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madreJ [45]
3 years ago
6

..............................

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
3 0

Answer:

403 + 40\sqrt{3}~~ ft^2

Step-by-step explanation:

(20+\sqrt{3})(20+\sqrt{3}) = 20^2 + 2\cdot 20 \cdot \sqrt{3} + \sqrt{3}^2 = 400 + 40\sqrt{3} + 3 = 403 + 40\sqrt{3}

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PLEASE HELP!! SHOW WORK! &lt;3<br> Find the area of this figure. Dimensions are in meters.
densk [106]

Answer:

  2√46 + 25π/4 ≈ 33.2 . . . . m²

Step-by-step explanation:

The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...

  h = √((5√2)² - 2²) = √46

Then the area of the triangle shown is ...

  A = (1/2)bh = (1/2)(4)(√46)

  A = 2√46

__

The area of the semicircle is given by the formula ...

  A = (1/2)πr²

Filling in the radius shown, the area is computed as ...

  A = (1/2)π(5√2/2)² = 25π/4

So, the total area of the figure is ...

  total area = triangle area + semicircle area

  = 2√46 + 25π/4 . . . square meters

  ≈ 33.2 . . . square meters

3 0
3 years ago
Hilary's Horse Hideaway is buying dirt to fill their circular training area. The training circle is 28 feet across. What is the
AnnZ [28]

Answer:

A = 615.75

cost = $107.08

Step-by-step explanation:

the training area = (28/2)^2*pi

training area = 615.75 square feet

615.75/5.75 = 107.08

$107.08

5 0
2 years ago
How do I describe the real zeroes of this function using Descartes's Rule of Signs?
Serhud [2]
The number of positive roots is the number of changes of signs there are, then decrease by 2 each time and stop when you get to 1 or 0

negative roots, sub every x with -x and reevaluate, count change of signs
decrease by 2 each time and stop when you get to 1 or 0

y=+2x⁵-x⁴-2x³+4x²+x-2
+,-,-,+,+,-
 1    2  3

3 or 1 positive roots

replace x with -x ( baically flip all signs of odd powerd numbers)

y=-2x⁵-x⁴+2x³+4x²-x-2
   -,-,+,+,-,-
     1    2

2 or 0 negative roots



3 or 1 positive roots
2 or 0 negative roots
2nd option is answer

4 0
3 years ago
How many groups of 2/3 are in 3/5
polet [3.4K]
For example, the three 2s.
in the box show that there are 3 groups of 2 objects each.You can write the multiplication equation 3 2 = 6 to show that 3 groups of 2 equals 6 in all.You can also write the division equation 6 2 = 3 to show that 6 divided into groups of 2 equals 3 groups.
4 0
3 years ago
Read 2 more answers
Plz plz plz plz help me​
Basile [38]

Answer:

  • 240 plants

Step-by-step explanation:

<u>Find the area of the garden:</u>

  • A = 1/2bh
  • A = 1/2(8)(15) = 60 m²

<u>Number of plants:</u>

  • 60*4 = 240 plants
7 0
3 years ago
Read 2 more answers
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