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Alika [10]
3 years ago
7

Volume of prisms mathswatch answers

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0

Answer:

Volume of recangular prisms is l*w*h, triangular prism is (l*w*h)/3

Step-by-step explanation:

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Use the percent. proportion to solve 40% of what is 30?
AleksAgata [21]

Answer:

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Step-by-step explanation:

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If your born on 1900 how old would have you been on 2009?
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Step-by-step explanation:

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Read 2 more answers
The Louvre is an art museum in Paris. A glass square base pyramid sits in front of the entrance to the museum. If the pyramid is
Sveta_85 [38]

Answer:

lateral area = 2320 m²

Step-by-step explanation:

The question wants us to calculate the lateral area of a square base pyramid. The square base pyramid has a side of 40 meters.The height is 21 meters.

Half of the square base is 40/2 =  20 meters . With the height it forms a right angle triangle. The hypotenuse side is the slant height of the pyramid.

Using Pythagoras's theorem

c² = a² + b²

c² = 20² + 21²

c² = 400 + 441

c² = 841

square root both sides

c = √841

c = 29 meters

The slant height of the pyramid is 29 meters.

The pyramid has four sided triangle. The lateral area is 4 multiply by the area of one triangle.

area of triangle = 1/2 × base × height

base = 40 meters

height = 29 meters

area = 1/2 × 40 × 29

area = 580

area of one triangle = 580 m²

Lateral area = 4(580)

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5 0
3 years ago
The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .
sammy [17]

Answer:

32,24,18,\frac{27}{2} ,\frac{81}{8}

Step-by-step explanation:

Let x, y , and z be the numbers.

Then the geometric sequence is 32,x,y,z,\frac{81}{8}

Recall that  term of a geometric sequence  are generally in the form:

a,ar,ar^2,ar^3,ar^4

This implies that:

a=32 and ar^4=\frac{81}{8}

Substitute a=32 and solve for r.

32r^3=\frac{81}{8}

r^4=\frac{81}{256}

Take the fourth root to get:

r=\sqrt[4]{\frac{81}{256} }

r=\frac{3}{4}

Therefore x=32*\frac{3}{4} =24

y=24*\frac{3}{4} =18

z=18*\frac{3}{4} =\frac{27}{2}

8 0
3 years ago
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