Answer:
74=ab/c
Step-by-step explanation:
a=7c/4b
b=7c/4a
c=4ab/7
Answer:
(2x - 3)⁵= 32x⁵ - 240x⁴ + 720x³ - 1080x² + 810x - 243
Step-by-step explanation:
We need to write the expansion of Binomial (2x - 3)⁵
Here general form of binomial expansion is:
(a + b)ⁿ = ⁿC₀aⁿ + ⁿC₁aⁿ⁻¹b + ⁿC₂aⁿ⁻²b² + ⁿC₃aⁿ⁻³b³ + ... + ⁿCₙbⁿ
(2x - 3)⁵= ⁵C₀(2x)⁵ + ⁵C₁(2x)⁵⁻¹(-3) + ⁵C₂(2x)⁵⁻²(-3)² + ⁵C₃(2x)⁵⁻³(-3)³
+⁵C₄(2x)⁵⁻⁴(-3)⁴ + ⁵C₅(2x)⁵⁻⁵(-3)⁵
(2x - 3)⁵= (32x⁵) + 5(16x⁴)(-3) + 10(8x³)(-3)² + 10(4x²)(- 3)³ + 5(2x)(-3)⁴+(-3)⁵
(2x - 3)⁵= 32x⁵ - 240x⁴ + 720x³ - 1080x² + 810x - 243
That's the final answer.
Answer:
The value of height of the building h = 509.2 feet
Step-by-step explanation:
From the Δ A B C
⇒ h = y 
° ------- (1)
From Δ A B D
⇒ h = ( y + 300 ) 
° ------- (2)
Equation 1 = Equation 2
⇒ y ° = ( y + 300 ) °
⇒ 0.46 y = 0.36 y + 109.2
⇒ 0.1 y = 109.2
⇒ y = 1092 feet
Put this value of y in equation ( 1 ) we get,
⇒ h = 1092 × tan 25°
⇒ h = 509.2 feet
This is the value of height of the building.
Answer:
To prove a quadrilateral is a rhombus, here are three approaches:
- <em><u>Show that the shape is a parallelogram with equal length sides; </u></em>
- <em><u>Show that the shape is a parallelogram with equal length sides; Show that the shape's diagonals are each others' perpendicular bisectors; or</u></em>
- <em><u>Show that the shape is a parallelogram with equal length sides; Show that the shape's diagonals are each others' perpendicular bisectors; orShow that the shape's diagonals bisect both pairs of opposite angles.</u></em>
