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
juin [17]
3 years ago
9

The floor of a hall has an area of 48 dm.The floor is to be tiled by triangular tiles.of sides 20 cm,30 cm and 40 cm. Find the t

otal cost of tiles if cost of each tile is Rs.200.
Mathematics
1 answer:
vovangra [49]3 years ago
7 0
The triangle is an obtuse triangle. No sides are equal.
convert cm to dm

1 dm = 10 cm

side a: 20 cm ⇒ 20cm * 1dm/10cm = 20dm/10 = 2 dm
side b: 30 cm ⇒ 30cm * 1dm/10cm = 30dm/10 = 3 dm
side c: 40 cm ⇒ 40cm * 1dm/10cm = 40dm/10 = 4 dm

We need to get the area of a triangle, but first we need to solve for its height using Heron's formula

s = (a+b+c)/2 = (2+3+4)/2 = 9/2 = 4.5
<span>Area = </span>√<span>(s(s-a)(s-b)(s-c)
</span>h3/2 = √4.5(4.5-2)(4.5-3)(4.5-4)
h3/2 = √4.5(2.5)(1.5)(0.5)
h3/2 = √8.44
h3/2 = 2.91
h = (2.91*2)/3
h = 1.94

A = hb/2 = (1.94*3)/2 = 5.82/2 = 2.91 dm²

48 dm² / 2.91dm² = 16.5 or 17 tiles needed

17 x Rs200 = Rs3,400 is the total cost
You might be interested in
Distribute and Combine Like Terms<br><br> 11(2t - 4) + 6t - 6
Nutka1998 [239]
It’s actually 28t - 10

11(2t-4)+6t-6
22t-4+6t-6 add 22t and 6t
28t-4-6 combine -4 & -6
28t-10
5 0
3 years ago
Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less
Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0
2 years ago
A teacher has 36 students who were randomly assigned to 6 rows of 6 desks. She wants to survey the students
ivanzaharov [21]

Answer:

A

Step-by-step explanation:

Edge 2021

5 0
3 years ago
Which is an asymptofe of the graph the function y=cot(x-2π/3)
Shalnov [3]

Hello.


C) x=4π/3


The variable x in the cotangent argument has a unit coefficient, so the period is π, just as it is in the parent function cot(x).


Can you graph y = cot(x)? By subtracting the constant π/6 from the argument, that graph is translated to the right by π/6. Just as with cot(x), it is decreasing everywhere.


Have a nice day



5 0
3 years ago
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
Korvikt [17]

Answer:

3520.176 feet per minute

Step-by-step explanation:

First, we must convert 40 miles per hour (mph) to miles per minute (mpm):

40 mph = 40 miles/hour / 60 minutes/hour = 0.6667 miles per minute

Next, we convert miles per minute to feet per minute by multiplying 5280 ft per mile:

0.6667 mpm = 0.6667 miles/minute * 5280 ft/mile = 3520.176 feet per minute

8 0
2 years ago
Other questions:
  • there are 12 teams in the jayhook hockey league each team plays every other team twice per season, once at home and once away. L
    9·1 answer
  • brines kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as brinns pantry. If the pantry is 3 fe
    7·1 answer
  • He has a total of $45 to buy t tickets, each tickets cost $5
    9·1 answer
  • Choose the graph that correctly corresponds to the equation y=4
    5·2 answers
  • a bag contains 5 red cards numbered 1-5 and 5 white cards numbered 1-5. You choose a card at random. Find the possible outcomes
    9·1 answer
  • Sarah has $4.50 in dimes and quarters. She has three more dimes than quarters. How many quarters does she have?
    9·1 answer
  • Solve the equation. Check your solution.
    12·1 answer
  • Please help me ASAP I need it done by 2:30 please help I beg you
    14·1 answer
  • How many many times 144 goes in to 12
    9·2 answers
  • Select the correct answer from the drop-down menu.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!