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
goblinko [34]
3 years ago
11

The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 31

0 kg. How many kilograms can a 10-m beam support?
Mathematics
2 answers:
iren [92.7K]3 years ago
8 0
W = kL    where W = weight supported,  L = length of the beam and k is constant of variation.

Substituting the given values:-

310 = 2k
k = 155

so equation of variation is W = 155L

For length 10  m  the weight it can support is

W = 155*10  = 1550 kg answer
maria [59]3 years ago
4 0

Answer:

62 kg.

Step-by-step explanation:

Let w be the weight of beam and l be the length of beam.

We have been given that the weight that a horizontal beam can support varies inversely as the length of the beam.

We know that inversely proportion quantities are in form: y=\frac{k}{x}, where k is constant of proportionality.

w=\frac{k}{l}

First of all, we will find the value of k using the w=310 and l=2 in inversely proportion equation as:

310=\frac{k}{2}

310*2=\frac{k}{2}*2

620=k

Now we will substitute 620=k and l=10, in our given equation as:

w=\frac{620}{10}

w=62

Therefore, a 10-m beam can support 62 kilograms.

You might be interested in
Susan designed a circular pool with a diameter of 25 meters. What is the area of the bottom of the pool? Round to the nearest te
ludmilkaskok [199]
Given:
circular pool with a diameter of 25 meters.

find: area of the bottom of the pool.

It is safe to assume that the diameter of the pool is the same from the top of the pool to the bottom of the pool.

Area of a circle = π r²
where: 
π = 3.14
r = diameter / 2 = 25 meters / 2= 12.5 meters

Area of a circle = 3.14 * (12.5m)²
                        = 3.14 * 156.25 m²
Area of a circle = 490.625 m²

490.625 m² round to the nearest tenth is 490.60 m²

We round down because the number after 6 is 2. Whenever a number to be rounded off is followed by 0,1,2,3,and 4. Then, the number is rounded down.
6 0
3 years ago
I will mark brainlist if right!!!
Orlov [11]

Step-by-step explanation:

b2 =5

.....................

8 0
3 years ago
Simplify (3 + 2i)(7 − 5i).
erma4kov [3.2K]
Rule needed: i^2 = -1
Standard form a + bi

(3 + 2i)(7 - 5i) FOIL
3 * 7 = 21
3 * - 5i = - 15i
2i * 7 = 14i
2i * -5i = - 10i^2 = - 10 * -1 = 10
Putting it all back together.
31 - i
8 0
3 years ago
Read 2 more answers
Suppose a teacher gives 10 points for putting your name on a 100 point test. The minimum score on that test is 10 and the maximu
Varvara68 [4.7K]
I think it is x+10=>100
8 0
3 years ago
In the figure below, segment HK and segment IJ intersect at P, and segment HI is parallel to segment Jk. Which of the following
My name is Ann [436]

Answer:

angle PHI

Step-by-step explanation:

Using the alternate interior angle theorem, we can figure out that PHI is congruent to PKJ

4 0
2 years ago
Other questions:
  • A train arrives at a station and waits 2 min before departing. Another train arrives at the station 18 minutes later, repeating
    14·2 answers
  • Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is . The equation of line p is y
    12·1 answer
  • A soccer field measures 300 feet by 180 feet. What is the area of the field?
    14·1 answer
  • Wat is 5 plus 5 plus 20 plus 15
    11·2 answers
  • <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-12%3D-4x" id="TexFormula1" title="x^{2} -12=-4x" alt="x^{2} -12=-4x" align="abs
    5·1 answer
  • What is the slope of the line y=8
    13·1 answer
  • So I need help again so here is the question “My mom is baking cookies for a party. The recipe requires 2 eggs for every 4
    14·1 answer
  • Can someone please help me with math.
    12·1 answer
  • Evaluate the following for f(x) = 3(2)^x<br><br>1. f (2) =<br><br>2. f (-1) =<br><br>3. f (10) =​
    9·1 answer
  • The log flume ride lasts 8 minutes. This amount of time is one minute more than twice the length of time for the teacup ride.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!