3 years ago

Please I need help.

Mathematics

1 answer:

Vlad1618 [11]3 years ago

6 0

Answer:

XZ = 26.7

ZY = 11.7

Area = 140.4 sq inches

Step-by-step explanation:

m∠Z = 180-(26+90) = 64°

to get XZ you can use the law of sines:

sin 90°/XZ = sin 64°/24

1/XZ = sin(64°)

cross-multiply to get:

XZ·sin(64°) = 24

XZ = 24/sin(64°)

XZ = 26.7

to get ZY you can use the law of sines again:

sin 64°/24 = sin 26°/ZY

cross-multiply to get:

ZY·sin(64°) = 24·sin(26°)

ZY = 24·sin(26°) ÷ sin(64°)

ZY = 11.7

Area = 1/2(11.7)(24)

= 12(11.7)

= 140.4 sq inches

You might be interested in

Which pairs of angles are vertical angles?

adoni [48]

F,e and h,i are vertical angles i think.

8 0

3 years ago

Read 2 more answers

A trapezoid and a rectangle are both quadrilaterals. This means they both have_____ sides and_______ angles. The angles in a rec

Yanka [14]

Answer:

both have equal sides and equal Angel's

the angels In a rectangle 4 sides

the angles in a trapezoid is 4 sides

4 0

3 years ago

What is the equation for the translation of X^2+y^2=9 four units to the right and three units down

icang [17]

We know that
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)

the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²

see the attached figure