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Mathematics

2 answers:

kumpel [21]3 years ago

8 0

Answer:

The fourth answer

Step-by-step explanation:

The answer should be quite obvious. They gave you the answer in the question, 5^3/2. All the other answers result in 5 cubed.

Now, for actually determining it when not given choices. The nth root, or just the number on the outside, is always the denominator in the fractional power. In a regular square root, the n is just 2. In this case, the n is equal to 2. So you are taking the 2nd root (squard root) of the number. That means the denominator is 100% going to be 2. the numerator is simply the power that the number inside is going to. In this case it is 3.

sladkih [1.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

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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: