Aright triangle has one angle that measure 23o. the adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm.

what is the approximate area of the triangle? round to the nearest tenth.

area of a triangle = bh

Area of the triangle will be 161.70 cm²

Step-by-step explanation:

In the figure attached, in ΔABC  

m∠ABC = 23°

Adjacent side BC = 27.6 cm

and hypotenuse AC = 30 cm

Area of the triangle ABC =

=

By the sine rule,

sin23° =

AB = AC(sin23°)

     = 30sin23°

     = 30×(0.3907)

     = 11.72 cm

Area of the triangle ABC =

= 11.72×13.8

= 161.736 cm²

≈ 161.7 cm²

Therefore, area of the triangle will be 161.70 cm².

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt