Answer:
Step-by-step explanation:
Standard Form:
56,927.34
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
50,000
+6,000
+900
+20
+7
+0.3
+0.04
Expanded Factors Form:
5 ×10,000
+ 6 ×1,000
+ 9 ×100
+ 2 × 0
+ 7 ×1
+ 3 ×0.1
+ 4 ×0.01
Expanded Exponential Form:
5 × 104
+ 6 × 103
+ 9 × 102
+ 2 × 101
+ 7 × 100
+ 3 × 10-1
+ 4 × 10-2
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
Answer:
Step-by-step explanation:
x² + 9x+8 = (x+1)(x+8)
Answer:
59.4 km
Step-by-step explanation:
First you need to find the circumference of the circle. 20*3.14=62.8. Then, you divide this by two, because there is only half of a circle, to get 31.4.
Then you can just add 16 + 12 + 31.4 to get 59.4.
Answer:
x = -2/5
x = 1
Step-by-step explanation:
5x² - 3x - 2 = 0
(5x + 2)(x - 1) = 0
⇒ 5x + 2 = 0
⇒ 5x = -2
⇒ x = -2/5
⇒ x - 1 = 0
⇒ x = 1