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3 years ago

What’s the correct answer for this question?

Mathematics

1 answer:

vladimir2022 [97]3 years ago

8 0

Answer:

Step-by-step explanation:

A cone with a radius of 1-unit will be obtained by rotating the 3-D figure.

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An isosceles triangle has a perimeter of 36 inches. Its base is 2

astra-53 [7]

The lengths of the sides of the triangle are 8, 8, 20

Explanation:

Given that the perimeter of an isosceles triangle is 36 inches.

The base of the triangle is $2\frac{1}{2}$ times longer than each of its legs.

We need to determine the lengths of the sides of the triangle.

<u>Lengths of the sides:</u>

Let x denote the lengths of the sides of the triangle.

The base of the triangle is given by

$2\frac{1}{2}x=\frac{5}{2}x=2.5x$

Perimeter of the isosceles triangle = Sum of the three sides of the triangle.

Thus, we have,

$36=x+x+2.5x$

$36=4.5x$

$8=x$

Thus, the length of the sides of the isosceles triangle is 8 inches.

Base of the triangle = $2.5(8)=20 \ inches$

Hence, the three sides of the isosceles triangle are 8, 8, 20

3 0

3 years ago

Consider the tangent line to the curve y = 6 sin(x) at the point (π/6, 3). (a) Find a unit vector that is parallel to the tangen

mojhsa [17]

Answer:

$y=\frac{\pi }{6}+5.196(x-3)$

Step-by-step explanation:

We have given the equation y = 6 sin (x)

On differentiating both side $\frac{dy}{dx}=m=6cosx$

As it passes through the point $(\frac{\pi }{6},3)$

So $\frac{dy}{dx}=6cos\frac{\pi }{6}=5.196$

Now the unit vector is parallel to the tangent so m will be 5.196

This passes through the point $(\frac{\pi }{6},3)$

So unit vector will be $y-\frac{\pi }{6}=5.196(x-3)$

$y=\frac{\pi }{6}+5.196(x-3)$

5 0

3 years ago

Which inequality describes this graph?

ZanzabumX [31]

The inequality that describes this graph of the number line is x ≥ 4

<h3>How to determine the inequality that describes this graph?</h3>

From the question, we have the following properties:

The graph is a number line
The number line extends at both ends
The number line starts from less than -5 and ends at greater than 5
There is a heavy arrow that extends from a circle over positive 4 to the right.

The property 3 above implies that the domain of the number line is the set of all real numbers.

The property 4 above implies that the inequality of the number line is a greater than or equal to inequality, and the value starts from 4

This is represented by the following inequality

x ≥ 4

Hence, the inequality that describes this graph of the number line is x ≥ 4