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natita [175]
3 years ago
6

The figure shows a parallelogram inside a rectangle outline:

Mathematics
1 answer:
leva [86]3 years ago
8 0

Answer:

ディクビッチを吸う?

Step-by-step explanation:

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A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards
emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

187 = w^{2} +6w

w^{2} +6w-187 =0,

Using the quadratic formula w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a} where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}

w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}

We have two options: w=\frac{-6+28}{2}=\frac{22}{2}=11  yards

Or

w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length l =\frac{187}{11}=17 yards

6 0
3 years ago
What are the possible numbers of positive, negative, and complex zeros of f(x) = x6 + x5 + x4 + 4x3 − 12x2 + 12?
gladu [14]
As per Descartes Theorem, a polynomial of degree n (n is the highest exponent of a polynomial) has n roots (or number of zeros) be it positive, negative, real or complex.

in f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12, the highest degree is 6, then it has 
a total of 6 zeros, positive, negative, real or complex.
5 0
3 years ago
Read 2 more answers
If a = 5^x, b = 5^y and a^y×b^x = 25 then prove that: xy =1​
avanturin [10]

a =  {5}^{x}  \\ b =  {5}^{y}  \\  {a}^{y}  \times  {b}^{y}  = 25 \\ prove \: ( {5}^{x} )^{y}  \times ( {5}^{y} ) ^{x}  = 25 \\  {5}^{xy}  \times  {5}^{yx}  = {5}^{2} \\  {5 }^{xy + yx}  = 5^{2}  \\ 5^{2xy}  =  {5}^{2} \\ is \:  \: 2xy = 2 \\ xy =  \frac{2}{2}  \\ xy = 1

3 0
3 years ago
What is the probability that the sun will not rise Tomorrow plz explain?
Luba_88 [7]

Answer:

the sun may rise or will not rise , so there are 2 chances

Step-by-step explanation:

so the probability is 1/2=0.5

6 0
3 years ago
URGENT DUE BY 3:00!
lys-0071 [83]
You can put the 2 circles together to get 1 circle
so basically we just find

area of rectangle taht is 8ft by 18ft
and area of ciecle with disameter of 8


area rectangle=18 times 8=144 square feet

area of ciecle=pir^2
d/2=r, 8/2=4
area=pi4^2=16pi, pi=3.14 so then
50.24


toal is rectangle+circles=144+50.24=194.24 suare feet
rounded
194 square feet
8 0
3 years ago
Read 2 more answers
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