The answer to this is A) For 8 birdhouses, he will need 16 trapezoids.
(B = 12*4 is 48 not 16.) (C = A 2 to 1 ratio.) (D = a 1 to 2 ratio.) Hope that helps!
let us represent the question with a diagram for better understanding.
Using Pythagoras theorem
![\begin{gathered} c^2=12^2+9^2 \\ c^2=144+81 \\ c=\sqrt[\square]{225} \\ c=15\text{ km} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D12%5E2%2B9%5E2%20%5C%5C%20c%5E2%3D144%2B81%20%5C%5C%20c%3D%5Csqrt%5B%5Csquare%5D%7B225%7D%20%5C%5C%20c%3D15%5Ctext%7B%20km%7D%20%5Cend%7Bgathered%7D)
The distance between the parents and grandparent house = 15 km
Answer:
see explanation
Step-by-step explanation:
Using the identity
cos2Θ = 1 - 2sin²Θ, then
1 - 2sin²(
- 
)
= cos [2( - )]
= sos(
- Θ )
= coscosΘ + sin
= 0 × cosΘ + 1 × sinΘ
= 0 + sinΘ
= sinΘ = right side
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
Answer:
x - 17.95 = 71.80, $89.75
Step-by-step explanation:
Let the original price of the headphones be x
Amount of coupon = $17.95
You pay the final amount for the headphones after using the coupon = $71.80
So to find the original price of the headphones, the equation will be
x - 17.95 = 71.80
x = 17.95 + 71.80
x = $89.75
The original price of the headphones would be $89.75
