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DochEvi [55]
3 years ago
10

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104

represents the situation, where x represents the width of the rectangle. (x + 5)x = 104 x2 + 5x – 104 = 0 Determine the solutions of the equation. What solution makes sense for the situation? x =
Mathematics
2 answers:
Art [367]3 years ago
7 0

Answer:

The answer is 8.

Step-by-step explanation:

We need to use the quadratic formula, that is ax2+bx+c=0

Where

x=\frac{-b +/- \sqrt{b^{2}-4*a*c } }{2a}

For the given equation x2+5x-104=0 we have

a=1, b=5, c= -104

If you solve that, we will have x=-13. x=8, two answers,

The first one, by being negative does not have physical sense (there are no negatives quantities when you measure the length of something)

So we use the anwser x=8

brilliants [131]3 years ago
4 0

Answer:

x = 8

width = 8 inches

length = 13 inches

Step-by-step explanation:

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djyliett [7]

this is the answer to this question - Two weather tracking stations are on the equator 146 miles apart. A weather balloon is located on a bearing of N 35°E from the western station and on a bearing of N 23°E from the eastern station. How far is the balloon from the western station?

Answer:

Reasons:

The given parameters are;

Distance between the two stations = 146 miles

Location of the weather balloon from the Western station = N35°E

Location of the weather balloon from the Eastern station = N23°E

The location of the station = On the equator

Required:

The distance of the balloon from the Western station

Solution:

- The angle formed between the horizontal, and the line from the Western station

to the balloon = 90° - 35° = 55°

- The angle formed between the horizontal, and the line from the Eastern station

to the balloon = 90° + 23° = 113°

The angle at the vertex of the triangle formed by the balloon and the two stations is 180° - (55 + 113)° = 12°

By sine rule,

Distance from balloon to western station = 146/sin(12 dg) = Distance from balloon to western station/sin(113 dg)

Therefore;

Distance from balloon to western station = 146/sin(12 dg) x sin(113 dg) ~ 646.4

Step-by-step explanation:

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2 years ago
On the attached drawing what is the name for Angle LHJ? Obtuse, acute, complementary or right?
Natasha2012 [34]

Answer: Right (Last option)

Step-by-step explanation:

As you can see in the figure, the parallel lines AD and GJ are intersected  by two lines.

The line EL intersects the parallel lines and there are two angles that are formed by this intersections which are located on the exterior of AD and GJ, but  on opposite sides of EL, (these angles are called "Alternate exterior angles" and they are congruent), which are:

 ∠LHJ and ∠EBA

You can observe that the angle ∠EBA is indicated with a square. This means that the measure of that angle is 90° (Right angle).

Therefore, if ∠EBA=90°, then ∠LHJ =90°

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3 years ago
Read 2 more answers
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