S=49p+7*9p=(49+63)p=112P
answer is B
Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
Answer:
15.6 in.
Step-by-step explanation:
If the volume of the box is scaled down by a factor of 1/10, that means you just have to move the decimal over to the left by one place value, making the new volume 15.6 in because behind the 156 there's an invisible decimal in case you need it.
1. -1•5•5 or also -1•5²
2. -1•7•7 -1•7²
3. -1•7
4. -1•13
5. -1•2•2•2•3 -1•2³•3
6.-1•2•2•2•2•3 -1•2^4•3
7. -1•2•2•2•3•7 -1•2³•3•7
Both factorization are correct it just depends on your teacher how she/he wants you to write it.