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mckenzieandjesus

  • one year ago

A balloon has a circumference of 28 in. Use the circumference to approximate the surface area of the balloon to the nearest square inch. 784 in2 2,463 in2 998 in2 250 in2

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  1. mckenzieandjesus
    • one year ago
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    What is the slant height of the pyramid to the nearest tenth? 19.0 mm 12.5 mm 15.5 mm 13.9 mm

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  2. mckenzieandjesus
    • one year ago
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    Using Euler’s Formula (F + V = E + 2), find the number of faces. Vertices: 16 Edges: 37 Faces: ?

  3. anonymous
    • one year ago
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    F=23 i think

  4. anonymous
    • one year ago
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    for the Euler's formula one

  5. mckenzieandjesus
    • one year ago
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    ok thanks!

  6. mckenzieandjesus
    • one year ago
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    @jim_thompson5910

  7. Vocaloid
    • one year ago
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    for the balloon problem circumference = 2*pi*r where r is the radius of the balloon we can solve for r by substituting 28 for the circumference 28 = 2*pi*r r = 14/pi surface area of a sphere = 4*pi*r^2 since r = 14/pi, we can plug in 14/pi into the surface area equation and solve for surface area

  8. mckenzieandjesus
    • one year ago
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    so do i do 2*3.14*14?

  9. Vocaloid
    • one year ago
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    hm, not quite, we want to solve for r first 28 = 2*pi*r we divide both sides by 2 pi, giving us 14/pi = r then we use this value of r for the surface area equation

  10. mckenzieandjesus
    • one year ago
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    i got 87 23/25?

  11. Vocaloid
    • one year ago
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    |dw:1435442689088:dw|

  12. Vocaloid
    • one year ago
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    can you show me how you got that answer?

  13. mckenzieandjesus
    • one year ago
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    14/3.14 = 4 72/157

  14. mckenzieandjesus
    • one year ago
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    is that right?

  15. Vocaloid
    • one year ago
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    well, yes, that would be the value of r (let's convert to decimals in this case, it'll make it a bit easier for us later on) r = 14/3.14 = 4.46

  16. mckenzieandjesus
    • one year ago
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    ok

  17. Vocaloid
    • one year ago
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    then we can use this value of r for the surface area equation surface area = 4*pi*r^2 = 4*3.14*(4.46)^2 = 249.8, which rounds to 250

  18. mckenzieandjesus
    • one year ago
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    oh okay thanks !

  19. mckenzieandjesus
    • one year ago
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    could u please help me with my second question above?

  20. mckenzieandjesus
    • one year ago
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    im not sure on this one either :/ What is the surface area of the pyramid to the nearest whole number? 30 cm2 25 cm2 60 cm2 85 cm2

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  21. Vocaloid
    • one year ago
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    let's focus on the slant height one first (the one you posted earlier) the height of the pyramid is 12 and the its base is a square with side lengths of 7 if you look at the triangle inside the pyramid, you can see that it's a right triangle with legs 12 and 3.5 (since 7/2 = 3.5) the slant height (the hypotenuse) can be found using the Pythagorean theorem

  22. Vocaloid
    • one year ago
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    |dw:1435443114081:dw|

  23. mckenzieandjesus
    • one year ago
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    whats the pythagorean theorem?

  24. Vocaloid
    • one year ago
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    |dw:1435443244024:dw|

  25. mckenzieandjesus
    • one year ago
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    oh a^2+b^2=c^2?

  26. Vocaloid
    • one year ago
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    yeah

  27. mckenzieandjesus
    • one year ago
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    i got 156 1/4

  28. Vocaloid
    • one year ago
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    remember to take the square root at the end

  29. mckenzieandjesus
    • one year ago
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    244414 1/16?

  30. Vocaloid
    • one year ago
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    square root, not square

  31. Vocaloid
    • one year ago
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    |dw:1435443406104:dw|

  32. mckenzieandjesus
    • one year ago
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    \[\sqrt{?} this on a an\]

  33. Vocaloid
    • one year ago
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    yes

  34. mckenzieandjesus
    • one year ago
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    on a and b and c?

  35. Vocaloid
    • one year ago
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    the pythagorean theorem tells us (slant height)^2 = 12^2 + 3.5^2 = 156.25 to find slant height, we take the square root of both sides

  36. mckenzieandjesus
    • one year ago
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    220.9708691?

  37. Vocaloid
    • one year ago
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    square root slant height^2 = 156.25 slant height = square root of 156.25

  38. mckenzieandjesus
    • one year ago
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    12 1/2?

  39. Vocaloid
    • one year ago
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    yup, you got it, do you understand what we did?

  40. mckenzieandjesus
    • one year ago
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    yes! thank you! and now can we do my next question ?

  41. Vocaloid
    • one year ago
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    alright, it wants the surface area of the pyramid, which means we need to find the area of each of the 4 triangular faces + the area of the base each of the triangles has base = 5 and height = 6 the area of a triangle can be found using the formula: area = (1/2)(base)(height) so the combined area of all the triangles is 4*(1/2)(base)(height) next, we want to find the area of the base, which is a square with sides 5. the area of a square can be found using area = s^2 to find the final answer, add the area of the 4 triangles + area of the square

  42. Vocaloid
    • one year ago
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    so putting everything together base = 5 height = 6 surface area = 4*(1/2)(base)(height) + (base)^2

  43. mckenzieandjesus
    • one year ago
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    160?

  44. mckenzieandjesus
    • one year ago
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    but thats not on my answers

  45. Vocaloid
    • one year ago
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    please check your calculations again

  46. Vocaloid
    • one year ago
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    surface area = 4*(1/2)(6)(5) + (5)^2

  47. mckenzieandjesus
    • one year ago
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    85? so i was right then because i already have that answer checked?

  48. Vocaloid
    • one year ago
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    yup, 85 is what I got too

  49. mckenzieandjesus
    • one year ago
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    What is the surface area of the right prism? 540 in2 486 in2 648 in2 972 in2

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  50. mckenzieandjesus
    • one year ago
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    thanks!

  51. Vocaloid
    • one year ago
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    surface area of a prism = 2*L*W + 2*W*H + 2*H*L H = 18 W = 6 L = 9

  52. Vocaloid
    • one year ago
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    *rectangular prism

  53. mckenzieandjesus
    • one year ago
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    648(:

  54. mckenzieandjesus
    • one year ago
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    What is the volume of the cone to the nearest tenth? 829.4 m3 1,520.5 m3 552.9 m3 1,244.1 m3

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  55. mckenzieandjesus
    • one year ago
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    i think its a

  56. Vocaloid
    • one year ago
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    (assuming that the radius is 11, kinda ambiguous from the diagram) volume of cone = (1/3)(pi)*h*(r^2) r = 11 h = 12

  57. mckenzieandjesus
    • one year ago
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    What is the surface area of the pyramid to the nearest whole number? 96 cm2 132 cm2 72 cm2 156 cm2

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  58. Vocaloid
    • one year ago
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    a is incorrect, please try my formula

  59. mckenzieandjesus
    • one year ago
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    i got 1519 19/25

  60. Vocaloid
    • one year ago
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    which is closest to answer b (probably because of rounding)

  61. mckenzieandjesus
    • one year ago
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    19/25 as a decimal is 0.760

  62. mckenzieandjesus
    • one year ago
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    thanku

  63. Vocaloid
    • one year ago
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    and for the last one, it's asking for the surface area of the pyramid. the last problem you posted is very similar to the third problem you posted (surface area of a pyramid), just with different numbers. perhaps you look at my work and solve it on your own? :)

  64. Vocaloid
    • one year ago
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    helpful reminder: surface area of pyramid = area of 4 triangles + area of square base

  65. mckenzieandjesus
    • one year ago
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    so (1/3)*3.14*8*(6^2) = 301 11/25

  66. Vocaloid
    • one year ago
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    wrong formula. area of triangle = (1/2)(base)(height) area of square = (base)^2

  67. mckenzieandjesus
    • one year ago
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    so 24 and 36

  68. Vocaloid
    • one year ago
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    right, and there are 4 triangles and 1 square so surface area = 4*area of triangle + area of squrae

  69. mckenzieandjesus
    • one year ago
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    132

  70. Vocaloid
    • one year ago
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    great

  71. mckenzieandjesus
    • one year ago
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    do you know anything about this figure? What is the volume of the composite figure? 192 ft3 76 ft3 152 ft3 96 ft3

  72. Vocaloid
    • one year ago
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    hint: it's 2 prisms put together|dw:1435446620974:dw|

  73. Vocaloid
    • one year ago
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    find the volume of prism A and add to the volume of prism B volume = L*W*H volume of A = (4)(2)(8) volume of B = (2)(2)3)

  74. mckenzieandjesus
    • one year ago
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    do u know what part would be length?

  75. mckenzieandjesus
    • one year ago
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    oh nvrm

  76. Vocaloid
    • one year ago
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    |dw:1435446845195:dw|

  77. mckenzieandjesus
    • one year ago
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    A= 64 B= 12

  78. Vocaloid
    • one year ago
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    right, so keep going

  79. mckenzieandjesus
    • one year ago
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    what do i do next?

  80. mckenzieandjesus
    • one year ago
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    64+12= 76

  81. Vocaloid
    • one year ago
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    right

  82. mckenzieandjesus
    • one year ago
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    ok thanku

  83. mckenzieandjesus
    • one year ago
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    What is the volume of the square pyramid? Round to the nearest tenth. 40.0 cm3 480.0 cm3 147.3 cm3 720.0 cm3

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  84. Vocaloid
    • one year ago
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    volume of square pyramid = (1/3)(L)(W)(H)

  85. mckenzieandjesus
    • one year ago
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    480?

  86. Vocaloid
    • one year ago
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    great

  87. mckenzieandjesus
    • one year ago
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    wouldnt this be rectangle? Describe the cross section of the rectangular prism. rectangle hexagon trapezoid triangle

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  88. Vocaloid
    • one year ago
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    yup, good job

  89. mckenzieandjesus
    • one year ago
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    thank you for all your time and effort to help me!(:

  90. Vocaloid
    • one year ago
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    no problem, I'm glad I was able to help

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