Answer:

Step-by-step explanation:
<u>Question 1</u>
<u>Part (a)</u> :
⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ
⇒ 6⁷ = 6ˣ
⇒ x = 7
<u>Part (b)</u> :
⇒ y² = 169
⇒ √y² = √169
⇒ y = ± 13
⇒ y = 13, y = -13
<u>Question 2</u>
<u>Part (a)</u> :
⇒ (√5)² × (√3)²
⇒ 5 × 3
⇒ 15
<u>Part (b)</u> :
⇒ (∛9)³ × (√30)²
⇒ 9 × 30
⇒ 270
Answer:
- 63 ft²
- h = 2A/b; h = 7 ft
Step-by-step explanation:
1. Put the values where the variables are in the formula, then do the arithmetic.
... A = (1/2)bh = (1/2)(18 ft)(7 ft) = 63 ft²
2. Divide by the coefficient of h. Substitute the given values and do the arithmetic.
... A = (1/2)bh
The coefficient of h is b/2, so we divide by that—or multiply by its inverse, 2/b.
... 2A/b = h
Substituting the given numbers, you have ...
... 2(28 ft²)/(8 ft) = h = 7 ft
The height of the triangle is 7 ft.
8)
is -0.896 radians
9) length of arc is 41.91 cm
Solution:
8)
Given that,

is in quadrant 4
To find: 
From given,

Thus value of
is -51.34 degrees
Convert degrees to radians

Thus
is -0.896 radians
9)
From given,
radius = 15.4 cm

<em><u>The length of arc when angle in radians is:</u></em>

Thus length of arc is 41.91 cm
Answer:
We can't directly answer it without the number of friends, so it would need to be a variable.
A=number of friends. X= slices
2/3 ÷ a = x