sides by 2.

[tex]m\angle S=\dfrac{66^\circ}{2}[/tex]

[tex]m\angle S=33^\circ[/tex]

Therefore, the [tex]m\angle S[/tex] is 33 degrees.

Solve x2 − 3x = −8. (2 points)

Answers

That is the answer:)

Answer: x=3 plus or minus i square root 29 end root all over 2

!!PLEASE HELP 25 POINTS!! The graph of an absolute Value

Answers

Answer:

(-1, 8)

the value of a is 8

Miss McGrew is making stools for her first graders to use during story time. To make the stools, she covers wooden cubes with carpet, 40 cm How much carpet does it take to cover each cube?

Answers

240 cm

Step-by-step explanation:

each side is 40 cm, a cube has 6 sides. 6×40= 240

Find the value of x.

Answers

Answer:

x=10

Step-by-step explanation:

6(x+2)=8(x-1)

x=10

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]8(x−1)=6(x+2)[/tex]

[tex]8x−8=6(x+2)[/tex]

[tex]8x−8=6x + 12[/tex]

[tex]2x−8=12[/tex]

[tex]2x=12+8[/tex]

[tex]2x=20[/tex]

[tex]x = \frac{20}{2} [/tex]

[tex]x = 10[/tex]

Hope it is helpful....

Find the volume of the prism.
2 m

Answers

Answer:

12 cubic meters

Step-by-step explanation:

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?

(2, –8)
(–8, –2)
(–2, 8)
(8, 2)

Answers

Answer:

i think it is b -8 -2

Step-by-step explanation:

Answer:

in picture

Step-by-step explanation:

Given a circle with radius 4 cm, calculate (use π=3,14) the circumference, rounding off to two decimal places

Answers

Answer:

goodgydudufjdjdjdjdururirurur7rigjfifut

Step-by-step explanation:

goodghdhfudjdjsdhydydbsjshhdvrjeiid

HELP I WILL AWARD BRAINLIEST
*Prove that corresponding angle bisectors in congruent triangles are congruent.

Answers

Answer:

CPCTC

Step-by-step explanation:

BESTIE MY CAPS LOCK KEY IS LIKE STUCK SO YEAH

ANYWAY, THIS IS GOING TO SOUND REALLY AGGRESSIVE

SO CONGRUENT TRIANGLES HAVE 3 EQUAL SIDES AND 3 EQUAL ANGLES

THEY ARE EXACTLY THE SAME

SINCE WE KNOW ALL OF THIS AWESOME INFORMATION, NOW WE CAN THAT THE ANGLE BISECTORS WILL BE CONGRUENT BY CPCTC -

CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT

WE CAN USE AN EXAMPLE TO UNDERSTAND BETTER

SAY YOU HAVE 2 CONGRUENT TRIANGLES

THE ANGLES ARE 50, 60, AND 70

SAY THAT THE ANGLE BISECTORS ARE ON 60

THEY WILL BE CONGRUENT BECAUSE THEY ARE THE CORRESPONDING ANGLES OF 2 CONGRUENT TRIANGLES

BUT WHEN YOU ARE ASKED FOR A REASON, IT IS BECAUSE OF CPCTC

CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT

in the similar triangle ABE and triangle CDE,AB=10cm,ED=4cm,CD=8cm find the length of BC​

Answers

9514 1404 393

Answer:

  BE = 5 cm

Step-by-step explanation:

Your problem statement asks for the length of BC. There is no segment BC. Points B and C are in different triangles.

The length of segment BE can be found from the proportion ...

  BE/DE = AB/CD

  BE = DE·AB/CD = (4 cm)(10/8)

  BE = 5 cm

3100 times 43 how much is this

Answers

Answer:

133,300

Step-by-step explanation:

3100 x 43 = 133,300

Answer: 133,300

Step-by-step explanation: 3100 x 43= 133300

a/2-8=-4
I have no idea how to do this!!

Answers

Answer:

a = 8

Step-by-step explanation:

a ÷ 2 - 8 + 8 = - 4 + 8

a ÷ 2 = 4

a ÷ 2 × 2 = 4 × 2

a = 8

Answer:

a = 8

Step-by-step explanation:

Given

[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )

[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )

a = 8

Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l? i will give brainliest for the answer


A. (−4,−3),(−3,−6)
B. (−18,−1),(−3,0)
C. (−6,−4),(−3,−3)
D. (−2,−3),(−3,−6)

Answers

Answer:

c. (−6,−4),(−3,−3)

Step-by-step explanation:

a). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-4)

-3/ 1

= -3

b). y2 - y1 / x2 - x1

0 - (-1) / -3 - (-18)

= 1/15

c). y2 - y1 / x2 - x1

-3 - (-4) / -3 - (-6)

= 1/3

d). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-2)

3

Answer:

D

Step-by-step explanation:

ALWAYS REMEMBER THIS EQUATION: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Find the slope of answer A

1. [tex]\frac{-6 - -3}{-3 - -4} = \frac{-3}{1}[/tex]

 2. This answer is not perpendicular to "l" because it is equal to -3. (Even if it has a different y-intercept, it will just be parallel, not perpendicular.)

Find the slope of answer B

1. [tex]\frac{0 - -1}{-3 - -18} = \frac{1}{15}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer C

1. [tex]\frac{-3 - -4}{-6--2} = \frac{1}{-4}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer D

1. [tex]\frac{-6 - -3}{-3 - -2} = \frac{-3}{-1}[/tex]

 2. This answer is perpendicular to "l" because 3 is the inverse of -3.

Name a Radius
A. AP
B. AB
C. DE
D. All of the above
please help I'll really appreciate it ​

Answers

Answer:

AP is the radius since it's a straight line extending from the center. CP and BP are radiuses as well

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

Radius is the line segment that joins the centre of a circle and any point on its circumference. In the figure , AP is the radius. The plural form of radius of radii. All the radii of a circle are equal i.e AP , PB & PC are radii and they're equal.

[tex] \large{ \tt{❁ \: LET'S \: CHECK \: THE \: OPTIONS: }} [/tex]

[tex] \large{ \tt{ \overline{AP}}}[/tex] - Yes! [tex] \tt{ \overline{AP }}[/tex] is a radius since it is the line segment which joins the centre of a circle and any point on the circumference.

[tex] \large{ \tt{ \overline{ AB}}}[/tex] - No! It's a diameter since it is the line segment that passes through the centre of a circle and joins any two points on its circumference. Remember: The length of a diameter is two times radius i.e if the length of radius [ AP ] is 5 then the length of Diameter [ AB ] will be 5 × 2 = 10.

[tex] \large{ \tt{ \overline{ DE}}}[/tex] - No! It's a chord since it is the line segment which joins any two points on the circumference of a circle.

[tex] \large \boxed{ \boxed{ \tt{☄OUR \: FINAL \: ANSWER : { \tt{ \overline{AP}}}}}} \: [/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

please can anyone help me out!!​

Answers

Answer:

1.39 m

Step-by-step explanation:

sin 63 = x/13.5 (x = CD)

sin 52 = x/13.5 (x=AC)

take the difference between the two

Find f(2) if f(x) = 2x + 1.

Answers

5
2(2)+1
4+1=5
Answer is 5
The answer for the question is 5

I DONT UNDERSTAND THIS I NEED HELP

Answers

Answer:

It is -4 :)

Step-by-step explanation:

I just did this lol

A population of insects can be modeled by the equation y = 12,000 + 8000 sin(θ). What is the greatest number of insects you will find?

Answers

Answer:

20000

Step-by-step explanation:

The greatest value obtained by sin(x) is 1.

So the greatest amount of insects is 12,000 + 8000(1)=20000.

The greatest number of insects are 20000.

What is trigonometric function?

"Trigonometric functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions.

The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant. "

We have,

y = 12000+8000 sinθ

The possible greatest value of trigonometric function in sinθ is 1 i.e., at [tex]90^{0}[/tex]

∴ sinθ  = 1

substitute sinθ = 1 in given equation

y = 12000+8000 (1)

⇒ y = 12000+8000

⇒ y = 20000

Hence, The greatest number of insects are 20000.

Learn more about trigonometric function here

https://brainly.com/question/22600237

#SPJ2

please help me :(

I am in Great trouble:(​

Answers

Answer: (I am not a maths moderator)

x=4

Step-by-step explanation:

Multiply the exponents

(2x-4)^12=(4^2)^6 (exponents multiply so)

(2x-4)^12=4^12

4^12 = 16777216

(2x-4)^12= 16777216

Take the 1/12 exponent for both sides

that will remove the ^12 exponent from the left side and will take the 12th root for the right.

2x-4=4

add 4 to both sides

2x=8

divide both sides by 2

x=4

HELP! What is the surface area of the right cone below?
12 6

A. 339 sq. units
B. 245 sq. units
C. 185 sq. units
D. 582 sq. units

Answers

Its A i put it in a calculator and that was the closest answer

The surface area of the right cone is,

⇒ 339 units²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Radius of right cone = 6 units

Slant height of right cone = 12 units

Now, We know that;

The formula for the total surface area of a right cone is,

⇒ T. S. A = πrl + πr²

Hence, We get;

The surface area of the right cone is,

⇒ 3.14 × 6 × 12 + 3.14 × 6²

⇒ 226.08 + 113.04

⇒ 339.1

⇒ 339 units²

Thus, The surface area of the right cone is,

⇒ 339 units²

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Question 42: Which equation represents the line that passes through the points
(-1, -2) and (3, 10)? *
O y = 3x + 1
O y = 3x - 1
O y = 4x + 2
O y = 4x - 2

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

first we need to find the slope

m = (y2-y1) / (x2-x1)

m = (10 - -2) / (3 - -1) = 3

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point you use

y - y1 = m ( x - x1 )

y - 10 = 3 ( x - 3)

y - 10 = 3x -9

y = 3x -9 + 10

y = 3x +1

Use the slope formula below (Rise Over Run)

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

We are given two points. Substitute those points in the equation. Remember that it is (x,y) and not (y,x).

[tex] \large{m = \frac{10 - ( - 2)}{3 - ( -1)} } \\ \large{m = \frac{10 + 2}{3 + 1} \longrightarrow m = \frac{12}{4} } \\ \large \boxed{\purple{m = 3}}[/tex]

Next we will be using the point-slope form then convert into slope-intercept form. You can also use the slope-intercept form to substitute one of these points and solve for the y-intercept. However, I will be using the point-slope form instead.

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

The equation above is in point-slope form. Next we can substitute one of given points. I will choose (-1,-2) to substitute (You can use another point as well since the outcome would be the same.)

[tex] \large{y - ( - 2) = 3(x - ( - 1))}[/tex]

We substitute x1 = -1, m = 3 and y1 = -2. Next, we simplify the equation and convert it in slope-intercept form.

[tex] \large{y + 2 = 3(x + 1)} \\ \large{y = 3(x + 1) - 2} \\ \large{y = 3x + 3 - 2} \\ \large \boxed{ \red{y = 3x + 1}}[/tex]

Answer

y = 3x+1

In circle P, BC=24 ft.
What is the length of arc AC?

Answers

the length of arc AC = 30* BC/2= 30*12=360
AC = 360

HELPPPPPPP!!!!! SOSOSOOSOOSSSS

Answers

I’m pretty sure it the 3rd one

Sorry if I’m wrong

Have a nice day :)


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

area =length× width

32 =length×4.

length=8 feet

a) Divide rs 21000 between Nisha and nishan so that Nisha gets double than nishan.​

Answers

Answer:

Hello There!!

Step-by-step explanation:

Let the nisha be x and nishan be y. Your statement is x=2y.

x+y=21000

2y+y=21000

3y=21000

y=21000/3

y=7000

The amount of money nishan got=7000

The amount of money nisha got=2y=7000 ×2=14000

hope this help,have a great day!!

~Pinky~

You earn $22 an hour and work 40 hours this week. Your Federal Income Tax rate is 20% and Social Security Tax rate is 5%. What is your net pay?

Answers

Answer:

$660

Step-by-step explanation:

22*40 = 880 dollars. This is your gross pay.

Then, 880*0.2 (deduction of federal income tax rate) = 176 dollars

We also have to deduct the social security tax rate so, 880*0.05 = 44 dollars

Therefore, we totally have to deduct 176 + 44 dollars which is 220 dollars. 880-220 = 660.

Let me know if im wrong!

need help finding the value of f (7)

Answers

Answer:

f(7) = -4

Step-by-step explanation:

f(7) means f(x) when x = 7. The x is replaced with 7.  

So we'll replace every x with 7 to go from x = 7 to 3 - x = 3 - 7 = -4  

Put in another way:

f(x) = 3 - x

f(7) = 3 - 7

f(7) = -4

The graphs of f(x) and g(x) are shown below.
o o
00
f(x)
4
2
5
21
2
-2 -1
-2
3
-4
g(x)
-6
-8
-12
-147
What are the solutions to the equation f(x) = g(x)?

Answers

F(x) = g(x) is the x- coordinate of the point where the graphs of the functions intersect. Create a table of values to find the point of intersection. The two functions intersect at the point (3,44). Therefore, the solution to the equation is x=3.

Hi, I'm really struggling with this question, any help?
A function inputs values for x and outputs values for y. The ordered pairs below represent three points on the graph of the function. (2,4) (3,0) (5,−1)
Is the function linear? Justify your response.

Answers

Answer:

Nope it isn't linear.

Step-by-step explanation:

Use a coordinate plane. The slope is y = -4x+12. if you plug that in, you will get all of the lines correctly

for instance you put 2,4

4 = -4(2)+12

4 = -8+12

that is true

but if you put in (5,-1)

-1 = -4(5)+12, which is not true

if all of them is true, then it would be true.

if even ONE of them is not true, then the who line is not linear

URGENT PLS!!
consider the system: 5x+3y = 12 , x-7y=10

using elimination method, what is the value of 38y? ​

Answers

Answer:

5x+3y=12

x-7y=10

first you want to make the x the same to 5 since you want to make the x = 0 so you can cancel out the x to find y

5x+3y=12

5x-35y=10

_________

38y = -38

y = -1

to find the x value substitute to any equations it can be the 1st or 2nd

5x+3(-1)=12

x = 3

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