Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule:
Answer:
I say number 2
Step-by-step explanation:
0.02 is 2 cents while 0.20 is twenty sense. That would make more sense
Answer:
It depends on how many other colors there are
Step-by-step explanation:
Answer:
2.2%
Step-by-step explanation:
Given the following :
Population in year 2000 (A) = 4.2 million
Expected population every 32 years = 2 *A
The growth rate per year =?
The population figure after 32 years = (2 * 4.2 million) = 8.4 million
Using the exponential growth formula :
P(t) = A × (1 + r)^t
(1 + r) = g = Total growth percent
A = Initial population
t = time
P(t) = 8.4 million
8,400,000 = 4,200,000 × g^32
g^32 = (8400000/4200000)
g^32 = 2
Taking the root of 32 on both sides
g = 1.02189714865
g = (1 + r)
1.02189714865 = 1 + r
r = 1.02189714865 - 1
r = 0.02189714865
.rate = 0.02189714865 * 100
= 2.18971486541%
= 2.2% ( nearest tenth)
Answer:
<h2>A, B, D, E</h2>
Step-by-step explanation:
2(2x + 1) = (2)(2x) + (2)(1) = 4x + 2 → A
<em>used distributive property</em>
2(2x + 1) = 2(1 + 2x) → B
<em>used commutative property</em>
2(2x + 1) = (2x + 1) + (2x + 1) = 2x + 1 + 2x + 1 → D
<em>used 2a = a + a</em>
2(2x + 1) = 4x + 2 = x + x + x + x + 1 + 1 → E
<em>used 4x = x + x + x + x and 2 = 1 + 1</em>
