Answer:
<h2>The dimensions of the third blanket are 7.5 feet by 6 feet.</h2><h2>All the blankets are similar.</h2>
Step-by-step explanation:
The size of the first blanket is 2.5 feet by 2 feet.
Shannon wants to enlarge the first blanket by scale factor 2 to make the second blanket.
Hence, the size of the second blanket will be 
feet by 
feet.
Again she enlarged the second blanket by a scale factor 1.5 to make the third blanket.
Hence, the size of the second blanket will be 
feet by 
feet.
Enlargement only changes the size of the blanket, it does not change the shape of the blanket. Hence, all the blankets will be similar.
Answer:
x>-2
Step-by-step explanation:
13+x>11
Subtract 13 from each side
13-13+x>11-13
x>-2
Hope it helps and pls mark as brainliest
1) Surface Area = 2(lw + lh + wh)
2(4*5+4*9+5*9) =202in^2
Surface Area=202in^2
Lateral Area= Perimeter of base * height
5+5=10 <--width+width
4+4=8 <---length + length
10+8=18 <--total perimeter
18 * 9=162in^2 <--multiplied the height +perimeter of base
Lateral Area=162in^2
2) Same concept as the previous one
Surface Area = 2(lw + lh + wh)
2(4*2+4*5+5*2) =76in^2
Surface Area= 76in^2
Lateral Area
Lateral Area= Perimeter of base * height
4+4=8
2+2=4
8+4=12
12 x 5=60
Lateral Area= 60in^2
Answer:
Step-by-step explanation:
Required to prove that:
Sin θ(Sec θ + Cosec θ)= tan θ+1
Steps:
Recall sec θ= 1/cos θ and cosec θ=1/sin θ
Substitution into the Left Hand Side gives:
Sin θ(Sec θ + Cosec θ)
= Sin θ(1/cos θ + 1/sinθ )
Expanding the Brackets
=sinθ/cos θ + sinθ/sinθ
=tanθ+1 which is the Right Hand Side as required.
Note that from trigonometry sinθ/cosθ = tan θ
