3 years ago

Find two consecutive intergers that have a sum of -67

1 answer:

GaryK [48]3 years ago

6 0

Explanation: Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108

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xenn [34]

The answer is 2. 7^2 is 49.

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3 years ago

katovenus [111]

Answer:

Length of the roof line is $17.4\ feet$ . And depth of the shed is $15.07\ feet$

Step-by-step explanation:

Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at 30° angle from the front wall.

Let $h$ be the length of the roof line. And $b$ the depth of the shed.

We can see it is a right angle triangle with opposite $20.2-11.5=8.7\ feet$ (see the attachment)

Now,

$sin(30)=\frac{Opposite}{Hypotenuse}\\ \\sin(30)=\frac{8.7}{h}\\\\h=\frac{8.7}{0.5}\\\\h=17.4\ feet$

Also,

$tan(30)=\frac{Opposite}{Adjacent}\\\\tan(30)=\frac{8.7}{b}\\\\b=\frac{8.7}{tan(30)}\\\\b=\frac{8.7}{0.577}\\\\b=15.07\ feet$

So, Length of the roof line is $17.4\ feet$ . And depth of the shed is $15.07\ feet$

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