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jek_recluse [69]
3 years ago
6

A cone and a triangular pyramid have a height of 9.3 m and their cross-sectional areas are equal at every level parallel to thei

r respective bases.What is the height, x, of the triangle base of the pyramid? Round to the nearest tenth.
Mathematics
1 answer:
castortr0y [4]3 years ago
3 0

Answer:

x=17.1

Step-by-step explanation:

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If you are on a ship at sea navigating to a point that is 300 miles north and 400 miles west, find the distance from tour ship t
s344n2d4d5 [400]

Answer:

\huge \boxed{\mathrm{500 \ miles}}

Step-by-step explanation:

A right triangle is formed.

300 miles and 400 miles are the legs of the triangle.

We can apply Pythagorean theorem.

c=\sqrt{300^2 +400^2 }

c=\sqrt{90000 +160000}

c=\sqrt{250000}

c=500

8 0
2 years ago
For which values of P and Q does the following equation have infinitely many solutions ?
solmaris [256]

Answer:

(P, Q) = (-75, 57)

Step-by-step explanation:

The equation will have infinitely many solutions when it is a tautology.

Subtract the right side from the equation:

Px +57 -(-75x +Q) = 0

x(P+75) +(57 -Q) = 0

This will be a tautology (0=0) when ...

P+75 = 0

P = -75

and

57-Q = 0

57 = Q

_____

These values in the original equation make it ...

-75x +57 = -75x +57 . . . . . a tautology, always true

4 0
3 years ago
A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer
solong [7]

Answer:

Volume = 18312.48

Step-by-step explanation:

Given

Height (h) = 18mm

Radius (r) = 18mm

Required

Determine the volume

The volume of a cylinder is calculated as thus:

Volume = \pi r^2h

Substitute values for r and h

Volume = 3.14 * 18^2 * 18

Volume = 18312.48

<em>Hence, the volume of the cylinder is 18312.48mm³</em>

8 0
3 years ago
What kind of word problem can be solved with a two-variable equation?​
Annette [7]

Answer: Here’s one I made up! Combined, Megan and Kelly worked 60 hours, Kelley worked twice as many hours as Megan. How many hours did they each work? Hope this helps!

5 0
3 years ago
Which explicit formula can be used to find the accounts balance at the beginning of year 3?
balandron [24]

The formula for the amount A in an account with principal P and interest rate r compounded annually for t years is

... A(t) = P(1+r)^t

You want to find A when P=400, r=0.05, and t=3. Substituting those values gives you

... A(3) = 400·(1 +0.05)³

The appropriate choice is

... A. A(3) = 400·(1 +0.05)³

7 0
2 years ago
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