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Ganezh [65]
3 years ago
8

Find an expression for the perimeter of rectangle ABCD. Use the formula P= 2l + 2w.

Mathematics
1 answer:
natita [175]3 years ago
3 0

Answer:

(b)

P = [4(4a + 3b]/(2a + b)

Step-by-step explanation:

P = 2L + 2W

P = [2(5a + 4b) + 2(3a + 2b)]/(2a + b)

P = [10a + 8b + 6a + 4b]/(2a + b)

P = [16a + 12b]/(2a + b)

P = [4(4a + 3b]/(2a + b)

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Answer:

the y intercept at this point is 7

Step-by-step explanation:

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Dont get this help asap!
algol [13]

Answer:

Step-by-step explanation:

It is a rectangle, so both sides are equal. Thus 2x+6=5x-9

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2 years ago
The surface area of a given cone is 1,885.7143 square inches. What is the slang height?
kap26 [50]

Answer:

If r >> h, the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

A = \pi \cdot r^{2} + 2\pi\cdot s

Where:

r - Base radius of the cone, measured in inches.

s - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

s = \sqrt{r^{2}+h^{2}}

Where h is the altitude of the cone, measured in inches. If r >> h, then:

s \approx r

And:

A = \pi\cdot r^{2} +2\pi\cdot r

Given that A = 1885.7143\,in^{2}, the following second-order polynomial is obtained:

\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2}  = 0

Roots can be found by the Quadratic Formula:

r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}

r_{1,2} \approx -1\,in \pm 24.521\,in

r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

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6.75 billion in scientific notation
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