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natka813 [3]
3 years ago
6

Which of the following sets does not contain any irrational numbers?

Mathematics
2 answers:
dusya [7]3 years ago
7 0

Answer:

{ 9/2 , square root of 100, 5.123}

Step-by-step explanation:

ser-zykov [4K]3 years ago
5 0

Answer:

C/ the third one

Step-by-step explanation:

Usa test prep?

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What is the area of the largest rectangle that can be inscribed in an isosceles triangle with side lengths $8$, $\sqrt{80}$, and
e-lub [12.9K]
First let's solve the general case for an isosceles triangle of base 2 and height k. If the triangle is drawn so the base is on the x-axis and the apex is on the y-axis, the equation for the line containing the right side is
  y = -k(x-1)
Then a rectangle with x-dimension w will have an area that is the product of this width and the height y = -k((w/2)-1).
  area = w(-k(w/2 -1)) = (-k/2)w² +kw
The derivative of area with respect to w will be zero where the area is a maximum:
  d(area)/dw = 0 = -kw +k
  w = 1 . . . . . . add kw and divide by k
Using the formula for area, we find
  area = 1(-k(1/2-1)) = k/2
This value is 1/2 the total area of the triangle we started with.

If the side lengths of your triangle are 8, √80, and √80, the height will be given by the Pythagorean theorem as
  h = √((√80)² - (1/2·8)²) = √(80-16) = 8
Your triangle's area will be
  triangle area = (1/2)(8)(8) = 32

The maximum area of the inscribed rectangle will be half this value,
  16 square units

4 0
3 years ago
A company sells tents in two styles, shown below. The sides and floor of each tent are made of nylon. Which tent requires less n
BartSMP [9]

Answer:  Tunnel tent.

Step-by-step explanation:

The tent which has the minimum area requires less nylon to manufacture,

Since, the area of Pup tent = Area of 3 square each having side 8 ft + Area of 2 equilateral triangle having side 8 ft

= 3 \times ( 8^2 ) + 2\times \frac{64\sqrt{ 3} }{4}

=  192+ 2\times \frac{64\sqrt{ 3} }{4}

= 192+ 32\sqrt{ 3}

= 247.425625842\approx 247.43\text { square ft}

Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft

= 8^2 + \frac{1}{2} [ 2\pi\times 4(4+8)]

= 64 + \pi\times 48

= 64 + 3.14\times 48

= 214.72\text { square ft}

Since, 214.72 < 247.43

Thus, Tunnel tent requires less nylon to manufacture.

4 0
3 years ago
Quantity of 42.1% of 375.4
Stells [14]
That is =
(42.1/100)*37.5
=(421/1000)*(375/10)
=(157875/10000)
=15.7875
=15.8
=16
8 0
3 years ago
Pls help !!<br><br> Solve and CHECK.<br><br> 1 / 4 ( p - 7) = 1/6 ( p - 3)
victus00 [196]

Answer:

the answer would be p= 15

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the volume of a cone with a radius of 2 and a height of 19?
kykrilka [37]

Remember that the cone volume formula is V=\pi r^2\frac{h}{3} , with r = radius and h = height. Using our information, we can form our equation as such: V=\pi 2^2\frac{19}{3} (I'll be keeping the answer in pi form.)

Firstly, solve the exponents:V=\pi 4\frac{19}{3}

Next, multiply 4 and 19/3 together and your answer should be (rounded to the hundreths): V = 25.33π un^3

5 0
3 years ago
Read 2 more answers
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