3 years ago

ΔMNP is an isosceles triangle with MN ≈NP. If ∠ M = 3x + 1 and ∠ N = x - 11. What is the measure of ∠P?

Mathematics

1 answer:

stiks02 [169]3 years ago

8 0

The measure of ∠P=3x + 1

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Any point on the x-axis beyond the point (4, 0) is a possible cordinate of R.

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A conical tent has a radius of 10.4 ft and a height of 8.4 ft. Doubling which dimensions will quadruple the volume of the tent?

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Answer: Doubling the radius.

Step-by-step explanation:

The volume of a cone can be found with the following formula:

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

Where "r" is the radius and "h" is the height of the cone.

Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.

Identifiying that:

$r=10.4\ ft\\\\h=8.4\ ft$

You get this volume:

$V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3$

If you double the radius, the volume of the conical tent will be:

$V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3$

When you divide both volumes, you get:

$\frac{3,805.70\ ft^3}{951.43\ ft^3}=4$

Therefore, doubling the radius will quadruple the volume of the tent.

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Step-by-step explanation:

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Quadrilateral OPQR: O(1,-5), P(3,-4), Q(7,-3), R (5,-2). Translate this quadrilateral (x,y)----> (x-5,y +7) creating image O'

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Answer:(x,y)⇒(x-5,y+7)

0'⇒(-4,2),

P'(-2,3)

Q'(2,4)

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O'((1,-5)⇒O''(-1,5)

P'(-2,3)⇒P''(2,-3)

Q'(2,4)⇒Q''(-2,-4)

R'(0,5)⇒R''(0,-5)

Step-by-step explanation:

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