Answer:
=7.2×10⁵
is in scientific notation
Answer:
26.4ft²
Step-by-step explanation:
I first converted the centimeter values to feet
140Cm x 30.48 = 4.59
70cm x 30.48 = 2.3
the paper required is approximately equal to the area of the pyramid.
area of pyramid is equal to area of triangle + base²
Are of triangle = 1/2 x b xh
= 4 x 1/2 x4.59x2.3 + (2.3)²
= 2 x 4.59 x 2.3 + 5.29
= 26.4 feet²
therefore it will take 26.4 feet² paper to make each tree, including the bottom.
Answer:
Option D. 11√6/2
Step-by-step explanation:
We'll begin by calculating the side opposite to angle 60°.
This is illustrated below:
Angle θ = 60°
Opposite =?
Hypothenus = 11
Using the sine ratio, we can obtain the side opposite to angle 60° as follow:
Sine θ = Opposite/Hypothenus
Sine 60 = Opposite /11
Cross multiply
Opposite = 11 × Sine 60
Sine 60 = √3/2
Opposite = 11 × √3/2
Opposite = 11√3/2
Finally, we shall determine the value of x as follow:
Angle θ = 45°
Opposite = 11√3/2
Hypothenus = x
Using the sine ratio, we can obtain the value of x as shown below:
Sine θ = Opposite/Hypothenus
Sine 45° = 11√3/2 /x
Cross multiply
x × Sine 45° = 11√3/2
Sine 45° = 1/√2
x × 1/√2 = 11√3/2
x/√2 = 11√3/2
Multiply through by √2
x = √2 × 11√3/2
x = 11√6/2
Okay so you do 6r-8r which = -2r
Then you do 5t-4t which = 1t
So the answer simplified = -2r + 1t
