Answer:
6.0 miles
Step-by-step explanation:
The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...
S7 = a1·(r^7 -1)/(r -1)
56.923 = a1·(1.1^7 -1)/(1.1 -1)
5.6923 = a1·0.9487171
Dividing by the coefficient of a1 gives its value:
5.6923/0.9487171 ≈ 5.999997 ≈ 6.000
The hiker traveled 6.0 miles on the first day.
Answer:
108 degrees
Step-by-step explanation:
Since angles A and B are supplementary, they both add up to 180. Angle A = 7x+10, and angle B = 7x-26. You can set up the equation A + B = 180, and then plug in angles A and B, which gives you 7x+10 + 7x-26 = 180. Then you just need to isolate x:
Combine like terms: 14x - 16 = 180
Add 16 to both sides: 14x = 196
Divide both sides by 14: x = 14
Now that you know x, you can plug it into the expression for angle A (7x+10):
A = 7(14) + 10 = 98+10 = 108
Answer:
18/5 or 36 necklace
Step-by-step explanation:
kendell made 2/5 necklace in 1/9 hours
how many will she make in 1 hour
hmmm?
2/5 = 1/9
x = 1
2/5 × 1 = 1/9x
x = 2/5 ÷ 1/9
x = 2/5 × 9/1
x = 18/5
x = 3.6necklace
Answer with Step-by-step explanation:
The given figure is a cuboid.
We know that surface area(S) of cuboid is given by:
S=2(lb+bh+hl)
Where l is the length, b is the breath and h is the height
Here, l=12 mm
b=6 mm
and h=(7+2) mm=9 mm
Surface Area= 2(12×6+6×9+9×12)
=2(72+54+108)
= 2×234
= 468 mm²
Hence, Correct option is:
C. 468 mm squared
