A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.
A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h.

What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet

A Wire That Is 22 Feet Long Connects The Top Of A Pole To The Ground. The Wire Is Attached To The Ground

Answers

Answer 1

Concept Used :-

In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.

Given Information :-

Hypotenuse = 22 ft. Base = 10 ft.

To Find :-

The value of side or the perpendicular

Formula Used :-

[tex] \star \: \underline{ \boxed{ \purple { \sf {Side}^{2} = {Hypotenuse}^{2} - {Base}^{2} }}} \: \star [/tex]

Solution :-

[tex]\sf \longrightarrow {Side}^{2} = {(22 \: ft)}^{2} - {(10 \: ft)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {484 \: ft}^{2} - {100 \: ft}^{2} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {384 \: ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \sqrt{ {384 \: ft}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, option B. 19.60 ft. is the correct option.

[tex]\underline{\rule{230pt}{2pt}} \\ \\ [/tex]

Answer 2

Answer:

Answer is B

Step-by-step explanation:


Related Questions

20 Points, Part A What percentage of the time margins are at least 0.6 second? Part B What is the most common margin of victory? (Screenshot)

Answers

Answer:

20%

0.5

Step-by-step explanation:

There are 20 margins, so you have to count how many are 6.0 or higher. There are 4 margins that fit this so you divide the 4 margins by 20, then multiply the quotient by 100. That's how you get 20%.

The most common time was 0.5.

2. How many lines of symmetry does this shape have?

Answers

Answer:

it has three lines of symmetry

Step-by-step explanation:

Answer:

one line of symmetry

Step-by-step explanation:

Write a second equation for the system so it has infinitely many solutions.

Write a second equation whose graph goes through (0,2) so that the system has no solutions.

Write a second equation whose graph goes through (2,2) so that the system has one solution at (4,3).

Answers

Answer:

See below ↓

Step-by-step explanation:

Our equation :

y = 3/2x - 3

(A) Infinitely Many Solutions

y = 3/2x - 3The slope and y-intercept have to be equal in order for it to have infinitely many solutions

(B) No solution

y = 3/2x + 1The slope has to be equal and the y-intercept has to be different in order for it to have no solution

(C) One solution at (4, 3)

x has to equal 4y = 3/2x - 3 and y = 2x - 1In both of these equations, (4, 3) is a solution

Please help!! If you aren't going to actually help, please don't even answer.

Answers

#1

Change of base formula is given by

[tex]\\ \rm\Rrightarrow log_ab=\dfrac{log_db}{log_da}[/tex]

#2

Two most common bases are

e10

As general logarithm has base 10 and natural has base e hence these two are most used

#3

We use e as base

[tex]\\ \rm\Rrightarrow log_23[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{log_e3}{log_e2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{ln3}{ln2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1.0986122886681}{0.6931471805599}[/tex]

[tex]\\ \rm\Rrightarrow 1.6[/tex]

if 9% of 84 students like pizza if 6% like hotdogs and 15% like nachos and 6% like candy how much percentage is left popcorn

Answers

Answer:

64%

Step-by-step explanation:

36% like everything else, leaving a 64%

Answer: 64%

Step-by-step explanation:

9 + 6 + 15 + 6 =36

popcorn = 100- 36% = 64%


64/100 × 84/1

Please help me with my math homework

Answers

 

n this world, no one can survive alone. Team up with friends to fend off countless waves of zombies, fight bosses, earn coins, level up, and buy new towers! If you're feeling up for a challenge, try taking on harder bosses on harder difficulties!

Find value of a and b. ​

Answers

Answer:

a = 65

b = 65

Step-by-step explanation:

a = 65 becasue of corresponding angles.

a and b are opposite angles of a parallelogram.

b = a = 65

Answer:

a=65° b=65°

Step-by-step explanation:

from the diagram,

b=65° (alternative angles are equal)

a=65° (corresponding angles are equal)

Which equation has no solution? |4x – 2| = –6 |–2 – x| = 9 |3x 6| = 6 |–2x 8| = 0

Answers

Step-by-step explanation:

The absolute value of any equation can never be negative.

|4x - 2| = -6 has a negative value -6.

The |4x - 2| = -6 has no solution for x because |x| can not be negative.

Alexei wants to hang a mirror in his boat and put a frame around it. the mirror and frame must have an area of 19.25 square feet. the mirror is 3 feet wide and 5 feet long. which quadratic equation can be used to determine the thickness of the frame, x? 2x2 8x − 19.25 = 0 3x2 5x − 19.25 = 0 4x2 16x − 4.25 = 0 4x2 16x 15 = 0

Answers

The quadratic equation that can be used to determine the thickness of the frame will be B. 3x² + 5x - 19.25 = 0

What is a quadratic equation?

It should be noted that a quadratic equation simply means an algebraic expression of the second degree in x.

In this case, the quadratic equation that can be used to determine the thickness of the frame will be 3x² + 5x - 19.25 = 0

Learn more about equations on:

https://brainly.com/question/2972832

Answer:

The answer is C. 4x2 + 16x - 4.25 = 0.

Step-by-step explanation:

the net of a square pyramid and its time engines are shown in the diagram what is the lateral surface area in square feet?
A 960
B 336
C 240
D 192​

Answers

The answer is C
Explanation it’s C

Answer:

c

Step-by-step explanation:

PLEASE HELP I NEED HELP

Answers

Answer:

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:

1

y-intercept:

(

0

,

0

)

x

y

0

0

1

1

can someone help with this??

Answers

Answer:

1 is 13480851.0638

2 is 20438709.6774

3 is 5812844.0367

Step-by-step explanation:

Which inequality has the graph shown below?

Answers

It’s automatically the first one, because a non-dotted line means it can be equal to, and it’s shaded up meaning it’s greater than.

What inequality is graphed on the number line below?

Answers

Answer:

C) b ≤ 3

Step-by-step explanation:

The endpoint of the graph is the midpoint between 2 and 4, so it is 3.

This point is included since indicated as full circle.

The graph includes the line to the left of 3:

b ≤ 3 is the correct one

PLEASE HELP ASAP Write an equation that models the data in the table (Screenshot below)

Answers

Answer:

y = 7x

Step-by-step explanation:

Every y is greater 7 times than x. It means that everytime you multiply X by 7, it will be equal to y

|x+1|+|x-2|=3

can someone give an easy explanation plssss

Answers

Answer:

The numbers inside |x| is always positive

Step-by-step explanation:

|x+1| --->  x+1
|x-2| --->  x+2
               = 3

PLS HELP FOR BRAINLY

Answers

Answer:

B

Step-by-step explanation:

Hope this helped and brainly please

Choose all numbers that are greater than 12%
CHECK
1/8
1/12
23/200
7/50
15%
0.025

Answers

Answer:

1/8, 7/50, 15%,

Step-by-step explanation:

I asked siri

answeeeer plssssss..

Answers

ok well- what time do you need it to be answered by?

A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the
probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form?

Answers

Answer:

the chances are most likely going to be 50/50

Step-by-step explanation:

50

50

Answer: 1/5

Step-by-step explanation:

Jenny’s grandmother is making a quilt for

her 18th birthday. When she ran out of

material she asked Jenny to go to the

store and pick up more patches.


She only had one square cut in half at the

diagonal, creating 2 equal triangles left.

Each triangle has an area of 0. 18 units.

What is the length of the side of the square?

Answers

The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.

What is the Area of a Square?

Area of a square = s², where s is the side length of the square.

1 square = 2(areas of triangles)

1 square = 2(0.18)

1 square = 0.36 units²

s² = 0.36

s = √0.36

s = 0.6 unit.

Length of the side of the square = 0.6 unit.

Llearn more about area of a square on:

https://brainly.com/question/813881

#SPJ1

does anyone know what the questions are for module 3 algebra dba

Answers

Answer:

no

Step-by-step explanation:

I never knew u had dba for math

Surface area
5.5 m
1.2 m
1.6 m

Answers

5.5(1.2)=6.6
1.6(1.2)=1.92

6.6(4)=26.4
1.92(2)=3.84
Add them and get 30.24m^2
multiply 5.5,1.2, and 1.6 together and you will get your answer!!! i hope this helps!!

(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution :

[tex]\qquad \sf  \dashrightarrow \:(2 {x}^{2} + 5x - 7) + (3 - 4 {x}^{2} + 6x)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2{x}^{2} + 5x - 7 + 3 - 4 {x}^{2} + 6x[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 {x}^{2} - 4 {x}^{2} + 5x + 6x - 7 + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 {x}^{2} + 11x - 4[/tex]

Each week Samantha can pay as much $15 for her school at lunch. Write an inequality showing how much Samantha spends at lunch. I NEED HELP WITH THIS PLEASE!!!!!!!

Answers

Answer:

x ≤ 15 - weekly

x ≤ 3 - daily

Step-by-step explanation: sorry, not much info to answer this :(

What do you think Thomas Edison meant by the word perspiration? How do those words apply to what you've learned about businesses in this lesson?​

Answers

1. Thomas Edison used "perspiration" to refer to the physical and mental efforts needed to achieve a meaningful purpose in any human endeavor.

2. As it applies to businesses, it is not enough to develop a business idea or plan, as the business person must be prepared to execute and carry the business idea or plan to fruition.

What does Thomas Edison's reference mean?

According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).

Perspiration literarily refers to the sweat that emanates as someone works hard.

Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.

Learn more about Thomas Edison at https://brainly.com/question/26568016

The books namely Math, English, Arabic, Physics, and Chemistry are arranged in the rack by the librarian. What is the probability of Math book will be kept in first place?

Answers

Answer:

P(4,4) / P(5/5) = 1/5

Step-by-step explanation:

Total possibility:

All the 5 books can be arranged in a rack with P(5,5)=5! ways

Favorable Possibility:

Math book is kept in a first place, it mean that it is fixed

So remaining 4 books and that can be arranged in P(4,4)=4! ways

Hence,

Probability= number of favorable cases / total number of possibilities

Probability = P(4,4) / P(5,5) = 4! / 5! = 1/5

Square a root of 32761 by division method

Answers

Answer:

181..

Step-by-step explanation:

        1 8  1   <     answer

      -----------

        32761

  1     1    

        227

 28   224      

              361

 361        361

Uh can someone tell me the answer to this im kinda stuck.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{8}{15} \div - \dfrac{ 3}{5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{8}{15} \times - \dfrac{ 5}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{( - 8 \times - 5)}{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{40}{45} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{8}{9} [/tex]

Hence, the correct choice is D

Answer:

  D)  8/9

Step-by-step explanation:

There are a couple of ways to do division by fractions. In the end, they amount to the same thing, but they look different as you go through the process. They might be summarized as ...

"invert and multiply", or "dot swap", andnumerators of the same denominator.

__

Signs

The sign of the quotient will be negative only if there are an odd number of minus signs in the problem. Here, both the dividend and divisor have minus signs, so the number of them is even. The result will be positive. (This eliminates choices A and B.)

__

Invert and Multiply

As with ordinary division by any number, it is equivalent to multiplication by the reciprocal of the number. That fact is used here to change the division problem to a multiplication problem.

  [tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\times\dfrac{5}{3}\qquad\text{multiply by the reciprocal of the divisor}[/tex]

  [tex]=\dfrac{8}{15}\cdot\dfrac{5}{3}\qquad\text{"dot" for multiplication, "swap" to make reciprocal}[/tex]

The result can be reduced by cancelling common factors in this process.

  [tex]\dfrac{8}{15}\times\dfrac{5}{3}=\dfrac{8}{3}\times\dfrac{5}{5}\times\dfrac{1}{3}=\dfrac{8}{3\cdot3}=\boxed{\dfrac{8}{9}}[/tex]

__

Numerators of the Same Denominator

For this method, both the dividend and the divisor need to be expressed over the same denominator.

  [tex]\dfrac{8}{15}\div\dfrac{3}{5}=\dfrac{8}{15}\div\dfrac{3\cdot3}{5\cdot3}=\dfrac{8}{15}\div\dfrac{9}{15}[/tex]

We can rewrite this as a compound fraction to show that we effectively cancel the same denominators.

  [tex]=\dfrac{\left(\dfrac{8}{15}\right)}{\left(\dfrac{9}{15}\right)}=\boxed{\dfrac{8}{9}}[/tex]

A model robot uses the scale 1 inch : 2 feet. If the model robot was 5 inches tall, the real robot would be __ feet tall​

Answers

Answer: 10 feet

The ratios:

1 inch : 2 feet

5 inch : x feet

Finding x:

1 * 5 = 5

2 * 5 = 10

             The real robot would be 10 feet tall.

Answer:

10 inches

Step-by-step explanation:

because 1 in= 2 ft
we can multiply 5 by 2 which is 10

your answer is 10 ft tall.

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