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Kay [80]
2 years ago
15

Find the volume of the solid figure shown below. The area of the base is 40 square inches and the height of the figure is 7 inch

es
Mathematics
1 answer:
Marrrta [24]2 years ago
4 0

Answer:

\displaystyle V _{ \text{cuboid}} =280  {in}^{3}

Step-by-step explanation:

we are given the base area and the height of a solid figure

since the base area is not perfect square

we assure the solid figure to be a cuboid

remember that,

\displaystyle V _{ \text{cuboid}} = l\times w \times h

we are given l×w is 40 and h is 7

so substitute

\displaystyle V _{ \text{cuboid}} =40 \times 7

simplify multiplication:

\displaystyle V _{ \text{cuboid}} =280

hence,

the volume of the figure is 280 in³

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What is the surface area of this rectangular prism?
dybincka [34]

Answer:

256 ft²

Step-by-step explanation:

4 lateral faces + 2 bases

The total area

=2 \times (12 \times 4) + 2 \times (12 \times 5) + 2 \times (5 \times 4)

= 96 + 120 + 40

= 256

3 0
2 years ago
A data analyst has spreadsheets numbered
algol [13]

Answer:

\frac{2}{9}

Step-by-step explanation:

{\textrm}{Total number of objects here} = 9

(2 spreadsheets, 3 databases and 4 presentations,

{\textrm}({Total} = 2+3+4 = 9)

{\textrm}{No. of databases with an odd number} = 2 {\textrm}{(databases with number 1 and 3})

As  not mentioned other wise equal chances of all the outcomes is assumed so, by the classical definition of probability,

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=\frac{2}{9}

8 0
3 years ago
Trevor covered a cylindrical can with paper for a project. The
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Answer:

722 cm ^2

Step-by-step explanation:

6 0
2 years ago
I SPENT 50 POINTS ON THIS, PLEASE HELP
Anestetic [448]

In the figure, we can consider that the base is the side that mesures 12 in and that the height is the side that measures 15 in, since that sides are perpendicular. So, we just need to use the given formula:

A = \dfrac{bh}{2}\Longrightarrow A = \dfrac{12\cdot15}{2}\Longrightarrow A=6\cdot15\Longrightarrow \boxed{A = 90~\text{in}^2}

Hence, the area of the triangle is 90 in² (B).

5 0
3 years ago
Read 2 more answers
An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.
Allisa [31]

Answer:

329.5

Step-by-step explanation:

From the table we see that the common difference d = 0.5 - (-6.5)

= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.

The first term a1 = -6.5.

The nth term = a1 + (n - 1)d  so for our sequence we have:

49th term =  -6.5  + (49 - 1)7

= -6.5 + 48 * 7

= -6.5 + 336

= 329.5   (answer).

4 0
3 years ago
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