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3 years ago

The

Mathematics

1 answer:

stiv31 [10]3 years ago

6 0

Answer:

x = -3. Y = 12

Step-by-step explanation:

the answer is D

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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago

Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. Wh

Contact [7]

2 adults = 5.50 x 2 = 11
3 students = 4.25 x 3 = 12.75

Total = $23.75

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3 years ago

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When mixed together in varying degrees, the three primary additive colors, consisting of ________, can produce all the other col

timofeeve [1]

Answer:

Red, Blue, Yellow

Step-by-step explanation:

The three primary colors are red, blue, and yellow.

4 0

2 years ago

Convert from radians to degrees -7pi/2

Elza [17]

Π=180⁰
-7π/2=(-7*180)/2=-7*90=-630⁰
-7π/2= -630⁰

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3 years ago

How do you write 4/5 in decimal form(Money form)

Oliga [24]

.80 cent if you wright it in percent its 80%

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3 years ago

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