In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them

Theorem 8.18 and the Pythagorean Theorem to find the side lengths of the kite . Write the lengths in simplest radical form and a

Viktor [21]

Answer:

$|WX|=|XY|=\sqrt{18} =3\sqrt{2}\:Units \:or\: 4.2 \:Units\\|WZ|=|YZ|=\sqrt{34} \:Units \:or\: 5.8 \:Units$

Step-by-step explanation:

Theorem: The diagonals of a kite are perpendicular.

Let O be the point of intersection of the diagonals,

Applying Pythagoras Theorem, in right triangle WOX

$|WX|^2=|WO|^2+|OX|^2\\|WX|^2=3^2+3^2=18\\|WX|=\sqrt{18} =3\sqrt{2}\:Units \:or\: 4.2 \:Units$

Applying Pythagoras Theorem, in right triangle WOZ

$|WZ|^2=|WO|^2+|OZ|^2\\|WX|^2=3^2+5^2=34\\|WZ|=\sqrt{34} \:Units \:or\: 5.8 \:Units$

4 0

2 years ago

7. For a school fundraiser, Elena will make T-shirts. She will order T-shirts and print graphics on them. Elena must spend $349

MrRa [10]

Answer: a)

20 shirts | 349 + 20(4.8)

40 shirts | 349 + 40(4.8)

60 shirts | 349 + 60(4.8)

b) Tn = 349 + n(4.8)

c) (1000 - 349)/4.8 rounded down.

7 0

2 years ago

A 4 metre ladder is placed against a vertical wall.

Black_prince [1.1K]

Answer:

Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.

Step-by-step explanation:

By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.

Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.

By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.

Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625

y^2-y^2+0.5y+2.25–4.0625=0

0.5y- 1.8125=0

0.5y=1.8125

y=1.8125/0.5= 3.625

Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder

Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625

L^2=13.140625–0.90625+4.0615=15.390625

L= (15.390625)^1/2= 3.92 meters length of ladder

hope it helps...

correct me if I'm wrong...