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katrin [286]
3 years ago
14

If the side length of a square pyramid is tripled and the slant height is divided by 5, what would be the formula to find the mo

dified surface area?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

\large\boxed{S.A.'=9b^2+\dfrac{6}{5}bh}

Step-by-step explanation:

The formula of a surface area of a square pyramid:

S.A.=b^2+2bh

b - side of the square

h - slant height

The new lenghts:

3b - side of the square

\dfrac{h}{5} - slant height

Substitute:

S.A.'=(3b)^2+2(3b)\left(\dfrac{h}{5}\right)=9b^2+\dfrac{6}{5}bh

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The answer is 1 1/125 ..

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If AB is parallel to CD and the slope of CD is -5 what is the slope of AB
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The slope of AB is also -5. This is because parallel lines have equal slopes. 
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An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.
____ [38]

A)

Earlier, The length of the angelfish  = 1 \frac{1}{2} inches

Now, the length of angelfish = 2 \frac{1}{3} inches

We have to determine the grown length of angelfish

=  2 \frac{1}{3} -  1 \frac{1}{2}

= \frac{7}{3}- \frac{3}{2}

LCM of '2' and '3' is '6',

= \frac{14-9}{6}

= \frac{5}{6} inch

Therefore, the angelfish has grown by \frac{5}{6} inch.

B)

We have to determine the increased length of angelfish in feet.

Since 1 inch = \frac{1}{12} foot

So, \frac{5}{6} inch = \frac{5}{6} \times \frac{1}{12} = \frac{5}{72}

= 0.069 foot.

7 0
3 years ago
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a tin mine is estimated to have tin reserves worth two million ringgit. if the monthly extraction is 5% of the value of the rese
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Month_2 Value = Month_1 Value * 0.95 = Moth_0 Value * 0.95*0.95 = Month_0 Value * 0.95^2

Month _n Value = Month_0 Value * (0.95)^n

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4 years ago
Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

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Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
4 years ago
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