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k0ka [10]
3 years ago
10

The area of a rectangular coffee table is given by the trinomial x2 + 7x – 8. The table’s length is x + 8. What is the table’s w

idth?
Mathematics
1 answer:
motikmotik3 years ago
3 0

Answer:

9x - 8

Step-by-step explanation:

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How can I solve this?<br>Please use the simplest format​
IgorLugansk [536]

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

  • opposite = 4
  • adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

  = (4 × √3) / (√3 × √3)

  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}

m=\sqrt{\frac{4^2}{3}+4^2}

m=\sqrt{\frac{64}{3}}

m=\frac{8}{\sqrt{3}}

m=\frac{8\sqrt{3}}{3}

Thus,

  • m=\frac{8\sqrt{3}}{3}
  • n  = 4√3 / 3

Therefore, option D is true.

3 0
3 years ago
a ramp measures 6 feet long. if the ramp is 12 inches tall, what is the horizontal distance that it covers?
svp [43]
We know that

1 ft--------> is equals to 12 in
the ramp is 12 inches tall----------> 1 ft tall
<span>A ramp measures------------------>  6 ft long
</span>
<span>applying the Pythagorean theorem
</span>c²=a²+b²
where
c-----> 6 ft long
a----> horizontal distance
b-----> 1 ft tall

a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft

the answer is
5.92 ft

8 0
3 years ago
49v2 + 42v<br> 56v3<br> Simplify rational expression
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Answer:

Simplify each term.

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Step-by-step explanation:

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3 years ago
Cora paid 16/100 of a dollar to buy a postcard from Grand Canyon National park in Arizona. What is 65/100 written as a
Lana71 [14]

Answer:

$.65 (sixty five cents)

Step-by-step explanation:

6 0
3 years ago
Determine whether the equation y-y=y is sometimes,always, or never true?
beks73 [17]
The answer is it is yes, it is sometimes true, y can =0
6 0
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