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Aloiza [94]
3 years ago
7

Dr. Graves placed the Venn Diagram and list of numbers on the board.

Mathematics
1 answer:
Yuri [45]3 years ago
3 0

Answer:

  • J

Step-by-step explanation:

<u>List of numbers on the board:</u>

  • -0.24, 5/17, 287, 1.3, -91, -2 2/5

We can split the numbers as following

<u>Rational numbers: </u>

  • All listed

<u>Integers: </u>

  • 287 and -91

<u>Whole numbers: </u>

  • 287

Correct diagram is J

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A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the
Lostsunrise [7]

Answer: 5.7\ cm

Step-by-step explanation:

Given

Rectangle has an area of 19.38\ cm^2

Suppose rectangle length and width are l and w

If each side is increased by 1.50\ cm

Area becomes A_2=35.28\ cm^2

We can write

\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)

Substitute the value of width from (ii) in equation (i)

\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7

Width corresponding to these lengths

w=5.7,\ 3.4

Therfore, we can write the length of the longer side is 5.7\ cm

8 0
3 years ago
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Leviafan [203]

Answer:

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Step-by-step explanation:

4 0
3 years ago
H=-5 and w=2, work out the value of 4h-3w
olganol [36]
You would simply have to plug in, or substitute, the given values in the equations.

So, H=-5, W=2 and the problem is 4h-3w

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3 0
3 years ago
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The coordinates of the vertices of quadrilateral JKLM are J(-3,2), K(4,-1), L(2,-5) and M(-5,-2).
pashok25 [27]
<span>Slope of JK=((-1)-2)/(4-(-3)=-3/7 Slope of KL=((-5)-(-1)/(2-4=2 Slope of LM=((-2)-(-5))/(-5-2)=-3/7 Slope of MJ=(2-(-2))/((-3)-(-5))= 2 JK is parallel to LM and KL is parallel to MJ. Therefore JKLM is a parallelogram.</span>
5 0
3 years ago
Help find the value of x pls. No links! Y
Citrus2011 [14]

=>7x+9=9x+5

=>7x+9-9=9x+5-9

=>7x=9x-4

=>7x-9x=9x-4-9x

=>-2x=-4

=>x=2

=>7x+9=7×2+9=23

=>9x+5=9×2+5=23

4 0
3 years ago
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