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hjlf
3 years ago
12

An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.

The distance between the tallest points of the two pyramids is 2 centimeters.
Mathematics
1 answer:
lawyer [7]3 years ago
3 0

Answer:

7.5cm²

Complete question:What is the surface area of the 8-sided figure?

Step-by-step explanation:

Consider the half of the 8-sided die i.e the pyramid ABCDE:

As the base is 6 of the perimeter, so each side of the base is 6/4=3/2

Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.

Considering the right triangle EOM:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is 

\sqrt{1+ ( \frac{3}{4} )^{2} }=  \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4}   (cm)

5. So side EBC has area  

\frac{1}{2}BC*EM=  \frac{1}{2}* \frac{3}{2}* \frac{5}{4}= \frac{15}{16}

6. The total area is 8*Area(EBC)=8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )

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Firdavs [7]
4y - (3+y) is standard form is: 3y - 3
4 0
3 years ago
Given that the center of a circle is C(-10,-7) and the point S(4,4) lies on the circle's edge calculate the circle's radius to t
fredd [130]

Answer:

r\approx 17.80

Step-by-step explanation:

<u>Equation of the Circle</u>

A circle can be completely defined knowing its center and radius. The radius is the distance from the center to any point in its edge. Since we know the center of the circle is (-10,-7) and one point in its edge is (4,4), we calculate the distance between those points:

r=\sqrt{(4-(-10))^2+(4-(-7))^2}

r=\sqrt{14^2+11^2}

r=\sqrt{196+121}=\sqrt{317}

\boxed{r\approx 17.80}

8 0
3 years ago
Can someone plz help me it is timed I will give Brainliest IF IT IS CORRECT
Artyom0805 [142]

Answer:

C. 1.15<em>x</em> because adding 15% to the cost of the haircut is the same as multiplying the cost by 1.15.

Step-by-step explanation:

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7 0
3 years ago
What is the area of this figure ?
PIT_PIT [208]
<span> Remember that what you must do for this case is to calculate the area of the parallelogram and add it to the area of the rectangle.
</span>  Palelogram area:
  Knowing the base and the height, the area of the parallelogram is calculated by its formula: 
  A1 = b * h
  We have then
  b = root ((- 4 - (- 10)) ^ 2+ (2-2) ^ 2) = 6
  h = root ((- 7 - (- 7)) ^ 2+ (3-2) ^ 2) = 1
  A1 = (6) * (1) = 6 units ^ 2
  Rectangle area
  A2 = L * W
   We have then:
  L = root ((1 - (- 2)) ^ 2 + (- 3 - (- 4)) ^ 2) = 3.16227766
  W = root ((- 4 - (- 2)) ^ 2+ (2 - (- 4)) ^ 2) = 6.32455532
  A2 = (3.16227766) * (6.32455532)
  A2 = 20 units ^ 2
  The total area is the sum of both ares:
  A = A1 + A2
  A = 6 + 20
  A = 26 units ^ 2
  Answer:
  the area of this figure
  A = 26 units ^ 2


5 0
3 years ago
What's 7 divided by 3
NeX [460]
7 divided by 3 is 21

Hope I helped! ( Smiles )
4 0
3 years ago
Read 2 more answers
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