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Darya [45]
3 years ago
5

Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same numbe

r she originally thought of. What was Amrita's number?
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

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Kenneth wants to sew a tent, including the bottom so that it is entirely enclosed. He has a rectangular piece of canvas with dim
Vadim26 [7]

Based on the calculations, the depth of tent is equal to 12 feet.

<h3>How to calculate the depth of the tent?</h3>

Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):

  • Triangle ABC is an isosceles triangle (AB = AC).
  • The front and back of the triangle are identical triangles.
  • Side AD is perpendicular side BC.
  • CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.

Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:

AC² = AD² + DC²

AD² = AC² - DC²

AD² = 5² - 3²

AD² = 25 - 9

AD² = 16

AD = √16

AD = 4 feet.

Also, we would determine the area of the triangle (ABC):

Area = 1/2 × b × h

<u>Where:</u>

  • b is the base area.
  • h is the height.

Substituting the given parameters into the formula, we have;

Area = 1/2 × 6 × 4

Area = 12 feet².

Depth of tent = 3 × height of ADC

Depth of tent = 3 × 4

Depth of tent = 12 feet.

Read more on area of triangle here: brainly.com/question/21917592

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7 0
1 year ago
Drag each tile to the correct box.
kolbaska11 [484]

Answer:

a) Distance between points A (5, 4) and B( 5, -2) is 6 unitsb) Distance between points E (-2, -1) and F( -2, -5) is 4 unitsc) Distance between points C (-4, 1) and D( 1, 1) is 5 unitsd) Distance between points G(3, -5) and H(6, -5) is 3 unitsStep-by-step explanation:We need to find the distance between each paira) A (5, 4) and B( 5, -2)

Step-by-step explanation:

8 0
2 years ago
- 3/5 + - 3/4 can somebody help plz
Gnesinka [82]
<span>- 3/5 + - 3/4
= (-12/20) = (-15/20) 
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8 0
3 years ago
Read 2 more answers
There is `1/12 foot in one inch. Does the graph show the<br> relationship between feet and inches?
KiRa [710]

Answer:

Yes

Step-by-step explanation:

Given that there is ¹/12 foot in 1 inch, this can be interpreted as being the constant of proportionality for the relationship between feet and inches. This means, for the graph to be said to represent this relationship, the constant of proportionality, which is y/x must be ¹/12.

How do we know this? Check this out using the four points given on the graph.

(12, 1) => y/x = ¹/12

(24, 2) => y/x = ²/24 = ¹/12

(36, 3) => y/x = ³/36 = ¹/12

(48, 4) => y/x = ⁴/48 = ¹/12

As we can see, the graph represents the shows a relationship between feet and inches.

5 0
2 years ago
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