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3 years ago

Volume of this prism

Mathematics

1 answer:

Lyrx [107]3 years ago

5 0

The volume is (area of cross-section) x (length) .

-- The cross-section is a triangle. The area of a triangle is

Area = (1/2) (base) (height) .

In this one, the base is 9/4 m and the height is 3-1/3 m .

Area = (1/2) (9/4 m) (3-1/3 m)

Area = (1/2) (9/4) (10/3)

Area = 90/24 m² .

-- Volume = (area of cross-section) x (length)

Volume = (90/24 m²) x (7-1/3 m)

Volume = (90/24) x (22/3) m³

Volume = (1,980 / 72) m³

Volume = 27.5 m³

Read more about domain at:

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7 0

2 years ago

Read 2 more answers

Rewrite as a simplified faction

elena-s [515]

Here is the final answer
3 2/9
=29/9. Hope it help!

8 0

3 years ago

Use the fact that 2 1/2 divide 1/8 =20 to find 2 1/2 divide 5/8

Tasya [4]

Answer:

Step-by-step explanation:

Given that $2\frac 1 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \div \frac 1 8 =20$

$\Rightarrow \frac 5 2 \times 8 1 =20 \cdots(i)$

Now, $2\frac 1 2 \div \frac 5 8$ $= \frac 5 2 \div \frac 5 8$ $=\frac 5 2 \times \frac 8 5$

This can be written as

$\frac 5 2 \times \frac 8 5=\frac 5 2 \times \left( \frac 8 1 \times \frac 1 5\right)$ [as $\frac 8 5=\frac 8 1 \times \frac 1 5$ ]

$=\left(\frac 5 2 \times \frac 8 1 \right)\times \frac 1 5$

$=20 \times \frac 1 5$ [ by using equation (i)]

Hence, $2\frac 1 2 \div \frac 5 8=4$

7 0

2 years ago

What is the area of the figure

svp [43]

Formula for the area of a triangle:

( Base X Height ) Divided by 2 or (B×H) ÷ 2

Formula for the area of a circle:

PI times the radius squared or PI × r^2

Area of the triangule part of this figure:

Base: 8ft. Height: 6ft

(8ft × 6ft) ÷ 2

48ft^2 ÷ 2

24ft^2

Since the circular part of the figure is a SEMICIRCLE, we are finding the area of a circle with the same radius but dividing it by 2 since thats just a half of a circle

Area of the semicricle:

Diameter: 10ft,

Therefore the radius is 5ft

(PI x 5ft^2) ÷ 2

39.2699081699 ft^2

39.27 ft^2

Now add these two areas together:

24ft^2 + 38.27ft^2 = 62.27ft^2

Hope it helps

6 0

3 years ago

PLZ help What system of linear inequalities is shown in the graph?

GarryVolchara [31]

In order find the Inequalities, First we need to Find the Equations of Both the Lines.

Equation of First line :

It is passing through the Points (0 , 2) and (4 , 0)

⇒ Slope = $\frac{2 - 0}{0 - 4} = \frac{-2}{4} = \frac{-1}{2}$

⇒ Equation of the First Line : $y - 2 = \frac{-1}{2}(x)$

⇒ Equation of the First Line : x + 2y = 4

Equation of Second Line :

It is passing through the Points (1.5 , 0) and (0 , -3)

⇒ Slope = $\frac{0 + 3}{1.5 - 0} = \frac{3}{1.5} = 2$

⇒ Equation of the Second Line : y + 3 = 2x

⇒ Equation of the Second Line : 2x - y = 3

As the Shaded Area of the First Line is away from the Origin :

⇒ x + 2y ≥ 4

As the Shaded Area of the Second Line is towards the Origin and it is a Dotted line :

⇒ 2x - y < 3

So, the System of Linear Inequalities are :

⇒ x + 2y ≥ 4

⇒ 2x - y < 3

4 0

3 years ago

Volume of this prism ​

Volume of this prism