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spayn [35]
3 years ago
9

A pizza box is 2 inches high , sixteen and three fourths inches wide, and sixteen and three fourths inches long , what is the vo

lume if the pizza box?
Mathematics
2 answers:
arlik [135]3 years ago
8 0

Answer:

561 1/8 in³

Step-by-step explanation:

Volume = length × width × height

= 16 3/4 × 16 3/4 × 2

= 67/4 × 67/4 × 2

= 4489/8

= 561 1/8 in³

erma4kov [3.2K]3 years ago
4 0

Answer:

561 1/8 inches cubed

Step-by-step explanation:

The volume of a rectangular prism (the 3D shape of the pizza box) is denoted by: V=lwh, where l is the length, w is the width, and h is the height.

Here, the length is "sixteen and three fourths inches" = 16\frac{3}{4}, the width is "sixteen and three fourths inches" = 16\frac{3}{4}, and the height is 2 inches. Plug these into the equation:

V=lwh

V=(16\frac{3}{4})*(16\frac{3}{4})*2

To make this easier, turn the mixed numbers into improper fractions: 16\frac{3}{4} = \frac{67}{4}. Now, we have:

V=(\frac{67}{4}) *(\frac{67}{4})*2=\frac{8978}{16} =561\frac{2}{16} =561\frac{1}{8} inches cubed.

Hope this helps!

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Kryger [21]
To expand the given expression we proceed as follows:
(6x²-2x-6)(8x²+7x+8)
=6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8)
=48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48
putting like terms together:
48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48
=48x⁴+26x³+0x²-58x-48
hence the answer is:
48x⁴+26x³-58x-48
6 0
3 years ago
Case Study 2
ICE Princess25 [194]

Answer:

good for them i think

Step-by-step explanation:

this doesnt make any sense

4 0
2 years ago
Question 1 of 10
Darya [45]

Answer:

Log₆ (A⁵C² / D⁶) = –13

Step-by-step explanation:

From the question given above,

Log₆ A = 1

Log₆ C = 3

Log₆ D = 4

Log₆ (A⁵C² / D⁶) =?

Recall:

Log MN / U = Log M + Log N – Log U

Therefore,

Log₆ (A⁵C² / D⁶) = Log₆ A⁵ + Log₆ C² – Log₆ D⁶

Recall:

Log Mⁿ = nLog M

Thus,

Log₆ A⁵ + Log₆ C² – Log₆ D⁶

= 5Log₆ A + 2Log₆ C – 6Log₆ D

Log₆ A = 1

Log₆ C = 3

Log₆ D = 4

= 5(1) + 2(3) – 6(4)

= 5 + 6 – 24

= 11 – 24

= –13

Therefore,

Log₆ (A⁵C² / D⁶) = –13

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2 years ago
Solve 900•6 in steps
77julia77 [94]

Answer:5400

Step-by-step explanation:9•6= 54

Add both zeros from 900 at the end and it’s 5400

7 0
2 years ago
Read 2 more answers
Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer l
bonufazy [111]

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

5 0
2 years ago
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