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musickatia [10]
2 years ago
11

The plan of a terrace is shown at right. The scale is 2 inches : 6 feet. What are the length and width of the terrace? Find the

terrace’s area.
Can someone answer this and explain it?

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
3 0

The length and width of the terrace are 15 feet and 6 feet respectively.

The area of the terrace is 90 ft²

The scale of the plan is 2 inches : 6 feet.

Therefore, 2inches represents 6 feet.

According to the drawing;

  • length = 5 inches
  • width = 2 inches

Therefore,

  • length of the terrace = 5 × 6 / 2 = 30 / 2 = 15 feet
  • width of the terrace = 2 × 6 / 2 = 12 / 2 = 6 feet

The area can be found as follows:

<h3>Area of a rectangle:</h3>
  • area = lw

where

l = length

w = width

Therefore,

area = 15 × 6 = 90 feet²

learn more on scale here: brainly.com/question/147532

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Marizza181 [45]

Answer:

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Answer:

See the explanation.

Step-by-step explanation:

We are given the function f(x) = x² + 2x - 5

Zeros :

If f(x) = 0 i.e. x² + 2x - 5 = 0

The left hand side can not be factorized. Hence, use Sridhar Acharya formula and  

x= \frac{-2+\sqrt{2^{2}-4\times(-5)\times1 } }{2} and  

x= \frac{-2-\sqrt{2^{2}-4\times(-5)\times1 } }{2}

⇒ x = -3.45 and 1.45

Y- intercept :

Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.

Maximum point :

Not defined

Minimum point:  

The equation can be expressed as (x + 1)² = (y + 5)

This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis

Therefore, the minimum point is (-1,-5)

Domain :  

x can be any real number

Range:  

f(x) ≥ - 6

Interval of increase:

Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.

Therefore, interval of increase is +∞ > x > -1

Interval of decrease:

-∞ < x < -1

End behavior :  

f(x) = x^{2} +2x-5 =x^{2}  (1+\frac{2}{x} -\frac{5}{x^{2} } )

So, as x tends to +∞ , then f(x) tends to +∞

And as x tends to -∞, then f(x) tends to +∞. (Answer)

7 0
3 years ago
Help! problem:<br>5-x=11+x
snow_tiger [21]
The answer is x=-3

5-x=11+x
-11  -11             First subtract 11
-6-x=x          
+x  +x                Now add x to both sides
-6=2x 
~2 ~2                 Finally divide by 2
-3=x                   Your answer is x=-3

7 0
3 years ago
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RoseWind [281]

It's reflection; it's not translation

so answer is the last one.

d. No; it is one reflection after another with respect to the two parallel lines.

hope it helps

7 0
3 years ago
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Hitman42 [59]

Answer:

b^2-c^2-10b+10c

Step-by-step explanation:

b^2-c^2-10(b-c)

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