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Finger [1]
3 years ago
9

The surface area of the square pyramid shown is 84 square inches. What is the value of $x$ ? Square pyramid with base edge of 6

inches, and a slant height labeled x inches, on a triangular face.
Mathematics
2 answers:
AysviL [449]3 years ago
7 0

Answer:

4 inches

Step-by-step explanation:

The surface area, A of a right square pyramid is given by :

A = a² + 2as

Where, s = height of each triangular surface = x

a = base edge of pyramid

Substituting values into the equation :

A = 84 in² ; a = 6 in ; Slant height, s = x

84 = 6² + 2(6 * x)

84 = 36 + 2(6x)

84 = 36 + 12x

84 - 36 = 12x

48 = 12x

48/12 = 12x / 12

4 = x

Hence, Slant height, x = 4 inches

Elodia [21]3 years ago
7 0

Answer:

4 inches

Step-by-step explanation:

The surface area, A of a right square pyramid is given by :

A = a² + 2as

Where, s = height of each triangular surface = x

a = base edge of pyramid

Substituting values into the equation :

A = 84 in² ; a = 6 in ; Slant height, s = x

84 = 6² + 2(6 * x)

84 = 36 + 2(6x)

84 = 36 + 12x

84 - 36 = 12x

48 = 12x

48/12 = 12x / 12

4 = x

Hence, Slant height, x = 4 inches

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2 years ago
The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1, 6) . What is the solution of the equation 2x+4=10−4x ?
Gnoma [55]

Answer:

x=1 is the solution of the equation 2x+4=10−4x

Step-by-step explanation:

The graphs of ​ f(x)=2x+4 ​ and ​ g(x)=10−4x ​ intersect at (1, 6)

2x +4 = 10 - 4x

We need to solve for x by combining like terms

Add 4x on both sides

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Now subtract 4 on both sides

6x = 6

divide both sides by 6

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x=1 is the solution of the equation 2x+4=10−4x


5 0
3 years ago
Find the missing angle measures in the given rhombus.
jeyben [28]

Answer:

(1) = 38\°

(2) = 90\°

(3) = 90\°

(4) = 38\°

Step-by-step explanation:

The diagonals of a rhombus are perpendicular to each other, so angles (2) and (3) are equal 90°.

To find angle (1), we can use the sum of internal angles in the left triangle with angles 52°, (1), and (2):

52 + (1) + (2) = 180

(1) = 180 - 52 - 90

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52 + (4) + 90 = 180

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3 years ago
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