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artcher [175]
3 years ago
15

34.1 ÷ 5.5 i need an explanation on this math problem how to break it down

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Nevermind I did this wrong, forget that I had a answer.

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The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec
igomit [66]

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 m^{2}

From there

x * (2x - 4) = 70

2x^{2} - 4x = 70

2x^{2} - 4x - 70 = 0

x^{2} - 2x - 35 = 0

Now we have a quadratic equation, which is  ax^{2} + bx + c = 0, where a \neq 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = -2^{2}  - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are  \frac{- b - \sqrt{D}  }{2a} and \frac{- b + \sqrt{D}  }{2a}

x_{1} =  \frac{- (-2) - \sqrt{144} }{2} = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

x_{2} = \frac{- (-2) + \sqrt{144} }{2} = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

8 0
3 years ago
Triangles and angles<br> Pls help
AleksandrR [38]

Answer:

The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.

So we have:

32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)

32 + 2x = 180 (combine the 2 x's together)

2x = 148 (subtract a 32 from both sides)

x = 74

Let me know if this helps!

4 0
3 years ago
Last Question plz<br> Need help
patriot [66]

Answer:

Im going to answer your question in the next note.

5 0
3 years ago
What is the missing angle in this quadrilateral?
kobusy [5.1K]

Answer:

108

Step-by-step explanation:

65+110+87=252

360(Total angle of quadrilaterals)-252=108

7 0
3 years ago
Read 2 more answers
Mr. Davis divided his money in the ratio 4:6 between James and Brett. James got the smaller amount of $540. How much did Brett r
sattari [20]

Answer:

$810

LMK if you need an explanation.

3 0
2 years ago
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