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Kobotan [32]
3 years ago
7

Two different sizes of square metal duct are joined by a piece that is a frustum of a pyramid. Find the lateral surface area, if

the small end is square with one side of length 17 in. and the larger square end is of length 19 in. on one side with a slant height of 2 in.
Mathematics
1 answer:
Allisa [31]3 years ago
8 0

Answer:

288 in²

Step-by-step explanation:

The formula used to solve this question is :

Lateral Surface Area = s( P1 + P2)

Where s = slant height = 2 inches

P1 and P2 = Perimeter of the bases

Perimeter of base 1 = 4 × length of the end of the small square

4 × 17 inches = 68 inches

Perimeter of base 2 = 4 × length of the end of the large square

4 × 19 inches = 76 inches

Lateral Surface Area = 2 × (68 + 76)

= 2 × 144

= 288 in²

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Using Cramer’s Rule, what is the value of x in the system of linear equations below?
cluponka [151]

Answer:

x = 8 is the answer

Step-by-step explanation:

In order to find  the solution of Equations using Cramer's rule

we shall find  matrices

D= \left[\begin{array}{ccc}5&-3\\1&-2\end{array}\right]=

D_{1} = \left[\begin{array}{ccc}4&-3\\-16&-2\end{array}\right]

l D l  = Determinant formed by coefficient  of variables

Here l D l = 5X(-2) - 1X(-3)=  -10+3 = -7

l D1 l =   Determinant formed by replacing first column In D by numbers on the right side of the equations

Here  l D1 l = 4X(-2)- (-16)X(-3)= -8-48 = -56

here x is  given by \frac{l D1 l}{l D l}

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             x = 8

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The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 2 hours for a sq
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At a sale on winter clothing, Cody bought four pairs of gloves and four hats for $36.00. Tori bought three pairs of gloves and f
iren [92.7K]

Answer:

gloves cost $5

hats cost $4

Step-by-step explanation:

four pairs of gloves and four hats for $36.00

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-------------------------

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Solve the equation for the stated variable: A=1/2ap. Solve for p
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Hello,

<span>A=1/2ap
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