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marusya05 [52]
3 years ago
11

5

Mathematics
2 answers:
Assoli18 [71]3 years ago
6 0

Answer:

2.9

Step-by-step explanation:

x+3.2=6.1

x=6.1-3.2

x=2.9

lara31 [8.8K]3 years ago
6 0
X+3.2=6.1
6.1
-3.2
——-
2.9
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What are the diameters of the painting?<br> Easy!!!
zalisa [80]

x = 10.22 in

Solution:

Width of the figure = x in

Length of the figure = (2x + 5) in

Area of the figure = 260 in²

<u>To find the value of x:</u>

<em>Area of the figure = length × width</em>

length × width = 260

(2x + 5) × x = 260

2x^2+5x=260

Subtract 260 from both sides of the equation.

2x^2+5x-260=0

Factor the above quadratic expression.

Quadratic equation formula:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

$x=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 2(-260)}}{2 \cdot 2}

$x=\frac{-5 \pm \sqrt{2105}}{4}

$x=\frac{-5+\sqrt{2105}}{4}, \  x=\frac{-5-\sqrt{2105}}{4}

x = 10.22,   x = –12.72006

Dimension of the figure cannot be measured in negative terms.

Hence x = 10.22 in.

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3 years ago
On a game show, Elena is given the choice of three doors: Behind one door is the Grand Prize; behind the others, consolation pri
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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Find x and y, given that line WS and line VT are parallel. Show all work!
bulgar [2K]

In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.

\frac{VT}{WS} =\frac{VU}{WU}=\frac{TU}{SU}..........(Equation 1)

Checking the diagram given, we see that:

VT=y, WS=22, VU=8, ST=x-2

WU=WV+VU=12+8=20

TU=5

SU=ST+TU=(x-2)+5=x+3

Thus, substituting the required values in (Equation 1) we get:

\frac{y}{22}=\frac{8}{20}=\frac{5}{x+3}

Now, as can be clearly seen, to find y we will use the first two ratios as:

\frac{y}{22}=\frac{8}{20}

y=\frac{8\times 22}{20}=8.8

In a similar manner, to find the value of x we can use the last two ratios:

\frac{8}{20}=\frac{5}{x+3}

After cross multiplication we get:

5\times 20=8(x+3)

Which can be simplified as:

x+3=\frac{100}{8} =12.5

Thus, x=12.5-3=9.5

Therefore, the required answer is:

x=9.5 and y=8.8



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