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3 years ago

Describe the domain and range of f(x)= -square root of x+1

1 answer:

3 0

$f(x)=-\sqrt{x+1}\\\\The\ domain:\\\\x+1\geq0\to x\geq-1\\\\\boxed{x\geq-1\to D:x\in[-1;\ \infty)}\\\\The\ range:\\\\\boxed{y\leq0\to y\in(-\infty;\ 0]}$

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2 years ago

A. Determine the value of an account in which a person invested $6000 for 12 years at an annual rate of 9% compounded annually (

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10+5-7=3y -10x+5x+5=-15 3x+2x-4x+10 pre algebra 8th grade math

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Answer:

1) y=8/3=2 2/3 2) x=4 3) x+10

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1) 10+5-7=3y

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Swap the sides of the equation.

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2 years ago

An oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches. What is the volume of the obl

trasher [3.6K]

Oblique Cone

The volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

Step-by-step explanation:

An oblique cone has a radius of 4 units

A height of 8.5 units

A slant length of 11.7 inches

We have to use the slant height to calculate actual base

So in a right angle triangle when two sides are given the third side is calculated by

Root (sqr(11,7) - sqr(8.5)) = 8.03 units

$\sqrt{11.7^{2} - 8.5^{2} }$

⇒ 8.03 units

Formula to calculate the volume of oblique cone,......................(1)

V = $\frac{1}{3} bh$

If r is the distance of the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

V = $\frac{1}{3} \pi r^{2} h$

Where r is the distance if the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

Here r = 8.03 - 4 = 4.03 units

Volume = $\frac{1}{3}$ × 3.14 × 4.03 × 4.03 × 8.5

Volume = 144.49 cubic inches

Hence, the volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

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2 years ago

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