Question

Solve for x, pleaseee helppp, I will mark you as a brainliest!

Answer 1

Answer:

$x = 24.8394847$

$x = 13.69707998$

$x = 36.24913792$

$x = 10.72380529$

Step-by-step explanation:

$1.$

${c}^{2} = {a}^{2} + {b}^{2}$

$c = \sqrt{ {a}^{2} + {b}^{2} }$

$c = \sqrt{ {16}^{2} + {19}^{2} }$

$c = \sqrt{256 + 361}$

$c = \sqrt{617}$

$c = 24.8394847$

$x = 24.8394847$

$x \approx24.8$

$2.$

${c}^{2} = {a}^{2} + {b}^{2}$

${a}^{2} = {c}^{2} - {b}^{2}$

$a = \sqrt{ {c}^{2} - {b}^{2} }$

$a = \sqrt{ {16.5}^{2} - {9.2}^{2} }$

$a = \sqrt{272.25 - 84.64}$

$a = \sqrt{187.61}$

$a = 13.69707998$

$x = 13.69707998$

$x \approx13.7$

$3.$

${c}^{2} = {a}^{2} + {b}^{2}$

$c = \sqrt{ {a}^{2} + {b}^{2} }$

$c = \sqrt{ {30 \div 2}^{2} + {33}^{2} }$

$c = \sqrt{ {15}^{2} + {33}^{2} }$

$c = \sqrt{225 + 1089}$

$c = \sqrt{1314}$

$c = 36.24913792$

$x = 36.24913792$

$x \approx36.2$

$4.$

${a}^{2} = {c}^{2} + {b}^{2}$

${a}^{2} = {c}^{2} - {b}^{2}$

$a = \sqrt{ {25}^{2} - {16}^{2} }$

$a = \sqrt{625 - 256}$

$a = \sqrt{369}$

$a = 19.20937271$

${c}^{2} = {a}^{2} + {b}^{2}$

${a}^{2} = {c}^{2} - {b}^{2}$

$a = \sqrt{ {c}^{2} - {b}^{2} }$

$a = \sqrt{ {22}^{2} - { \sqrt{369} }^{2} }$

$a = \sqrt{484 - 369}$

$a = \sqrt{115}$

$a = 10.72380529$

$x = 10.72380529$

$x \approx10.7$