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3 years ago

Translate to a system of equations and solve.

Mathematics

2 answers:

hoa [83]3 years ago

5 0

Step-by-step explanation:

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ksjshdjdeiejo

luda_lava [24]3 years ago

5 0

Answer:

12 and 15

Step-by-step explanation:

Let the numbers be called x and y. We know from the first sentence that:

x + y = 27.

From the second sentence we know that x + 3 = y. (In this problem it does not matter which is x and which is y.)

Substituting in x + 3 into the first equation, we have

x + x + 3 = 27

2x + 3 = 27

2x + 3 - 3 = 27 - 3

2x = 24

x = 12

y = x+ 3 = 15

Check: does x + y = 27? Yes, 12 + 15 = 27

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Vaselesa [24]

Answer:

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Step-by-step explanation:

Given the fraction

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Read 2 more answers

In ΔUVW, w = 44 cm, u = 83 cm and ∠V=141°. Find the area of ΔUVW, to the nearest square centimeter.

Tema [17]

Answer:

$Area \approx 1149\ cm^2$

Step-by-step explanation:

<u>Given that:</u>

ΔUVW,

Side w = 44 cm, (It is the side opposite to $\angle W$ )

Side u = 83 cm (It is the side opposite to $\angle U$ )

and ∠V=141°

Please refer to the attached image with labeling of the triangle with the dimensions given.

Area of a triangle with two sides given and angle between the two sides can be formulated as:

$A = \dfrac{1}{2}\times a\times b\times sinC$

Where a and b are the two sides and

$\angle C$ is the angle between the sides a and b

Here we have a = w = 44cm

b = u = 44cm

and ∠C= ∠V=141

Putting the values to find the area:

$A = \dfrac{1}{2}\times 44\times 83\times sin141\\\Rightarrow A = \dfrac{1}{2} \times 3652 \times sin141\\\Rightarrow A =1826 \times 0.629\\\Rightarrow A \approx 1149\ cm^2$

So, the <em>area </em>of given triangle to the nearest square centimetre is:

$Area \approx 1149\ cm^2$

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4 years ago