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Reptile [31]
3 years ago
9

Olivia is making a triangular pyramid model for math class. The triangular base has a height of 5 inches and a base of 8 inches.

The height of the pyramid is 10 inches. Find the volume of her pyramid to the nearest tenth of a cubic inch. Enter your answer in the box.
Mathematics
2 answers:
Vesna [10]3 years ago
7 0

Answer:

66.7 in^3

Step-by-step explanation:

The volume of a triangular pyramid is given by

V = 1/3 B h

where B is the area of the base and h is the height

Calculate the area of the base.  The base is a triangle

B = 1/2 bh  where b is 8 and h is 5

  = 1/2 (8) * 5

  =20

V = 1/3 (20) 10

 66.6666666

To the nearest tenth

66.7 in^3

OLEGan [10]3 years ago
4 0

Answer:

66.7 in³

Step-by-step explanation:

Volume = ⅓ base area × height

= ⅓(½ × 5 × 8) × 10

= ⅓ × 20 × 10

= 200/3 in³

= 66.6667 in³

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For each model below write the portion of the grid that is shaded as a percent and as a fraction. EXPLAIN.
Rudik [331]

Answer:

Just find the area of each shape .fir the first triangle it will be (0.5 x6 x6) so the answer is 18 . So the shaded part is 18 out of 100 or 18% . And so on for the trapezoid and the combined figure of square and triangle together

Step-by-step explanation:

5 0
3 years ago
The population of a city increases by 0.5% per year. If this year's population is 374,000, what will next year's population be,
Ann [662]

Answer:

372,130

Step-by-step explanation:

1. Multiply 374,000 by 0.5

2. divide the answer by 100

3. subtract that answer from 374,000

4. This is the answer to your question

8 0
3 years ago
Read 2 more answers
-2 + 3n< 28 and 6n - 7 > 17
sveta [45]

Answer:

N< 10 and N>4

Step-by-step explanation:

-2+3n< 28. =. 3n < 30. =. N < 10

+2. +2 ÷3. ÷3

6n - 7 > 17. =. 6n > 24. =. N > 4

+7. +7. ÷ 6. ÷ 6

8 0
4 years ago
Solve the inequality for w.
ahrayia [7]

Answer

Example 1 Solve for x and check: x + 5 = 3

Solution

Using the same procedures learned in chapter 2, we subtract 5 from each side of the equation obtaining

Example 2 Solve for x and check: - 3x = 12

Solution

Dividing each side by -3, we obtain

Step-by-step explanation: here is your anserw the let me know if it right

8 0
3 years ago
What is the equation of the line on the graph with points (-2,2) and (-2,-3)
nika2105 [10]

Answer:

x=-2

Step-by-step explanation:

Given points are (-2,2) and (-2,-3).

Now we need to find equation of the line passing through the given points.

So let's begin by finding slope

m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}=\frac{\left(-3-2\right)}{\left(-2-\left(-2\right)\right)}=\frac{\left(-5\right)}{\left(-2+2\right)}=-\frac{5}{0}

which is undefined. That means graph of the line must be vertical as you can see that in given points, x-value is not changing.

Equation of vertical line is given by x=k where k is the fixed value of x-coordinate.

x-coordinate is -2 in given points.

Hence final equation is x=-2.

4 0
4 years ago
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