Answer:
B) 6.68
Step-by-step explanation:
Use Cosine.
Cosine= Adjacent ÷ Hypotenuse
In this case the base you want to find is adjacent to the angle, 42°. Hence,
Cos (42)= adjacent ÷ hypotenuse
Cos (42) = x ÷ 9
x = Cos (42) × 9. Input that into your calculator.
x= 6.68
To remember the trigonometric ratios/formulas
Use the acronym, SOHCAHTOA
Hope this helps!!!!
(a) m∠a = 100°
(b) m∠b = 80°
(c) m∠c = 100°
Solution:
Given 3rd and 4th street are parallel lines and King Ave is a transveral line.
<em>Sum of the adjacent angles in a straight line = 180°</em>
⇒ m∠a + 80° = 180°
⇒ m∠a = 180° – 80°
⇒ m∠a = 100°
∠c and ∠a are vertically opposite angles.
<em>If two lines are intersecting, then the vertically opposite angles are congruent.</em>
⇒ ∠c ≅ ∠a
⇒ m∠c = m∠a
⇒ m∠c = 100°
<em>If two parallel lines are cut by a transversal, then the corresponding angles in the same side of the transversal are congruent.</em>
80° and angle b are corresponding angles.
⇒ m∠b = 80°
Hence m∠a = 100°, m∠b = 80° and m∠c = 100°.
С = 2πr [π≈3.14]
220 = 2 * 3.14 * r
220 = 6.28r
r = 220/6.28 ≈ 35 cm ← <span>to the nearest whole number.</span>
36 divided by 2 is 18
That mean each basketball is $18
18 dollars multiplied by 3 basketballs is 54
Three basket balls cost $54
:C
: I took the quiz and got the answer correct.
Hope this helps❤️