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Mathematics

2 answers:

Arte-miy333 [17]2 years ago

8 0

ANSWER: Volumn of cone = 130.9m³

I hope this helps you :)

const2013 [10]2 years ago

4 0

Answer:

volume for this cone is 47.1 m³

Explanation:

$\boxed{Volume -of -cone=\frac{1}{3} \pi r^2h}$

Using the formula:

$\frac{1}{3} * (3.14)* 3^2 * 5$

$\frac{1}{3} * 141.3$

$47.1$ m³

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There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and

Rama09 [41]

Answer:

Step-by-step explanation:

4+3+5= 12 marbles

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3 years ago

Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

melamori03 [73]

Answer:

$6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}$

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs $AB=3$ , $BC=4$ , and $AC=5$ . The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base $b$ and height $h$ is given by $A=\frac{1}{2}bh$ . Therefore, the area of this right triangle is:

$A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}$

The other triangle is a bit trickier. Triangle $\triangle ADC$ is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by: