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Gnesinka [82]
3 years ago
9

Find the lateral area of the come in terms of pi.

Mathematics
2 answers:
Norma-Jean [14]3 years ago
4 0
The answer should be 12x cm power of 2
arsen [322]3 years ago
4 0

Answer:

15\pi sq. cm.

Step-by-step explanation:

The lateral area of a cone is given by the formula  \pi rl

Where, r is the radius, and l is the slant height

<em>r is given as 3 cm, but slant height is not given. Let's use the pythagorean theorem on the triangle created by 3cm , 4cm, side and lateral side (slant height).</em>

<u />

<u>Let slant height be l:</u>

3^2+4^2=l^2\\25=l^2\\l=5

Now plugging into the formula, we get:

Lateral area = \pi rl = \pi (3)(5)=15\pi

Second answer choice is right,  15\pi sq. cm

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What is the perimeter of triangle PQR? Show your work.
xxMikexx [17]

Answer:

The perimeter of triangle PQR is 17 ft

Step-by-step explanation:

Consider the triangles PQR and STU

1. PQ ≅ ST = 4 ft (Given)

2. ∠PQR ≅ ∠STU  (Given)

3. QR ≅ TU = 6 ft (Given)

Therefore, the two triangles are congruent by SAS postulate.

Now, from CPCTE, PR = SU. Therefore,

3y-2=y+4\\3y-y=4+2\\2y=6\\y=\frac{6}{2}=3

Now, side PR is given by plugging in 3 for 'y'.

PR = 3(3) - 2 = 9 - 2 = 7 ft

Now, perimeter of a triangle PQR is the sum of all of its sides.

Therefore, Perimeter = PQ + QR + PR

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Hence, the perimeter of triangle PQR is 17 ft.

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Step-by-step explanation:

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Answer:

x = - 2

Step-by-step explanation:

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