Estimate the value of √15 to the nearest tenth.

Mathematics

2 answers:

Marianna [84]1 year ago

5 0

Answer: 3.9 Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

We can use our knowledge of perfect square (roots). The perfect square roots are 1, 4, 9, 16, 25, etc. The closest one that sqrt15 is near to is 16. The sqrt of 16 is 4, so if 15 + 1 = 16, the correct answer is 3.9. Hope this helps, please consider making me Brainliest.

Nadya [2.5K]1 year ago

3 0

Answer:

3.9

Step-by-step explanation:

√15 = 3.9, rounded.

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If the given values in a right triangle are cos A =

Vlad1618 [11]

See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1

applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2

the answer is
the hypotenuse is (3√2)/2