A flagpole stands perpendicular to the ground. It is supported by a 20-foot cable that runs from the top of the flagpole to the ground at a point that is 12 feet from the base of the pole. Find the height of the flagpole. The Pythagorean theorem is a2 b2

Answers

Answer 1

Answer:

h  =  16 feet

Step-by-step explanation:

Pythagoras´ theorem establishes, that in a right triangle square of the hypothenuse (c²) is the sum of leg ( b²)  plus  leg  (a²)

Then

c²  =  a²  +  b²

where according to the problem statement

(20)²  =  h²  +  (12)²           (  h is the height of the flagpole )

h²  =  400 -  144

h²  =  256

h  =  √ 256

h  =  16 feet


Related Questions

Stuck on this one pls help

Answers

The answer is 16 bc that just means 8 x 2

5 (n - 1/10) = 1/2
What is the answer to n??

Answers

Answer:

n = 1/5

Step-by-step explanation:

5n - 1/2 = 1/2

5n = 1

n = 1/5


[tex] {20}x^{2} - {45}y^{2} [/tex]

Answers

Answer:

5(4x^2-9y^2)

Step-by-step explanation:

I assume you want to simplify the expression:

20x^2-45y^2

5(4x^2-9y^2)

I believe it is 5(5x^2-9y^2)

PLZZZZ SOME ONE GELP PLZZZ PLZ PLZZZ. ASAP!


.


explain how to use the pythagorean theorem to determine if a triangle is acute obtuse or right

Answers

Helpful? I don’t know exactly what you need but I found this

Leon wrote an expression that is equivalent to (30 + 6) ÷ 12. Which expression could be the one Leon wrote?

Answers

Answer:

36/3*4

Step-by-step explanation:

Brainliest please!

pls help (links are gonna get reported)

Answers

Answer:I believe its 0.

Step-by-step explanation: If you have a 3 and a -3 the answer would be 0, because the -3 would overpower the 3 and 3-3=0 so thats the only reasonable answer. Thanks~

Answer:

B

Step-by-step explanation:

student B has scored - 3

student D has scored 3

combined score = - 3 + 3 = 0 → B

2/4 list the next four multiples of the fraction.

Answers

Answer:

[tex]\frac{2}{4} = \frac{4}{4}, \frac{6}{4}, \frac{8}{4}, \frac{10}{4}[/tex]

Step-by-step explanation:

Given

[tex]n = \frac{2}{4}[/tex]

Required

The next 4 multiples

To do this, we simply get the multiples of the numerator (2)

[tex]2 = 4,6,8,10[/tex]

So, the next 4 multiples are:

[tex]\frac{2}{4} = \frac{4}{4}, \frac{6}{4}, \frac{8}{4}, \frac{10}{4}[/tex]

What is the equivalent radian measure of 600?​

Answers

Answer:

[tex] = \frac{ \theta}{180} \times \pi \\ = \frac{600}{180} \times \pi \\ = \frac{10}{3} \pi[/tex]

Please help! It’s urgent!

Answers

Answer: C

Step-by-step explanation: Hope this help :D

which three fractions are less than 40%

A. 3/20
B. 23/100
C. 3/5
D. 1/8​

Answers

Answer:

A, B, D

Step-by-step explanation:

Answer:

A, B, D

Step-by-step explanation:

40% is the same as the fraction 4/10.

Compare 4/10 with 3/20 (A):

LCM of 10 and 20 is 20, so make the denominators of all fractions to 20

We now have 8/20 and 3/20

Now you can just simply look at the numerators. 3 is obviously less than 8 so option A is less than 40%

Compare 4/10 with 23/100 (A):

LCM of 10 and 100 is 100, so make all denominators 100

Now compare 40/100 and 23/100

40>23 so 23/100 is less than 40%

Compare 4/10 with 3/5 (C):

We can further reduce 4/10 to 2/5, and conveniently it has the same denoninator as 3/5. 3 is NOT less than 2, so C is ruled out.

Compare 4/10 with 1/8 (D):

LCM of 10 and 8 is 40, so we'll use that as our denominator

We now have 16/40 and 5/40.

5 is less than 16, so we include D in our answer.

Which of the following is the graph of f(x) = -0.5|x + 31 -2?

Answers

Answer:

7

Step-by-step explanation:

hope t helps

[Will mark as brainliest, and give you a 5 star rating, will report scam answers, please give the question a shot.]
A fruit stand at the checkout line has 5 bananas, 3 apples, and 4 oranges. Find the probability that if you randomly chose 3 fruits:

A) Two oranges and one banana are chosen


B) One of each fruit is chosen


C) All three are bananas

Answers

Answer:

B)

Step-by-step explanation:

Answer:

b, one of each fruit is chosen

Step-by-step explanation:

What is the correct answer?

Answers

There are 8 marks on the line and the first line is 3 long while the second is 2 long
c. 3/8+2/8=5/8

anyoneknowsthishelppls

Answers

Answer:

c

Step-by-step explanation:

I really need some help with this question (Image attached)

Answers

Answer:

KL = 23

KM = 29

Step-by-step explanation:

By applying cosine rule in the given triangle KLM,

cos(∠M) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(52°) = [tex]\frac{LM}{KM}[/tex]

cos(52°) = [tex]\frac{18}{KM}[/tex]

KM = [tex]\frac{18}{\text{cos}52}[/tex]

KM = 29.24

KM ≈ 29

By applying sine rule,

sin(52°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(52°) = [tex]\frac{KL}{29.24}[/tex]

KL = 29.24[sin(52°)]

    = 23.03

    ≈ 23

KL = 23

What is the area of the figure in the picture plsssss i neeed it rn tysmm

Answers

Answer:

141

Step-by-step explanation:

2) Zack ran 6 miles this weekend. How many feet did Zack run over the weekend?​

Answers

Answer:

zach ran 31680 feet over the weekend.

Step-by-step explanation:

1 mile = 5280, so 6 x 5280 = 31680

For those who watch anime: Tell me what type of anime recommendations you want and I'll try to recommend 1-3.

Answers

Answer:

one punch man

Step-by-step explanation:

# title rating
1 Fullmetal Alchemist (TV) 8.65
2 Death Note (TV) 8.78
3 Cowboy Bebop (TV) 8.90

Two​ non-overlapping angles that share a ray making an obtuse angle are ___ The sum of the​ angles' measures is ___ degrees

Answers

Answer:

90 , 40

Step-by-step explanation:

Two non-overlapping angles that share a ray making an obtuse angle are 50° .

The sum of the angles' measures is 180° degrees.

I hope my answer is correct


The electrical current, in amperes, in a circuit varies directly as the voltage. When 15 volts are applied,
the current is 5 amperes. What is the current when 57 volts are applied?

Answers

Answer

The electrical current, in amperes, in a circuit varies directly as the voltage when 15 volts are applied, the current is 5 amperes-by-step explanation:


If BAC = 320°, what is the measure of BC?
a. 40°
b. 80°
C. 160°
d. 320°

it also asks for the measure of angle BMC using the same photo!

Answers

Answer:

BC = 40º

BMC = 40º

Step-by-step explanation: Since the measure the major and minor arcs add up to 360º, just subtract 320 from 360 to find BC which is 40º. <BMC is also 40º because the measure of the arc is equal to its corresponding angle.

At Jefferson Middle School,
3/5
of the students play a sport. Of those students,
1/3
play soccer. What equation can be used to find what fraction of the students play soccer?


1
3
+
3
5


1
3
÷
3
5


1
3
×
3
5

Answers

answer: c or 1/3 x 1/5

explanation: you look at the total [3/5] and multiply that by the total of soccer players [1/3]

Answer:

[tex]\frac{1}{3}[/tex]  times [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the
plane is 704 m above the water, how many kilometers is it from a point 704 m
directly above the atoll?
1) 807.85 km
2) 5733.62 km
3) 5.73 km
4) 86.44 km

Answers

I believe the answer is 5.73

On Marlene's trip to Starved Rock, her average rate of speed for the entire five-hour trip was 62 miles per hour. For the first two hours of her trip, she kept her average speed at 50 miles per hour. Then she realized she was going to be late to meet her friend for dinner, so she started driving faster. What was her average speed for the last three hours of the trip?

Answers

Answer:

70 miles per hour

Step-by-step explanation:

Distance = speed * time

speed = distance / time

------------------------------

Total Distance

speed = 62

time = 5

62 * 5 = 310 miles

Distance travelled in first 2 hours

speed = 50

time = 2

50 * 2 = 100 miles

Remaining distance

310 - 100 = 210 miles

Speed to cover 210 miles in 3 hours

distance = 210

time = 3

210/3 = 70 miles per hour

What would be the best way to display both the overall shape and individual values of the data below?

dot plot
box graph
stem-and-leaf graph
frequency table

Answers

Answer:

Box Graph

Step-by-step explanation:

This is because you can see the median and quadrants, and also the edges of the dataset

The best way to display both the overall shape and individual value of the data is box graph.

What is box graph ?

"A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median."

"A boxplot is a standardized way of displaying the distribution of data based on a five number summary (“minimum”, first quartile (Q1), median, third quartile (Q3), and “maximum”). It can tell you about your outliers and what their values are. It can also tell you if your data is symmetrical, how tightly your data is grouped, and if and how your data is skewed."

From the graph we can conclude that

This is because you can see the median and quadrants, and also the edges of the dataset in the box graph.

Hence B is the correct option.

To know more about box graph here

https://brainly.com/question/13338464

#SPJ2

MATH IS ANNOYING! SO HELP MEW DO IT :D

Answers

Answer:

18 in.²

Step-by-step explanation:

4 + 2 = 6

2 · 6 = 12 in.²

3 · 2 = 6 in.²

12 in.² + 6 in.²

18 in.²

7. If the total number of books checked out of the library at your high school is 14,400 and the student population
is about 2400. How many books on average does each student have?

Answers

To find how many books per student, you will have to divide the total number of books by the total number of students.

14,400/2,400
= 6

Which is a lot of books to check out from a school, but real life math problems has no logic.

Find the area of the circle to the nearest tenth.

A.210.3 sq m
B. 660.5 sq m
C. 2075.1 sq m
D. 2642.1 sq m

Answers

The answer is b
Brainliest pls

If carpet costs $3.25 per square yard, how much would it cost to carpet a rectangular room that is 8 yards wide and 12 yards long?

Answers

Answer:  $312.00

Step-by-step explanation:

By multiplying the area of the floor wanted to be carpeted by the price rate, you can conclude that this room would cost $312 dollars to be carpeted.  

PLEASE HELPPPPPP ME

Answers

Answer:

True

Step-by-step explanation:

Do the working for it and youll find the answer

[tex]1 + cosa[/tex]

[tex]\pi[/tex]

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