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3 years ago

Find the total surface area in square inches, of the following 3-

Mathematics

1 answer:

Ivenika [448]3 years ago

6 0

Answer:

81 in²

Step-by-step explanation:

The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.

The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.

Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length

Where,

Base area = s² = 5² = 25 in²

Perimeter of base = 4(s) = 4(5) = 20 in

Slant height = 5.6 in

Surface area = 25 + ½(20) × 5.6

= 25 + 10 × 5.6

= 25 + 56

Surface area = 81 in²

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A curve has equation y=x√x.find the equation of the tangent to the curve at the point(1, 5)

rewona [7]

Answer:

y - 5 = $\frac{3}{2}$ (x - 1)

Step-by-step explanation:

Note that $\frac{dy}{dx}$ = $m_{tangent}$

Differentiate using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

y = x $\sqrt{x}$ = x. $x^{\frac{1}{2} }$ = $x^{\frac{3}{2} }$ , then

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When x = 1

$\frac{dy}{dx}$ = $\frac{3}{2}$ . 1 = $\frac{3}{2}$

The equation of a line in point- slope form is

y - b = m(x - a)

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Here m = $\frac{3}{2}$ and (a, b) = (1, 5), thus

y - 5 = $\frac{3}{2}$ (x - 1) ← equation of tangent

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Gemiola [76]

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3 years ago

Use axis of symmetry formula to find the axis of symmetry of the following equation.

FinnZ [79.3K]

Answer:

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Step-by-step explanation:

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-10

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