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Natasha2012 [34]
3 years ago
9

What is the volume of a triangular pyramid that is 4ft tall and has a base area of 3 square feet

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0
Formula of the Volume of a Pyramid is: \frac{1}{3}×Area of Base×Height of pyramid
V=\frac{1}{3}×3×4 (area of base=3 ft²)
V=4 ft³
\frac{1}{3} and 3 cancels out.

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2 years ago
Lines AD and BC are parallel.
allochka39001 [22]

*see attachment for the missing figure

Answer:

Angle ADE = 45°

Angle DAE = 30°

Angle DEA = 105°

Step-by-step explanation:

Since lines AD and BC are parallel, therefore:

Given that angle Angle CBE = 45°,

Angle ADE = Angle CBE (alternate interior angles are congruent)

Angle ADE = 45° (Substitution)

Angle DAE = Angle ACB (Alternate Interior Angles are congruent)

Angle ACB = 180 - 150 (angles on a straight line theorem)

Angle ACB = 30°

Since angle DAE = angle ACB, therefore:

Angle DAE = 30°

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8 0
3 years ago
The mean number of words per minute (WPM) typed by a speed typist is 149 with a standard deviation of 14 WPM. What is the probab
Troyanec [42]

Answer:

78.81%

Step-by-step explanation:

We are given;

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Sample size; n = 88

standard deviation; σ = 14

Z-score is;

z = (x¯ - μ)/(σ/√n)

Plugging in the relevant values;

z = (147.8 - 149)/(14/√88)

z = -0.804

From z-distribution table attached, we have; p = 0.21186

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Answer:

39

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8 0
3 years ago
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