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e-lub [12.9K]
2 years ago
14

What is the volume of this triangular pyramid? 9 cm 7 cm 8 cm

Mathematics
2 answers:
Finger [1]2 years ago
5 0

Answer:

  84 cm³

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

where B is the area of the base.

__

The base is shown as a right triangle with legs 8 cm and 7 cm. Its area is given by the triangle formula ...

  A = 1/2bh

  A = 1/2(8 cm)(7 cm) = 28 cm²

Then the volume of the triangular pyramid is ...

  V = 1/3(28 cm²)(9 cm) = 84 cm³

dusya [7]2 years ago
4 0

Answer: 84

Step-by-step explanation:

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Which expression has the fewest significant figures?
yanalaym [24]

Hello!

Here are some rules to determine the number of significant figures.

  1. Numbers that are not zero are significant (45 - all are sigfigs)
  2. Zeros between non-zero digits are significant (3006 → all are sigfigs)
  3. Trailing zeros are not significant (0.067 → the first two zeros are not sigfigs)
  4. Trailing zeros after a decimal point are always significant (1.000 → all are sigfigs)
  5. Trailing zeros in a whole number are not significant (7800 → the last two zeros are not sigfigs)
  6. In scientific notation, the exponential digits are not significant, known as place holders (6.02 x 10² → 10² is not a sigfig)

Now, let's find the number of significant figures in each given number.

A). 296.54

Since these digits are all <em>non-zero</em>, there are 5 significant figures.

B). 5003.1

Since the two <em>zeros are between non-zero digits</em>, they are significant figures. Thus, there are 5 significant figures.

C). 360.01

Again, the two zeros are between non-zero digits. There are 5 significant figures.

D). 18.3

All of these digits are non-zero, hence, there are 3 significant figures.

Therefore, expression D has the fewest number of significant figures being 3.  

4 0
3 years ago
Read 2 more answers
1. Find the total surface area of the shape below:<br> 9 cm<br> 8 cm<br> 10 cm<br> 8 cm<br> 12 cm
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Answer:

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The length of a rectangle is twice its breadth. If its length is decreased half of the 10 cm and the breadth is increased by hal
Leto [7]

Since the length of this rectangle is twice its breadth, the length is equal to 40 cm.

<h3>How to calculate the area of a rectangle?</h3>

Mathematically, the area of a rectangle can be calculated by using this formula:

Area = Length × Width

Based on the information provided, we have:

  • Its length is decreased half of the 10 cm ⇒ (length - 5)
  • Its breadth is increased by half of the 10 cm ⇒ (breadth + 5)
  • Its area is increased by 75 cm ⇒ (area + 5)

Substituting the parameters into the formula, we have:

LB + 75 = (L - 5)(B + 5)

2B² + 75 = (2B - 5)(2B + 5)

2B² + 75 = 2B(B + 5) - 5(B + 5)

2B² + 75 = 2B² + 10B - 5B - 25

5B = 75 + 25

5B = 100

B = 100/20

B = 20 cm.

For the length, we have:

L = 2B

L = 2 × 20

L = 40 cm.

Read more on rectangle here: brainly.com/question/25292087

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The graph of one complete period of a cosine curve is given.
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Answer:

Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal shift is less than the period.)

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