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Anton [14]
2 years ago
11

A right prism with rhombus bases is shown. the side length of each rhombus is 5 units. the height of the prism is 16 units. the

diagonals of each rhombus measure 6 and 8 units. what is the volume of the prism?
Mathematics
2 answers:
tigry1 [53]2 years ago
7 0

Answer:

384 Cubic Units

Molodets [167]2 years ago
6 0
To determine the volume of the rhombus, we use the equation,
                           V = Bh
where B is the area of the base and h is the height. 
For rhombus, the area is calculated through the equation,
                         B = D₁D₂/2
Substituting,
                          B = (6)(8) / 2 = 24 units squared

Volume calculation:
                             V = (24)(16) = 384 units cubed
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49767269 x 327686000 - 1029 + 1101 / 32
mars1129 [50]

Answer:

16308037309533006\frac{13}{32}

Step-by-step explanation:

49767269 × 327686000 - 1029 + \frac{1101}{32}

= 16308037309534000 - 1029 + \frac{1101}{32}

= 16308037309532972 + 34\frac{13}{32}

= 16308037309533006\frac{13}{32}

8 0
2 years ago
suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
lesya [120]

Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

so:

    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

      -3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

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