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3 years ago

We’re five and twenty two hundredths centimeters as a decimal

Mathematics

2 answers:

nika2105 [10]3 years ago

7 0

5.22 is 5 22/100 as a decimal

GREYUIT [131]3 years ago

4 0

You answer will be 5 22/100

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What is 6.12 as a fraction

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The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Goryan [66]

Given:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

Length of AD:

The length of AD is given by

$cos 60^{\circ}=\frac{FD}{8}$

$4=FD$

Length of AD = 8 cm

Slant height:

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

$sin \ 60^{\circ}=\frac{EF}{8}$

$sin \ 60^{\circ} \times 8=EF$

$\frac{\sqrt{3}}{2} \times 8=EF$

$4\sqrt{3}=EF$

Thus, the slant height EF is 4√3

Surface area of the square pyramid:

The surface area of the square pyramid can be determined using the formula,

$SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)$

Substituting the values, we have;

$SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})$

$SA=64+\frac{1}{2}(32)(4 \sqrt{3})$

$SA=64+(16)(4 \sqrt{3})$

$SA=64+64 \sqrt{3}$

The exact form of the area of the square pyramid is $64+64 \sqrt{3}$

Substituting √3 = 1.732 in the above expression, we have;

$SA = 64 + 110.848$

$SA = 174.848$

Rounding off to one decimal place, we get;

$SA = 174.8$

Thus, the area of the square pyramid is 174.8 cm²

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3 years ago

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A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like

Gala2k [10]

Answer:

193 in

Step-by-step explanation:

Volume of a triangular prism:

The volume of a triangular prism is the base area multiplied by the wedge, that is:

$V = A_bw$

The base area is one half times the triangle base times it's height, so:

$V = 0.5*b*h*w$

The wedge of cheese is 7 inches tall.

This means that $w = 7$

The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.

This means that $b = 11, h = 5$

Volume:

$V = 0.5*b*h*w = 0.5*11*5*7 = 192.5$

Rounding, approximately 193 in.

4 0

3 years ago