1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
loris [4]
3 years ago
13

A cable 20 feet long connects the top of a flagpole to a point on the ground that is 16 feet from the base of the pole. How tall

is the flagpole?

Mathematics
1 answer:
timurjin [86]3 years ago
3 0
Think of it like a triangle.

The flagpole is vertical and is at 90° to the ground. This makes a right-angle to the ground, which is flat.

Since we have two sides of the triangle already, and they are in a ratio of ?? : 16 : 20 = ?? : 4 : 5, that means that because the triangle is a right-angled triangle, the third and last side must be 3 to complete the ratio! (This is called 'Pythagoras')

Since the other sides were divided by 4 to get the simple ratio, we must multiply 3 to get the actual ratio! 3 × 4 = 12 ft tall flagpole.

You might be interested in
PLEASE HELP ME QUICKLY!!! Given that N:{1,2,3,5,8,13} and M:{−9,−8,−6,−4,−2,4}, which statements about N and M are true?
Lelechka [254]

Answer:

The intersection of N and M contains only those elements that are in both N and M.

The intersection of N and M is ϕ.

​N∩M=∅

Step-by-step explanation:

Given

M = { 1, 2, 3, 5, 8, 13}

N = {-9, -8, -6, -4, -2, 4}

Now let us see each statement one by one.

The intersection of N and M contains only those elements that are in both N and M.

The statement is true because by definition intersection of two sets consists of common elements of both sets.

The intersection of N and M is ϕ.

The statement is true. As there is no common element in both sets.

The intersection of N and M is {−9,−8,−6,−4,−2}.

The statement is false because there is not common element in M and N.

N∪M=∅

The statement is false as the union consists of elements of both sets so it can't be empty.

​N∩M=∅

True. Because no common element so intersection will be an empty set..

4 0
3 years ago
HELP ME MANN I HATE MATH
galina1969 [7]

Answer:

$12 a week

Step-by-step explanation:

If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.

5 0
3 years ago
Read 2 more answers
To estimate his travel time, Joe divides the distance, d, in miles by 5 less than his expected average speed, in miles per hour.
jenyasd209 [6]
310 / 75-5 = 4.42 or 4.4 hours. Let me know if you have any other questions.
5 0
2 years ago
Read 2 more answers
Chin canned a number of quart jars anf a number of pints jars of tomatoes from hid garden. A pint is 16 onces and a quart is 32
ryzh [129]

Answer:

The equation which models the scenario is:   16 p + 32 q  = 1280

Step-by-step explanation:

The total number of pints packed  = p

The total number of quarts  packed  = q

The weight of 1 pint jar of tomatoes  = 16 oz

So, the total weight of p pints  = p x ( Weight of 1 pint) = p x ( 16 oz) = 16 p

The weight of 1 quart jar of tomatoes  = 32 oz

So, the total weight of q quarts  = q x ( Weight of 1 quart) = q x ( 32 oz)

= 32 q

Now, the TOTAL WEIGHT of p pints and q quarts

= Total weight of { p pints +  q quarts}  = 16 p + 32 q

Also, chin canned a total of 1280 ounces.

⇒ TOTAL WEIGHT of p pints and q quarts = 1280 ounces

or,   16 p + 32 q  = 1280 ounces

Hence, equation which models the scenario is:   16 p + 32 q  = 1280

8 0
3 years ago
Tommy's wife wants to fence in her circular garden. How many feet of fencing will she need if the diameter of the garden is 16 f
pashok25 [27]

Answer:

C) 16π ft

Step-by-step explanation:

Fencing is perimeter.  The perimeter of a circle is the circumference.

The circumference of a circle is pi time diameter

C= pi*d

We know the diameter is 16

C = 16*pi  ft

We will need 16 pi ft of fencing


4 0
3 years ago
Read 2 more answers
Other questions:
  • London planes to repaint some classroom bookcases. She has 4 3/5 gallons of paint. All of the bookcases are the same the same an
    12·1 answer
  • If 52 men can do a piece of work in 35 days in how many days will 28 men to it?
    14·2 answers
  • Convert 52.68 feet per hour to inches per minute using dimensional analysis
    8·1 answer
  • In a market, 44 of the 80 types of vegetables are grown locally. What percent of the vegetables are grown locally? Identify the
    10·1 answer
  • If a is an even number, and we factor the expression a3 + 343, which statement is true about the quadratic factor we obtain?
    6·2 answers
  • Create a histogram for the data set. Click and drag on the horizontal axis to adjust the bar heights. 5, 21, 9, 12, 38, 32, 2, 2
    11·1 answer
  • If b=5 what is b to the power of 5
    5·2 answers
  • Hw help ASAPPP<br> +10PTS
    13·1 answer
  • Help................................................................................
    15·2 answers
  • Should the United States return to a gold standard? Why?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!