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Alecsey [184]
3 years ago
5

How many dominoes are in there??

Mathematics
2 answers:
Vlad1618 [11]3 years ago
4 0

Answer:

150

Step-by-step explanation:

Lyrx [107]3 years ago
4 0
100 dominoes are in there
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There is a rectangle ABCD, with sides AB = CD = 32, and sides and BC = DA = 24. The rectangle is rotated 90° clockwise about C,
Sphinxa [80]

Answer

given,

side of rectangle, AB = CD = 32

                              BC = DA = 24

rectangle is rotated 90° clockwise about C.

then rotated 90° clockwise about D.

Path traveled by the point A for first rotation will be in circle with radius AC.

   D_1 = \dfrac{\theta_1}{360^0}\times \pi \times {AC}^2

      AC = \sqrt{24^2+32^2}

             AC = 40

             θ₁ = 90°

   D_1 = \dfrac{90^0}{360^0}\times \pi \times {40}^2

         D₁ = 1256.64

For the second rotation Point A will move in circular path with radius of AD

   D_2 = \dfrac{\theta_2}{360^0}\pi {AD}^2

             AD = 24

             θ₁ = 90°

   D_2 = \dfrac{90^0}{360^0}\times \pi \times {24}^2

         D₂ = 452.39

total path traveled by the point A

   D = D₁ + D₂

   D = 1256.64 + 452.39

  D = 1709.03

3 0
3 years ago
Kanye wants to make a triangular flower bed using logs with the lengths 3 ft, 4 ft, and 8ft. Can Kanye form a triangle with the
valina [46]
Way 1:
a triangle with sides 3,4,5 will make a triangle. because this isn't 3,4,5 triangle it wont work.



way 2:
By using Heron's formula you can find the area of the flower bed.
<span>s=(a+b+c) ÷2     
</span><span>Area =√s(s-a)(s-b)(s-c)
</span>so, 3+4+8= 15
15÷2 =7.5
√7.5(7.5-3)(7.5-4)(<span>7.5-8)
</span>Now because 7.5-8 gives you a negative number and you can't have a negative number under a square root unless you want to use an imaginary number, it won't form a triangle.
5 0
3 years ago
5x+6y=18and 18x-15y=36<br> parallel or perpendicular
Katen [24]

Answer:

<u>They</u><u> </u><u>are</u><u> </u><u>neither</u><u> </u><u>parallel</u><u> </u><u>nor</u><u> </u><u>perpendicular</u><u>,</u><u> </u><u>since</u><u> </u><u>slope</u><u> </u><u>are</u><u> </u><u>different</u><u> </u><u>and</u><u> </u><u>not</u><u> </u><u>related</u><u> </u><u>by</u><u> </u><u>any</u><u> </u><u>equation</u>

Step-by-step explanation:

First arrange them according to general equation:

y = mx + c

<u>f</u><u>o</u><u>r</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>f</u><u>i</u><u>r</u><u>s</u><u>t</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u> :

5x + 6y = 18 \\ 6y =  - 5x + 18 \\ { \boxed{y =  -  \frac{5}{6} x + 3}}

<u>f</u><u>o</u><u>r</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>s</u><u>e</u><u>c</u><u>o</u><u>n</u><u>d</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u> :

18x - 15y = 36 \\ 15y = 18x - 36 \\ y =  \frac{18}{15} x -   \frac{12}{5}

8 0
3 years ago
A sphere has a radius of 4 inches. What is the surface area of the smallest cube that could circumscribe the sphere?
vovikov84 [41]

Answer:

SA=384\ in^2

Step-by-step explanation:

we know that

The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere

In this problem

The radius of the sphere is r=4\ in

The diameter of the sphere is two times the radius

D=2r=2(4)=8\ in

so

The length side of the cube is

b=8\ in

Remember that

The surface area of a cube is equal to the area of its six faces

so

SA=6b^2

substitute the value of b

SA=6(8)^2

SA=384\ in^2

6 0
3 years ago
A store pays $20 for a set of headphones. The store sells the set of headphones for $70. Your classmate says that the markup is
Natalija [7]
Yes. your classmate is correct
4 0
3 years ago
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