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Varvara68 [4.7K]
2 years ago
15

What is the lateral surface area of this prism helpp plzzz

Mathematics
1 answer:
natka813 [3]2 years ago
7 0

Answer:

surface area=2(1/2×12×5)+(8×5)+(13×8)+(12×8)

=60+40+104+96

=300inches squarred

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Find the solution to the equation below.<br> 2x^2+3x-20=0
mariarad [96]

Answer:

  x = -4, 5/2

Step-by-step explanation:

A quadratic can be solved may ways, including graphing, factoring, and the quadratic formula. You can also check possible answers by making use of the relationships between solutions and the coefficients.

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A graph is attached. It shows the solutions to be -4 and 5/2.

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When factored, the equation becomes ...

  (2x -5)(x +4) = 0 . . . . . has solutions x=-4, x=5/2 (these make the factors zero)

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Using the quadratic formula, the solutions of ax^2 +bx +c = 0 are found from ...

  x = (-b±√(b²-4ac))/(2a)

  x = (-3±√(3²-4(2)(-20))/(2(2)) = (-3±√169)/4 = {-16, +10}/4

  x = {-4, 5/2}

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For ax^2 +bx +c = 0, the solutions must satisfy ...

  product of solutions is c/a = -20/2 = -10

Only the first and last choices have this product.

  sum of solutions is -b/a = -3/2

Only the first choice (-4, 5/2) has this sum.

8 0
3 years ago
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Ivenika [448]

Answer:

40

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3 years ago
During a softball game, Sara threw 70 pitches. Of those pitches, 29 were strikes. What portion of the pitches that Sara threw we
EleoNora [17]
Answer: 0.414


29/70=0.41428571
The thousands place is the third place.
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TWO EASY QUESTIONS 8TH GRADE MATH
Sophie [7]
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.

11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.

Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.

8x + 2 + 9x + 3 = 90

17x + 5 = 90

17x = 85

x = 5
3 0
2 years ago
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